Abstract
Tables of collision integrals are presented for the (m, 6) potential function for 87 reduced temperatures for each of 10 values of m. The exponents m used were m = 9, 12, 15, 18, 21, 24, 30, 40, 50, and 75. Comparisons are made with five other calculations for the case m = 12. The accuracy of the calculation appears to be at least several parts in 10,000.
Keywords: Collision integrals, potential, viscosity, diffusion, thermal diffusion, thermal conductivity, transport properties
1. Introduction
The kinetic theory of gases relates the macroscopic coefficients in the phenomenological flow equations, the so-called transport coefficients, to the microscopic intermolecular potential function between two of the constituent molecules. The connection is expressed, in the Chapman-Enskog solution of the Boltzmann equation [1, 2],2 in terms of certain three-fold integrals, generally referred to as collision integrals and designated Ω(l, s)*(T*). Given the intermolecular potential function appropriate to a particular system, one can calculate these integrals, and hence the macroscopic transport coefficients of the corresponding gas in the ideal gas state. Unfortunately, the potential functions are generally not well known so that the procedure must, in practice, be inverted, the theoretical relations connecting macroscopic experimental data with microscopic theory being used to learn something about the potential function. The way in which this is done has been amply described in the literature [2]. This procedure has recently been examined by one of us [3] in order to determine the sensitivity of the various properties to the potential function. The transport coefficients were found to be a possibly good source for learning something about the potential function. This requires tables of collision integrals for different classes of potential functions.
Such tables exist for the square-well [4], exp-6 [5, 6, 7], Morse [8], Kihara [9], inverse power [10], and one term exponential [11] families of functions. There are also tables for functions with a single term added to the (12, 6) function. These are the (12, 6, 3) [12], (12, 6, 4) [13], and (12, 6, 5) [14] functions. In addition, calculations exist for certain single functions, e.g., (9, 6), (28, 7), (16, 6) and (18, 6) potentials [15] and, of course, the (12, 6) function [2, 12, 16]. This work adds to these tables for the (m, 6) family for 10 values of m.
One hopes that the potential functions which turn out to be adequate for a description of macroscopic properties will be temperature independent and simple in form. Quantum mechanical perturbation theory indicates that the attraction for large separation should be described by a series of inverse powers of the internuclear distance starting with the inverse sixth power for neutral molecules. No theoretical justification exists for the repulsive part. Perhaps the simplest form which can be taken for this part is a single inverse power of the internuclear separation. It might be interesting to let the exponent of this repulsive term be a variable and to determine it, for any given system, from fits to experimental data. We have chosen to prepare the way for such an approach by calculating tables of collision integrals for such a potential.
The (m, 6) potential has the form
This function should prove useful on several counts. First of all, it is simple in form. Second, the repulsive index, m, serves as a simple indicator of the hardness of the repulsive core. Furthermore, the potential has been used in a number of more complicated theories [17, 18]. In some instances [17], this form has proved useful because the theory involves derivatives of the potential which then leads to simple recursion formulas on the index m. Finally, the potential functions derived from two body scattering data have often been represented by simple inverse powers of the inter-nuclear distance.
2. General Formulas
The collision integrals Ω(l, s)*(T*) are related to the potential functions through the relations
where Q(l)*(g*) is a cross section given by
with the intermolecular potential function being contained in the equation for the scattering angle
is the distance between a pair of molecules at the time of closest approach while b* is the impact parameter.
Certain ratios of the collision integrals appear in the transport theory of multicomponent mixtures [2]. These ratios being slowly varying functions of T* are also useful in interpolation. The relevant ratios are
The thermal diffusion ratio, αT, has long been considered a sensitive means for the determination of the intermolecular potential function. Of particular interest is the isotopic approximation to this quantity. In that approximation, the mixture consists of two isotopes of sufficiently large mass so that the difference in molecular weight between the isotopes can be neglected with respect to the molecular weights themselves. In addition, the differences between the intermolecular potential functions may also be neglected. The thermal diffusion ratio in this so-called isotopic approximation is called the isotopic thermal diffusion ratio.
We have calculated the isotopic thermal diffusion ratio for the first order solutions to the Boltzmann equation (at zero density) for both the Chapman-Cowling and Kihara methods [19, 20], as well as for the second order Kihara solution. The question of the convergence of the thermal diffusion ratio as higher order terms are taken has been examined by Mason [19] and others [20]. Our calculations are based on the following expressions: The first order Chapman-Cowling approximation:
The first order Kihara expression:
The second order Kihara expression:
where
where
and
The factors fη, fλ, and used to obtain Kihara’s second approximation to the coefficients of viscosity, diffusion and thermal conductivity are also presented. These are computed from the relations:
3. Numerical Results
The numerical methods employed have been described elsewhere [21]. These calculations differ from the earlier ones in that higher order Gaussian quadrature formulas have been used here.
Tables of collision integrals for the (12, 6) potential have been calculated by a number of other workers. For this reason, collision integrals for that function can be used to “calibrate” a new calculation. Our “calibration” is presented as table 1 in which are given differences, in parts per thousand, between our results for the (12, 6) function and those of other workers. Table 1 gives one an indication of the accuracy of our results. In particular, our results would appear to be good to at least one part per thousand over almost the entire range with strong indications that an accuracy of one part in ten thousand is likely for most values. As has been pointed out previously [8], the differences between our results and those of Monchick and Mason at high temperatures most likely result from errors in their calculations. The Hirshfelder, Curtiss, and Bird results [2] depart drastically from all calculations at the high and low temperature ends of the tables.
Table 1.
Deviations in parts per thousand between these results and other calculations
| Ω(2, 2)* | Ω(1, 1)* | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| T* | I | II | III | IV | V | VI | I | II | III | V | VI |
| 0.1 | 0.50 | 0.55 | 1.42 | 0.03 | |||||||
| .2 | 1.50 | .25 | 1.25 | .61 | |||||||
| .25 | 1.11 | 2.40 | |||||||||
| .3 | 1.45 | 0.96 | .15 | 21.19 | 1.06 | 1.86 | .76 | −3.67 | |||
| .35 | .23 | 19.03 | 1.61 | −2.07 | |||||||
| .4 | 1.05 | .70 | .10 | 16.72 | 1.26 | 1.86 | 1.08 | −0.30 | |||
| .45 | −.12 | 14.03 | 1.16 | −.53 | |||||||
| .5 | 1.04 | .78 | .39 | 12.89 | 0.67 | 1.15 | 0.57 | .72 | |||
| .55 | −.26 | 10.35 | 1.54 | .78 | |||||||
| .6 | 0.12 | −.07 | −0.45 | −.36 | 9.23 | .71 | 1.03 | −2.11 | .60 | .55 | |
| .65 | .21 | 8.74 | 0.65 | .65 | |||||||
| .7 | .44 | .33 | −.08 | .13 | 7.78 | .46 | .74 | −1.68 | .34 | .63 | |
| .75 | 6.56 | 1.18 | |||||||||
| .8 | −.17 | −.28 | −.62 | −.39 | 5.56 | 1.08 | 1.33 | −0.66 | 1.14 | 1.20 | |
| .85 | 4.79 | 1.06 | |||||||||
| .9 | .01 | −.05 | −.40 | −.17 | 4.37 | 0.29 | 0.49 | −.70 | 0.29 | 0.62 | |
| .95 | 4.35 | .36 | |||||||||
| 1.0 | .39 | .32 | .32 | −0.18 | .26 | 4.10 | −.03 | .11 | −.86 | −.03 | .53 |
| 1.1 | .0 | −.20 | 2.64 | .35 | 1.08 | 1.08 | |||||
| 1.2 | −.24 | −.30 | −.17 | −1.40 | −.30 | 1.90 | .82 | .29 | .36 | .74 | 1.12 |
| 1.3 | −.47 | −.12 | 1.67 | −.70 | .24 | 0.87 | |||||
| 1.4 | .14 | .06 | .21 | −0.30 | .06 | 1.69 | .14 | .06 | −.18 | .06 | .63 |
| 1.5 | .15 | .78 | 0.91 | .12 | .22 | .72 | |||||
| 1.6 | .11 | .03 | .11 | −.05 | .89 | .24 | .24 | .24 | 1.01 | ||
| 1.7 | −.07 | .98 | .36 | 1.15 | |||||||
| 1.8 | −.07 | −.15 | .18 | −.15 | .67 | .49 | .49 | .40 | 1.03 | ||
| 1.9 | −.44 | −.11 | .39 | −.59 | .42 | 1.24 | |||||
| 2.0 | −.06 | −.14 | .45 | −.14 | .54 | .43 | .33 | .43 | 0.71 | ||
| 2.2 | −.09 | .35 | −.09 | .08 | .38 | .38 | .86 | ||||
| 2.4 | −.12 | .33 | −.03 | −.03 | .12 | .02 | 1.31 | ||||
| 2.6 | −.07 | .39 | −.07 | −.26 | .01 | −.09 | 1.22 | ||||
| 2.8 | −.03 | .35 | −.03 | .25 | −.03 | −.08 | 0.96 | ||||
| 3.0 | −.01 | −.01 | .28 | −.10 | −.20 | .01 | .04 | .04 | 1.09 | ||
| 3.2 | .27 | −.32 | 1.43 | ||||||||
| 3.4 | −1.77 | −.48 | 1.43 | ||||||||
| 3.6 | 0.20 | −.21 | 1.39 | ||||||||
| 3.8 | .15 | −.26 | 1.34 | ||||||||
| 4.0 | −.07 | −.09 | .22 | −.09 | −.19 | .26 | .18 | .07 | 1.31 | ||
| 4.5 | −.14 | −.14 | −.25 | .10 | .10 | 0.91 | |||||
| 5.0 | −.05 | −.09 | .23 | −.09 | −.20 | .01 | −.03 | −.03 | .69 | ||
| 5.5 | −0.13 | −1.55 | −0.03 | −0.88 | |||||||
| 6.0 | −0.04 | −.08 | 0.14 | −0.08 | −0.20 | −0.09 | −.13 | −0.13 | 0.48 | ||
| 7.0 | −.06 | −.15 | .19 | −.04 | −.04 | .01 | −.04 | −.04 | .21 | ||
| 8.0 | −.05 | −.06 | .17 | −.06 | −.06 | .08 | −.04 | −.04 | −.04 | ||
| 9.0 | −.05 | −.11 | .13 | −.11 | .01 | .09 | .00 | .00 | .00 | ||
| 10.0 | −.04 | −.10 | .14 | −.10 | .14 | .06 | .06 | .06 | −.21 | ||
| 11.0 | −.12 | .13 | −.04 | ||||||||
| 12.0 | −.04 | −.12 | .13 | −.12 | .00 | .03 | .03 | ||||
| 13.0 | .08 | ||||||||||
| 14.0 | −.06 | −.02 | −.02 | −.03 | .03 | ||||||
| 15.0 | .04 | ||||||||||
| 16.0 | −.07 | −.15 | −.02 | −.15 | −.01 | −.07 | −.07 | ||||
| 18.0 | −.09 | −.12 | −.01 | −.01 | |||||||
| 20.0 | −.13 | −.08 | −.08 | .46 | −.02 | −.10 | −.10 | .05 | |||
| 24.0 | −.19 | .04 | |||||||||
| 30.0 | −.43 | −.19 | .24 | −.09 | −.09 | .40 | |||||
| 32.0 | −.20 | .23 | −.10 | ||||||||
| 40.0 | −1.08 | −.16 | −.16 | −.31 | −.25 | −.09 | −.09 | .42 | |||
| 45.0 | −.19 | −.09 | |||||||||
| 50.0 | −1.97 | −.14 | −.30 | −1.07 | −.55 | −.10 | −.10 | .59 | |||
| 60.0 | −2.00 | .39 | |||||||||
| 70.0 | −2.69 | .19 | |||||||||
| 75.0 | −4.31 | −.94 | −1.52 | −.30 | |||||||
| 80.0 | −.05 | −3.67 | −.01 | −.01 | |||||||
| 90.0 | −4.48 | −.39 | |||||||||
| 100.0 | −6.06 | −.06 | −2.16 | −5.21 | −2.45 | −.08 | −.66 | −.471 | |||
| 200.0 | −.05 | −12.08 | −.07 | −3.09 | |||||||
L. Monchick and E. A. Mason, J. Chem. Phys. 35, 1676 (1961).
E. C. Itean, A. R. Glueck, and R. A. Svehla, TND–481 National Aeronautics and Space Agency, Lewis Research Center, Cleveland, Ohio (1961).
J. A. Barker, W. Fock, and F. Smith, Phys. Fl. 7, 897 (1964).
F. A. Krieger, Report RM-646, The Rand Corporation, Santa Monica, California.
J. P. O’Connell and J. M. Prausnitz, Advances in Thermophysical Properties at Extreme Pressures, pp. 19–31, ASME, New York (1965).
J. O. Hirshfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (John Wiley & Sons, New York, N.Y., 1954).
We have also included a table of Boyle temperatures and Boyle volumes for these potentials. These quantities have proven useful in the correlation of gas properties. Also presented are the ratios of the Boyle temperatures and volumes for each function to those for the (12, 6) function. Such ratios can be used to obtain good first guesses at the parameters ϵ/k and b0 appropriate to a given substance for any of these values of m, given the ϵ/k and b0 values for the (12, 6) function for that substance. One need only to divide the ϵ/k and b0 values for the (12, 6) function by the ratios for the other function.
Table 2.
Boyle parameters for the (m, 6) potentials
| m | ||||
|---|---|---|---|---|
| 9 | 4.5554 | 1.3328 | 0.7153 | 0.8817 |
| 12 | 3.4179 | 1.0000 | .8112 | 1.0000 |
| 15 | 2.8766 | 0.8416 | .8730 | 1.0761 |
| 18 | 2.5581 | .7484 | .9164 | 1.1296 |
| 21 | 2.3471 | .6867 | .9487 | 1.1296 |
| 24 | 2.1964 | .6426 | .9737 | 1.2002 |
| 30 | 1.9943 | .5835 | 1.0099 | 1.2449 |
| 40 | 1.7997 | .5266 | 1.0478 | 1.2916 |
| 50 | 1.6848 | .4929 | 1.0714 | 1.3208 |
| 75 | 1.5314 | .4481 | 1.1042 | 1.3612 |
Table 3a.
Collision integrals for the (9, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 4.7348 | 4.7232 | 4.1639 | 3.7719 | 4.3120 | 4.3589 |
| .15 | 4.0703 | 4.1080 | 3.5435 | 3.1645 | 3.7606 | 3.7046 |
| .20 | 3.6211 | 3.7308 | 3.1036 | 2.7174 | 3.4102 | 3.2510 |
| .25 | 3.2752 | 3.4463 | 2.7585 | 2.3729 | 3.1232 | 2.9086 |
| .30 | 2.9910 | 3.2046 | 2.4791 | 2.1062 | 2.8694 | 2.6410 |
| .35 | 2.7606 | 2.9914 | 2.2577 | 1.9026 | 2.6468 | 2.4237 |
| .40 | 2.5571 | 2.8090 | 2.0709 | 1.7402 | 2.4555 | 2.2436 |
| .45 | 2.3935 | 2.6414 | 1.9232 | 1.6141 | 2.2883 | 2.0938 |
| .50 | 2.2457 | 2.4901 | 1.7969 | 1.5114 | 2.1428 | 1.9676 |
| .55 | 2.1174 | 2.3627 | 1.6906 | 1.4273 | 2.0202 | 1.8585 |
| .60 | 2.0124 | 2.2456 | 1.6039 | 1.3589 | 1.9130 | 1.7648 |
| .65 | 1.9177 | 2.1386 | 1.5287 | 1.3012 | 1.8193 | 1.6850 |
| .70 | 1.8321 | 2.0449 | 1.4634 | 1.2521 | 1.7381 | 1.6142 |
| .75 | 1.7558 | 1.9625 | 1.4064 | 1.2100 | 1.6675 | 1.5518 |
| .80 | 1.6887 | 1.8895 | 1.3569 | 1.1735 | 1.6057 | 1.4969 |
| .85 | 1.6310 | 1.8229 | 1.3141 | 1.1418 | 1.5510 | 1.4484 |
| .90 | 1.5798 | 1.7612 | 1.2765 | 1.1141 | 1.5018 | 1.4050 |
| .95 | 1.5324 | 1.7054 | 1.2426 | 1.0893 | 1.4580 | 1.3662 |
| 1.00 | 1.4886 | 1.6554 | 1.2120 | 1.0672 | 1.4189 | 1.3312 |
| 1.10 | 1.4118 | 1.5694 | 1.1594 | 1.0292 | 1.3522 | 1.2707 |
| 1.20 | 1.3475 | 1.4971 | 1.1160 | .9979 | 1.2971 | 1.2202 |
| 1.30 | 1.2936 | 1.4360 | 1.0796 | .9715 | 1.2512 | 1.1779 |
| 1.40 | 1.2489 | 1.3833 | 1.0490 | .9490 | 1.2123 | 1.1418 |
| 1.50 | 1.2096 | 1.3375 | 1.0225 | .9294 | 1.1789 | 1.1108 |
| 1.60 | 1.1747 | 1.2977 | .9993 | .9121 | 1.1499 | 1.0837 |
| 1.70 | 1.1437 | 1.2629 | .9788 | .8968 | 1.1246 | 1.0599 |
| 1.80 | 1.1160 | 1.2323 | .9606 | .8831 | 1.1023 | 1.0387 |
| 1.90 | 1.0912 | 1.2051 | .9442 | .8707 | 1.0825 | 1.0199 |
| 2.00 | 1.0689 | 1.1807 | .9295 | .8594 | 1.0647 | 1.0029 |
| 2.20 | 1.0304 | 1.1389 | .9038 | .8396 | 1.0341 | .9737 |
| 2.40 | .9987 | 1.1040 | .8822 | .8225 | 1.0086 | .9493 |
| 2.60 | .9722 | 1.0747 | .8638 | .8077 | .9869 | .9284 |
| 2.80 | .9492 | 1.0495 | .8477 | .7945 | .9682 | .9104 |
| 3.00 | .9289 | 1.0278 | .8334 | .7828 | .9517 | .8945 |
| 3.20 | .9109 | 1.0088 | .8206 | .7721 | .9371 | .8804 |
| 3.40 | .8948 | .9919 | .8090 | .7624 | .9241 | .8678 |
| 3.60 | .8804 | .9768 | .7985 | .7534 | .9122 | .8563 |
| 3.80 | .8674 | .9631 | .7889 | .7452 | .9014 | .8459 |
| 4.00 | .8555 | .9508 | .7801 | .7375 | .8915 | .8363 |
| 4.50 | .8298 | .9241 | .7606 | .7204 | .8699 | .8154 |
| 5.00 | .8086 | .9020 | .7441 | .7057 | .8516 | .7977 |
| 5.50 | .7907 | .8834 | .7297 | .6928 | .8359 | .7826 |
| 6.00 | .7752 | .8673 | .7171 | .6813 | .8221 | .7693 |
| 6.50 | .7616 | .8531 | .7058 | .6710 | .8099 | .7576 |
| 7.00 | .7495 | .8406 | .6956 | .6617 | .7990 | .7471 |
| 7.50 | .7385 | .8293 | .6864 | .6531 | .7891 | .7375 |
| 8.00 | .7286 | .8190 | .6778 | .6452 | .7799 | .7288 |
| 8.50 | .7195 | .8097 | .6700 | .6379 | .7716 | .7208 |
| 9.00 | .7111 | .8011 | .6627 | .6312 | .7638 | .7134 |
| 9.50 | .7033 | .7931 | .6560 | .6248 | .7566 | .7065 |
| 10.00 | .6961 | .7857 | .6496 | .6189 | .7498 | .7000 |
| 11.00 | .6830 | .7722 | .6380 | .6079 | .7375 | .6882 |
| 12.00 | .6714 | .7603 | .6277 | .5982 | .7264 | .6777 |
| 13.00 | .6610 | .7496 | .6183 | .5893 | .7164 | .6682 |
| 14.00 | .6516 | .7398 | .6097 | .5812 | .7072 | .6595 |
| 15.00 | .6430 | .7309 | .6019 | .5737 | .6988 | .6515 |
| 16.00 | .6351 | .7227 | .5947 | .5668 | .6910 | .6441 |
| 17.00 | .6278 | .7150 | .5879 | .5603 | .6837 | .6372 |
| 18.00 | .6210 | .7079 | .5817 | .5543 | .6769 | .6307 |
| 19.00 | .6147 | .7012 | .5758 | .5487 | .6705 | .6246 |
| 20.00 | .6087 | .6950 | .5703 | .5434 | .6645 | .6189 |
| 22.00 | .5978 | .6834 | .5601 | .5336 | .6533 | .6084 |
| 24.00 | .5881 | .6730 | .5509 | .5248 | .6433 | .5989 |
| 26.00 | .5792 | .6636 | .5426 | .5169 | .6342 | .5903 |
| 28.00 | .5711 | .6549 | .5351 | .5096 | .6258 | .5824 |
| 30.00 | .5637 | .6469 | .5281 | .5028 | .6180 | .5751 |
| 32.00 | .5568 | .6395 | .5216 | .4966 | .6108 | .5683 |
| 34.00 | .5505 | .6325 | .5156 | .4908 | .6041 | .5620 |
| 36.00 | .5445 | .6261 | .5099 | .4854 | .5978 | .5561 |
| 38.00 | .5389 | .6200 | .5046 | .4803 | .5919 | .5505 |
| 40.00 | .5337 | .6142 | .4997 | .4755 | .5864 | .5453 |
| 45.00 | .5218 | .6012 | .4884 | .4647 | .5737 | .5334 |
| 50.00 | .5113 | .5897 | .4785 | .4552 | .5626 | .5229 |
| 55.00 | .5020 | .5794 | .4697 | .4467 | .5526 | .5136 |
| 60.00 | .4936 | .5701 | .4617 | .4391 | .5436 | .5052 |
| 65.00 | .4860 | .5617 | .4545 | .4321 | .5354 | .4975 |
| 70.00 | .4791 | .5539 | .4479 | .4258 | .5279 | .4905 |
| 75.00 | .4727 | .5468 | .4419 | .4200 | .5210 | .4840 |
| 80.00 | .4667 | .5402 | .4362 | .4146 | .5146 | .4780 |
| 85.00 | .4612 | .5340 | .4310 | .4096 | .5087 | .4724 |
| 90.00 | .4561 | .5282 | .4262 | .4049 | .5031 | .4672 |
| 95.00 | .4512 | .5228 | .4216 | .4005 | .4979 | .4623 |
| 100.00 | .4467 | .5177 | .4173 | .3964 | .4930 | .4577 |
| 125.00 | .4273 | .4960 | .3990 | .3789 | .4720 | .4381 |
| 150.00 | .4121 | .4787 | .3846 | .3651 | .4553 | .4226 |
| 175.00 | .3995 | .4645 | .3727 | .3537 | .4416 | .4098 |
| 200.00 | .3889 | .4524 | .3627 | .3441 | .4300 | .3989 |
Table 4a.
Collision integrals for the (12, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 4.0127 | 4.1039 | 3.5538 | 3.2422 | 3.7626 | 3.7519 |
| .15 | 3.4833 | 3.5879 | 3.0684 | 2.7772 | 3.2938 | 3.2320 |
| .20 | 3.1328 | 3.2686 | 2.7334 | 2.4413 | 3.0018 | 2.8788 |
| .25 | 2.8677 | 3.0336 | 2.4723 | 2.1779 | 2.7741 | 2.6109 |
| .30 | 2.6509 | 2.8456 | 2.2574 | 1.9669 | 2.5815 | 2.3979 |
| .35 | 2.4695 | 2.6777 | 2.0809 | 1.8000 | 2.4074 | 2.2248 |
| .40 | 2.3171 | 2.5327 | 1.9353 | 1.6668 | 2.2566 | 2.0790 |
| .45 | 2.1823 | 2.4003 | 1.8114 | 1.5583 | 2.1220 | 1.9569 |
| .50 | 2.0662 | 2.2867 | 1.7074 | 1.4701 | 2.0072 | 1.8511 |
| .55 | 1.9681 | 2.1774 | 1.6212 | 1.3981 | 1.9031 | 1.7615 |
| .60 | 1.8779 | 2.0828 | 1.5455 | 1.3373 | 1.8137 | 1.6831 |
| .65 | 1.7979 | 1.9994 | 1.4800 | 1.2857 | 1.7358 | 1.6137 |
| .70 | 1.7298 | 1.9230 | 1.4247 | 1.2424 | 1.6671 | 1.5535 |
| .75 | 1.6699 | 1.8521 | 1.3768 | 1.2052 | 1.6059 | 1.5008 |
| .80 | 1.6139 | 1.7885 | 1.3336 | 1.1724 | 1.5515 | 1.4535 |
| .85 | 1.5633 | 1.7327 | 1.2955 | 1.1439 | 1.5040 | 1.4113 |
| .90 | 1.5175 | 1.6821 | 1.2616 | 1.1187 | 1.4615 | 1.3733 |
| .95 | 1.4763 | 1.6360 | 1.2313 | 1.0963 | 1.4235 | 1.3392 |
| 1.00 | 1.4394 | 1.5933 | 1.2042 | 1.0762 | 1.3890 | 1.3084 |
| 1.10 | 1.3767 | 1.5175 | 1.1583 | 1.0421 | 1.3296 | 1.2553 |
| 1.20 | 1.3218 | 1.4542 | 1.1197 | 1.0137 | 1.2805 | 1.2109 |
| 1.30 | 1.2744 | 1.4010 | 1.0871 | .9898 | 1.2395 | 1.1732 |
| 1.40 | 1.2335 | 1.3550 | 1.0591 | .9692 | 1.2046 | 1.1409 |
| 1.50 | 1.1983 | 1.3151 | 1.0351 | .9515 | 1.1747 | 1.1131 |
| 1.60 | 1.1678 | 1.2801 | 1.0143 | .9359 | 1.1487 | 1.0888 |
| 1.70 | 1.1414 | 1.2491 | .9960 | .9221 | 1.1259 | 1.0675 |
| 1.80 | 1.1175 | 1.2215 | .9796 | .9096 | 1.1058 | 1.0486 |
| 1.90 | 1.0956 | 1.1971 | .9648 | .8984 | 1.0879 | 1.0317 |
| 2.00 | 1.0760 | 1.1753 | .9515 | .8882 | 1.0718 | 1.0165 |
| 2.20 | 1.0418 | 1.1379 | .9284 | .8703 | 1.0443 | .9901 |
| 2.40 | 1.0131 | 1.1069 | .9089 | .8550 | 1.0213 | .9681 |
| 2.60 | .9888 | 1.0807 | .8922 | .8416 | 1.0019 | .9495 |
| 2.80 | .9679 | 1.0581 | .8776 | .8298 | .9851 | .9333 |
| 3.00 | .9499 | 1.0386 | .8647 | .8193 | .9704 | .9191 |
| 3.20 | .9342 | 1.0215 | .8533 | .8098 | .9574 | .9066 |
| 3.40 | .9200 | 1.0064 | .8430 | .8011 | .9458 | .8954 |
| 3.60 | .9071 | .9929 | .8336 | .7931 | .9353 | .8852 |
| 3.80 | .8954 | .9807 | .8250 | .7858 | .9258 | .8760 |
| 4.00 | .8847 | .9697 | .8170 | .7789 | .9171 | .8676 |
| 4.50 | .8617 | .9461 | .7996 | .7638 | .8981 | .8492 |
| 5.00 | .8427 | .9266 | .7849 | .7507 | .8822 | .8337 |
| 5.50 | .8266 | .9102 | .7721 | .7393 | .8685 | .8204 |
| 6.00 | .8127 | .8961 | .7609 | .7291 | .8564 | .8088 |
| 6.50 | .8005 | .8837 | .7508 | .7199 | .8457 | .7984 |
| 7.00 | .7897 | .8726 | .7418 | .7116 | .8361 | .7891 |
| 7.50 | .7800 | .8627 | .7335 | .7039 | .8273 | .7807 |
| 8.00 | .7711 | .8537 | .7260 | .6969 | .8193 | .7729 |
| 8.50 | .7631 | .8454 | .7190 | .6904 | .8118 | .7657 |
| 9.00 | .7556 | .8378 | .7125 | .6843 | .8049 | .7591 |
| 9.50 | .7487 | .8308 | .7064 | .6786 | .7985 | .7529 |
| 10.00 | .7422 | .8242 | .7007 | .6732 | .7925 | .7471 |
| 11.00 | .7306 | .8123 | .6904 | .6634 | .7814 | .7365 |
| 12.00 | .7202 | .8017 | .6811 | .6546 | .7715 | .7269 |
| 13.00 | .7109 | .7921 | .6727 | .6466 | .7625 | .7183 |
| 14.00 | .7025 | .7834 | .6650 | .6392 | .7543 | .7105 |
| 15.00 | .6948 | .7754 | .6579 | .6325 | .7468 | .7032 |
| 16.00 | .6877 | .7681 | .6514 | .6262 | .7398 | .6966 |
| 17.00 | .6811 | .7613 | .6453 | .6204 | .7333 | .6903 |
| 18.00 | .6750 | .7549 | .6397 | .6150 | .7272 | .6845 |
| 19.00 | .6693 | .7489 | .6343 | .6099 | .7215 | .6791 |
| 20.00 | .6640 | .7433 | .6293 | .6051 | .7161 | .6740 |
| 22.00 | .6542 | .7330 | .6202 | .5962 | .7062 | .6645 |
| 24.00 | .6453 | .7238 | .6119 | .5883 | .6973 | .6560 |
| 26.00 | .6374 | .7153 | .6044 | .5810 | .6892 | .6483 |
| 28.00 | .6301 | .7076 | .5975 | .5744 | .6817 | .6412 |
| 30.00 | .6234 | .7005 | .5912 | .5683 | .6748 | .6347 |
| 32.00 | .6172 | .6939 | .5853 | .5626 | .6685 | .6286 |
| 34.00 | .6114 | .6878 | .5798 | .5573 | .6625 | .6229 |
| 36.00 | .6060 | .6820 | .5747 | .5524 | .6569 | .6176 |
| 38.00 | .6010 | .6766 | .5699 | .5478 | .6516 | .6126 |
| 40.00 | .5962 | .6715 | .5654 | .5434 | .6467 | .6079 |
| 45.00 | .5854 | .6599 | .5551 | .5335 | .6354 | .5972 |
| 50.00 | .5759 | .6496 | .5461 | .5247 | .6255 | .5878 |
| 55.00 | .5674 | .6405 | .5380 | .5169 | .6165 | .5793 |
| 60.00 | .5598 | .6322 | .5307 | .5099 | .6085 | .5717 |
| 65.00 | .5528 | .6246 | .5241 | .5035 | .6011 | .5647 |
| 70.00 | .5465 | .6177 | .5180 | .4976 | .5944 | .5584 |
| 75.00 | .5406 | .6113 | .5124 | .4922 | .5882 | .5525 |
| 80.00 | .5352 | .6053 | .5072 | .4872 | .5824 | .5470 |
| 85.00 | .5301 | .5998 | .5024 | .4825 | .5770 | .5419 |
| 90.00 | .5254 | .5946 | .4979 | .4782 | .5719 | .5371 |
| 95.00 | .5209 | .5897 | .4936 | .4741 | .5672 | .5327 |
| 100.00 | .5167 | .5851 | .4896 | .4702 | .5627 | .5284 |
| 125.00 | .4989 | .5654 | .4726 | .4537 | .5436 | .5104 |
| 150.00 | .4847 | .5497 | .4590 | .4406 | .5283 | .4960 |
| 175.00 | .4729 | .5366 | .4478 | .4299 | .5157 | .4841 |
| 200.00 | .4630 | .5256 | .4383 | .4207 | .5050 | .4740 |
Table 5a.
Collision integrals for the (15, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 3.6513 | 3.7783 | 3.2394 | 2.9622 | 3.4684 | 3.4346 |
| .15 | 3.1790 | 3.3103 | 2.8119 | 2.5591 | 3.0427 | 2.9780 |
| .20 | 2.8718 | 3.0168 | 2.5250 | 2.2774 | 2.7745 | 2.6720 |
| .25 | 2.6422 | 2.8068 | 2.3034 | 2.0556 | 2.5756 | 2.4406 |
| .30 | 2.4585 | 2.6382 | 2.1238 | 1.8781 | 2.4083 | 2.2572 |
| .35 | 2.3050 | 2.4971 | 1.9741 | 1.7341 | 2.2637 | 2.1053 |
| .40 | 2.1721 | 2.3716 | 1.8471 | 1.6165 | 2.1340 | 1.9791 |
| .45 | 2.0601 | 2.2585 | 1.7420 | 1.5217 | 2.0191 | 1.8716 |
| .50 | 1.9599 | 2.1566 | 1.6511 | 1.4429 | 1.9172 | 1.7802 |
| .55 | 1.8724 | 2.0682 | 1.5734 | 1.3773 | 1.8292 | 1.6991 |
| .60 | 1.7975 | 1.9839 | 1.5082 | 1.3229 | 1.7498 | 1.6305 |
| .65 | 1.7289 | 1.9085 | 1.4505 | 1.2763 | 1.6796 | 1.5696 |
| .70 | 1.6668 | 1.8429 | 1.3998 | 1.2363 | 1.6190 | 1.5153 |
| .75 | 1.6124 | 1.7833 | 1.3558 | 1.2019 | 1.5652 | 1.4675 |
| .80 | 1.5647 | 1.7270 | 1.3176 | 1.1721 | 1.5164 | 1.4249 |
| .85 | 1.5217 | 1.6756 | 1.2837 | 1.1460 | 1.4729 | 1.3873 |
| .90 | 1.4814 | 1.6299 | 1.2530 | 1.1228 | 1.4342 | 1.3533 |
| .95 | 1.4445 | 1.5889 | 1.2255 | 1.1021 | 1.3998 | 1.3224 |
| 1.00 | 1.4106 | 1.5509 | 1.2005 | 1.0836 | 1.3684 | 1.2940 |
| 1.10 | 1.3526 | 1.4845 | 1.1579 | 1.0518 | 1.3146 | 1.2456 |
| 1.20 | 1.3047 | 1.4271 | 1.1229 | 1.0257 | 1.2696 | 1.2052 |
| 1.30 | 1.2628 | 1.3777 | 1.0931 | 1.0036 | 1.2316 | 1.1707 |
| 1.40 | 1.2260 | 1.3360 | 1.0675 | .9846 | 1.1996 | 1.1412 |
| 1.50 | 1.1937 | 1.3000 | 1.0453 | .9682 | 1.1721 | 1.1157 |
| 1.60 | 1.1655 | 1.2682 | 1.0260 | .9538 | 1.1481 | 1.0934 |
| 1.70 | 1.1407 | 1.2400 | 1.0089 | .9409 | 1.1271 | 1.0737 |
| 1.80 | 1.1189 | 1.2148 | .9938 | .9295 | 1.1084 | 1.0563 |
| 1.90 | 1.0995 | 1.1923 | .9804 | .9192 | 1.0919 | 1.0407 |
| 2.00 | 1.0820 | 1.1722 | .9682 | .9098 | 1.0771 | 1.0267 |
| 2.20 | 1.0509 | 1.1376 | .9469 | .8933 | 1.0516 | 1.0025 |
| 2.40 | 1.0246 | 1.1091 | .9289 | .8793 | 1.0304 | .9823 |
| 2.60 | 1.0023 | 1.0850 | .9135 | .8670 | 1.0125 | .9651 |
| 2.80 | .9830 | 1.0643 | .9001 | .8563 | .9970 | .9502 |
| 3.00 | .9663 | 1.0464 | .8883 | .8466 | .9835 | .9372 |
| 3.20 | .9516 | 1.0306 | .8778 | .8379 | .9716 | .9257 |
| 3.40 | .9387 | 1.0167 | .8683 | .8301 | .9610 | .9155 |
| 3.60 | .9271 | 1.0043 | .8598 | .8228 | .9514 | .9062 |
| 3.80 | .9165 | .9931 | .8519 | .8161 | .9427 | .8978 |
| 4.00 | .9068 | .9830 | .8447 | .8099 | .9348 | .8901 |
| 4.50 | .8857 | .9613 | .8288 | .7962 | .9175 | .8733 |
| 5.00 | .8683 | .9436 | .8154 | .7844 | .9030 | .8592 |
| 5.50 | .8536 | .9286 | .8038 | .7740 | .8906 | .8472 |
| 6.00 | .8409 | .9157 | .7936 | .7648 | .8797 | .8366 |
| 6.50 | .8298 | .9045 | .7846 | .7566 | .8700 | .8272 |
| 7.00 | .8199 | .8944 | .7764 | .7490 | .8613 | .8188 |
| 7.50 | .8110 | .8855 | .7689 | .7422 | .8534 | .8112 |
| 8.00 | .8030 | .8773 | .7621 | .7358 | .8462 | .8042 |
| 8.50 | .7957 | .8698 | .7558 | .7299 | .8395 | .7977 |
| 9.00 | .7889 | .8630 | .7499 | .7244 | .8333 | .7917 |
| 9.50 | .7827 | .8566 | .7444 | .7193 | .8275 | .7861 |
| 10.00 | .7769 | .8507 | .7393 | .7145 | .8221 | .7809 |
| 11.00 | .7663 | .8400 | .7300 | .7057 | .8123 | .7714 |
| 12.00 | .7570 | .8305 | .7216 | .6977 | .8035 | .7629 |
| 13.00 | .7486 | .8219 | .7140 | .6905 | .7955 | .7552 |
| 14.00 | .7409 | .8142 | .7071 | .6839 | .7882 | .7482 |
| 15.00 | .7340 | .8071 | .7008 | .6779 | .7815 | .7418 |
| 16.00 | .7276 | .8005 | .6949 | .6723 | .7753 | .7359 |
| 17.00 | .7217 | .7945 | .6894 | .6670 | .7696 | .7303 |
| 18.00 | .7162 | .7888 | .6843 | .6621 | .7642 | .7252 |
| 19.00 | .7111 | .7835 | .6796 | .6576 | .7592 | .7203 |
| 20.00 | .7062 | .7785 | .6751 | .6532 | .7544 | .7158 |
| 22.00 | .6974 | .7694 | .6668 | .6453 | .7456 | .7074 |
| 24.00 | .6895 | .7612 | .6594 | .6381 | .7377 | .6998 |
| 26.00 | .6823 | .7537 | .6526 | .6316 | .7305 | .6929 |
| 28.00 | .6757 | .7469 | .6464 | .6256 | .7239 | .6865 |
| 30.00 | .6697 | .7406 | .6407 | .6200 | .7178 | .6807 |
| 32.00 | .6641 | .7347 ‘ | .6354 | .6149 | .7121 | .6752 |
| 34.00 | .6589 | .7292 | .6304 | .6101 | .7068 | .6702 |
| 36.00 | .6540 | .7241 | .6258 | .6056 | .7018 | .6654 |
| 38.00 | .6495 | .7193 | .6215 | .6014 | .6971 | .6609 |
| 40.00 | .6452 | .7148 | .6174 | .5975 | .6927 | .6567 |
| 45.00 | .6354 | .7044 | .6081 | .5884 | .6826 | .6471 |
| 50.00 | .6268 | .6953 | .5998 | .5805 | .6737 | .6386 |
| 55.00 | .6192 | .6871 | .5925 | .5733 | .6657 | .6310 |
| 60.00 | .6122 | .6797 | .5859 | .5669 | .6585 | .6241 |
| 65.00 | .6059 | .6729 | .5798 | .5610 | .6519 | .6178 |
| 70.00 | .6002 | .6667 | .5743 | .5557 | .6458 | .6120 |
| 75.00 | .5948 | .6610 | .5692 | .5507 | .6402 | .6067 |
| 80.00 | .5899 | .6556 | .5644 | .5461 | .6350 | .6017 |
| 85.00 | .5853 | .6507 | .5600 | .5418 | .6302 | .5971 |
| 90.00 | .5809 | .6460 | .5558 | .5378 | .6256 | .5927 |
| 95.00 | .5769 | .6416 | .5519 | .5340 | .6213 | .5887 |
| 100.00 | .5731 | .6374 | .5483 | .5304 | .6173 | .5848 |
| 125.00 | .5567 | .6197 | .5326 | .5152 | .5999 | .5683 |
| 150.00 | .5436 | .6054 | .5200 | .5030 | .5861 | .5552 |
| 175.00 | .5328 | .5936 | .5096 | .4930 | .5746 | .5442 |
| 200.00 | .5236 | .5835 | .5008 | .4844 | .5648 | .5349 |
Table 6a.
Collision integrals for the (18, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 3.4376 | 3.5794 | 3.0510 | 2.7923 | 3.2867 | 3.2385 |
| .15 | 2.9961 | 3.1375 | 2.6548 | 2.4226 | 2.8848 | 2.8166 |
| .20 | 2.7121 | 2.8620 | 2.3936 | 2.1703 | 2.6342 | 2.5371 |
| .25 | 2.5030 | 2.6645 | 2.1957 | 1.9746 | 2.4495 | 2.3280 |
| .30 | 2.3366 | 2.5101 | 2.0351 | 1.8163 | 2.2988 | 2.1614 |
| .35 | 2.1977 | 2.3797 | 1.9010 | 1.6871 | 2.1674 | 2.0255 |
| .40 | 2.0809 | 2.2634 | 1.7895 | 1.5824 | 2.0498 | 1.9126 |
| .45 | 1.9778 | 2.1652 | 1.6929 | 1.4948 | 1.9489 | 1.8136 |
| .50 | 1.8903 | 2.0714 | 1.6124 | 1.4235 | 1.8561 | 1.7308 |
| .55 | 1.8107 | 1.9903 | 1.5415 | 1.3630 | 1.7759 | 1.6582 |
| .60 | 1.7414 | 1.9179 | 1.4809 | 1.3122 | 1.7054 | 1.5937 |
| .65 | 1.6812 | 1.8489 | 1.4291 | 1.2694 | 1.6414 | 1.5385 |
| .70 | 1.6261 | 1.7873 | 1.3832 | 1.2325 | 1.5850 | 1.4896 |
| .75 | 1.5756 | 1.7330 | 1.3422 | 1.2002 | 1.5354 | 1.4451 |
| .80 | 1.5307 | 1.6836 | 1.3062 | 1.1721 | 1.4912 | 1.4057 |
| .85 | 1.4914 | 1.6379 | 1.2749 | 1.1477 | 1.4515 | 1.3707 |
| .90 | 1.4560 | 1.5950 | 1.2470 | 1.1262 | 1.4154 | 1.3394 |
| .95 | 1.4228 | 1.5561 | 1.2216 | 1.1069 | 1.3829 | 1.3110 |
| 1.00 | 1.3919 | 1.5212 | 1.1984 | 1.0894 | 1.3538 | 1.2850 |
| 1.10 | 1.3377 | 1.4604 | 1.1586 | 1.0597 | 1.3038 | 1.2397 |
| 1.20 | 1.2926 | 1.4082 | 1.1256 | 1.0350 | 1.2620 | 1.2018 |
| 1.30 | 1.2545 | 1.3623 | 1.0979 | 1.0143 | 1.2264 | 1.1698 |
| 1.40 | 1.2212 | 1.3230 | 1.0742 | .9966 | 1.1963 | 1.1423 |
| 1.50 | 1.1915 | 1.2892 | 1.0535 | .9812 | 1.1703 | 1.1184 |
| 1.60 | 1.1651 | 1.2598 | 1.0353 | .9676 | 1.1479 | 1.0975 |
| 1.70 | 1.1419 | 1.2337 | 1.0193 | .9556 | 1.1282 | 1.0791 |
| 1.80 | 1.1212 | 1.2102 | 1.0051 | .9449 | 1.1107 | 1.0626 |
| 1.90 | 1.1029 | 1.1892 | .9924 | .9353 | 1.0951 | 1.0480 |
| 2.00 | 1.0866 | 1.1704 | .9810 | .9265 | 1.0812 | 1.0349 |
| 2.20 | 1.0582 | 1.1378 | .9612 | .9112 | 1.0572 | 1.0123 |
| 2.40 | 1.0338 | 1.1110 | .9445 | .8981 | 1.0373 | .9933 |
| 2.60 | 1.0130 | 1.0884 | .9301 | .8867 | 1.0204 | .9772 |
| 2.80 | .9950 | 1.0691 | .9176 | .8768 | 1.0060 | .9633 |
| 3.00 | .9793 | 1.0523 | .9066 | .8678 | .9934 | .9512 |
| 3.20 | .9656 | 1.0376 | .8968 | .8598 | .9823 | .9405 |
| 3.40 | .9533 | 1.0245 | .8880 | .8525 | .9724 | .9309 |
| 3.60 | .9425 | 1.0129 | .8801 | .8459 | .9635 | .9223 |
| 3.80 | .9328 | 1.0025 | .8728 | .8397 | .9554 | .9145 |
| 4.00 | .9238 | .9930 | .8662 | .8341 | .9480 | .9074 |
| 4.50 | .9044 | .9728 | .8515 | .8215 | .9321 | .8919 |
| 5.00 | .8882 | .9564 | .8392 | .8106 | .9187 | .8790 |
| 5.50 | .8746 | .9425 | .8285 | .8012 | .9074 | .8679 |
| 6.00 | .8628 | .9306 | .8192 | .7928 | .8974 | .8583 |
| 6.50 | .8526 | .9203 | .8109 | .7853 | .8886 | .8497 |
| 7.00 | .8435 | .9111 | .8034 | .7785 | .8807 | .8421 |
| 7.50 | .8353 | .9029 | .7966 | .7722 | .8736 | .8351 |
| 8.00 | .8279 | .8954 | .7904 | .7665 | .8670 | .8288 |
| 8.50 | .8212 | .8886 | .7846 | .7611 | .8610 | .8229 |
| 9.00 | .8150 | .8824 | .7793 | .7562 | .8554 | .8175 |
| 9.50 | .8093 | .8766 | .7743 | .7515 | .8502 | .8125 |
| 10.00 | .8040 | .8712 | .7697 | .7471 | .8453 | .8078 |
| 11.00 | .7944 | .8615 | .7612 | .7391 | .8364 | .7992 |
| 12.00 | .7858 | .8529 | .7536 | .7319 | .8284 | .7915 |
| 13.00 | .7782 | .8452 | .7467 | .7254 | .8212 | .7845 |
| 14.00 | .7713 | .8381 | .7404 | .7194 | .8147 | .7781 |
| 15.00 | .7649 | .8317 | .7347 | .7139 | .8086 | .7723 |
| 16.00 | .7591 | .8258 | .7293 | .7088 | .8030 | .7669 |
| 17.00 | .7537 | .8203 | .7244 | .7041 | .7978 | .7619 |
| 18.00 | .7487 | .8152 | .7198 | .6996 | .7929 | .7572 |
| 19.00 | .7441 | .8104 | .7154 | .6954 | .7884 | .7528 |
| 20.00 | .7397 | .8059 | .7113 | .6915 | .7841 | .7487 |
| 22.00 | .7317 | .7977 | .7038 | .6843 | .7762 | .7410 |
| 24.00 | .7245 | .7902 | .6971 | .6778 | .7690 | .7342 |
| 26.00 | .7179 | .7835 | .6909 | .6718 | .7625 | .7279 |
| 28.00 | .7120 | .7773 | .6853 | .6664 | .7566 | .7222 |
| 30.00 | .7065 | .7716 | .6801 | .6613 | .7510 | .7169 |
| 32.00 | .7014 | .7663 | .6753 | .6567 | .7459 | .7120 |
| 34.00 | .6967 | .7614 | .6708 | .6523 | .7411 | .7074 |
| 36.00 | .6922 | .7568 | .6666 | .6482 | .7366 | .7031 |
| 38.00 | .6881 | .7524 | .6626 | .6444 | .7324 | .6990 |
| 40.00 | .6842 | .7483 | .6589 | .6408 | .7284 | .6952 |
| 45.00 | .6753 | .7390 | .6504 | .6325 | .7194 | .6865 |
| 50.00 | .6675 | .7308 | .6429 | .6252 | .7113 | .6788 |
| 55.00 | .6605 | .7234 | .6362 | .6187 | .7041 | .6719 |
| 60.00 | .6542 | .7167 | .6302 | .6128 | .6976 | .6656 |
| 65.00 | .6485 | .7106 | .6246 | .6075 | .6917 | .6599 |
| 70.00 | .6432 | .7050 | .6196 | .6025 | .6862 | .6547 |
| 75.00 | .6383 | .6999 | .6149 | .5980 | .6811 | .6498 |
| 80.00 | .6338 | .6950 | .6106 | .5938 | .6764 | .6453 |
| 85.00 | .6296 | .6905 | .6065 | .5898 | .6720 | .6411 |
| 90.00 | .6256 | .6863 | .6027 | .5861 | .6679 | .6371 |
| 95.00 | .6219 | .6823 | .5991 | .5826 | .6640 | .6334 |
| 100.00 | .6184 | .6786 | .5958 | .5794 | .6603 | .6299 |
| 125.00 | .6034 | .6625 | .5813 | .5653 | .6446 | .6149 |
| 150.00 | .5914 | .6496 | .5697 | .5540 | .6320 | .6028 |
| 175.00 | .5815 | .6388 | .5601 | .5447 | .6215 | .5928 |
| 200.00 | .5730 | .6296 | .5520 | .5367 | .6125 | .5842 |
Table 7a.
Collision integrals for the (21, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 3.2971 | 3.4469 | 2.9268 | 2.6796 | 3.1650 | 3.1075 |
| .15 | 2.8750 | 3.0208 | 2.5495 | 2.3298 | 2.7767 | 2.7057 |
| .20 | 2.6050 | 2.7542 | 2.3038 | 2.0954 | 2.5345 | 2.4439 |
| .25 | 2.4083 | 2.5659 | 2.1202 | 1.9161 | 2.3606 | 2.2484 |
| .30 | 2.2527 | 2.4186 | 1.9722 | 1.7712 | 2.2191 | 2.0945 |
| .35 | 2.1244 | 2.2947 | 1.8497 | 1.6532 | 2.0965 | 1.9692 |
| .40 | 2.0159 | 2.1906 | 1.7466 | 1.5561 | 1.9915 | 1.8621 |
| .45 | 1.9210 | 2.0954 | 1.6580 | 1.4753 | 1.8958 | 1.7728 |
| .50 | 1.8395 | 2.0127 | 1.5830 | 1.4083 | 1.8127 | 1.6939 |
| .55 | 1.7676 | 1.9345 | 1.5185 | 1.3525 | 1.7368 | 1.6278 |
| .60 | 1.7021 | 1.8672 | 1.4612 | 1.3043 | 1.6710 | 1.5675 |
| .65 | 1.6460 | 1.8060 | 1.4127 | 1.2639 | 1.6127 | 1.5151 |
| .70 | 1.5958 | 1.7476 | 1.3702 | 1.2292 | 1.5594 | 1.4693 |
| .75 | 1.5497 | 1.6959 | 1.3323 | 1.1989 | 1.5124 | 1.4283 |
| .80 | 1.5075 | 1.6501 | 1.2984 | 1.1723 | 1.4710 | 1.3912 |
| .85 | 1.4696 | 1.6081 | 1.2683 | 1.1489 | 1.4339 | 1.3580 |
| .90 | 1.4364 | 1.5686 | 1.2419 | 1.1283 | 1.3999 | 1.3280 |
| .95 | 1.4062 | 1.5322 | 1.2183 | 1.1102 | 1.3693 | 1.3013 |
| 1.00 | 1.3781 | 1.4987 | 1.1968 | 1.0938 | 1.3416 | 1.2771 |
| 1.10 | 1.3273 | 1.4412 | 1.1591 | 1.0654 | 1.2941 | 1.2343 |
| 1.20 | 1.2842 | 1.3921 | 1.1276 | 1.0420 | 1.2545 | 1.1983 |
| 1.30 | 1.2482 | 1.3496 | 1.1014 | 1.0223 | 1.2210 | 1.1680 |
| 1.40 | 1.2172 | 1.3124 | 1.0790 | 1.0055 | 1.1924 | 1.1421 |
| 1.50 | 1.1896 | 1.2799 | 1.0594 | .9910 | 1.1677 | 1.1195 |
| 1.60 | 1.1649 | 1.2520 | 1.0423 | .9782 | 1.1465 | 1.0997 |
| 1.70 | 1.1429 | 1.2274 | 1.0272 | .9669 | 1.1278 | 1.0824 |
| 1.80 | 1.1233 | 1.2054 | 1.0137 | .9568 | 1.1114 | 1.0670 |
| 1.90 | 1.1059 | 1.1857 | 1.0017 | .9477 | 1.0967 | 1.0532 |
| 2.00 | 1.0902 | 1.1679 | .9909 | .9395 | 1.0835 | 1.0408 |
| 2.20 | 1.0635 | 1.1371 | .9722 | .9252 | 1.0609 | 1.0195 |
| 2.40 | 1.0408 | 1.1116 | .9565 | .9129 | 1.0421 | 1.0017 |
| 2.60 | 1.0212 | 1.0904 | .9430 | .9023 | 1.0263 | .9866 |
| 2.80 | 1.0043 | 1.0721 | .9313 | .8930 | 1.0127 | .9735 |
| 3.00 | .9895 | 1.0563 | .9210 | .8847 | 1.0008 | .9621 |
| 3.20 | .9765 | 1.0425 | .9118 | .8772 | .9904 | .9521 |
| 3.40 | .9650 | 1.0302 | .9036 | .8704 | .9811 | .9431 |
| 3.60 | .9547 | 1.0193 | .8961 | .8642 | .9728 | .9350 |
| 3.80 | .9455 | 1.0094 | .8894 | .8585 | .9652 | .9277 |
| 4.00 | .9371 | 1.0006 | .8832 | .8533 | .9583 | .9210 |
| 4.50 | .9191 | .9816 | .8696 | .8416 | .9434 | .9066 |
| 5.00 | .9039 | .9662 | .8581 | .8316 | .9310 | .8946 |
| 5.50 | .8912 | .9532 | .8482 | .8229 | .9204 | .8843 |
| 6.00 | .8802 | .9422 | .8396 | .8152 | .9112 | .8754 |
| 6.50 | .8707 | .9325 | .8319 | .8083 | .9031 | .8675 |
| 7.00 | .8622 | .9240 | .8250 | .8020 | .8958 | .8604 |
| 7.50 | .8547 | .9163 | .8187 | .7963 | .8892 | .8540 |
| 8.00 | .8478 | .9094 | .8130 | .7910 | .8832 | .8482 |
| 8.50 | .8416 | .9032 | .8077 | .7861 | .8776 | .8428 |
| 9.00 | .8358 | .8974 | .8028 | .7815 | .8725 | .8378 |
| 9.50 | .8306 | .8921 | .7982 | .7773 | .8677 | .8332 |
| 10.00 | .8257 | .8871 | .7940 | .7733 | .8633 | .8289 |
| 11.00 | .8168 | .8782 | .7862 | .7660 | .8552 | .8210 |
| 12.00 | .8089 | .8703 | .7792 | .7594 | .8479 | .8140 |
| 13.00 | .8019 | .8632 | .7729 | .7534 | .8414 | .8077 |
| 14.00 | .7955 | .8568 | .7672 | .7480 | .8354 | .8019 |
| 15.00 | .7897 | .8510 | .7619 | .7429 | .8299 | .7966 |
| 16.00 | .7844 | .8456 | .7570 | .7383 | .8248 | .7916 |
| 17.00 | .7794 | .8406 | .7525 | .7339 | .8201 | .7871 |
| 18.00 | .7748 | .8359 | .7483 | .7299 | .8156 | .7828 |
| 19.00 | .7706 | .8315 | .7443 | .7261 | .8115 | .7788 |
| 20.00 | .7665 | .8275 | .7406 | .7225 | .8076 | .7750 |
| 22.00 | .7592 | .8199 | .7337 | .7158 | .8004 | .7681 |
| 24.00 | .7526 | .8132 | .7275 | .7099 | .7939 | .7618 |
| 26.00 | .7466 | .8070 | .7219 | .7044 | .7880 | .7561 |
| 28.00 | .7412 | .8014 | .7168 | .6994 | .7825 | .7508 |
| 30.00 | .7361 | .7962 | .7120 | .6948 | .7775 | .7460 |
| 32.00 | .7315 | .7914 | .7076 | .6906 | .7728 | .7415 |
| 34.00 | .7272 | .7869 | .7035 | .6866 | .7685 | .7373 |
| 36.00 | .7231 | .7827 | .6996 | .6828 | .7644 | .7334 |
| 38.00 | .7193 | .7788 | .6960 | .6793 | .7606 | .7297 |
| 40.00 | .7158 | .7751 | .6926 | .6760 | .7569 | .7262 |
| 45.00 | .7076 | .7666 | .6848 | .6684 | .7487 | .7182 |
| 50.00 | .7005 | .7591 | .6780 | .6617 | .7414 | .7112 |
| 55.00 | .6941 | .7524 | .6718 | .6558 | .7348 | .7049 |
| 60.00 | .6883 | .7463 | .6663 | .6503 | .7289 | .6992 |
| 65.00 | .6830 | .7407 | .6612 | .6454 | .7235 | .6940 |
| 70.00 | .6782 | .7357 | .6565 | .6409 | .7185 | .6892 |
| 75.00 | .6737 | .7309 | .6522 | .6367 | .7139 | .6847 |
| 80.00 | .6696 | .7266 | .6482 | .6328 | .7096 | .6806 |
| 85.00 | .6657 | .7225 | .6445 | .6291 | .7056 | .6768 |
| 90.00 | .6621 | .7186 | .6410 | .6257 | .7018 | .6731 |
| 95.00 | .6587 | .7150 | .6377 | .6225 | .6983 | .6697 |
| 100.00 | .6555 | .7116 | .6346 | .6195 | .6950 | .6665 |
| 125.00 | .6417 | .6969 | .6213 | .6065 | .6806 | .6527 |
| 150.00 | .6306 | .6851 | .6106 | .5961 | .6690 | .6416 |
| 175.00 | .6214 | .6753 | .6017 | .5874 | .6594 | .6324 |
| 200.00 | .6136 | .6669 | .5941 | .5800 | .6512 | .6245 |
Table 8a.
Collision integrals for the (24, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 3.1968 | 3.3499 | 2.8378 | 2.5987 | 3.0761 | 3.0123 |
| .15 | 2.7882 | 2.9360 | 2.4739 | 2.2628 | 2.6988 | 2.6249 |
| .20 | 2.5283 | 2.6773 | 2.2392 | 2.0412 | 2.4641 | 2.3744 |
| .25 | 2.3397 | 2.4933 | 2.0649 | 1.8725 | 2.2945 | 2.1903 |
| .30 | 2.1919 | 2.3510 | 1.9260 | 1.7374 | 2.1595 | 2.0449 |
| .35 | 2.0709 | 2.2344 | 1.8115 | 1.6272 | 2.0455 | 1.9255 |
| .40 | 1.9677 | 2.1348 | 1.7140 | 1.5356 | 1.9460 | 1.8250 |
| .45 | 1.8796 | 2.0440 | 1.6321 | 1.4603 | 1.8558 | 1.7415 |
| .50 | 1.8014 | 1.9664 | 1.5604 | 1.3965 | 1.7780 | 1.6666 |
| .55 | 1.7346 | 1.8944 | 1.5003 | 1.3438 | 1.7077 | 1.6036 |
| .60 | 1.6738 | 1.8288 | 1.4469 | 1.2985 | 1.6445 | 1.5476 |
| .65 | 1.6192 | 1.7717 | 1.4000 | 1.2596 | 1.5898 | 1.4977 |
| .70 | 1.5723 | 1.7181 | 1.3600 | 1.2266 | 1.5399 | 1.4536 |
| .75 | 1.5297 | 1.6683 | 1.3245 | 1.1979 | 1.4951 | 1.4153 |
| .80 | 1.4902 | 1.6245 | 1.2925 | 1.1727 | 1.4556 | 1.3803 |
| .85 | 1.4541 | 1.5847 | 1.2638 | 1.1503 | 1.4202 | 1.3485 |
| .90 | 1.4217 | 1.5480 | 1.2383 | 1.1305 | 1.3882 | 1.3200 |
| .95 | 1.3933 | 1.5140 | 1.2159 | 1.1131 | 1.3593 | 1.2945 |
| 1.00 | 1.3671 | 1.4824 | 1.1956 | 1.0975 | 1.3330 | 1.2714 |
| 1.10 | 1.3195 | 1.4266 | 1.1598 | 1.0704 | 1.2871 | 1.2307 |
| 1.20 | 1.2786 | 1.3803 | 1.1298 | 1.0480 | 1.2494 | 1.1964 |
| 1.30 | 1.2437 | 1.3401 | 1.1045 | 1.0292 | 1.2175 | 1.1674 |
| 1.40 | 1.2143 | 1.3049 | 1.0832 | 1.0132 | 1.1902 | 1.1427 |
| 1.50 | 1.1883 | 1.2736 | 1.0646 | .9993 | 1.1665 | 1.1211 |
| 1.60 | 1.1651 | 1.2468 | 1.0484 | .9871 | 1.1461 | 1.1023 |
| 1.70 | 1.1442 | 1.2232 | 1.0339 | .9764 | 1.1282 | 1.0857 |
| 1.80 | 1.1255 | 1.2023 | 1.0211 | .9668 | 1.1125 | 1.0709 |
| 1.90 | 1.1088 | 1.1835 | 1.0096 | .9581 | 1.0984 | 1.0578 |
| 2.00 | 1.0937 | 1.1664 | .9992 | .9503 | 1.0858 | 1.0459 |
| 2.20 | 1.0681 | 1.1372 | .9814 | .9366 | 1.0642 | 1.0256 |
| 2.40 | 1.0468 | 1.1127 | .9665 | .9251 | 1.0462 | 1.0086 |
| 2.60 | 1.0282 | 1.0923 | .9537 | .9150 | 1.0311 | .9942 |
| 2.80 | 1.0121 | 1.0749 | .9426 | .9062 | 1.0182 | .9819 |
| 3.00 | .9980 | 1.0598 | .9328 | .8984 | 1.0069 | .9710 |
| 3.20 | .9857 | 1.0466 | .9241 | .8914 | .9969 | .9615 |
| 3.40 | .9747 | 1.0350 | .9164 | .8850 | .9882 | .9530 |
| 3.60 | .9649 | 1.0246 | .9094 | .8792 | .9802 | .9454 |
| 3.80 | .9561 | 1.0152 | .9029 | .8739 | .9731 | .9384 |
| 4.00 | .9481 | 1.0067 | .8971 | .8690 | .9665 | .9321 |
| 4.50 | .9311 | .9888 | .8843 | .8581 | .9525 | .9186 |
| 5.00 | .9169 | .9741 | .8736 | .8488 | .9408 | .9072 |
| 5.50 | .9049 | .9619 | .8643 | .8407 | .9309 | .8976 |
| 6.00 | .8945 | .9514 | .8563 | .8335 | .9223 | .8892 |
| 6.50 | .8855 | .9423 | .8491 | .8271 | .9147 | .8819 |
| 7.00 | .8776 | .9343 | .8427 | .8213 | .9079 | .8753 |
| 7.50 | .8705 | .9272 | .8368 | .8159 | .9017 | .8693 |
| 8.00 | .8641 | .9207 | .8315 | .8111 | .8961 | .8639 |
| 8.50 | .8582 | .9149 | .8266 | .8065 | .8910 | .8589 |
| 9.00 | .8529 | .9095 | .8220 | .8023 | .8863 | .8543 |
| 9.50 | .8479 | .9045 | .8178 | .7984 | .8819 | .8500 |
| 10.00 | .8434 | .8999 | .8139 | .7947 | .8777 | .8460 |
| 11.00 | .8351 | .8916 | .8067 | .7879 | .8702 | .8388 |
| 12.00 | .8278 | .8843 | .8002 | .7819 | .8635 | .8323 |
| 13.00 | .8213 | .8777 | .7944 | .7764 | .8575 | .8264 |
| 14.00 | .8154 | .8718 | .7891 | .7713 | .8520 | .8211 |
| 15.00 | .8100 | .8664 | .7842 | .7667 | .8469 | .8162 |
| 16.00 | .8050 | .8614 | .7797 | .7624 | .8423 | .8117 |
| 17.00 | .8005 | .8568 | .7756 | .7584 | .8379 | .8075 |
| 18.00 | .7962 | .8525 | .7717 | .7547 | .8339 | .8035 |
| 19.00 | .7923 | .8485 | .7680 | .7512 | .8301 | .7999 |
| 20.00 | .7886 | .8447 | .7646 | .7479 | .8265 | .7964 |
| 22.00 | .7818 | .8378 | .7583 | .7418 | .8199 | .7900 |
| 24.00 | .7757 | .8316 | .7526 | .7363 | .8139 | .7842 |
| 26.00 | .7702 | .8260 | .7474 | .7313 | .8085 | .7790 |
| 28.00 | .7651 | .8209 | .7426 | .7267 | .8035 | .7742 |
| 30.00 | .7605 | .8161 | .7383 | .7224 | .7989 | .7698 |
| 32.00 | .7562 | .8117 | .7342 | .7185 | .7947 | .7656 |
| 34.00 | .7522 | .8076 | .7304 | .7148 | .7907 | .7618 |
| 36.00 | .7485 | .8037 | .7269 | .7114 | .7869 | .7582 |
| 38.00 | .7450 | .8001 | .7235 | .7081 | .7834 | .7548 |
| 40.00 | .7417 | .7967 | .7204 | .7051 | .7801 | .7516 |
| 45.00 | .7342 | .7889 | .7132 | .6981 | .7725 | .7442 |
| 50.00 | .7276 | .7821 | .7069 | .6919 | .7658 | .7378 |
| 55.00 | .7217 | .7759 | .7012 | .6864 | .7598 | .7320 |
| 60.00 | .7164 | .7703 | .6961 | .6814 | .7544 | .7267 |
| 65.00 | .7115 | .7653 | .6914 | .6768 | .7494 | .7219 |
| 70.00 | .7071 | .7606 | .6871 | .6727 | .7449 | .7175 |
| 75.00 | .7030 | .7563 | .6831 | .6688 | .7406 | .7135 |
| 80.00 | .6991 | .7523 | .6794 | .6652 | .7367 | .7097 |
| 85.00 | .6956 | .7485 | .6760 | .6618 | .7330 | .7061 |
| 90.00 | .6922 | .7450 | .6728 | .6586 | .7296 | .7028 |
| 95.00 | .6891 | .7417 | .6697 | .6557 | .7263 | .6997 |
| 100.00 | .6861 | .7385 | .6668 | .6529 | .7233 | .6967 |
| 125.00 | .6734 | .7250 | .6545 | .6408 | .7101 | .6840 |
| 150.00 | .6631 | .7142 | .6446 | .6311 | .6994 | .6737 |
| 175.00 | .6546 | .7052 | .6363 | .6230 | .6906 | .6652 |
| 200.00 | .6473 | .6974 | .6293 | .6161 | .6830 | .6579 |
Table 9a.
Collision integrals for the (30, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 3.0631 | 3.2201 | 2.7198 | 2.4914 | 2.9574 | 2.8871 |
| .15 | 2.6728 | 2.8226 | 2.3733 | 2.1732 | 2.5946 | 2.5180 |
| .20 | 2.4258 | 2.5735 | 2.1520 | 1.9666 | 2.3682 | 2.2819 |
| .25 | 2.2482 | 2.3977 | 1.9904 | 1.8127 | 2.2075 | 2.1097 |
| .30 | 2.1101 | 2.2624 | 1.8627 | 1.6901 | 2.0808 | 1.9750 |
| .35 | 1.9973 | 2.1518 | 1.7574 | 1.5895 | 1.9744 | 1.8650 |
| .40 | 1.9023 | 2.0567 | 1.6690 | 1.5066 | 1.8813 | 1.7740 |
| .45 | 1.8215 | 1.9756 | 1.5943 | 1.4379 | 1.8012 | 1.6956 |
| .50 | 1.7502 | 1.9010 | 1.5295 | 1.3799 | 1.7280 | 1.6286 |
| .55 | 1.6879 | 1.8368 | 1.4736 | 1.3310 | 1.6650 | 1.5695 |
| .60 | 1.6335 | 1.7763 | 1.4256 | 1.2897 | 1.6072 | 1.5185 |
| .65 | 1.5839 | 1.7226 | 1.3829 | 1.2540 | 1.5562 | 1.4731 |
| .70 | 1.5391 | 1.6742 | 1.3450 | 1.2228 | 1.5108 | 1.4318 |
| .75 | 1.5006 | 1.6299 | 1.3128 | 1.1964 | 1.4703 | 1.3962 |
| .80 | 1.4653 | 1.5885 | 1.2838 | 1.1731 | 1.4333 | 1.3643 |
| .85 | 1.4325 | 1.5511 | 1.2575 | 1.1524 | 1.4002 | 1.3351 |
| .90 | 1.4024 | 1.5175 | 1.2337 | 1.1340 | 1.3706 | 1.3084 |
| .95 | 1.3752 | 1.4867 | 1.2125 | 1.1176 | 1.3439 | 1.2845 |
| 1.00 | 1.3510 | 1.4579 | 1.1936 | 1.1029 | 1.3195 | 1.2630 |
| 1.10 | 1.3082 | 1.4060 | 1.1609 | 1.0779 | 1.2767 | 1.2253 |
| 1.20 | 1.2707 | 1.3624 | 1.1331 | 1.0570 | 1.2412 | 1.1933 |
| 1.30 | 1.2383 | 1.3253 | 1.1096 | 1.0394 | 1.2113 | 1.1662 |
| 1.40 | 1.2103 | 1.2928 | 1.0895 | 1.0245 | 1.1858 | 1.1429 |
| 1.50 | 1.1864 | 1.2638 | 1.0722 | 1.0116 | 1.1636 | 1.1227 |
| 1.60 | 1.1653 | 1.2385 | 1.0572 | 1.0003 | 1.1444 | 1.1052 |
| 1.70 | 1.1462 | 1.2163 | 1.0439 | .9904 | 1.1276 | 1.0897 |
| 1.80 | 1.1290 | 1.1968 | 1.0320 | .9815 | 1.1129 | 1.0760 |
| 1.90 | 1.1135 | 1.1793 | 1.0213 | .9736 | 1.0998 | 1.0638 |
| 2.00 | 1.0994 | 1.1634 | 1.0117 | .9664 | 1.0881 | 1.0528 |
| 2.20 | 1.0753 | 1.1361 | .9952 | .9539 | 1.0680 | 1.0340 |
| 2.40 | 1.0555 | 1.1135 | .9814 | .9433 | 1.0515 | 1.0184 |
| 2.60 | 1.0386 | 1.0943 | .9697 | .9342 | 1.0375 | 1.0051 |
| 2.80 | 1.0238 | 1.0781 | .9595 | .9263 | 1.0256 | .9938 |
| 3.00 | 1.0108 | 1.0642 | .9506 | .9193 | 1.0153 | .9839 |
| 3.20 | .9994 | 1.0520 | .9427 | .9130 | 1.0062 | .9752 |
| 3.40 | .9893 | 1.0413 | .9357 | .9073 | .9982 | .9675 |
| 3.60 | .9803 | 1.0317 | .9293 | .9021 | .9910 | .9606 |
| 3.80 | .9722 | 1.0232 | .9235 | .8973 | .9845 | .9544 |
| 4.00 | .9648 | 1.0154 | .9182 | .8929 | .9786 | .9487 |
| 4.50 | .9493 | .9990 | .9068 | .8832 | .9659 | .9365 |
| 5.00 | .9365 | .9857 | .8972 | .8750 | .9555 | .9264 |
| 5.50 | .9256 | .9746 | .8889 | .8679 | .9466 | .9177 |
| 6.00 | .9163 | .9651 | .8818 | .8616 | .9389 | .9103 |
| 6.50 | .9082 | .9570 | .8754 | .8559 | .9321 | .9038 |
| 7.00 | .9010 | .9498 | .8697 | .8508 | .9261 | .8979 |
| 7.50 | .8947 | .9434 | .8646 | .8462 | .9207 | .8927 |
| 8.00 | .8889 | .9376 | .8599 | .8419 | .9157 | .8879 |
| 8.50 | .8837 | .9324 | .8556 | .8380 | .9112 | .8835 |
| 9.00 | .8790 | .9277 | .8516 | .8343 | .9071 | .8795 |
| 9.50 | .8746 | .9233 | .8479 | .8309 | .9032 | .8757 |
| 10.00 | .8705 | .9192 | .8444 | .8277 | .8996 | .8722 |
| 11.00 | .8632 | .9119 | .8381 | .8218 | .8930 | .8659 |
| 12.00 | .8568 | .9054 | .8325 | .8165 | .8872 | .8602 |
| 13.00 | .8511 | .8997 | .8274 | .8117 | .8820 | .8551 |
| 14.00 | .8459 | .8945 | .8228 | .8074 | .8772 | .8505 |
| 15.00 | .8411 | .8898 | .8186 | .8034 | .8728 | .8462 |
| 16.00 | .8368 | .8854 | .8147 | .7997 | .8688 | .8423 |
| 17.00 | .8328 | .8814 | .8111 | .7962 | .8650 | .8387 |
| 18.00 | .8291 | .8777 | .8077 | .7930 | .8615 | .8353 |
| 19.00 | .8257 | .8742 | .8045 | .7900 | .8582 | .8321 |
| 20.00 | .8224 | .8710 | .8016 | .7871 | .8551 | .8291 |
| 22.00 | .8165 | .8650 | .7961 | .7818 | .8495 | .8236 |
| 24.00 | .8112 | .8596 | .7912 | .7771 | .8444 | .8186 |
| 26.00 | .8065 | .8548 | .7867 | .7728 | .8397 | .8141 |
| 28.00 | .8021 | .8503 | .7826 | .7688 | .8354 | .8100 |
| 30.00 | .7981 | .8462 | .7788 | .7651 | .8315 | .8062 |
| 32.00 | .7944 | .8425 | .7753 | .7617 | .8278 | .8026 |
| 34.00 | .7909 | .8389 | .7720 | .7586 | .8244 | .7993 |
| 36.00 | .7877 | .8356 | .7690 | .7556 | .8212 | .7962 |
| 38.00 | .7847 | .8325 | .7661 | .7528 | .8182 | .7933 |
| 40.00 | .7818 | .8296 | .7634 | .7501 | .8153 | .7905 |
| 45.00 | .7753 | .8229 | .7572 | .7441 | .8089 | .7842 |
| 50.00 | .7696 | .8170 | .7517 | .7388 | .8031 | .7787 |
| 55.00 | .7645 | .8118 | .7468 | .7340 | .7980 | .7737 |
| 60.00 | .7599 | .8070 | .7424 | .7297 | .7934 | .7692 |
| 65.00 | .7557 | .8027 | .7383 | .7257 | .7891 | .7651 |
| 70.00 | .7519 | .7987 | .7346 | .7221 | .7852 | .7613 |
| 75.00 | .7483 | .7950 | .7312 | .7187 | .7816 | .7578 |
| 80.00 | .7450 | .7915 | .7280 | .7156 | .7782 | .7545 |
| 85.00 | .7419 | .7883 | .7250 | .7127 | .7751 | .7515 |
| 90.00 | .7390 | .7853 | .7222 | .7099 | .7721 | .7486 |
| 95.00 | .7363 | .7825 | .7195 | .7073 | .7693 | .7459 |
| 100.00 | .7337 | .7798 | .7170 | .7049 | .7667 | .7433 |
| 125.00 | .7227 | .7682 | .7063 | .6944 | .7554 | .7323 |
| 150.00 | .7138 | .7589 | .6977 | .6859 | .7462 | .7235 |
| 175.00 | .7064 | .7512 | .6905 | .6789 | .7386 | .7161 |
| 200.00 | .7001 | .7445 | .6843 | .6728 | .7321 | .7097 |
Table 10a.
Collision integrals for the (40, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 2.9341 | 3.0924 | 2.6065 | 2.3889 | 2.8412 | 2.7668 |
| .15 | 2.5621 | 2.7121 | 2.2769 | 2.0873 | 2.4937 | 2.4158 |
| .20 | 2.3275 | 2.4734 | 2.0682 | 1.8944 | 2.2765 | 2.1931 |
| .25 | 2.1596 | 2.3042 | 1.9172 | 1.7526 | 2.1218 | 2.0321 |
| .30 | 2.0302 | 2.1749 | 1.7994 | 1.6412 | 2.0019 | 1.9071 |
| .35 | 1.9257 | 2.0699 | 1.7038 | 1.5511 | 1.9026 | 1.8062 |
| .40 | 1.8386 | 1.9821 | 1.6240 | 1.4767 | 1.8182 | 1.7220 |
| .45 | 1.7633 | 1.9054 | 1.5553 | 1.4139 | 1.7438 | 1.6501 |
| .50 | 1.6992 | 1.8376 | 1.4976 | 1.3620 | 1.6781 | 1.5888 |
| .55 | 1.6420 | 1.7771 | 1.4468 | 1.3176 | 1.6197 | 1.5354 |
| .60 | 1.5918 | 1.7231 | 1.4027 | 1.2797 | 1.5681 | 1.4878 |
| .65 | 1.5478 | 1.6736 | 1.3648 | 1.2476 | 1.5216 | 1.4471 |
| .70 | 1.5073 | 1.6286 | 1.3306 | 1.2193 | 1.4798 | 1.4098 |
| .75 | 1.4708 | 1.5887 | 1.3003 | 1.1947 | 1.4431 | 1.3766 |
| .80 | 1.4389 | 1.5518 | 1.2740 | 1.1735 | 1.4099 | 1.3474 |
| .85 | 1.4099 | 1.5174 | 1.2505 | 1.1547 | 1.3796 | 1.3211 |
| .90 | 1.3829 | 1.4857 | 1.2291 | 1.1379 | 1.3521 | 1.2970 |
| .95 | 1.3580 | 1.4578 | 1.2097 | 1.1229 | 1.3278 | 1.2752 |
| 1.00 | 1.3353 | 1.4319 | 1.1922 | 1.1095 | 1.3056 | 1.2553 |
| 1.10 | 1.2959 | 1.3850 | 1.1620 | 1.0864 | 1.2665 | 1.2206 |
| 1.20 | 1.2626 | 1.3447 | 1.1371 | 1.0675 | 1.2338 | 1.1916 |
| 1.30 | 1.2332 | 1.3104 | 1.1156 | 1.0514 | 1.2062 | 1.1667 |
| 1.40 | 1.2075 | 1.2808 | 1.0972 | 1.0377 | 1.1827 | 1.1452 |
| 1.50 | 1.1851 | 1.2544 | 1.0812 | 1.0259 | 1.1622 | 1.1266 |
| 1.60 | 1.1658 | 1.2313 | 1.0675 | 1.0156 | 1.1445 | 1.1104 |
| 1.70 | 1.1487 | 1.2107 | 1.0554 | 1.0066 | 1.1289 | 1.0962 |
| 1.80 | 1.1333 | 1.1925 | 1.0446 | .9986 | 1.1152 | 1.0836 |
| 1.90 | 1.1192 | 1.1763 | 1.0350 | .9914 | 1.1031 | 1.0723 |
| 2.00 | 1.1063 | 1.1617 | 1.0262 | .9849 | 1.0922 | 1.0621 |
| 2.20 | 1.0842 | 1.1366 | 1.0111 | .9736 | 1.0737 | 1.0448 |
| 2.40 | 1.0658 | 1.1157 | .9986 | .9642 | 1.0584 | 1.0305 |
| 2.60 | 1.0505 | 1.0981 | .9880 | .9561 | 1.0456 | 1.0184 |
| 2.80 | 1.0373 | 1.0831 | .9789 | .9490 | 1.0347 | 1.0081 |
| 3.00 | 1.0255 | 1.0702 | .9709 | .9428 | 1.0253 | .9991 |
| 3.20 | 1.0152 | 1.0590 | .9638 | .9373 | 1.0171 | .9913 |
| 3.40 | 1.0061 | 1.0492 | .9576 | .9323 | 1.0098 | .9843 |
| 3.60 | .9980 | 1.0405 | .9519 | .9278 | 1.0033 | .9782 |
| 3.80 | .9906 | 1.0327 | .9468 | .9236 | .9975 | .9726 |
| 4.00 | .9840 | 1.0256 | .9421 | .9198 | .9922 | .9675 |
| 4.50 | .9699 | 1.0108 | .9320 | .9115 | .9809 | .9567 |
| 5.00 | .9585 | .9987 | .9237 | .9044 | .9717 | .9477 |
| 5.50 | .9490 | .9889 | .9166 | .8983 | .9639 | .9402 |
| 6.00 | .9408 | .9805 | .9104 | .8930 | .9572 | .9338 |
| 6.50 | .9336 | .9732 | .9049 | .8882 | .9513 | .9281 |
| 7.00 | .9274 | .9669 | .9001 | .8839 | .9462 | .9231 |
| 7.50 | .9219 | .9614 | .8957 | .8800 | .9415 | .9187 |
| 8.00 | .9169 | .9563 | .8917 | .8765 | .9373 | .9146 |
| 8.50 | .9124 | .9518 | .8881 | .8732 | .9335 | .9108 |
| 9.00 | .9083 | .9477 | .8847 | .8701 | .9299 | .9074 |
| 9.50 | .9045 | .9439 | .8816 | .8673 | .9267 | .9043 |
| 10.00 | .9010 | .9404 | .8787 | .8646 | .9236 | .9013 |
| 11.00 | .8948 | .9342 | .8734 | .8597 | .9181 | .8960 |
| 12.00 | .8893 | .9287 | .8687 | .8554 | .9132 | .8913 |
| 13.00 | .8845 | .9238 | .8645 | .8515 | .9089 | .8870 |
| 14.00 | .8801 | .9195 | .8607 | .8479 | .9049 | .8832 |
| 15.00 | .8761 | .9155 | .8572 | .8446 | .9013 | .8797 |
| 16.00 | .8725 | .9119 | .8539 | .8415 | .8980 | .8764 |
| 17.00 | .8692 | .9086 | .8510 | .8387 | .8949 | .8735 |
| 18.00 | .8661 | .9055 | .8482 | .8361 | .8920 | .8707 |
| 19.00 | .8632 | .9026 | .8456 | .8336 | .8893 | .8681 |
| 20.00 | .8605 | .8999 | .8431 | .8312 | .8868 | .8656 |
| 22.00 | .8556 | .8950 | .8386 | .8269 | .8822 | .8611 |
| 24.00 | .8512 | .8905 | .8346 | .8231 | .8780 | .8570 |
| 26.00 | .8472 | .8866 | .8309 | .8195 | .8742 | .8533 |
| 28.00 | .8437 | .8829 | .8276 | .8163 | .8707 | .8500 |
| 30.00 | .8403 | .8796 | .8245 | .8133 | .8675 | .8468 |
| 32.00 | .8373 | .8765 | .8216 | .8105 | .8645 | .8439 |
| 34.00 | .8345 | .8736 | .8189 | .8079 | .8617 | .8412 |
| 36.00 | .8318 | .8709 | .8164 | .8055 | .8591 | .8387 |
| 38.00 | .8293 | .8684 | .8141 | .8032 | .8567 | .8363 |
| 40.00 | .8270 | .8660 | .8119 | .8011 | .8544 | .8341 |
| 45.00 | .8217 | .8606 | .8068 | .7961 | .8492 | .8290 |
| 50.00 | .8170 | .8558 | .8023 | .7918 | .8445 | .8245 |
| 55.00 | .8129 | .8515 | .7983 | .7879 | .8404 | .8205 |
| 60.00 | .8091 | .8477 | .7947 | .7844 | .8367 | .8168 |
| 65.00 | .8057 | .8442 | .7914 | .7811 | .8332 | .8135 |
| 70.00 | .8025 | .8409 | .7884 | .7782 | .8301 | .8104 |
| 75.00 | .7996 | .8380 | .7856 | .7754 | .8271 | .8075 |
| 80.00 | .7969 | .8352 | .7830 | .7729 | .8244 | .8049 |
| 85.00 | .7944 | .8326 | .7805 | .7705 | .8219 | .8024 |
| 90.00 | .7920 | .8301 | .7782 | .7682 | .8195 | .8001 |
| 95.00 | .7898 | .8278 | .7761 | .7661 | .8172 | .7979 |
| 100.00 | .7877 | .8257 | .7740 | .7641 | .8151 | .7958 |
| 125.00 | .7786 | .8163 | .7653 | .7555 | .8059 | .7868 |
| 150.00 | .7714 | .8088 | .7582 | .7485 | .7986 | .7797 |
| 175.00 | .7653 | .8025 | .7523 | .7427 | .7924 | .7736 |
| 200.00 | .7601 | .7971 | .7472 | .7377 | .7871 | .7685 |
Table 11a.
Collision integrals for the (50, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 2.8571 | 3.0144 | 2.5391 | 2.3282 | 2.7703 | 2.6945 |
| .15 | 2.4963 | 2.6452 | 2.2201 | 2.0367 | 2.4332 | 2.3553 |
| .20 | 2.2693 | 2.4133 | 2.0188 | 1.8516 | 2.2219 | 2.1408 |
| .25 | 2.1075 | 2.2490 | 1.8743 | 1.7173 | 2.0719 | 1.9864 |
| .30 | 1.9834 | 2.1234 | 1.7624 | 1.6124 | 1.9558 | 1.8671 |
| .35 | 1.8834 | 2.0221 | 1.6718 | 1.5277 | 1.8606 | 1.7707 |
| .40 | 1.8000 | 1.9372 | 1.5961 | 1.4576 | 1.7799 | 1.6904 |
| .45 | 1.7293 | 1.8633 | 1.5323 | 1.3995 | 1.7089 | 1.6231 |
| .50 | 1.6680 | 1.7991 | 1.4774 | 1.3503 | 1.6471 | 1.5641 |
| .55 | 1.6146 | 1.7414 | 1.4304 | 1.3091 | 1.5920 | 1.5143 |
| .60 | 1.5667 | 1.6901 | 1.3886 | 1.2733 | 1.5432 | 1.4691 |
| .65 | 1.5252 | 1.6437 | 1.3530 | 1.2432 | 1.4999 | 1.4304 |
| .70 | 1.4877 | 1.6009 | 1.3214 | 1.2169 | 1.4605 | 1.3959 |
| .75 | 1.4535 | 1.5628 | 1.2930 | 1.1939 | 1.4257 | 1.3648 |
| .80 | 1.4226 | 1.5285 | 1.2679 | 1.1737 | 1.3947 | 1.3370 |
| .85 | 1.3955 | 1.4964 | 1.2459 | 1.1561 | 1.3665 | 1.3122 |
| .90 | 1.3705 | 1.4665 | 1.2259 | 1.1404 | 1.3406 | 1.2897 |
| .95 | 1.3474 | 1.4396 | 1.2079 | 1.1264 | 1.3176 | 1.2694 |
| 1.00 | 1.3261 | 1.4153 | 1.1915 | 1.1139 | 1.2968 | 1.2508 |
| 1.10 | 1.2885 | 1.3718 | 1.1630 | 1.0922 | 1.2604 | 1.2183 |
| 1.20 | 1.2573 | 1.3340 | 1.1396 | 1.0745 | 1.2297 | 1.1911 |
| 1.30 | 1.2301 | 1.3014 | 1.1197 | 1.0596 | 1.2037 | 1.1679 |
| 1.40 | 1.2060 | 1.2736 | 1.1024 | 1.0468 | 1.1817 | 1.1479 |
| 1.50 | 1.1849 | 1.2490 | 1.0875 | 1.0357 | 1.1624 | 1.1303 |
| 1.60 | 1.1665 | 1.2274 | 1.0746 | 1.0262 | 1.1458 | 1.1151 |
| 1.70 | 1.1505 | 1.2080 | 1.0632 | 1.0177 | 1.1310 | 1.1017 |
| 1.80 | 1.1362 | 1.1909 | 1.0532 | 1.0103 | 1.1181 | 1.0899 |
| 1.90 | 1.1231 | 1.1755 | 1.0443 | 1.0036 | 1.1066 | 1.0793 |
| 2.00 | 1.1112 | 1.1617 | 1.0361 | .9976 | 1.0962 | 1.0696 |
| 2.20 | 1.0904 | 1.1380 | 1.0220 | .9871 | 1.0786 | 1.0532 |
| 2.40 | 1.0732 | 1.1184 | 1.0104 | .9783 | 1.0642 | 1.0397 |
| 2.60 | 1.0587 | 1.1016 | 1.0005 | .9708 | 1.0519 | 1.0281 |
| 2.80 | 1.0464 | 1.0874 | .9920 | .9643 | 1.0415 | 1.0183 |
| 3.00 | 1.0356 | 1.0753 | .9847 | .9586 | 1.0327 | 1.0100 |
| 3.20 | 1.0260 | 1.0646 | .9781 | .9536 | 1.0249 | 1.0025 |
| 3.40 | 1.0174 | 1.0552 | .9723 | .9490 | 1.0179 | .9959 |
| 3.60 | 1.0099 | 1.0470 | .9671 | .9449 | 1.0119 | .9901 |
| 3.80 | 1.0031 | 1.0398 | .9624 | .9412 | 1.0065 | .9850 |
| 4.00 | .9970 | 1.0331 | .9582 | .9377 | 1.0016 | .9803 |
| 4.50 | .9839 | 1.0190 | .9489 | .9302 | .9910 | .9701 |
| 5.00 | .9734 | 1.0079 | .9413 | .9239 | .9825 | .9620 |
| 5.50 | .9646 | .9984 | .9349 | .9185 | .9753 | .9551 |
| 6.00 | .9572 | .9908 | .9294 | .9138 | .9693 | .9493 |
| 6.50 | .9506 | .9841 | .9245 | .9096 | .9640 | .9442 |
| 7.00 | .9449 | .9782 | .9201 | .9058 | .9592 | .9397 |
| 7.50 | .9399 | .9732 | .9163 | .9024 | .9552 | .9357 |
| 8.00 | .9354 | .9687 | .9128 | .8993 | .9514 | .9321 |
| 8.50 | .9314 | .9645 | .9095 | .8964 | .9480 | .9288 |
| 9.00 | .9277 | .9608 | .9066 | .8938 | .9448 | .9258 |
| 9.50 | .9243 | .9574 | .9038 | .8913 | .9420 | .9230 |
| 10.00 | .9212 | .9544 | .9013 | .8890 | .9393 | .9204 |
| 11.00 | .9156 | .9487 | .8967 | .8848 | .9344 | .9157 |
| 12.00 | .9108 | .9439 | .8926 | .8811 | .9302 | .9116 |
| 13.00 | .9065 | .9396 | .8890 | .8777 | .9264 | .9079 |
| 14.00 | .9027 | .9357 | .8857 | .8746 | .9230 | .9046 |
| 15.00 | .8992 | .9323 | .8827 | .8718 | .9198 | .9016 |
| 16.00 | .8961 | .9291 | .8799 | .8692 | .9170 | .8988 |
| 17.00 | .8932 | .9262 | .8773 | .8668 | .9143 | .8963 |
| 18.00 | .8905 | .9235 | .8749 | .8645 | .9119 | .8939 |
| 19.00 | .8880 | .9210 | .8727 | .8624 | .9096 | .8917 |
| 20.00 | .8856 | .9187 | .8706 | .8604 | .9074 | .8896 |
| 22.00 | .8814 | .9145 | .8668 | .8568 | .9035 | .8857 |
| 24.00 | .8776 | .9107 | .8633 | .8535 | .9000 | .8823 |
| 26.00 | .8742 | .9073 | .8602 | .8505 | .8967 | .8791 |
| 28.00 | .8711 | .9042 | .8574 | .8478 | .8938 | .8763 |
| 30.00 | .8683 | .9013 | .8547 | .8452 | .8911 | .8736 |
| 32.00 | .8657 | .8987 | .8523 | .8429 | .8885 | .8712 |
| 34.00 | .8633 | .8963 | .8500 | .8407 | .8862 | .8689 |
| 36.00 | .8610 | .8940 | .8479 | .8386 | .8840 | .8668 |
| 38.00 | .8589 | .8918 | .8459 | .8367 | .8819 | .8648 |
| 40.00 | .8569 | .8898 | .8440 | .8349 | .8800 | .8629 |
| 45.00 | .8524 | .8852 | .8397 | .8307 | .8756 | .8586 |
| 50.00 | .8484 | .8812 | .8360 | .8270 | .8717 | .8548 |
| 55.00 | .8449 | .8776 | .8326 | .8237 | .8682 | .8514 |
| 60.00 | .8417 | .8744 | .8295 | .8208 | .8651 | .8483 |
| 65.00 | .8388 | .8714 | .8267 | .8180 | .8622 | .8455 |
| 70.00 | .8361 | .8687 | .8242 | .8155 | .8595 | .8429 |
| 75.00 | .8337 | .8662 | .8218 | .8132 | .8570 | .8404 |
| 80.00 | .8314 | .8638 | .8196 | .8110 | .8547 | .8382 |
| 85.00 | .8292 | .8616 | .8175 | .8090 | .8526 | .8361 |
| 90.00 | .8272 | .8596 | .8156 | .8071 | .8506 | .8341 |
| 95.00 | .8253 | .8576 | .8137 | .8053 | .8486 | .8322 |
| 100.00 | .8236 | .8558 | .8120 | .8036 | .8468 | .8305 |
| 125.00 | .8159 | .8479 | .8046 | .7963 | .8391 | .8228 |
| 150.00 | .8097 | .8415 | .7985 | .7904 | .8328 | .8167 |
| 175.00 | .8046 | .8362 | .7935 | .7854 | .8277 | .8117 |
| 200.00 | .8002 | .8317 | .7892 | .7812 | .8233 | .8074 |
Table 12a.
Collision integrals for the (75, 6) potential function
| T* | Ω(1, 1)* | Ω(2, 2)* | Ω(1, 2)* | Ω(1, 3)* | Ω(2, 3)* | Ω(3, 3)* |
|---|---|---|---|---|---|---|
| .10 | 2.7535 | 2.9095 | 2.4490 | 2.2473 | 2.6750 | 2.5985 |
| .15 | 2.4083 | 2.5547 | 2.1443 | 1.9695 | 2.3511 | 2.2740 |
| .20 | 2.1916 | 2.3320 | 1.9529 | 1.7946 | 2.1482 | 2.0700 |
| .25 | 2.0378 | 2.1743 | 1.8166 | 1.6691 | 2.0042 | 1.9242 |
| .30 | 1.9204 | 2.0538 | 1.7120 | 1.5725 | 1.8934 | 1.8121 |
| .35 | 1.8263 | 1.9572 | 1.6279 | 1.4948 | 1.8035 | 1.7221 |
| .40 | 1.7485 | 1.8762 | 1.5585 | 1.4314 | 1.7272 | 1.6477 |
| .45 | 1.6828 | 1.8068 | 1.5001 | 1.3786 | 1.6615 | 1.5847 |
| .50 | 1.6259 | 1.7463 | 1.4499 | 1.3340 | 1.6040 | 1.5308 |
| .55 | 1.5766 | 1.6928 | 1.4069 | 1.2965 | 1.5537 | 1.4843 |
| .60 | 1.5331 | 1.6444 | 1.3694 | 1.2644 | 1.5083 | 1.4434 |
| .65 | 1.4942 | 1.6021 | 1.3364 | 1.2367 | 1.4689 | 1.4074 |
| .70 | 1.4600 | 1.5626 | 1.3077 | 1.2128 | 1.4327 | 1.3753 |
| .75 | 1.4292 | 1.5270 | 1.2824 | 1.1921 | 1.4008 | 1.3473 |
| .80 | 1.4011 | 1.4952 | 1.2596 | 1.1739 | 1.3723 | 1.3220 |
| .85 | 1.3755 | 1.4659 | 1.2390 | 1.1576 | 1.3464 | 1.2988 |
| .90 | 1.3526 | 1.4391 | 1.2209 | 1.1434 | 1.3233 | 1.2784 |
| .95 | 1.3320 | 1.4142 | 1.2048 | 1.1309 | 1.3021 | 1.2600 |
| 1.00 | 1.3129 | 1.3915 | 1.1901 | 1.1196 | 1.2830 | 1.2433 |
| 1.10 | 1.2786 | 1.3515 | 1.1642 | 1.1000 | 1.2498 | 1.2135 |
| 1.20 | 1.2496 | 1.3175 | 1.1427 | 1.0840 | 1.2221 | 1.1889 |
| 1.30 | 1.2251 | 1.2878 | 1.1249 | 1.0706 | 1.1986 | 1.1680 |
| 1.40 | 1.2035 | 1.2618 | 1.1094 | 1.0592 | 1.1782 | 1.1498 |
| 1.50 | 1.1845 | 1.2397 | 1.0960 | 1.0494 | 1.1610 | 1.1342 |
| 1.60 | 1.1677 | 1.2202 | 1.0844 | 1.0409 | 1.1459 | 1.1204 |
| 1.70 | 1.1529 | 1.2027 | 1.0741 | 1.0334 | 1.1326 | 1.1083 |
| 1.80 | 1.1397 | 1.1868 | 1.0650 | 1.0267 | 1.1206 | 1.0973 |
| 1.90 | 1.1282 | 1.1728 | 1.0571 | 1.0208 | 1.1100 | 1.0877 |
| 2.00 | 1.1176 | 1.1603 | 1.0499 | 1.0154 | 1.1006 | 1.0791 |
| 2.20 | 1.0990 | 1.1386 | 1.0374 | 1.0062 | 1.0844 | 1.0639 |
| 2.40 | 1.0834 | 1.1206 | 1.0269 | .9984 | 1.0709 | 1.0513 |
| 2.60 | 1.0704 | 1.1055 | 1.0182 | .9918 | 1.0597 | 1.0409 |
| 2.80 | 1.0591 | 1.0923 | 1.0106 | .9861 | 1.0500 | 1.0317 |
| 3.00 | 1.0496 | 1.0809 | 1.0041 | .9811 | 1.0417 | 1.0239 |
| 3.20 | 1.0412 | 1.0714 | .9984 | .9768 | 1.0347 | 1.0174 |
| 3.40 | 1.0336 | 1.0627 | .9933 | .9728 | 1.0284 | 1.0114 |
| 3.60 | 1.0267 | 1.0549 | .9887 | .9693 | 1.0227 | 1.0060 |
| 3.80 | 1.0207 | 1.0482 | .9846 | .9661 | 1.0178 | 1.0014 |
| 4.00 | 1.0153 | 1.0423 | .9810 | .9633 | 1.0136 | .9974 |
| 4.50 | 1.0037 | 1.0295 | .9730 | .9571 | 1.0043 | .9886 |
| 5.00 | .9945 | 1.0195 | .9666 | .9519 | .9971 | .9817 |
| 5.50 | .9869 | 1.0114 | .9612 | .9476 | .9911 | .9760 |
| 6.00 | .9805 | 1.0046 | .9566 | .9438 | .9860 | .9711 |
| 6.50 | .9750 | .9989 | .9527 | .9405 | .9817 | .9670 |
| 7.00 | .9701 | .9940 | .9491 | .9375 | .9778 | .9634 |
| 7.50 | .9659 | .9896 | .9460 | .9349 | .9744 | .9601 |
| 8.00 | .9621 | .9858 | .9432 | .9324 | .9714 | .9572 |
| 8.50 | .9587 | .9824 | .9406 | .9302 | .9686 | .9546 |
| 9.00 | .9557 | .9793 | .9383 | .9282 | .9661 | .9521 |
| 9.50 | .9529 | .9765 | .9361 | .9263 | .9637 | .9499 |
| 10.00 | .9504 | .9739 | .9341 | .9245 | .9616 | .9478 |
| 11.00 | .9459 | .9694 | .9305 | .9213 | .9578 | .9442 |
| 12.00 | .9420 | .9654 | .9274 | .9184 | .9545 | .9410 |
| 13.00 | .9385 | .9621 | .9246 | .9159 | .9516 | .9382 |
| 14.00 | .9355 | .9590 | .9220 | .9136 | .9490 | .9357 |
| 15.00 | .9327 | .9562 | .9197 | .9115 | .9466 | .9334 |
| 16.00 | .9303 | .9538 | .9176 | .9096 | .9444 | .9313 |
| 17.00 | .9280 | .9516 | .9157 | .9078 | .9425 | .9294 |
| 18.00 | .9259 | .9495 | .9139 | .9061 | .9406 | .9276 |
| 19.00 | .9240 | .9476 | .9122 | .9045 | .9388 | .9259 |
| 20.00 | .9222 | .9459 | .9107 | .9031 | .9372 | .9244 |
| 22.00 | .9190 | .9426 | .9078 | .9004 | .9343 | .9215 |
| 24.00 | .9161 | .9397 | .9052 | .8979 | .9315 | .9188 |
| 26.00 | .9135 | .9371 | .9029 | .8957 | .9291 | .9165 |
| 28.00 | .9112 | .9348 | .9008 | .8937 | .9269 | .9143 |
| 30.00 | .9091 | .9327 | .8989 | .8918 | .9249 | .9124 |
| 32.00 | .9071 | .9307 | .8970 | .8901 | .9230 | .9105 |
| 34.00 | .9053 | .9288 | .8954 | .8885 | .9213 | .9088 |
| 36.00 | .9036 | .9271 | .8938 | .8870 | .9197 | .9073 |
| 38.00 | .9020 | .9256 | .8924 | .8856 | .9183 | .9059 |
| 40.00 | .9005 | .9241 | .8910 | .8843 | .9169 | .9045 |
| 45.00 | .8972 | .9207 | .8879 | .8813 | .9137 | .9015 |
| 50.00 | .8943 | .9178 | .8851 | .8787 | .9111 | .8989 |
| 55.00 | .8917 | .9153 | .8827 | .8763 | .9086 | .8965 |
| 60.00 | .8894 | .9130 | .8805 | .8742 | .9065 | .8944 |
| 65.00 | .8872 | .9109 | .8785 | .8722 | .9045 | .8925 |
| 70.00 | .8853 | .9090 | .8766 | .8705 | .9027 | .8907 |
| 75.00 | .8835 | .9073 | .8749 | .8688 | .9010 | .8891 |
| 80.00 | .8819 | .9057 | .8734 | .8673 | .8994 | .8876 |
| 85.00 | .8803 | .9042 | .8719 | .8658 | .8980 | .8861 |
| 90.00 | .8789 | .9028 | .8705 | .8645 | .8966 | .8848 |
| 95.00 | .8775 | .9014 | .8692 | .8631 | .8952 | .8834 |
| 100.00 | .8762 | .9001 | .8680 | .8619 | .8939 | .8822 |
| 125.00 | .8707 | .8945 | .8626 | .8566 | .8882 | .8766 |
| 150.00 | .8663 | .8900 | .8582 | .8523 | .8837 | .8721 |
| 175.00 | .8626 | .8862 | .8546 | .8487 | .8799 | .8684 |
| 200.00 | .8594 | .8827 | .8514 | .8455 | .8765 | .8650 |
Table 3b.
Ratios of collision integrals for the (9, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | .9976 | 1.2106 | .8794 | .9129 | .9206 |
| .15 | 1.0093 | 1.2430 | .8706 | .9154 | .9101 |
| .20 | 1.0303 | 1.2836 | .8571 | .9141 | .8978 |
| .25 | 1.0523 | 1.3132 | .8422 | .9062 | .8881 |
| .30 | 1.0714 | 1.3276 | .8289 | .8954 | .8830 |
| .35 | 1.0836 | 1.3324 | .8178 | .8848 | .8780 |
| .40 | 1.0985 | 1.3272 | .8098 | .8741 | .8774 |
| .45 | 1.1036 | 1.3200 | .8035 | .8663 | .8748 |
| .50 | 1.1088 | 1.3086 | .8001 | .8605 | .8762 |
| .55 | 1.1158 | 1.2958 | .7984 | .8550 | .8777 |
| .60 | 1.1159 | 1.2838 | .7970 | .8519 | .8770 |
| .65 | 1.1152 | 1.2718 | .7972 | .8507 | .8787 |
| .70 | 1.1161 | 1.2600 | .7987 | .8499 | .8810 |
| .75 | 1.1177 | 1.2486 | .8010 | .8497 | .8838 |
| .80 | 1.1189 | 1.2380 | .8035 | .8498 | .8864 |
| .85 | 1.1176 | 1.2281 | .8057 | .8508 | .8881 |
| .90 | 1.1148 | 1.2191 | .8080 | .8527 | .8893 |
| .95 | 1.1129 | 1.2109 | .8109 | .8549 | .8915 |
| 1.00 | 1.1120 | 1.2033 | .8142 | .8571 | .8943 |
| 1.10 | 1.1117 | 1.1899 | .8212 | .8616 | .9001 |
| 1.20 | 1.1110 | 1.1787 | .8282 | .8665 | .9055 |
| 1.30 | 1.1100 | 1.1690 | .8346 | .8713 | .9105 |
| 1.40 | 1.1076 | 1.1605 | .8400 | .8764 | .9143 |
| 1.50 | 1.1057 | 1.1533 | .8453 | .8814 | .9183 |
| 1.60 | 1.1047 | 1.1474 | .8507 | .8861 | .9225 |
| 1.70 | 1.1043 | 1.1425 | .8558 | .8905 | .9267 |
| 1.80 | 1.1042 | 1.1384 | .8607 | .8945 | .9308 |
| 1.90 | 1.1044 | 1.1348 | .8653 | .8982 | .9346 |
| 2.00 | 1.1047 | 1.1317 | .8696 | .9017 | .9383 |
| 2.20 | 1.1052 | 1.1266 | .8771 | .9080 | .9450 |
| 2.40 | 1.1055 | 1.1226 | .8834 | .9135 | .9505 |
| 2.60 | 1.1054 | 1.1193 | .8885 | .9183 | .9550 |
| 2.80 | 1.1057 | 1.1168 | .8930 | .9225 | .9591 |
| 3.00 | 1.1065 | 1.1150 | .8971 | .9260 | .9630 |
| 3.20 | 1.1074 | 1.1137 | .9008 | .9290 | .9665 |
| 3.40 | 1.1085 | 1.1127 | .9041 | .9316 | .9698 |
| 3.60 | 1.1095 | 1.1120 | .9070 | .9339 | .9727 |
| 3.80 | 1.1104 | 1.1114 | .9096 | .9359 | .9753 |
| 4.00 | 1.1114 | 1.1110 | .9119 | .9377 | .9776 |
| 4.50 | 1.1135 | 1.1103 | .9166 | .9413 | .9826 |
| 5.00 | 1.1155 | 1.1099 | .9201 | .9441 | .9865 |
| 5.50 | 1.1173 | 1.1097 | .9229 | .9462 | .9898 |
| 6.00 | 1.1189 | 1.1095 | .9251 | .9479 | .9925 |
| 6.50 | 1.1203 | 1.1094 | .9267 | .9494 | .9948 |
| 7.00 | 1.1216 | 1.1093 | .9282 | .9505 | .9968 |
| 7.50 | 1.1229 | 1.1094 | .9293 | .9515 | .9987 |
| 8.00 | 1.1242 | 1.1094 | .9304 | .9523 | 1.0003 |
| 8.50 | 1.1254 | 1.1095 | .9313 | .9529 | 1.0018 |
| 9.00 | 1.1266 | 1.1096 | .9320 | .9535 | 1.0033 |
| 9.50 | 1.1277 | 1.1098 | .9327 | .9540 | 1.0045 |
| 10.00 | 1.1287 | 1.1099 | .9332 | .9544 | 1.0057 |
| 11.00 | 1.1306 | 1.1102 | .9341 | .9550 | 1.0077 |
| 12.00 | 1.1324 | 1.1106 | .9348 | .9554 | 1.0094 |
| 13.00 | 1.1340 | 1.1110 | .9354 | .9557 | 1.0108 |
| 14.00 | 1,1354 | 1.1113 | .9358 | .9560 | 1.0121 |
| 15.00 | 1.1367 | 1.1117 | .9361 | .9561 | 1.0131 |
| 16.00 | 1.1379 | 1.1121 | .9363 | .9561 | 1.0141 |
| 17.00 | 1.1389 | 1.1124 | .9365 | .9562 | 1.0149 |
| 18.00 | 1.1399 | 1.1127 | .9366 | .9562 | 1.0156 |
| 19.00 | 1.1408 | 1.1130 | .9367 | .9562 | 1.0162 |
| 20.00 | 1.1417 | 1.1133 | .9368 | .9561 | 1.0168 |
| 22.00 | 1.1432 | 1.1139 | .9369 | .9560 | 1.0177 |
| 24.00 | 1.1445 | 1.1144 | .9369 | .9559 | 1.0185 |
| 26.00 | 1.1456 | 1.1149 | .9369 | .9557 | 1.0192 |
| 28.00 | 1.1466 | 1.1153 | .9368 | .9555 | 1.0197 |
| 30.00 | 1.1475 | 1.1157 | .9367 | .9554 | 1.0202 |
| 32.00 | 1.1484 | 1.1160 | .9367 | .9552 | 1.0206 |
| 34.00 | 1.1491 | 1.1164 | .9366 | .9550 | 1.0209 |
| 36.00 | 1.1498 | 1.1167 | .9365 | .9549 | 1.0212 |
| 38.00 | 1.1504 | 1.1169 | .9364 | .9547 | 1.0215 |
| 40.00 | 1.1510 | 1.1172 | .9363 | .9546 | 1.0218 |
| 45.00 | 1.1522 | 1.1178 | .9360 | .9543 | 1.0223 |
| 50.00 | 1.1533 | 1.1183 | .9358 | .9540 | 1.0227 |
| 55.00 | 1.1542 | 1.1187 | .9356 | .9537 | 1.0231 |
| 60.00 | 1.1550 | 1.1191 | .9354 | .9535 | 1.0234 |
| 65.00 | 1.1557 | 1.1194 | .9352 | .9533 | 1.0236 |
| 70.00 | 1.1563 | 1.1197 | .9350 | .9531 | 1.0238 |
| 75.00 | 1.1569 | 1.1200 | .9349 | .9529 | 1.0240 |
| 80.00 | 1.1574 | 1.1202 | .9347 | .9527 | 1.0242 |
| 85.00 | 1.1579 | 1.1205 | .9346 | .9526 | 1.0243 |
| 90.00 | 1.1583 | 1.1207 | .9344 | .9524 | 1.0244 |
| 95.00 | 1.1587 | 1.1209 | .9343 | .9523 | 1.0246 |
| 100.00 | 1.1591 | 1.1211 | .9342 | .9521 | 1.0247 |
| 125.00 | 1.1606 | 1.1219 | .9337 | .9516 | 1.0251 |
| 150.00 | 1.1617 | 1.1224 | .9332 | .9512 | 1.0254 |
| 175.00 | 1.1626 | 1.1229 | .9329 | .9509 | 1.0257 |
| 200.00 | 1.1633 | 1.1233 | .9326 | .9506 | 1.0258 |
Table 4b.
Ratios of collision integrals for the (12, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0227 | 1.1962 | .8856 | .9168 | .9350 |
| .15 | 1.0300 | 1.2153 | .8809 | .9180 | .9279 |
| .20 | 1.0433 | 1.2455 | .8725 | .9184 | .9189 |
| .25 | 1.0579 | 1.2727 | .8621 | .9144 | .9105 |
| .30 | 1.0735 | 1.2899 | .8516 | .9072 | .9046 |
| .35 | 1.0843 | 1.2976 | .8426 | .8990 | .9009 |
| .40 | 1.0930 | 1.2988 | .8352 | .8910 | .8973 |
| .45 | 1.0999 | 1.2938 | .8300 | .8841 | .8967 |
| .50 | 1.1067 | 1.2858 | .8263 | .8777 | .8959 |
| .55 | 1.1064 | 1.2773 | .8238 | .8740 | .8950 |
| .60 | 1.1091 | 1.2666 | .8230 | .8708 | .8963 |
| .65 | 1.1121 | 1.2555 | .8232 | .8681 | .8975 |
| .70 | 1.1117 | 1.2452 | .8236 | .8669 | .8981 |
| .75 | 1.1091 | 1.2355 | .8245 | .8671 | .8987 |
| .80 | 1.1081 | 1.2257 | .8263 | .8675 | .9006 |
| .85 | 1.1083 | 1.2166 | .8287 | .8680 | .9027 |
| .90 | 1.1085 | 1.2080 | .8314 | .8689 | .9050 |
| .95 | 1.1082 | 1.1999 | .8341 | .8701 | .9071 |
| 1.00 | 1.1069 | 1.1923 | .8366 | .8718 | .9090 |
| 1.10 | 1.1023 | 1.1792 | .8414 | .8762 | .9118 |
| 1.20 | 1.1002 | 1.1680 | .8471 | .8805 | .9161 |
| 1.30 | 1.0994 | 1.1585 | .8530 | .8848 | .9206 |
| 1.40 | 1.0986 | 1.1502 | .8587 | .8890 | .9250 |
| 1.50 | 1.0975 | 1.1432 | .8639 | .8932 | .9289 |
| 1.60 | 1.0962 | 1.1370 | .8685 | .8973 | .9324 |
| 1.70 | 1.0944 | 1.1316 | .8726 | .9014 | .9353 |
| 1.80 | 1.0931 | 1.1269 | .8766 | .9052 | .9384 |
| 1.90 | 1.0926 | 1.1230 | .8806 | .9088 | .9416 |
| 2.00 | 1.0923 | 1.1197 | .8843 | .9120 | .9447 |
| 2.20 | 1.0923 | 1.1143 | .8912 | .9177 | .9504 |
| 2.40 | 1.0926 | 1.1101 | .8972 | .9227 | .9556 |
| 2.60 | 1.0929 | 1.1067 | .9023 | .9271 | .9602 |
| 2.80 | 1.0933 | 1.1040 | .9067 | .9310 | .9643 |
| 3.00 | 1.0934 | 1.1017 | .9103 | .9343 | .9676 |
| 3.20 | 1.0935 | 1.0999 | .9134 | .9373 | .9705 |
| 3.40 | 1.0939 | 1.0984 | .9163 | .9398 | .9733 |
| 3.60 | 1.0945 | 1.0973 | .9189 | .9421 | .9759 |
| 3.80 | 1.0953 | 1.0964 | .9213 | .9440 | .9784 |
| 4.00 | 1.0961 | 1.0957 | .9235 | .9458 | .9806 |
| 4.50 | 1.0979 | 1.0944 | .9280 | .9493 | .9855 |
| 5.00 | 1.0996 | 1.0936 | .9314 | .9520 | .9893 |
| 5.50 | 1.1012 | 1.0930 | .9341 | .9541 | .9925 |
| 6.00 | 1.1026 | 1.0927 | .9362 | .9558 | .9952 |
| 6.50 | 1.1039 | 1.0925 | .9379 | .9571 | .9974 |
| 7.00 | 1.1050 | 1.0923 | .9393 | .9581 | .9993 |
| 7.50 | 1.1061 | 1.0922 | .9405 | .9590 | 1.0009 |
| 8.00 | 1.1071 | 1.0922 | .9414 | .9597 | 1.0023 |
| 8.50 | 1.1080 | 1.0922 | .9422 | .9602 | 1.0035 |
| 9.00 | 1.1088 | 1.0923 | .9429 | .9607 | 1.0046 |
| 9.50 | 1.1097 | 1.0923 | .9436 | .9611 | 1.0056 |
| 10.00 | 1.1105 | 1.0924 | .9441 | .9614 | 1.0065 |
| 11.00 | 1.1119 | 1.0926 | .9450 | .9620 | 1.0081 |
| 12.00 | 1.1131 | 1.0928 | .9457 | .9624 | 1.0094 |
| 13.00 | 1.1142 | 1.0930 | .9462 | .9626 | 1.0104 |
| 14.00 | 1.1152 | 1.0932 | .9466 | .9628 | 1.0114 |
| 15.00 | 1.1161 | 1.0934 | .9469 | .9630 | 1.0122 |
| 16.00 | 1.1169 | 1.0935 | .9472 | .9631 | 1.0129 |
| 17.00 | 1.1176 | 1.0937 | .9474 | .9632 | 1.0135 |
| 18.00 | 1.1183 | 1.0938 | .9476 | .9633 | 1.0141 |
| 19.00 | 1.1190 | 1.0939 | .9477 | .9633 | 1.0146 |
| 20.00 | 1.1195 | 1.0941 | .9479 | .9634 | 1.0151 |
| 22.00 | 1.1206 | 1.0943 | .9480 | .9634 | 1.0159 |
| 24.00 | 1.1215 | 1.0945 | .9482 | .9634 | 1.0166 |
| 26.00 | 1.1223 | 1.0947 | .9482 | .9634 | 1.0171 |
| 28.00 | 1.1231 | 1.0949 | .9483 | .9634 | 1.0176 |
| 30.00 | 1.1237 | 1.0951 | .9483 | .9633 | 1.0181 |
| 32.00 | 1.1244 | 1.0952 | .9483 | .9633 | 1.0185 |
| 34.00 | 1.1249 | 1.0954 | .9483 | .9632 | 1.0188 |
| 36.00 | 1.1254 | 1.0955 | .9483 | .9632 | 1.0191 |
| 38.00 | 1.1259 | 1.0957 | .9483 | .9631 | 1.0194 |
| 40.00 | 1.1263 | 1.0958 | .9483 | .9631 | 1.0197 |
| 45.00 | 1.1272 | 1.0961 | .9483 | .9629 | 1.0202 |
| 50.00 | 1.1281 | 1.0963 | .9482 | .9628 | 1.0206 |
| 55.00 | 1.1287 | 1.0966 | .9481 | .9626 | 1.0210 |
| 60.00 | 1.1293 | 1.0968 | .9480 | .9625 | 1.0213 |
| 65.00 | 1.1299 | 1.0970 | .9480 | .9624 | 1.0215 |
| 70.00 | 1.1303 | 1.0971 | .9479 | .9623 | 1.0217 |
| 75.00 | 1.1307 | 1.0973 | .9478 | .9622 | 1.0219 |
| 80.00 | 1.1311 | 1.0974 | .9478 | .9621 | 1.0221 |
| 85.00 | 1.1315 | 1.0975 | .9477 | .9620 | 1.0223 |
| 90.00 | 1.1318 | 1.0976 | .9476 | .9619 | 1.0224 |
| 95.00 | 1.1320 | 1.0977 | .9476 | .9618 | 1.0225 |
| 100.00 | 1.1323 | 1.0978 | .9475 | .9617 | 1.0226 |
| 125.00 | 1.1334 | 1.0982 | .9473 | .9614 | 1.0231 |
| 150.00 | 1.1341 | 1.0985 | .9471 | .9612 | 1.0234 |
| 175.00 | 1.1347 | 1.0988 | .9469 | .9610 | 1.0236 |
| 200.00 | 1.1352 | 1.0990 | .9468 | .9608 | 1.0238 |
Table 5b.
Ratios of collision integrals for the (15, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0348 | 1.1909 | .8872 | .9180 | .9407 |
| .15 | 1.0413 | 1.2026 | .8845 | .9191 | .9368 |
| .20 | 1.0505 | 1.2241 | .8793 | .9197 | .9304 |
| .25 | 1.0623 | 1.2468 | .8718 | .9176 | .9237 |
| .30 | 1.0731 | 1.2636 | .8639 | .9128 | .9181 |
| .35 | 1.0833 | 1.2730 | .8565 | .9065 | .9133 |
| .40 | 1.0918 | 1.2750 | .8504 | .8998 | .9112 |
| .45 | 1.0963 | 1.2734 | .8456 | .8940 | .9085 |
| .50 | 1.1003 | 1.2674 | .8424 | .8890 | .9083 |
| .55 | 1.1046 | 1.2595 | .8403 | .8844 | .9074 |
| .60 | 1.1037 | 1.2513 | .8390 | .8820 | .9071 |
| .65 | 1.1038 | 1.2420 | .8390 | .8801 | .9078 |
| .70 | 1.1057 | 1.2321 | .8398 | .8785 | .9091 |
| .75 | 1.1060 | 1.2227 | .8408 | .8777 | .9101 |
| .80 | 1.1038 | 1.2139 | .8421 | .8780 | .9106 |
| .85 | 1.1012 | 1.2056 | .8436 | .8790 | .9117 |
| .90 | 1.1003 | 1.1975 | .8459 | .8800 | .9135 |
| .95 | 1.1000 | 1.1899 | .8484 | .8810 | .9155 |
| 1.00 | 1.0994 | 1.1826 | .8510 | .8823 | .9173 |
| 1.10 | 1.0976 | 1.1697 | .8561 | .8855 | .9209 |
| 1.20 | 1.0938 | 1.1587 | .8607 | .8897 | .9238 |
| 1.30 | 1.0909 | 1.1493 | .8656 | .8940 | .9271 |
| 1.40 | 1.0898 | 1.1412 | .8707 | .8979 | .9309 |
| 1.50 | 1.0890 | 1.1343 | .8757 | .9016 | .9346 |
| 1.60 | 1.0881 | 1.1282 | .8803 | .9053 | .9381 |
| 1.70 | 1.0871 | 1.1229 | .8845 | .9089 | .9413 |
| 1.80 | 1.0858 | 1.1182 | .8882 | .9124 | .9440 |
| 1.90 | 1.0844 | 1.1141 | .8916 | .9158 | .9465 |
| 2.00 | 1.0833 | 1.1106 | .8948 | .9189 | .9489 |
| 2.20 | 1.0826 | 1.1048 | .9010 | .9244 | .9540 |
| 2.40 | 1.0824 | 1.1004 | .9066 | .9291 | .9586 |
| 2.60 | 1.0825 | 1.0970 | .9115 | .9332 | .9629 |
| 2.80 | 1.0827 | 1.0941 | .9157 | .9368 | .9666 |
| 3.00 | 1.0829 | 1.0918 | .9193 | .9399 | .9699 |
| 3.20 | 1.0831 | 1.0899 | .9224 | .9427 | .9728 |
| 3.40 | 1.0831 | 1.0882 | .9251 | .9452 | .9753 |
| 3.60 | 1.0833 | 1.0868 | .9274 | .9474 | .9775 |
| 3.80 | 1.0836 | 1.0857 | .9295 | .9493 | .9796 |
| 4.00 | 1.0840 | 1.0848 | .9315 | .9509 | .9816 |
| 4.50 | 1.0854 | 1.0832 | .9358 | .9544 | .9860 |
| 5.00 | 1.0867 | 1.0821 | .9391 | .9570 | .9896 |
| 5.50 | 1.0879 | 1.0814 | .9417 | .9590 | .9925 |
| 6.00 | 1.0890 | 1.0808 | .9438 | .9606 | .9949 |
| 6.50 | 1.0900 | 1.0805 | .9455 | .9619 | .9969 |
| 7.00 | 1.0909 | 1.0802 | .9469 | .9629 | .9987 |
| 7.50 | 1.0917 | 1.0800 | .9480 | .9638 | 1.0002 |
| 8.00 | 1.0925 | 1.0798 | .9490 | .9645 | 1.0014 |
| 8.50 | 1.0932 | 1.0796 | .9498 | .9651 | 1.0025 |
| 9.00 | 1.0938 | 1.0795 | .9505 | .9656 | 1.0035 |
| 9.50 | 1.0944 | 1.0795 | .9511 | .9660 | 1.0044 |
| 10.00 | 1.0950 | 1.0794 | .9516 | .9664 | 1.0052 |
| 11.00 | 1.0961 | 1.0794 | .9525 | .9670 | 1.0067 |
| 12.00 | 1.0971 | 1.0793 | .9533 | .9675 | 1.0079 |
| 13.00 | 1.0980 | 1.0793 | .9539 | .9678 | 1.0089 |
| 14.00 | 1.0988 | 1.0793 | .9543 | .9681 | 1.0098 |
| 15.00 | 1.0995 | 1.0794 | .9547 | .9684 | 1.0106 |
| 16.00 | 1.1002 | 1.0794 | .9550 | .9685 | 1.0113 |
| 17.00 | 1.1008 | 1.0794 | .9553 | .9687 | 1.0120 |
| 18.00 | 1.1014 | 1.0794 | .9555 | .9688 | 1.0125 |
| 19.00 | 1.1019 | 1.0795 | .9557 | .9689 | 1.0130 |
| 20.00 | 1.1024 | 1.0795 | .9559 | .9690 | 1.0135 |
| 22.00 | 1.1033 | 1.0796 | .9561 | .9691 | 1.0143 |
| 24.00 | 1.1040 | 1.0797 | .9563 | .9692 | 1.0149 |
| 26.00 | 1.1047 | 1.0798 | .9565 | .9692 | 1.0155 |
| 28.00 | 1.1053 | 1.0799 | .9566 | .9692 | 1.0160 |
| 30.00 | 1.1058 | 1.0799 | .9567 | .9692 | 1.0164 |
| 32.00 | 1.1063 | 1.0800 | .9567 | .9692 | 1.0168 |
| 34.00 | 1.1068 | 1.0801 | .9568 | .9692 | 1.0171 |
| 36.00 | 1.1072 | 1.0802 | .9568 | .9692 | 1.0174 |
| 38.00 | 1.1075 | 1.0803 | .9569 | .9691 | 1.0176 |
| 40.00 | 1.1079 | 1.0803 | .9569 | .9691 | 1.0178 |
| 45.00 | 1.1086 | 1.0805 | .9569 | .9690 | 1.0183 |
| 50.00 | 1.1092 | 1.0806 | .9569 | .9689 | 1.0187 |
| 55.00 | 1.1097 | 1.0807 | .9569 | .9689 | 1.0190 |
| 60.00 | 1.1102 | 1.0808 | .9569 | .9688 | 1.0193 |
| 65.00 | 1.1106 | 1.0809 | .9569 | .9687 | 1.0195 |
| 70.00 | 1.1109 | 1.0810 | .9569 | .9687 | 1.0197 |
| 75.00 | 1.1112 | 1.0811 | .9569 | .9686 | 1.0199 |
| 80.00 | 1.1115 | 1.0811 | .9568 | .9685 | 1.0201 |
| 85.00 | 1.1117 | 1.0812 | .9568 | .9685 | 1.0202 |
| 90.00 | 1.1120 | 1.0813 | .9568 | .9685 | 1.0203 |
| 95.00 | 1.1122 | 1.0813 | .9568 | .9684 | 1.0204 |
| 100.00 | 1.1124 | 1.0814 | .9567 | .9684 | 1.0205 |
| 125.00 | 1.1131 | 1.0815 | .9567 | .9682 | 1.0209 |
| 150.00 | 1.1137 | 1.0817 | .9566 | .9681 | 1.0212 |
| 175.00 | 1.1141 | 1.0818 | .9565 | .9679 | 1.0214 |
| 200.00 | 1.1144 | 1.0819 | .9565 | .9679 | 1.0216 |
Table 6b.
Ratios of collision integrals for the (18, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0412 | 1.1886 | .8875 | .9182 | .9421 |
| .15 | 1.0472 | 1.1960 | .8861 | .9194 | .9401 |
| .20 | 1.0553 | 1.2119 | .8826 | .9204 | .9355 |
| .25 | 1.0645 | 1.2305 | .8772 | .9193 | .9301 |
| .30 | 1.0743 | 1.2455 | .8710 | .9158 | .9250 |
| .35 | 1.0828 | 1.2544 | .8650 | .9108 | .9216 |
| .40 | 1.0877 | 1.2580 | .8600 | .9056 | .9192 |
| .45 | 1.0947 | 1.2564 | .8559 | .9001 | .9170 |
| .50 | 1.0958 | 1.2527 | .8530 | .8961 | .9156 |
| .55 | 1.0992 | 1.2457 | .8513 | .8923 | .9158 |
| .60 | 1.1014 | 1.2378 | .8504 | .8892 | .9152 |
| .65 | 1.0997 | 1.2300 | .8500 | .8878 | .9151 |
| .70 | 1.0992 | 1.2214 | .8506 | .8868 | .9160 |
| .75 | 1.0999 | 1.2123 | .8519 | .8860 | .9172 |
| .80 | 1.0999 | 1.2037 | .8533 | .8857 | .9183 |
| .85 | 1.0982 | 1.1958 | .8548 | .8862 | .9191 |
| .90 | 1.0955 | 1.1884 | .8565 | .8874 | .9200 |
| .95 | 1.0937 | 1.1812 | .8586 | .8887 | .9214 |
| 1.00 | 1.0929 | 1.1743 | .8610 | .8900 | .9232 |
| 1.10 | 1.0917 | 1.1618 | .8661 | .8928 | .9267 |
| 1.20 | 1.0894 | 1.1511 | .8708 | .8962 | .9298 |
| 1.30 | 1.0860 | 1.1417 | .8752 | .9003 | .9325 |
| 1.40 | 1.0833 | 1.1339 | .8796 | .9042 | .9354 |
| 1.50 | 1.0821 | 1.1270 | .8842 | .9078 | .9386 |
| 1.60 | 1.0812 | 1.1210 | .8886 | .9112 | .9419 |
| 1.70 | 1.0804 | 1.1158 | .8927 | .9145 | .9450 |
| 1.80 | 1.0794 | 1.1112 | .8965 | .9178 | .9478 |
| 1.90 | 1.0783 | 1.1071 | .8998 | .9208 | .9503 |
| 2.00 | 1.0771 | 1.1035 | .9029 | .9238 | .9525 |
| 2.20 | 1.0753 | 1.0975 | .9084 | .9291 | .9566 |
| 2.40 | 1.0746 | 1.0930 | .9136 | .9337 | .9608 |
| 2.60 | 1.0744 | 1.0894 | .9182 | .9376 | .9647 |
| 2.80 | 1.0744 | 1.0865 | .9222 | .9410 | .9681 |
| 3.00 | 1.0745 | 1.0841 | .9257 | .9440 | .9713 |
| 3.20 | 1.0746 | 1.0821 | .9288 | .9467 | .9740 |
| 3.40 | 1.0747 | 1.0804 | .9315 | .9491 | .9765 |
| 3.60 | 1.0747 | 1.0789 | .9337 | .9512 | .9786 |
| 3.80 | 1.0747 | 1.0776 | .9358 | .9530 | .9804 |
| 4.00 | 1.0749 | 1.0766 | .9376 | .9547 | .9822 |
| 4.50 | 1.0757 | 1.0746 | .9416 | .9581 | .9862 |
| 5.00 | 1.0767 | 1.0733 | .9448 | .9607 | .9896 |
| 5.50 | 1.0777 | 1.0724 | .9474 | .9627 | .9924 |
| 6.00 | 1.0786 | 1.0717 | .9494 | .9643 | .9947 |
| 6.50 | 1.0794 | 1.0712 | .9511 | .9656 | .9967 |
| 7.00 | 1.0801 | 1.0707 | .9525 | .9667 | .9983 |
| 7.50 | 1.0808 | 1.0704 | .9536 | .9675 | .9998 |
| 8.00 | 1.0815 | 1.0702 | .9546 | .9683 | 1.0010 |
| 8.50 | 1.0821 | 1.0699 | .9555 | .9689 | 1.0021 |
| 9.00 | 1.0826 | 1.0697 | .9562 | .9694 | 1.0031 |
| 9.50 | 1.0831 | 1.0696 | .9568 | .9699 | 1.0039 |
| 10.00 | 1.0836 | 1.0695 | .9573 | .9702 | 1.0047 |
| 11.00 | 1.0845 | 1.0693 | .9582 | .9709 | 1.0060 |
| 12.00 | 1.0853 | 1.0692 | .9590 | .9713 | 1.0072 |
| 13.00 | 1.0861 | 1.0691 | .9596 | .9717 | 1.0081 |
| 14.00 | 1.0867 | 1.0691 | .9600 | .9720 | 1.0089 |
| 15.00 | 1.0873 | 1.0690 | .9604 | .9722 | 1.0096 |
| 16.00 | 1.0878 | 1.0690 | .9608 | .9724 | 1.0103 |
| 17.00 | 1.0883 | 1.0690 | .9611 | .9726 | 1.0108 |
| 18.00 | 1.0888 | 1.0690 | .9613 | .9727 | 1.0113 |
| 19.00 | 1.0892 | 1.0690 | .9615 | .9728 | 1.0118 |
| 20.00 | 1.0896 | 1.0689 | .9617 | .9729 | 1.0121 |
| 22.00 | 1.0902 | 1.0689 | .9620 | .9731 | 1.0128 |
| 24.00 | 1.0908 | 1.0689 | .9622 | .9732 | 1.0134 |
| 26.00 | 1.0913 | 1.0689 | .9624 | .9732 | 1.0139 |
| 28.00 | 1.0918 | 1.0689 | .9625 | .9733 | 1.0144 |
| 30.00 | 1.0922 | 1.0689 | .9627 | .9733 | 1.0147 |
| 32.00 | 1.0926 | 1.0689 | .9628 | .9734 | 1.0151 |
| 34.00 | 1.0929 | 1.0690 | .9628 | .9734 | 1.0154 |
| 36.00 | 1.0932 | 1.0690 | .9629 | .9734 | 1.0156 |
| 38.00 | 1.0935 | 1.0690 | .9630 | .9734 | 1.0159 |
| 40.00 | 1.0938 | 1.0690 | .9630 | .9734 | 1.0161 |
| 45.00 | 1.0944 | 1.0691 | .9631 | .9734 | 1.0165 |
| 50.00 | 1.0948 | 1.0691 | .9632 | .9734 | 1.0169 |
| 55.00 | 1.0952 | 1.0691 | .9632 | .9733 | 1.0172 |
| 60.00 | 1.0956 | 1.0692 | .9633 | .9733 | 1.0174 |
| 65.00 | 1.0959 | 1.0692 | .9633 | .9733 | 1.0177 |
| 70.00 | 1.0962 | 1.0692 | .9633 | .9733 | 1.0178 |
| 75.00 | 1.0964 | 1.0693 | .9633 | .9732 | 1.0180 |
| 80.00 | 1.0966 | 1.0693 | .9633 | .9732 | 1.0181 |
| 85.00 | 1.0968 | 1.0693 | .9633 | .9732 | 1.0183 |
| 90.00 | 1.0970 | 1.0693 | .9633 | .9732 | 1.0184 |
| 95.00 | 1.0971 | 1.0694 | .9633 | .9731 | 1.0185 |
| 100.00 | 1.0973 | 1.0694 | .9633 | .9731 | 1.0186 |
| 125.00 | 1.0979 | 1.0695 | .9633 | .9730 | 1.0190 |
| 150.00 | 1.0983 | 1.0695 | .9633 | .9729 | 1.0192 |
| 175.00 | 1.0986 | 1.0696 | .9633 | .9729 | 1.0194 |
| 200.00 | 1.0988 | 1.0696 | .9633 | .9728 | 1.0195 |
Table 7b.
Ratios of collision integrals for the (21, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0454 | 1.1876 | .8877 | .9182 | .9425 |
| .15 | 1.0507 | 1.1925 | .8868 | .9192 | .9411 |
| .20 | 1.0573 | 1.2043 | .8844 | .9202 | .9381 |
| .25 | 1.0654 | 1.2194 | .8804 | .9200 | .9336 |
| .30 | 1.0737 | 1.2324 | .8755 | .9175 | .9298 |
| .35 | 1.0802 | 1.2407 | .8707 | .9136 | .9269 |
| .40 | 1.0866 | 1.2445 | .8664 | .9091 | .9237 |
| .45 | 1.0908 | 1.2436 | .8631 | .9047 | .9229 |
| .50 | 1.0942 | 1.2403 | .8606 | .9006 | .9209 |
| .55 | 1.0944 | 1.2348 | .8591 | .8978 | .9209 |
| .60 | 1.0970 | 1.2273 | .8585 | .8949 | .9209 |
| .65 | 1.0972 | 1.2198 | .8583 | .8930 | .9205 |
| .70 | 1.0951 | 1.2122 | .8586 | .8923 | .9207 |
| .75 | 1.0944 | 1.2041 | .8597 | .8918 | .9217 |
| .80 | 1.0946 | 1.1959 | .8613 | .8915 | .9228 |
| .85 | 1.0942 | 1.1880 | .8630 | .8917 | .9240 |
| .90 | 1.0920 | 1.1808 | .8646 | .8924 | .9245 |
| .95 | 1.0896 | 1.1741 | .8664 | .8937 | .9254 |
| 1.00 | 1.0875 | 1.1677 | .8685 | .8952 | .9267 |
| 1.10 | 1.0858 | 1.1555 | .8732 | .8979 | .9299 |
| 1.20 | 1.0840 | 1.1449 | .8781 | .9011 | .9331 |
| 1.30 | 1.0813 | 1.1357 | .8824 | .9047 | .9358 |
| 1.40 | 1.0782 | 1.1278 | .8864 | .9086 | .9383 |
| 1.50 | 1.0759 | 1.1209 | .8906 | .9124 | .9411 |
| 1.60 | 1.0748 | 1.1149 | .8948 | .9157 | .9441 |
| 1.70 | 1.0739 | 1.1097 | .8988 | .9189 | .9470 |
| 1.80 | 1.0731 | 1.1050 | .9024 | .9220 | .9498 |
| 1.90 | 1.0722 | 1.1010 | .9058 | .9249 | .9524 |
| 2.00 | 1.0713 | 1.0974 | .9089 | .9278 | .9547 |
| 2.20 | 1.0693 | 1.0913 | .9142 | .9330 | .9586 |
| 2.40 | 1.0680 | 1.0866 | .9190 | .9375 | .9624 |
| 2.60 | 1.0677 | 1.0829 | .9234 | .9413 | .9661 |
| 2.80 | 1.0675 | 1.0800 | .9273 | .9446 | .9693 |
| 3.00 | 1.0675 | 1.0776 | .9308 | .9475 | .9723 |
| 3.20 | 1.0675 | 1.0756 | .9338 | .9501 | .9749 |
| 3.40 | 1.0676 | 1.0739 | .9364 | .9523 | .9773 |
| 3.60 | 1.0677 | 1.0724 | .9387 | .9544 | .9794 |
| 3.80 | 1.0677 | 1.0711 | .9407 | .9562 | .9812 |
| 4.00 | 1.0677 | 1.0700 | .9424 | .9578 | .9828 |
| 4.50 | 1.0681 | 1.0679 | .9462 | .9611 | .9865 |
| 5.00 | 1.0688 | 1.0665 | .9493 | .9636 | .9896 |
| 5.50 | 1.0696 | 1.0655 | .9518 | .9656 | .9923 |
| 6.00 | 1.0703 | 1.0647 | .9538 | .9671 | .9945 |
| 6.50 | 1.0710 | 1.0640 | .9555 | .9684 | .9963 |
| 7.00 | 1.0716 | 1.0635 | .9568 | .9695 | .9979 |
| 7.50 | 1.0722 | 1.0631 | .9580 | .9704 | .9992 |
| 8.00 | 1.0727 | 1.0628 | .9589 | .9711 | 1.0004 |
| 8.50 | 1.0732 | 1.0625 | .9598 | .9717 | 1.0015 |
| 9.00 | 1.0737 | 1.0623 | .9605 | .9723 | 1.0024 |
| 9.50 | 1.0741 | 1.0621 | .9611 | .9727 | 1.0032 |
| 10.00 | 1.0745 | 1.0619 | .9616 | .9731 | 1.0039 |
| 11.00 | 1.0752 | 1.0616 | .9625 | .9738 | 1.0052 |
| 12.00 | 1.0759 | 1.0614 | .9633 | .9743 | 1.0063 |
| 13.00 | 1.0765 | 1.0612 | .9639 | .9747 | 1.0072 |
| 14.00 | 1.0771 | 1.0611 | .9644 | .9750 | 1.0080 |
| 15.00 | 1.0776 | 1.0610 | .9648 | .9752 | 1.0087 |
| 16.00 | 1.0780 | 1.0609 | .9652 | .9754 | 1.0093 |
| 17.00 | 1.0784 | 1.0609 | .9655 | .9756 | 1.0098 |
| 18.00 | 1.0788 | 1.0608 | .9657 | .9758 | 1.0103 |
| 19.00 | 1.0791 | 1.0608 | .9659 | .9759 | 1.0107 |
| 20.00 | 1.0795 | 1.0608 | .9661 | .9760 | 1.0110 |
| 22.00 | 1.0800 | 1.0607 | .9665 | .9761 | 1.0117 |
| 24.00 | 1.0805 | 1.0606 | .9667 | .9763 | 1.0122 |
| 26.00 | 1.0809 | 1.0606 | .9669 | .9764 | 1.0127 |
| 28.00 | 1.0813 | 1.0606 | .9671 | .9764 | 1.0130 |
| 30.00 | 1.0816 | 1.0606 | .9672 | .9765 | 1.0134 |
| 32.00 | 1.0819 | 1.0605 | .9673 | .9765 | 1.0137 |
| 34.00 | 1.0822 | 1.0605 | .9674 | .9766 | 1.0139 |
| 36.00 | 1.0824 | 1.0605 | .9675 | .9766 | 1.0142 |
| 38.00 | 1.0827 | 1.0605 | .9676 | .9766 | 1.0144 |
| 40.00 | 1.0829 | 1.0605 | .9676 | .9766 | 1.0146 |
| 45.00 | 1.0833 | 1.0604 | .9678 | .9767 | 1.0150 |
| 50.00 | 1.0837 | 1.0604 | .9679 | .9767 | 1.0153 |
| 55.00 | 1.0840 | 1.0604 | .9679 | .9767 | 1.0156 |
| 60.00 | 1.0843 | 1.0604 | .9680 | .9767 | 1.0158 |
| 65.00 | 1.0845 | 1.0604 | .9680 | .9767 | 1.0160 |
| 70.00 | 1.0847 | 1.0604 | .9681 | .9767 | 1.0162 |
| 75.00 | 1.0849 | 1.0604 | .9681 | .9767 | 1.0163 |
| 80.00 | 1.0851 | 1.0604 | .9681 | .9767 | 1.0165 |
| 85.00 | 1.0852 | 1.0604 | .9681 | .9767 | 1.0166 |
| 90.00 | 1.0854 | 1.0604 | .9682 | .9767 | 1.0167 |
| 95.00 | 1.0855 | 1.0604 | .9682 | .9766 | 1.0168 |
| 100.00 | 1.0856 | 1.0604 | .9682 | .9766 | 1.0169 |
| 125.00 | 1.0861 | 1.0604 | .9682 | .9766 | 1.0172 |
| 150.00 | 1.0864 | 1.0604 | .9683 | .9766 | 1.0175 |
| 175.00 | 1.0866 | 1.0604 | .9683 | .9765 | 1.0176 |
| 200.00 | 1.0868 | 1.0604 | .9683 | .9765 | 1.0178 |
Table 8b.
Ratios of collision integrals for the (24, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0479 | 1.1869 | .8877 | .9183 | .9423 |
| .15 | 1.0530 | 1.1901 | .8873 | .9192 | .9414 |
| .20 | 1.0589 | 1.1990 | .8857 | .9204 | .9391 |
| .25 | 1.0656 | 1.2115 | .8826 | .9203 | .9362 |
| .30 | 1.0726 | 1.2228 | .8787 | .9185 | .9329 |
| .35 | 1.0790 | 1.2306 | .8747 | .9154 | .9298 |
| .40 | 1.0849 | 1.2339 | .8711 | .9116 | .9275 |
| .45 | 1.0875 | 1.2337 | .8683 | .9079 | .9265 |
| .50 | 1.0916 | 1.2302 | .8662 | .9042 | .9252 |
| .55 | 1.0921 | 1.2256 | .8649 | .9014 | .9245 |
| .60 | 1.0926 | 1.2189 | .8644 | .8992 | .9246 |
| .65 | 1.0942 | 1.2112 | .8646 | .8973 | .9249 |
| .70 | 1.0927 | 1.2042 | .8649 | .8963 | .9245 |
| .75 | 1.0906 | 1.1968 | .8659 | .8962 | .9253 |
| .80 | 1.0901 | 1.1891 | .8674 | .8961 | .9263 |
| .85 | 1.0898 | 1.1814 | .8691 | .8962 | .9273 |
| .90 | 1.0888 | 1.1742 | .8710 | .8968 | .9284 |
| .95 | 1.0867 | 1.1677 | .8727 | .8978 | .9291 |
| 1.00 | 1.0843 | 1.1615 | .8746 | .8992 | .9300 |
| 1.10 | 1.0812 | 1.1499 | .8790 | .9023 | .9327 |
| 1.20 | 1.0795 | 1.1395 | .8836 | .9052 | .9358 |
| 1.30 | 1.0775 | 1.1305 | .8881 | .9085 | .9387 |
| 1.40 | 1.0746 | 1.1227 | .8920 | .9121 | .9410 |
| 1.50 | 1.0718 | 1.1158 | .8959 | .9159 | .9434 |
| 1.60 | 1.0701 | 1.1100 | .8998 | .9192 | .9461 |
| 1.70 | 1.0690 | 1.1048 | .9036 | .9223 | .9488 |
| 1.80 | 1.0682 | 1.1002 | .9072 | .9253 | .9515 |
| 1.90 | 1.0674 | 1.0962 | .9105 | .9281 | .9540 |
| 2.00 | 1.0665 | 1.0926 | .9136 | .9309 | .9563 |
| 2.20 | 1.0646 | 1.0866 | .9188 | .9358 | .9602 |
| 2.40 | 1.0630 | 1.0818 | .9233 | .9402 | .9636 |
| 2.60 | 1.0623 | 1.0780 | .9275 | .9440 | .9670 |
| 2.80 | 1.0621 | 1.0750 | .9313 | .9472 | .9701 |
| 3.00 | 1.0619 | 1.0725 | .9347 | .9501 | .9729 |
| 3.20 | 1.0618 | 1.0705 | .9376 | .9526 | .9754 |
| 3.40 | 1.0618 | 1.0688 | .9402 | .9548 | .9777 |
| 3.60 | 1.0618 | 1.0673 | .9424 | .9567 | .9797 |
| 3.80 | 1.0618 | 1.0659 | .9444 | .9585 | .9816 |
| 4.00 | 1.0618 | 1.0648 | .9462 | .9601 | .9831 |
| 4.50 | 1.0619 | 1.0626 | .9498 | .9633 | .9865 |
| 5.00 | 1.0624 | 1.0610 | .9528 | .9658 | .9895 |
| 5.50 | 1.0630 | 1.0599 | .9552 | .9678 | .9920 |
| 6.00 | 1.0636 | 1.0591 | .9572 | .9693 | .9941 |
| 6.50 | 1.0641 | 1.0584 | .9588 | .9706 | .9958 |
| 7.00 | 1.0646 | 1.0578 | .9602 | .9717 | .9973 |
| 7.50 | 1.0651 | 1.0573 | .9613 | .9726 | .9986 |
| 8.00 | 1.0655 | 1.0570 | .9623 | .9733 | .9998 |
| 8.50 | 1.0660 | 1.0566 | .9631 | .9739 | 1.0008 |
| 9.00 | 1.0664 | 1.0563 | .9639 | .9745 | 1.0017 |
| 9.50 | 1.0667 | 1.0561 | .9645 | .9749 | 1.0025 |
| 10.00 | 1.0671 | 1.0559 | .9650 | .9753 | 1.0032 |
| 11.00 | 1.0677 | 1.0555 | .9659 | .9760 | 1.0044 |
| 12.00 | 1.0682 | 1.0553 | .9667 | .9765 | 1.0054 |
| 13.00 | 1.0687 | 1.0551 | .9673 | .9769 | 1.0063 |
| 14.00 | 1.0692 | 1.0549 | .9678 | .9773 | 1.0070 |
| 15.00 | 1.0696 | 1.0548 | .9682 | .9775 | 1.0077 |
| 16.00 | 1.0700 | 1.0546 | .9686 | .9778 | 1.0082 |
| 17.00 | 1.0704 | 1.0545 | .9689 | .9780 | 1.0087 |
| 18.00 | 1.0707 | 1.0545 | .9692 | .9781 | 1.0092 |
| 19.00 | 1.0710 | 1.0544 | .9694 | .9782 | 1.0096 |
| 20.00 | 1.0713 | 1.0543 | .9696 | .9784 | 1.0099 |
| 22.00 | 1.0717 | 1.0542 | .9699 | .9786 | 1.0105 |
| 24.00 | 1.0722 | 1.0541 | .9702 | .9787 | 1.0111 |
| 26.00 | 1.0725 | 1.0541 | .9704 | .9788 | 1.0115 |
| 28.00 | 1.0728 | 1.0540 | .9706 | .9789 | 1.0118 |
| 30.00 | 1.0731 | 1.0539 | .9708 | .9790 | 1.0122 |
| 32.00 | 1.0734 | 1.0539 | .9709 | .9790 | 1.0124 |
| 34.00 | 1.0736 | 1.0539 | .9710 | .9791 | 1.0127 |
| 36.00 | 1.0738 | 1.0538 | .9711 | .9791 | 1.0129 |
| 38.00 | 1.0740 | 1.0538 | .9712 | .9791 | 1.0131 |
| 40.00 | 1.0741 | 1.0538 | .9712 | .9792 | 1.0133 |
| 45.00 | 1.0745 | 1.0537 | .9714 | .9792 | 1.0136 |
| 50.00 | 1.0748 | 1.0537 | .9715 | .9793 | 1.0140 |
| 55.00 | 1.0751 | 1.0536 | .9716 | .9793 | 1.0142 |
| 60.00 | 1.0753 | 1.0536 | .9716 | .9793 | 1.0144 |
| 65.00 | 1.0755 | 1.0536 | .9717 | .9793 | 1.0146 |
| 70.00 | 1.0757 | 1.0535 | .9717 | .9793 | 1.0148 |
| 75.00 | 1.0758 | 1.0535 | .9718 | .9793 | 1.0149 |
| 80.00 | 1.0760 | 1.0535 | .9718 | .9793 | 1.0150 |
| 85.00 | 1.0761 | 1.0535 | .9719 | .9793 | 1.0151 |
| 90.00 | 1.0762 | 1.0535 | .9719 | .9793 | 1.0153 |
| 95.00 | 1.0763 | 1.0535 | .9719 | .9793 | 1.0153 |
| 100.00 | 1.0764 | 1.0535 | .9719 | .9793 | 1.0154 |
| 125.00 | 1.0768 | 1.0534 | .9720 | .9793 | 1.0157 |
| 150.00 | 1.0770 | 1.0534 | .9720 | .9793 | 1.0160 |
| 175.00 | 1.0772 | 1.0534 | .9721 | .9793 | 1.0161 |
| 200.00 | 1.0774 | 1.0534 | .9721 | .9793 | 1.0163 |
Table 9b.
Ratios of collision integrals for the (30, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0513 | 1.1861 | .8879 | .9184 | .9426 |
| .15 | 1.0560 | 1.1874 | .8879 | .9192 | .9421 |
| .20 | 1.0609 | 1.1929 | .8871 | .9202 | .9407 |
| .25 | 1.0665 | 1.2014 | .8853 | .9207 | .9384 |
| .30 | 1.0721 | 1.2101 | .8827 | .9197 | .9360 |
| .35 | 1.0774 | 1.2162 | .8799 | .9175 | .9337 |
| .40 | 1.0811 | 1.2188 | .8773 | .9147 | .9325 |
| .45 | 1.0846 | 1.2188 | .8753 | .9117 | .9309 |
| .50 | 1.0861 | 1.2158 | .8739 | .9090 | .9305 |
| .55 | 1.0882 | 1.2111 | .8730 | .9065 | .9298 |
| .60 | 1.0874 | 1.2057 | .8727 | .9048 | .9296 |
| .65 | 1.0876 | 1.1989 | .8731 | .9034 | .9300 |
| .70 | 1.0878 | 1.1915 | .8739 | .9024 | .9303 |
| .75 | 1.0861 | 1.1849 | .8748 | .9021 | .9304 |
| .80 | 1.0841 | 1.1782 | .8761 | .9023 | .9311 |
| .85 | 1.0828 | 1.1712 | .8778 | .9027 | .9320 |
| .90 | 1.0821 | 1.1643 | .8797 | .9032 | .9330 |
| .95 | 1.0811 | 1.1578 | .8817 | .9040 | .9341 |
| 1.00 | 1.0792 | 1.1519 | .8835 | .9051 | .9349 |
| 1.10 | 1.0748 | 1.1411 | .8874 | .9080 | .9366 |
| 1.20 | 1.0722 | 1.1313 | .8917 | .9110 | .9391 |
| 1.30 | 1.0703 | 1.1226 | .8961 | .9140 | .9418 |
| 1.40 | 1.0681 | 1.1150 | .9002 | .9172 | .9443 |
| 1.50 | 1.0653 | 1.1082 | .9038 | .9207 | .9464 |
| 1.60 | 1.0629 | 1.1024 | .9072 | .9240 | .9485 |
| 1.70 | 1.0611 | 1.0973 | .9107 | .9271 | .9507 |
| 1.80 | 1.0600 | 1.0928 | .9141 | .9299 | .9531 |
| 1.90 | 1.0591 | 1.0888 | .9173 | .9326 | .9554 |
| 2.00 | 1.0582 | 1.0851 | .9203 | .9353 | .9577 |
| 2.20 | 1.0566 | 1.0791 | .9255 | .9401 | .9616 |
| 2.40 | 1.0549 | 1.0742 | .9298 | .9443 | .9648 |
| 2.60 | 1.0537 | 1.0703 | .9337 | .9481 | .9678 |
| 2.80 | 1.0531 | 1.0671 | .9372 | .9513 | .9707 |
| 3.00 | 1.0528 | 1.0646 | .9405 | .9541 | .9734 |
| 3.20 | 1.0526 | 1.0625 | .9433 | .9565 | .9758 |
| 3.40 | 1.0525 | 1.0607 | .9458 | .9586 | .9780 |
| 3.60 | 1.0525 | 1.0592 | .9480 | .9605 | .9799 |
| 3.80 | 1.0524 | 1.0578 | .9500 | .9622 | .9817 |
| 4.00 | 1.0524 | 1.0567 | .9517 | .9638 | .9833 |
| 4.50 | 1.0524 | 1.0543 | .9552 | .9669 | .9865 |
| 5.00 | 1.0525 | 1.0527 | .9580 | .9694 | .9892 |
| 5.50 | 1.0529 | 1.0515 | .9604 | .9713 | .9915 |
| 6.00 | 1.0533 | 1.0505 | .9623 | .9728 | .9935 |
| 6.50 | 1.0538 | 1.0498 | .9639 | .9740 | .9952 |
| 7.00 | 1.0541 | 1.0492 | .9653 | .9750 | .9966 |
| 7.50 | 1.0545 | 1.0487 | .9664 | .9759 | .9978 |
| 8.00 | 1.0548 | 1.0483 | .9673 | .9766 | .9988 |
| 8.50 | 1.0551 | 1.0479 | .9681 | .9773 | .9997 |
| 9.00 | 1.0554 | 1.0476 | .9688 | .9778 | 1.0006 |
| 9.50 | 1.0557 | 1.0473 | .9695 | .9783 | 1.0013 |
| 10.00 | 1.0559 | 1.0470 | .9700 | .9787 | 1.0019 |
| 11.00 | 1.0563 | 1.0466 | .9709 | .9793 | 1.0030 |
| 12.00 | 1.0568 | 1.0463 | .9716 | .9799 | 1.0040 |
| 13.00 | 1.0571 | 1.0460 | .9722 | .9803 | 1.0048 |
| 14.00 | 1.0575 | 1.0458 | .9728 | .9806 | 1.0055 |
| 15.00 | 1.0578 | 1.0456 | .9732 | .9809 | 1.0060 |
| 16.00 | 1.0581 | 1.0454 | .9736 | .9812 | 1.0066 |
| 17.00 | 1.0583 | 1.0453 | .9739 | .9814 | 1.0070 |
| 18.00 | 1.0586 | 1.0451 | .9742 | .9816 | 1.0074 |
| 19.00 | 1.0588 | 1.0450 | .9744 | .9817 | 1.0078 |
| 20.00 | 1.0590 | 1.0449 | .9746 | .9818 | 1.0081 |
| 22.00 | 1.0594 | 1.0448 | .9750 | .9821 | 1.0087 |
| 24.00 | 1.0597 | 1.0446 | .9753 | .9822 | 1.0091 |
| 26.00 | 1.0599 | 1.0445 | .9755 | .9824 | 1.0095 |
| 28.00 | 1.0602 | 1.0444 | .9757 | .9825 | 1.0098 |
| 30.00 | 1.0604 | 1.0443 | .9759 | .9826 | 1.0101 |
| 32.00 | 1.0605 | 1.0443 | .9760 | .9826 | 1.0104 |
| 34.00 | 1.0607 | 1.0442 | .9761 | .9827 | 1.0106 |
| 36.00 | 1.0608 | 1.0441 | .9762 | .9827 | 1.0108 |
| 38.00 | 1.0610 | 1.0441 | .9763 | .9828 | 1.0110 |
| 40.00 | 1.0611 | 1.0440 | .9764 | .9828 | 1.0111 |
| 45.00 | 1.0614 | 1.0439 | .9766 | .9829 | 1.0115 |
| 50.00 | 1.0616 | 1.0438 | .9767 | .9830 | 1.0117 |
| 55.00 | 1.0618 | 1.0438 | .9768 | .9830 | 1.0120 |
| 60.00 | 1.0619 | 1.0437 | .9769 | .9831 | 1.0122 |
| 65.00 | 1.0621 | 1.0437 | .9770 | .9831 | 1.0123 |
| 70.00 | 1.0622 | 1.0436 | .9770 | .9832 | 1.0125 |
| 75.00 | 1.0623 | 1.0436 | .9771 | .9832 | 1.0126 |
| 80.00 | 1.0624 | 1.0435 | .9771 | .9832 | 1.0128 |
| 85.00 | 1.0625 | 1.0435 | .9772 | .9832 | 1.0129 |
| 90.00 | 1.0626 | 1.0435 | .9772 | .9832 | 1.0130 |
| 95.00 | 1.0627 | 1.0435 | .9772 | .9832 | 1.0130 |
| 100.00 | 1.0628 | 1.0434 | .9773 | .9832 | 1.0131 |
| 125.00 | 1.0630 | 1.0434 | .9774 | .9833 | 1.0134 |
| 150.00 | 1.0632 | 1.0433 | .9774 | .9833 | 1.0136 |
| 175.00 | 1.0634 | 1.0433 | .9775 | .9833 | 1.0137 |
| 200.00 | 1.0635 | 1.0433 | .9775 | .9833 | 1.0138 |
Table 10b.
Ratios of collision integrals for the (40, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0540 | 1.1850 | .8883 | .9188 | .9430 |
| .15 | 1.0586 | 1.1849 | .8887 | .9195 | .9429 |
| .20 | 1.0627 | 1.1874 | .8886 | .9204 | .9423 |
| .25 | 1.0669 | 1.1926 | .8877 | .9209 | .9410 |
| .30 | 1.0712 | 1.1980 | .8863 | .9205 | .9393 |
| .35 | 1.0749 | 1.2020 | .8848 | .9192 | .9380 |
| .40 | 1.0780 | 1.2037 | .8833 | .9173 | .9366 |
| .45 | 1.0806 | 1.2027 | .8820 | .9152 | .9358 |
| .50 | 1.0814 | 1.2004 | .8813 | .9132 | .9350 |
| .55 | 1.0823 | 1.1958 | .8811 | .9115 | .9351 |
| .60 | 1.0825 | 1.1905 | .8812 | .9100 | .9346 |
| .65 | 1.0813 | 1.1847 | .8818 | .9092 | .9349 |
| .70 | 1.0804 | 1.1781 | .8828 | .9087 | .9353 |
| .75 | 1.0802 | 1.1712 | .8841 | .9084 | .9360 |
| .80 | 1.0784 | 1.1649 | .8854 | .9086 | .9364 |
| .85 | 1.0763 | 1.1587 | .8870 | .9092 | .9370 |
| .90 | 1.0744 | 1.1524 | .8888 | .9100 | .9379 |
| .95 | 1.0734 | 1.1463 | .8908 | .9108 | .9390 |
| 1.00 | 1.0723 | 1.1405 | .8928 | .9118 | .9401 |
| 1,10 | 1.0688 | 1.1301 | .8967 | .9144 | .9419 |
| 1.20 | 1.0650 | 1.1210 | .9006 | .9175 | .9437 |
| 1.30 | 1.0626 | 1.1128 | .9046 | .9205 | .9460 |
| 1.40 | 1.0607 | 1.1055 | .9086 | .9234 | .9484 |
| 1.50 | 1.0585 | 1.0991 | .9124 | .9265 | .9506 |
| 1.60 | 1.0562 | 1.0935 | .9157 | .9295 | .9525 |
| 1.70 | 1.0540 | 1.0886 | .9187 | .9324 | .9543 |
| 1.80 | 1.0522 | 1.0842 | .9218 | .9352 | .9562 |
| 1.90 | 1.0510 | 1.0804 | .9247 | .9378 | .9581 |
| 2.00 | 1.0500 | 1.0769 | .9276 | .9402 | .9601 |
| 2.20 | 1.0483 | 1.0709 | .9326 | .9447 | .9637 |
| 2.40 | 1.0468 | 1.0662 | .9369 | .9487 | .9668 |
| 2.60 | 1.0453 | 1.0622 | .9405 | .9522 | .9694 |
| 2.80 | 1.0442 | 1.0590 | .9437 | .9553 | .9718 |
| 3.00 | 1.0435 | 1.0563 | .9467 | .9580 | .9742 |
| 3.20 | 1.0431 | 1.0541 | .9494 | .9604 | .9764 |
| 3.40 | 1.0428 | 1.0523 | .9518 | .9624 | .9784 |
| 3.60 | 1.0426 | 1.0507 | .9539 | .9643 | .9802 |
| 3.80 | 1.0425 | 1.0494 | .9558 | .9659 | .9818 |
| 4.00 | 1.0423 | 1.0481 | .9575 | .9674 | .9832 |
| 4.50 | 1.0421 | 1.0458 | .9609 | .9705 | .9863 |
| 5.00 | 1.0419 | 1.0439 | .9636 | .9729 | .9887 |
| 5.50 | 1.0420 | 1.0426 | .9658 | .9748 | .9908 |
| 6.00 | 1.0422 | 1.0416 | .9677 | .9763 | .9926 |
| 6.50 | 1.0424 | 1.0407 | .9692 | .9775 | .9941 |
| 7.00 | 1.0426 | 1.0401 | .9705 | .9785 | .9954 |
| 7.50 | 1.0429 | 1.0395 | .9716 | .9794 | .9965 |
| 8.00 | 1.0431 | 1.0390 | .9725 | .9801 | .9975 |
| 8.50 | 1.0432 | 1.0386 | .9733 | .9807 | .9983 |
| 9.00 | 1.0434 | 1.0382 | .9741 | .9813 | .9991 |
| 9.50 | 1.0436 | 1.0379 | .9747 | .9817 | .9997 |
| 10.00 | 1.0437 | 1.0376 | .9752 | .9821 | 1.0003 |
| 11.00 | 1.0440 | 1.0371 | .9761 | .9828 | 1.0014 |
| 12.00 | 1.0443 | 1.0367 | .9768 | .9834 | 1.0022 |
| 13.00 | 1.0445 | 1.0364 | .9774 | .9838 | 1.0029 |
| 14.00 | 1.0447 | 1.0361 | .9779 | .9842 | 1.0035 |
| 15.00 | 1.0449 | 1.0359 | .9784 | .9845 | 1.0041 |
| 16.00 | 1.0451 | 1.0357 | .9787 | .9847 | 1.0045 |
| 17.00 | 1.0453 | 1.0355 | .9791 | .9850 | 1.0050 |
| 18.00 | 1.0455 | 1.0353 | .9794 | .9852 | 1.0053 |
| 19.00 | 1.0456 | 1.0352 | .9796 | .9853 | 1.0057 |
| 20.00 | 1.0458 | 1.0351 | .9798 | .9855 | 1.0059 |
| 22.00 | 1.0460 | 1.0349 | .9802 | .9857 | 1.0065 |
| 24.00 | 1.0462 | 1.0347 | .9805 | .9859 | 1.0069 |
| 26.00 | 1.0464 | 1.0346 | .9807 | .9860 | 1.0072 |
| 28.00 | 1.0466 | 1.0345 | .9809 | .9862 | 1.0075 |
| 30.00 | 1.0467 | 1.0343 | .9811 | .9863 | 1.0077 |
| 32.00 | 1.0468 | 1.0342 | .9813 | .9864 | 1.0079 |
| 34.00 | 1.0469 | 1.0342 | .9814 | .9864 | 1.0081 |
| 36.00 | 1.0470 | 1.0341 | .9815 | .9865 | 1.0083 |
| 38.00 | 1.0471 | 1.0340 | .9816 | .9866 | 1.0084 |
| 40.00 | 1.0472 | 1.0339 | .9817 | .9866 | 1.0086 |
| 45.00 | 1.0473 | 1.0338 | .9819 | .9867 | 1.0089 |
| 50.00 | 1.0475 | 1.0337 | .9820 | .9868 | 1.0091 |
| 55.00 | 1.0476 | 1.0336 | .9822 | .9869 | 1.0094 |
| 60.00 | 1.0477 | 1.0335 | .9823 | .9870 | 1.0095 |
| 65.00 | 1.0478 | 1.0334 | .9823 | .9870 | 1.0097 |
| 70.00 | 1.0479 | 1.0334 | .9824 | .9871 | 1.0098 |
| 75.00 | 1.0480 | 1.0333 | .9825 | .9871 | 1.0099 |
| 80.00 | 1.0480 | 1.0333 | .9825 | .9871 | 1.0100 |
| 85.00 | 1.0481 | 1.0332 | .9826 | .9871 | 1.0101 |
| 90.00 | 1.0482 | 1.0332 | .9826 | .9872 | 1.0102 |
| 95.00 | 1.0482 | 1.0332 | .9827 | .9872 | 1.0102 |
| 100.00 | 1.0482 | 1.0332 | .9827 | .9872 | 1.0103 |
| 125.00 | 1.0484 | 1.0331 | .9828 | .9873 | 1.0105 |
| 150.00 | 1.0485 | 1.0330 | .9829 | .9873 | 1.0107 |
| 175.00 | 1.0486 | 1.0329 | .9830 | .9874 | 1.0109 |
| 200.00 | 1.0487 | 1.0328 | .9830 | .9874 | 1.0110 |
Table 11b.
Ratios of collision integrals for the (50, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0551 | 1.1840 | .8887 | .9190 | .9431 |
| .15 | 1.0597 | 1.1831 | .8893 | .9199 | .9435 |
| .20 | 1.0635 | 1.1842 | .8896 | .9207 | .9434 |
| .25 | 1.0672 | 1.1874 | .8893 | .9212 | .9426 |
| .30 | 1.0706 | 1.1910 | .8886 | .9211 | .9414 |
| .35 | 1.0736 | 1.1937 | .8876 | .9202 | .9401 |
| .40 | 1.0762 | 1.1945 | .8867 | .9188 | .9391 |
| .45 | 1.0775 | 1.1933 | .8861 | .9171 | .9386 |
| .50 | 1.0786 | 1.1904 | .8857 | .9155 | .9377 |
| .55 | 1.0785 | 1.1862 | .8859 | .9142 | .9378 |
| .60 | 1.0787 | 1.1807 | .8863 | .9131 | .9377 |
| .65 | 1.0777 | 1.1752 | .8871 | .9125 | .9379 |
| .70 | 1.0761 | 1.1690 | .8882 | .9123 | .9383 |
| .75 | 1.0752 | 1.1625 | .8896 | .9123 | .9390 |
| .80 | 1.0744 | 1.1559 | .8912 | .9125 | .9398 |
| .85 | 1.0723 | 1.1500 | .8928 | .9132 | .9404 |
| .90 | 1.0701 | 1.1441 | .8945 | .9142 | .9411 |
| .95 | 1.0684 | 1.1383 | .8965 | .9152 | .9421 |
| 1.00 | 1.0673 | 1.1327 | .8985 | .9163 | .9432 |
| 1.10 | 1.0647 | 1.1223 | .9026 | .9188 | .9455 |
| 1.20 | 1.0610 | 1.1135 | .9064 | .9219 | .9474 |
| 1.30 | 1.0580 | 1.1057 | .9102 | .9249 | .9494 |
| 1.40 | 1.0561 | 1.0987 | .9141 | .9278 | .9518 |
| 1.50 | 1.0541 | 1.0924 | .9178 | .9307 | .9539 |
| 1.60 | 1.0522 | 1.0870 | .9212 | .9335 | .9560 |
| 1.70 | 1.0500 | 1.0823 | .9242 | .9363 | .9576 |
| 1.80 | 1.0481 | 1.0782 | .9270 | .9389 | .9592 |
| 1.90 | 1.0466 | 1.0745 | .9298 | .9414 | .9609 |
| 2.00 | 1.0455 | 1.0712 | .9324 | .9437 | .9626 |
| 2.20 | 1.0437 | 1.0655 | .9373 | .9478 | .9658 |
| 2.40 | 1.0421 | 1.0609 | .9415 | .9515 | .9687 |
| 2.60 | 1.0406 | 1.0571 | .9450 | .9549 | .9711 |
| 2.80 | 1.0392 | 1.0540 | .9480 | .9578 | .9731 |
| 3.00 | 1.0383 | 1.0514 | .9508 | .9604 | .9752 |
| 3.20 | 1.0376 | 1.0491 | .9533 | .9627 | .9771 |
| 3.40 | 1.0371 | 1.0472 | .9556 | .9647 | .9788 |
| 3.60 | 1.0368 | 1.0457 | .9576 | .9664 | .9804 |
| 3.80 | 1.0365 | 1.0443 | .9594 | .9680 | .9819 |
| 4.00 | 1.0362 | 1.0431 | .9611 | .9695 | .9833 |
| 4.50 | 1.0357 | 1.0405 | .9644 | .9725 | .9860 |
| 5.00 | 1.0354 | 1.0387 | .9671 | .9748 | .9883 |
| 5.50 | 1.0351 | 1.0371 | .9692 | .9768 | .9901 |
| 6.00 | 1.0352 | 1.0361 | .9710 | .9783 | .9918 |
| 6.50 | 1.0352 | 1.0351 | .9725 | .9795 | .9932 |
| 7.00 | 1.0353 | 1.0344 | .9738 | .9806 | .9944 |
| 7.50 | 1.0354 | 1.0338 | .9748 | .9814 | .9955 |
| 8.00 | 1.0356 | 1.0332 | .9758 | .9822 | .9965 |
| 8.50 | 1.0356 | 1.0328 | .9765 | .9828 | .9972 |
| 9.00 | 1.0357 | 1.0324 | .9772 | .9834 | .9979 |
| 9.50 | 1.0358 | 1.0320 | .9779 | .9838 | .9986 |
| 10.00 | 1.0360 | 1.0318 | .9784 | .9842 | .9991 |
| 11.00 | 1.0361 | 1.0312 | .9793 | .9850 | 1.0001 |
| 12.00 | 1.0363 | 1.0308 | .9800 | .9855 | 1.0009 |
| 13.00 | 1.0365 | 1.0304 | .9806 | .9860 | 1.0016 |
| 14.00 | 1.0366 | 1.0301 | .9811 | .9863 | 1.0021 |
| 15.00 | 1.0367 | 1.0298 | .9816 | .9867 | 1.0026 |
| 16.00 | 1.0369 | 1.0296 | .9819 | .9870 | 1.0031 |
| 17.00 | 1.0370 | 1.0294 | .9823 | .9872 | 1.0035 |
| 18.00 | 1.0371 | 1.0292 | .9826 | .9874 | 1.0038 |
| 19.00 | 1.0372 | 1.0291 | .9828 | .9876 | 1.0042 |
| 20.00 | 1.0373 | 1.0289 | .9830 | .9877 | 1.0044 |
| 22.00 | 1.0376 | 1.0287 | .9834 | .9880 | 1.0049 |
| 24.00 | 1.0377 | 1.0285 | .9837 | .9882 | 1.0054 |
| 26.00 | 1.0378 | 1.0284 | .9840 | .9884 | 1.0057 |
| 28.00 | 1.0380 | 1.0282 | .9842 | .9885 | 1.0059 |
| 30.00 | 1.0380 | 1.0281 | .9844 | .9886 | 1.0061 |
| 32.00 | 1.0381 | 1.0280 | .9845 | .9887 | 1.0063 |
| 34.00 | 1.0382 | 1.0279 | .9846 | .9888 | 1.0065 |
| 36.00 | 1.0383 | 1.0278 | .9848 | .9888 | 1.0067 |
| 38.00 | 1.0383 | 1.0278 | .9849 | .9889 | 1.0068 |
| 40.00 | 1.0384 | 1.0277 | .9850 | .9890 | 1.0070 |
| 45.00 | 1.0385 | 1.0275 | .9852 | .9891 | 1.0073 |
| 50.00 | 1.0387 | 1.0274 | .9853 | .9892 | 1.0075 |
| 55.00 | 1.0387 | 1.0273 | .9854 | .9893 | 1.0077 |
| 60.00 | 1.0388 | 1.0272 | .9855 | .9894 | 1.0078 |
| 65.00 | 1.0389 | 1.0271 | .9856 | .9894 | 1.0080 |
| 70.00 | 1.0389 | 1.0271 | .9857 | .9894 | 1.0081 |
| 75.00 | 1.0390 | 1.0270 | .9858 | .9895 | 1.0081 |
| 80.00 | 1.0390 | 1.0270 | .9858 | .9895 | 1.0082 |
| 85.00 | 1.0391 | 1.0270 | .9859 | .9895 | 1.0083 |
| 90.00 | 1.0391 | 1.0270 | .9859 | .9895 | 1.0083 |
| 95.00 | 1.0391 | 1.0269 | .9859 | .9895 | 1.0083 |
| 100.00 | 1.0391 | 1.0269 | .9860 | .9895 | 1.0084 |
| 125.00 | 1.0392 | 1.0268 | .9861 | .9896 | 1.0085 |
| 150.00 | 1.0392 | 1.0267 | .9862 | .9897 | 1.0087 |
| 175.00 | 1.0393 | 1.0265 | .9862 | .9898 | 1.0088 |
| 200.00 | 1.0394 | 1.0265 | .9863 | .9899 | 1.0090 |
Table 12b.
Ratios of collision integrals for the (75, 6) potential function
| T* | A* | B* | C* | E* | F* |
|---|---|---|---|---|---|
| .10 | 1.0567 | 1.1825 | .8894 | .9194 | .9437 |
| .15 | 1.0608 | 1.1807 | .8904 | .9203 | .9442 |
| .20 | 1.0641 | 1.1801 | .8911 | .92.12 | .9445 |
| .25 | 1.0670 | 1.1809 | .8914 | .9218 | .9443 |
| .30 | 1.0695 | 1.1821 | .8915 | .9219 | .9436 |
| .35 | 1.0717 | 1.1827 | .8914 | .9215 | .9430 |
| .40 | 1.0730 | 1.1820 | .8913 | .9206 | .9423 |
| .45 | 1.0737 | 1.1801 | .8914 | .9196 | .9417 |
| .50 | 1.0740 | 1.1767 | .8917 | .9185 | .9415 |
| .55 | 1.0737 | 1.1723 | .8924 | .9178 | .9414 |
| .60 | 1.0726 | 1.1673 | .8932 | .9172 | .9415 |
| .65 | 1.0722 | 1.1614 | .8944 | .9169 | .9419 |
| .70 | 1.0703 | 1.1557 | .8957 | .9169 | .9420 |
| .75 | 1.0684 | 1.1497 | .8972 | .9173 | .9427 |
| .80 | 1.0672 | 1.1436 | .8990 | .9178 | .9435 |
| .85 | 1.0657 | 1.1375 | .9008 | .9185 | .9442 |
| .90 | 1.0639 | 1.1318 | .9026 | .9195 | .9451 |
| .95 | 1.0617 | 1.1265 | .9045 | .9208 | .9459 |
| 1.00 | 1.0599 | 1.1213 | .9065 | .9220 | .9470 |
| 1.10 | 1.0571 | 1.1113 | .9106 | .9247 | .9491 |
| 1.20 | 1.0544 | 1.1026 | .9145 | .9276 | .9514 |
| 1.30 | 1.0511 | 1.0952 | .9182 | .9307 | .9534 |
| 1.40 | 1.0484 | 1.0885 | .9218 | .9338 | .9554 |
| 1.50 | 1.0466 | 1.0826 | .9253 | .9365 | .9575 |
| 1.60 | 1.0449 | 1.0775 | .9286 | .9391 | .9595 |
| 1.70 | 1.0432 | 1.0730 | .9317 | .9417 | .9613 |
| 1.80 | 1.0414 | 1.0690 | .9345 | .9442 | .9628 |
| 1.90 | 1.0396 | 1.0656 | .9370 | .9465 | .9641 |
| 2.00 | 1.0382 | 1.0626 | .9394 | .9486 | .9655 |
| 2.20 | 1.0360 | 1.0574 | .9439 | .9523 | .9680 |
| 2.40 | 1.0343 | 1.0532 | .9478 | .9556 | .9704 |
| 2.60 | 1.0328 | 1.0497 | .9512 | .9586 | .9725 |
| 2.80 | 1.0313 | 1.0467 | .9542 | .9613 | .9741 |
| 3.00 | 1.0299 | 1.0442 | .9567 | .9637 | .9756 |
| 3.20 | 1.0290 | 1.0421 | .9589 | .9658 | .9771 |
| 3.40 | 1.0281 | 1.0401 | .9610 | .9677 | .9785 |
| 3.60 | 1.0274 | 1.0384 | .9629 | .9695 | .9798 |
| 3.80 | 1.0269 | 1.0370 | .9646 | .9710 | .9811 |
| 4.00 | 1.0266 | 1.0357 | .9661 | .9724 | .9823 |
| 4.50 | 1.0257 | 1.0329 | .9694 | .9755 | .9849 |
| 5.00 | 1.0252 | 1.0308 | .9719 | .9780 | .9871 |
| 5.50 | 1.0248 | 1.0292 | .9740 | .9799 | .9889 |
| 6.00 | 1.0246 | 1.0279 | .9757 | .9815 | .9905 |
| 6.50 | 1.0246 | 1.0269 | .9771 | .9827 | .9919 |
| 7.00 | 1.0246 | 1.0262 | .9784 | .9838 | .9930 |
| 7.50 | 1.0246 | 1.0255 | .9794 | .9846 | .9940 |
| 8.00 | 1.0246 | 1.0250 | .9803 | .9853 | .9949 |
| 8.50 | 1.0247 | 1.0245 | .9811 | .9859 | .9956 |
| 9.00 | 1.0247 | 1.0241 | .9818 | .9865 | .9963 |
| 9.50 | 1.0247 | 1.0238 | .9824 | .9869 | .9968 |
| 10.00 | 1.0248 | 1.0235 | .9829 | .9873 | .9973 |
| 11.00 | 1.0249 | 1.0229 | .9838 | .9880 | .9982 |
| 12.00 | 1.0249 | 1.0224 | .9845 | .9886 | .9990 |
| 13.00 | 1.0251 | 1.0220 | .9851 | .9891 | .9997 |
| 14.00 | 1.0251 | 1.0217 | .9856 | .9895 | 1.0002 |
| 15.00 | 1.0252 | 1.0214 | .9860 | .9899 | 1.0007 |
| 16.00 | 1.0253 | 1.0211 | .9864 | .9901 | 1.0011 |
| 17.00 | 1.0254 | 1.0209 | .9867 | .9904 | 1.0015 |
| 18.00 | 1.0255 | 1.0207 | .9870 | .9906 | 1.0018 |
| 19.00 | 1.0255 | 1.0206 | .9873 | .9908 | 1.0020 |
| 20.00 | 1.0256 | 1.0205 | .9875 | .9909 | 1.0023 |
| 22.00 | 1.0258 | 1.0203 | .9879 | .9911 | 1.0027 |
| 24.00 | 1.0258 | 1.0201 | .9882 | .9913 | 1.0030 |
| 26.00 | 1.0259 | 1.0200 | .9884 | .9914 | 1.0033 |
| 28.00 | 1.0259 | 1.0199 | .9886 | .9916 | 1.0034 |
| 30.00 | 1.0260 | 1.0197 | .9888 | .9917 | 1.0036 |
| 32.00 | 1.0260 | 1.0196 | .9889 | .9918 | 1.0038 |
| 34.00 | 1.0260 | 1.0195 | .9890 | .9919 | 1.0039 |
| 36.00 | 1.0260 | 1.0193 | .9892 | .9920 | 1.0041 |
| 38.00 | 1.0261 | 1.0192 | .9893 | .9921 | 1.0043 |
| 40.00 | 1.0261 | 1.0191 | .9894 | .9922 | 1.0044 |
| 45.00 | 1.0262 | 1.0189 | .9896 | .9924 | 1.0048 |
| 50.00 | 1.0264 | 1.0187 | .9898 | .9926 | 1.0051 |
| 55.00 | 1.0265 | 1.0185 | .9899 | .9927 | 1.0054 |
| 60.00 | 1.0266 | 1.0184 | .9900 | .9929 | 1.0057 |
| 65.00 | 1.0267 | 1.0183 | .9901 | .9930 | 1.0059 |
| 70.00 | 1.0268 | 1.0182 | .9902 | .9930 | 1.0061 |
| 75.00 | 1.0269 | 1.0181 | .9903 | .9931 | 1.0063 |
| 80.00 | 1.0270 | 1.0181 | .9904 | .9931 | 1.0064 |
| 85.00 | 1.0271 | 1.0181 | .9904 | .9931 | 1.0065 |
| 90.00 | 1.0272 | 1.0181 | .9905 | .9931 | 1.0067 |
| 95.00 | 1.0272 | 1.0181 | .9905 | .9931 | 1.0067 |
| 100.00 | 1.0273 | 1.0181 | .9905 | .9931 | 1.0067 |
| 125.00 | 1.0273 | 1.0182 | .9906 | .9930 | 1.0067 |
| 150.00 | 1.0273 | 1.0182 | .9907 | .9929 | 1.0066 |
| 175.00 | 1.0274 | 1.0182 | .9907 | .9929 | 1.0067 |
| 200.00 | 1.0272 | 1.0181 | .9907 | .9930 | 1.0066 |
Table 3c.
Tables of additional functions of the collision integrals (9, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0014 | 1.0022 | 1.0014 | .258 | .260 | .263 |
| .15 | 1.0016 | 1.0025 | 1.0009 | .207 | .208 | .214 |
| .20 | 1.0015 | 1.0023 | 1.0004 | .131 | .130 | .138 |
| .25 | 1.0010 | 1.0015 | 1.0001 | .048 | .048 | .054 |
| .30 | 1.0004 | 1.0006 | 1.0000 | −.024 | −.023 | −.021 |
| .35 | 1.0001 | 1.0001 | 1.0002 | −.082 | −.080 | −.081 |
| .40 | 1.0000 | 1.0000 | 1.0003 | −.122 | −.120 | −.122 |
| .45 | 1.0001 | 1.0001 | 1.0006 | −.154 | −.152 | −.155 |
| .50 | 1.0002 | 1.0003 | 1.0007 | −.170 | −.168 | −.170 |
| .55 | 1.0004 | 1.0006 | 1.0008 | −.178 | −.176 | −.177 |
| .60 | 1.0005 | 1.0008 | 1.0008 | −.185 | −.183 | −.183 |
| .65 | 1.0006 | 1.0009 | 1.0008 | −.183 | −.183 | −.181 |
| .70 | 1.0006 | 1.0010 | 1.0007 | −.175 | −.174 | −.172 |
| .75 | 1.0006 | 1.0010 | 1.0006 | −.163 | −.163 | −.160 |
| .80 | 1.0006 | 1.0010 | 1.0006 | −.149 | −.150 | −.146 |
| .85 | 1.0006 | 1.0009 | 1.0005 | −.139 | −.139 | −.135 |
| .90 | 1.0005 | 1.0008 | 1.0004 | −.127 | −.128 | −.124 |
| .95 | 1.0004 | 1.0006 | 1.0003 | −.113 | −.114 | −.110 |
| 1.00 | 1.0003 | 1.0005 | 1.0002 | −.096 | −.097 | −.093 |
| 1.10 | 1.0002 | 1.0003 | 1.0001 | −.061 | −.061 | −.058 |
| 1.20 | 1.0001 | 1.0001 | 1.0000 | −.026 | −.026 | −.024 |
| 1.30 | 1.0000 | 1.0000 | 1.0000 | .006 | .006 | .007 |
| 1.40 | 1.0000 | 1.0000 | 1.0000 | .033 | .034 | .033 |
| 1.50 | 1.0000 | 1.0001 | 1.0001 | .060 | .061 | .059 |
| 1.60 | 1.0001 | 1.0002 | 1.0002 | .086 | .088 | .085 |
| 1.70 | 1.0002 | 1.0004 | 1.0003 | .112 | .115 | .110 |
| 1.80 | 1.0004 | 1.0006 | 1.0005 | .136 | .140 | .135 |
| 1.90 | 1.0005 | 1.0008 | 1.0006 | .159 | .163 | .157 |
| 2.00 | 1.0007 | 1.0011 | 1.0008 | .180 | .185 | .178 |
| 2.20 | 1.0011 | 1.0017 | 1.0012 | .217 | .223 | .216 |
| 2.40 | 1.0015 | 1.0023 | 1.0016 | .248 | .255 | .247 |
| 2.60 | 1.0018 | 1.0029 | 1.0019 | .273 | .281 | .273 |
| 2.80 | 1.0022 | 1.0034 | 1.0022 | .295 | .304 | .296 |
| 3.00 | 1.0025 | 1.0040 | 1.0025 | .315 | .324 | .317 |
| 3.20 | 1.0029 | 1.0044 | 1.0028 | .333 | .343 | .336 |
| 3.40 | 1.0031 | 1.0049 | 1.0031 | .349 | .359 | .353 |
| 3.60 | 1.0034 | 1.0053 | 1.0034 | .363 | .374 | .368 |
| 3.80 | 1.0036 | 1.0057 | 1.0036 | .375 | .386 | .381 |
| 4.00 | 1.0039 | 1.0060 | 1.0038 | .386 | .398 | .393 |
| 4.50 | 1.0043 | 1.0067 | 1.0043 | .409 | .420 | .417 |
| 5.00 | 1.0047 | 1.0073 | 1.0047 | .425 | .438 | .436 |
| 5.50 | 1.0050 | 1.0077 | 1.0050 | .438 | .451 | .450 |
| 6.00 | 1.0052 | 1.0081 | 1.0052 | .448 | .461 | .461 |
| 6.50 | 1.0054 | 1.0084 | 1.0054 | .456 | .469 | .470 |
| 7.00 | 1.0056 | 1.0087 | 1.0056 | .462 | .476 | .477 |
| 7.50 | 1.0057 | 1.0089 | 1.0057 | .467 | .481 | .483 |
| 8.00 | 1.0058 | 1.0091 | 1.0058 | .472 | .486 | .488 |
| 8.50 | 1.0060 | 1.0093 | 1.0060 | .476 | .489 | .492 |
| 9.00 | 1.0060 | 1.0094 | 1.0060 | .479 | .493 | .496 |
| 9.50 | 1.0061 | 1.0095 | 1.0061 | .482 | .496 | .499 |
| 10.00 | 1.0062 | 1.0096 | 1.0062 | .484 | .498 | .502 |
| 11.00 | 1.0063 | 1.0098 | 1.0063 | .487 | .502 | .506 |
| 12.00 | 1.0063 | 1.0099 | 1.0064 | .490 | .504 | .509 |
| 13.00 | 1.0064 | 1.0099 | 1.0064 | .492 | .506 | .511 |
| 14.00 | 1.0064 | 1.0100 | 1.0065 | .493 | .507 | .513 |
| 15.00 | 1.0064 | 1.0100 | 1.0065 | .494 | .508 | .514 |
| 16.00 | 1.0064 | 1.0100 | 1.0066 | .495 | .509 | .515 |
| 17.00 | 1.0065 | 1.0100 | 1.0066 | .495 | .509 | .516 |
| 18.00 | 1.0065 | 1.0100 | 1.0066 | .496 | .510 | .516 |
| 19.00 | 1.0065 | 1.0100 | 1.0066 | .496 | .510 | .516 |
| 20.00 | 1.0064 | 1.0100 | 1.0066 | .496 | .510 | .516 |
| 22.00 | 1.0064 | 1.0100 | 1.0066 | .496 | .509 | .516 |
| 24.00 | 1.0064 | 1.0100 | 1.0066 | .495 | .509 | .516 |
| 26.00 | 1.0064 | 1.0099 | 1.0066 | .495 | .508 | .515 |
| 28.00 | 1.0064 | 1.0099 | 1.0066 | .494 | .508 | .514 |
| 30.00 | 1.0063 | 1.0098 | 1.0066 | .493 | .507 | .514 |
| 32.00 | 1.0063 | 1.0098 | 1.0066 | .493 | .506 | .513 |
| 34.00 | 1.0063 | 1.0098 | 1.0066 | .492 | .505 | .512 |
| 36.00 | 1.0063 | 1.0097 | 1.0066 | .491 | .505 | .511 |
| 38.00 | 1.0062 | 1.0097 | 1.0065 | .490 | .504 | .511 |
| 40.00 | 1.0062 | 1.0097 | 1.0065 | .490 | .503 | .510 |
| 45.00 | 1.0062 | 1.0096 | 1.0065 | .488 | .501 | .508 |
| 50.00 | 1.0061 | 1.0095 | 1.0065 | .487 | .500 | .507 |
| 55.00 | 1.0061 | 1.0094 | 1.0064 | .485 | .498 | .505 |
| 60.00 | 1.0060 | 1.0094 | 1.0064 | .484 | .497 | .504 |
| 65.00 | 1.0060 | 1.0093 | 1.0064 | .483 | .496 | .502 |
| 70.00 | 1.0060 | 1.0093 | 1.0064 | .482 | .495 | .501 |
| 75.00 | 1.0059 | 1.0092 | 1.0063 | .481 | .494 | .500 |
| 80.00 | 1.0059 | 1.0092 | 1.0063 | .480 | .493 | .499 |
| 85.00 | 1.0059 | 1.0092 | 1.0063 | .479 | .492 | .498 |
| 90.00 | 1.0059 | 1.0091 | 1.0063 | .478 | .491 | .497 |
| 95.00 | 1.0058 | 1.0091 | 1.0063 | .477 | .490 | .496 |
| 100.00 | 1.0058 | 1.0091 | 1.0063 | .477 | .489 | .496 |
| 125.00 | 1.0057 | 1.0089 | 1.0062 | .474 | .486 | .492 |
| 150.00 | 1.0057 | 1.0088 | 1.0061 | .471 | .484 | .490 |
| 175.00 | 1.0056 | 1.0088 | 1.0061 | .469 | .482 | .488 |
| 200.00 | 1.0056 | 1.0087 | 1.0061 | .468 | .480 | .486 |
Table 4c.
Tables of additional functions of the collision integrals (12, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0017 | 1.0027 | 1.0017 | .284 | .288 | .290 |
| .15 | 1.0018 | 1.0028 | 1.0014 | .258 | .260 | .264 |
| .20 | 1.0018 | 1.0029 | 1.0010 | .211 | .211 | .219 |
| .25 | 1.0015 | 1.0024 | 1.0005 | .154 | .153 | .161 |
| .30 | 1.0010 | 1.0016 | 1.0002 | .096 | .096 | .102 |
| .35 | 1.0006 | 1.0009 | 1.0001 | .049 | .048 | .052 |
| .40 | 1.0003 | 1.0004 | 1.0000 | .010 | .010 | .012 |
| .45 | 1.0001 | 1.0001 | 1.0000 | −.017 | −.017 | −.016 |
| .50 | 1.0000 | 1.0000 | 1.0000 | −.036 | −.036 | −.036 |
| .55 | 1.0000 | 1.0000 | 1.0001 | −.049 | −.049 | −.049 |
| .60 | 1.0000 | 1.0000 | 1.0001 | −.052 | −.052 | −.052 |
| .65 | 1.0000 | 1.0001 | 1.0001 | −.052 | −.051 | −.051 |
| .70 | 1.0001 | 1.0001 | 1.0001 | −.049 | −.049 | −.049 |
| .75 | 1.0001 | 1.0001 | 1.0000 | −.045 | −.045 | −.044 |
| .80 | 1.0001 | 1.0001 | 1.0000 | −.036 | −.036 | −.035 |
| .85 | 1.0000 | 1.0001 | 1.0000 | −.023 | −.023 | −.023 |
| .90 | 1.0000 | 1.0001 | 1.0000 | −.010 | −.010 | −.009 |
| .95 | 1.0000 | 1.0000 | 1.0000 | .004 | .004 | .004 |
| 1.00 | 1.0000 | 1.0000 | 1.0000 | .016 | .017 | .017 |
| 1.10 | 1.0000 | 1.0000 | 1.0000 | .041 | .041 | .040 |
| 1.20 | 1.0000 | 1.0000 | 1.0001 | .069 | .071 | .069 |
| 1.30 | 1.0001 | 1.0001 | 1.0002 | .099 | .101 | .098 |
| 1.40 | 1.0002 | 1.0003 | 1.0004 | .127 | .130 | .126 |
| 1.50 | 1.0003 | 1.0005 | 1.0006 | .153 | .157 | .152 |
| 1.60 | 1.0005 | 1.0008 | 1.0008 | .176 | .181 | .175 |
| 1.70 | 1.0007 | 1.0011 | 1.0010 | .197 | .202 | .195 |
| 1.80 | 1.0009 | 1.0014 | 1.0012 | .217 | .223 | .216 |
| 1.90 | 1.0011 | 1.0017 | 1.0014 | .237 | .243 | .236 |
| 2.00 | 1.0013 | 1.0021 | 1.0016 | .256 | .263 | .255 |
| 2.20 | 1.0018 | 1.0028 | 1.0021 | .290 | .298 | .290 |
| 2.40 | 1.0022 | 1.0035 | 1.0026 | .319 | .329 | .320 |
| 2.60 | 1.0027 | 1.0041 | 1.0030 | .345 | .355 | .347 |
| 2.80 | 1.0031 | 1.0048 | 1.0034 | .366 | .377 | .370 |
| 3.00 | 1.0034 | 1.0054 | 1.0037 | .384 | .396 | .389 |
| 3.20 | 1.0038 | 1.0059 | 1.0040 | .399 | .412 | .405 |
| 3.40 | 1.0041 | 1.0064 | 1.0043 | .413 | .427 | .421 |
| 3.60 | 1.0044 | 1.0069 | 1.0046 | .426 | .440 | .435 |
| 3.80 | 1.0047 | 1.0073 | 1.0048 | .438 | .452 | .447 |
| 4.00 | 1.0049 | 1.0076 | 1.0051 | .448 | .463 | .459 |
| 4.50 | 1.0054 | 1.0084 | 1.0056 | .470 | .485 | .482 |
| 5.00 | 1.0058 | 1.0090 | 1.0060 | .486 | .502 | .500 |
| 5.50 | 1.0061 | 1.0095 | 1.0063 | .498 | .515 | .514 |
| 6.00 | 1.0064 | 1.0099 | 1.0066 | .508 | .525 | .526 |
| 6.50 | 1.0066 | 1.0103 | 1.0068 | .516 | .533 | .535 |
| 7.00 | 1.0068 | 1.0105 | 1.0070 | .522 | .540 | .542 |
| 7.50 | 1.0069 | 1.0107 | 1.0072 | .528 | .545 | .548 |
| 8.00 | 1.0070 | 1.0109 | 1.0073 | .532 | .549 | .553 |
| 8.50 | 1.0071 | 1.0111 | 1.0074 | .535 | .553 | .557 |
| 9.00 | 1.0072 | 1.0112 | 1.0075 | .538 | .556 | .560 |
| 9.50 | 1.0073 | 1.0113 | 1.0076 | .541 | .559 | .563 |
| 10.00 | 1.0073 | 1.0114 | 1.0076 | .543 | .561 | .566 |
| 11.00 | 1.0074 | 1.0115 | 1.0078 | .547 | .565 | .570 |
| 12.00 | 1.0075 | 1.0116 | 1.0079 | .550 | .568 | .574 |
| 13.00 | 1.0075 | 1.0117 | 1.0079 | .552 | .570 | .576 |
| 14.00 | 1.0076 | 1.0118 | 1.0080 | .553 | .571 | .578 |
| 15.00 | 1.0076 | 1.0118 | 1.0080 | .555 | .573 | .579 |
| 16.00 | 1.0076 | 1.0118 | 1.0081 | .555 | .574 | .580 |
| 17.00 | 1.0076 | 1.0119 | 1.0081 | .556 | .574 | .581 |
| 18.00 | 1.0076 | 1.0119 | 1.0081 | .557 | .575 | .582 |
| 19.00 | 1.0076 | 1.0119 | 1.0081 | .557 | .575 | .582 |
| 20.00 | 1.0077 | 1.0119 | 1.0082 | .557 | .575 | .583 |
| 22.00 | 1.0077 | 1.0119 | 1.0082 | .558 | .576 | .583 |
| 24.00 | 1.0077 | 1.0119 | 1.0082 | .558 | .576 | .583 |
| 26.00 | 1.0077 | 1.0119 | 1.0082 | .558 | .576 | .584 |
| 28.00 | 1.0077 | 1.0119 | 1.0082 | .558 | .576 | .583 |
| 30.00 | 1.0076 | 1.0119 | 1.0082 | .558 | .576 | .583 |
| 32.00 | 1.0076 | 1.0119 | 1.0082 | .557 | .575 | .583 |
| 34.00 | 1.0076 | 1.0119 | 1.0082 | .557 | .575 | .583 |
| 36.00 | 1.0076 | 1.0118 | 1.0082 | .557 | .575 | .583 |
| 38.00 | 1.0076 | 1.0118 | 1.0082 | .557 | .575 | .582 |
| 40.00 | 1.0076 | 1.0118 | 1.0082 | .556 | .574 | .582 |
| 45.00 | 1.0076 | 1.0118 | 1.0082 | .556 | .573 | .581 |
| 50.00 | 1.0075 | 1.0117 | 1.0082 | .555 | .573 | .581 |
| 55.00 | 1.0075 | 1.0117 | 1.0082 | .554 | .572 | .580 |
| 60.00 | 1.0075 | 1.0117 | 1.0082 | .554 | .571 | .579 |
| 65.00 | 1.0075 | 1.0116 | 1.0081 | .553 | .571 | .578 |
| 70.00 | 1.0075 | 1.0116 | 1.0081 | .553 | .570 | .578 |
| 75.00 | 1.0074 | 1.0116 | 1.0081 | .552 | .570 | .577 |
| 80.00 | 1.0074 | 1.0116 | 1.0081 | .552 | .569 | .577 |
| 85.00 | 1.0074 | 1.0115 | 1.0081 | .551 | .569 | .576 |
| 90.00 | 1.0074 | 1.0115 | 1.0081 | .551 | .568 | .576 |
| 95.00 | 1.0074 | 1.0115 | 1.0081 | .550 | .568 | .575 |
| 100.00 | 1.0074 | 1.0115 | 1.0081 | .550 | .567 | .575 |
| 125.00 | 1.0073 | 1.0114 | 1.0080 | .548 | .565 | .573 |
| 150.00 | 1.0073 | 1.0113 | 1.0080 | .547 | .564 | .572 |
| 175.00 | 1.0072 | 1.0113 | 1.0080 | .546 | .563 | .570 |
| 200.00 | 1.0072 | 1.0112 | 1.0080 | .545 | .562 | .570 |
Table 5c.
Tables of additional functions of the collision integrals (15, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0018 | 1.0028 | 1.0018 | .289 | .293 | .295 |
| .15 | 1.0019 | 1.0030 | 1.0017 | .274 | .277 | .280 |
| .20 | 1.0020 | 1.0030 | 1.0013 | .245 | .246 | .252 |
| .25 | 1.0018 | 1.0028 | 1.0009 | .203 | .203 | .211 |
| .30 | 1.0014 | 1.0022 | 1.0006 | .160 | .160 | .167 |
| .35 | 1.0010 | 1.0015 | 1.0003 | .121 | .120 | .125 |
| .40 | 1.0006 | 1.0009 | 1.0002 | .088 | .088 | .091 |
| .45 | 1.0004 | 1.0005 | 1.0001 | .063 | .063 | .065 |
| .50 | 1.0002 | 1.0003 | 1.0001 | .047 | .047 | .048 |
| .55 | 1.0001 | 1.0001 | 1.0000 | .036 | .036 | .036 |
| .60 | 1.0000 | 1.0001 | 1.0000 | .029 | .029 | .029 |
| .65 | 1.0000 | 1.0000 | 1.0000 | .029 | .029 | .029 |
| .70 | 1.0000 | 1.0000 | 1.0000 | .033 | .033 | .033 |
| .75 | 1.0000 | 1.0000 | 1.0000 | .038 | .038 | .038 |
| .80 | 1.0000 | 1.0000 | 1.0000 | .044 | .044 | .044 |
| .85 | 1.0000 | 1.0000 | 1.0001 | .052 | .053 | .052 |
| .90 | 1.0000 | 1.0000 | 1.0001 | .063 | .064 | .063 |
| .95 | 1.0000 | 1.0001 | 1.0001 | .076 | .077 | .076 |
| 1.00 | 1.0001 | 1.0001 | 1.0002 | .089 | .091 | .089 |
| 1.10 | 1.0001 | 1.0002 | 1.0003 | .115 | .117 | .114 |
| 1.20 | 1.0002 | 1.0003 | 1.0005 | .138 | .141 | .137 |
| 1.30 | 1.0004 | 1.0006 | 1.0007 | .163 | .166 | .162 |
| 1.40 | 1.0005 | 1.0008 | 1.0009 | .189 | .193 | .188 |
| 1.50 | 1.0007 | 1.0011 | 1.0011 | .214 | .219 | .213 |
| 1.60 | 1.0009 | 1.0014 | 1.0014 | .237 | .243 | .236 |
| 1.70 | 1.0011 | 1.0018 | 1.0016 | .258 | .265 | .257 |
| 1.80 | 1.0014 | 1.0021 | 1.0019 | .277 | .284 | .277 |
| 1.90 | 1.0016 | 1.0025 | 1.0021 | .294 | .302 | .294 |
| 2.00 | 1.0019 | 1.0029 | 1.0024 | .310 | .319 | .311 |
| 2.20 | 1.0024 | 1.0037 | 1.0029 | .341 | .352 | .343 |
| 2.40 | 1.0029 | 1.0045 | 1.0034 | .369 | .381 | .372 |
| 2.60 | 1.0033 | 1.0052 | 1.0038 | .393 | .406 | .398 |
| 2.80 | 1.0037 | 1.0058 | 1.0043 | .414 | .428 | .420 |
| 3.00 | 1.0041 | 1.0064 | 1.0046 | .432 | .447 | .440 |
| 3.20 | 1.0045 | 1.0070 | 1.0050 | .448 | .463 | .456 |
| 3.40 | 1.0048 | 1.0075 | 1.0053 | .461 | .476 | .471 |
| 3.60 | 1.0051 | 1.0080 | 1.0056 | .472 | .488 | .483 |
| 3.80 | 1.0054 | 1.0084 | 1.0058 | .483 | .499 | .495 |
| 4.00 | 1.0057 | 1.0088 | 1.0061 | .493 | .510 | .506 |
| 4.50 | 1.0062 | 1.0096 | 1.0066 | .513 | .531 | .529 |
| 5.00 | 1.0066 | 1.0102 | 1.0070 | .529 | .548 | .547 |
| 5.50 | 1.0069 | 1.0108 | 1.0074 | .541 | .560 | .561 |
| 6.00 | 1.0072 | 1.0112 | 1.0076 | .551 | .571 | .572 |
| 6.50 | 1.0074 | 1.0115 | 1.0079 | .559 | .579 | .581 |
| 7.00 | 1.0076 | 1.0118 | 1.0081 | .565 | .585 | .588 |
| 7.50 | 1.0077 | 1.0120 | 1.0082 | .571 | .591 | .595 |
| 8.00 | 1.0078 | 1.0122 | 1.0084 | .575 | .596 | .600 |
| 8.50 | 1.0080 | 1.0124 | 1.0085 | .579 | .599 | .604 |
| 9.00 | 1.0080 | 1.0125 | 1.0086 | .582 | .603 | .607 |
| 9.50 | 1.0081 | 1.0126 | 1.0087 | .585 | .605 | .611 |
| 10.00 | 1.0082 | 1.0127 | 1.0088 | .587 | .608 | .613 |
| 11.00 | 1.0083 | 1.0129 | 1.0089 | .591 | .612 | .618 |
| 12.00 | 1.0084 | 1.0130 | 1.0090 | .594 | .615 | .621 |
| 13.00 | 1.0084 | 1.0131 | 1.0091 | .596 | .617 | .624 |
| 14.00 | 1.0085 | 1.0132 | 1.0092 | .598 | .619 | .627 |
| 15.00 | 1.0085 | 1.0133 | 1.0092 | .600 | .621 | .628 |
| 16.00 | 1.0086 | 1.0133 | 1.0093 | .601 | .622 | .630 |
| 17.00 | 1.0086 | 1.0134 | 1.0093 | .602 | .623 | .631 |
| 18.00 | 1.0086 | 1.0134 | 1.0093 | .603 | .624 | .632 |
| 19.00 | 1.0086 | 1.0134 | 1.0094 | .603 | .625 | .633 |
| 20.00 | 1.0087 | 1.0135 | 1.0094 | .604 | .625 | .633 |
| 22.00 | 1.0087 | 1.0135 | 1.0094 | .605 | .626 | .634 |
| 24.00 | 1.0087 | 1.0135 | 1.0094 | .605 | .627 | .635 |
| 26.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .635 |
| 28.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 30.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 32.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 34.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 36.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 38.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 40.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 45.00 | 1.0087 | 1.0135 | 1.0095 | .606 | .627 | .636 |
| 50.00 | 1.0086 | 1.0134 | 1.0095 | .605 | .627 | .636 |
| 55.00 | 1.0086 | 1.0134 | 1.0095 | .605 | .626 | .635 |
| 60.00 | 1.0086 | 1.0134 | 1.0095 | .605 | .626 | .635 |
| 65.00 | 1.0086 | 1.0134 | 1.0095 | .605 | .626 | .635 |
| 70.00 | 1.0086 | 1.0134 | 1.0095 | .604 | .626 | .634 |
| 75.00 | 1.0086 | 1.0134 | 1.0095 | .604 | .625 | .634 |
| 80.00 | 1.0086 | 1.0133 | 1.0095 | .604 | .625 | .634 |
| 85.00 | 1.0086 | 1.0133 | 1.0095 | .604 | .625 | .633 |
| 90.00 | 1.0086 | 1.0133 | 1.0095 | .603 | .625 | .633 |
| 95.00 | 1.0085 | 1.0133 | 1.0095 | .603 | .624 | .633 |
| 100.00 | 1.0085 | 1.0133 | 1.0095 | .603 | .624 | .633 |
| 125.00 | 1.0085 | 1.0132 | 1.0095 | .602 | .623 | .632 |
| 150.00 | 1.0085 | 1.0132 | 1.0095 | .601 | .622 | .631 |
| 175.00 | 1.0085 | 1.0132 | 1.0094 | .601 | .622 | .630 |
| 200.00 | 1.0084 | 1.0131 | 1.0094 | .600 | .621 | .630 |
Table 6c.
Tables of additional functions of the collision integrals (18, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0018 | 1.0028 | 1.0019 | .289 | .293 | .295 |
| .15 | 1.0019 | 1.0030 | 1.0018 | .280 | .283 | .286 |
| .20 | 1.0020 | 1.0031 | 1.0015 | .260 | .262 | .267 |
| .25 | 1.0019 | 1.0030 | 1.0012 | .231 | .232 | .238 |
| .30 | 1.0016 | 1.0025 | 1.0009 | .197 | .197 | .203 |
| .35 | 1.0013 | 1.0019 | 1.0006 | .165 | .164 | .170 |
| .40 | 1.0009 | 1.0014 | 1.0004 | .138 | .138 | .142 |
| .45 | 1.0006 | 1.0010 | 1.0003 | .116 | .116 | .119 |
| .50 | 1.0004 | 1.0007 | 1.0002 | .101 | .101 | .103 |
| .55 | 1.0003 | 1.0005 | 1.0002 | .092 | .092 | .093 |
| .60 | 1.0002 | 1.0003 | 1.0002 | .087 | .087 | .088 |
| .65 | 1.0002 | 1.0002 | 1.0002 | .085 | .085 | .085 |
| .70 | 1.0001 | 1.0002 | 1.0002 | .088 | .088 | .088 |
| .75 | 1.0001 | 1.0002 | 1.0002 | .094 | .095 | .094 |
| .80 | 1.0001 | 1.0002 | 1.0002 | .101 | .102 | .101 |
| .85 | 1.0001 | 1.0002 | 1.0003 | .109 | .110 | .109 |
| .90 | 1.0002 | 1.0002 | 1.0003 | .117 | .119 | .117 |
| .95 | 1.0002 | 1.0003 | 1.0004 | .128 | .130 | .128 |
| 1.00 | 1.0002 | 1.0003 | 1.0005 | .140 | .142 | .140 |
| 1.10 | 1.0003 | 1.0005 | 1.0007 | .166 | .169 | .165 |
| 1.20 | 1.0004 | 1.0007 | 1.0009 | .190 | .193 | .189 |
| 1.30 | 1.0006 | 1.0010 | 1.0011 | .212 | .217 | .211 |
| 1.40 | 1.0008 | 1.0013 | 1.0013 | .235 | .240 | .234 |
| 1.50 | 1.0011 | 1.0016 | 1.0016 | .258 | .264 | .257 |
| 1.60 | 1.0013 | 1.0020 | 1.0019 | .280 | .287 | .280 |
| 1.70 | 1.0015 | 1.0024 | 1.0022 | .301 | .309 | .301 |
| 1.80 | 1.0018 | 1.0028 | 1.0025 | .320 | .329 | .321 |
| 1.90 | 1.0021 | 1.0032 | 1.0028 | .337 | .347 | .338 |
| 2.00 | 1.0023 | 1.0036 | 1.0030 | .352 | .363 | .354 |
| 2.20 | 1.0029 | 1.0045 | 1.0035 | .380 | .393 | .384 |
| 2.40 | 1.0034 | 1.0052 | 1.0041 | .407 | .420 | .411 |
| 2.60 | 1.0038 | 1.0060 | 1.0045 | .430 | .444 | .436 |
| 2.80 | 1.0043 | 1.0066 | 1.0050 | .450 | .465 | .458 |
| 3.00 | 1.0047 | 1.0073 | 1.0054 | .467 | .484 | .477 |
| 3.20 | 1.0050 | 1.0078 | 1.0057 | .483 | .500 | .494 |
| 3.40 | 1.0054 | 1.0084 | 1.0061 | .496 | .514 | .508 |
| 3.60 | 1.0057 | 1.0088 | 1.0063 | .507 | .526 | .521 |
| 3.80 | 1.0060 | 1.0093 | 1.0066 | .517 | .536 | .532 |
| 4.00 | 1.0062 | 1.0097 | 1.0068 | .526 | .545 | .542 |
| 4.50 | 1.0068 | 1.0105 | 1.0074 | .546 | .566 | .564 |
| 5.00 | 1.0072 | 1.0112 | 1.0078 | .562 | .582 | .582 |
| 5.50 | 1.0075 | 1.0117 | 1.0082 | .574 | .595 | .596 |
| 6.00 | 1.0078 | 1.0122 | 1.0085 | .584 | .605 | .607 |
| 6.50 | 1.0080 | 1.0125 | 1.0087 | .592 | .614 | .616 |
| 7.00 | 1.0082 | 1.0128 | 1.0089 | .598 | .620 | .624 |
| 7.50 | 1.0084 | 1.0131 | 1.0091 | .603 | .626 | .630 |
| 8.00 | 1.0085 | 1.0133 | 1.0092 | .608 | .631 | .635 |
| 8.50 | 1.0086 | 1.0134 | 1.0094 | .612 | .635 | .640 |
| 9.00 | 1.0087 | 1.0136 | 1.0095 | .615 | .638 | .644 |
| 9.50 | 1.0088 | 1.0137 | 1.0096 | .618 | .641 | .647 |
| 10.00 | 1.0089 | 1.0138 | 1.0097 | .620 | .644 | .650 |
| 11.00 | 1.0090 | 1.0140 | 1.0098 | .624 | .648 | .654 |
| 12.00 | 1.0091 | 1.0141 | 1.0099 | .627 | .651 | .658 |
| 13.00 | 1.0092 | 1.0142 | 1.0100 | .630 | .654 | .661 |
| 14.00 | 1.0092 | 1.0143 | 1.0101 | .632 | .656 | .664 |
| 15.00 | 1.0093 | 1.0144 | 1.0101 | .634 | .658 | .666 |
| 16.00 | 1.0093 | 1.0145 | 1.0102 | .635 | .659 | .667 |
| 17.00 | 1.0093 | 1.0145 | 1.0102 | .636 | .660 | .669 |
| 18.00 | 1.0094 | 1.0145 | 1.0103 | .637 | .661 | .670 |
| 19.00 | 1.0094 | 1.0146 | 1.0103 | .638 | .662 | .671 |
| 20.00 | 1.0094 | 1.0146 | 1.0103 | .639 | .663 | .671 |
| 22.00 | 1.0094 | 1.0147 | 1.0104 | .640 | .664 | .673 |
| 24.00 | 1.0094 | 1.0147 | 1.0104 | .640 | .665 | .674 |
| 26.00 | 1.0095 | 1.0147 | 1.0104 | .641 | .665 | .674 |
| 28.00 | 1.0095 | 1.0147 | 1.0105 | .641 | .666 | .675 |
| 30.00 | 1.0095 | 1.0147 | 1.0105 | .642 | .666 | .675 |
| 32.00 | 1.0095 | 1.0147 | 1.0105 | .642 | .666 | .676 |
| 34.00 | 1.0095 | 1.0147 | 1.0105 | .642 | .667 | .676 |
| 36.00 | 1.0095 | 1.0148 | 1.0105 | .642 | .667 | .676 |
| 38.00 | 1.0095 | 1.0148 | 1.0105 | .643 | .667 | .676 |
| 40.00 | 1.0095 | 1.0148 | 1.0105 | .643 | .667 | .676 |
| 45.00 | 1.0095 | 1.0148 | 1.0105 | .643 | .667 | .677 |
| 50.00 | 1.0095 | 1.0147 | 1.0106 | .643 | .667 | .677 |
| 55.00 | 1.0095 | 1.0147 | 1.0106 | .643 | .667 | .677 |
| 60.00 | 1.0095 | 1.0147 | 1.0106 | .643 | .667 | .677 |
| 65.00 | 1.0095 | 1.0147 | 1.0106 | .643 | .667 | .677 |
| 70.00 | 1.0095 | 1.0147 | 1.0106 | .643 | .667 | .676 |
| 75.00 | 1.0095 | 1.0147 | 1.0106 | .643 | .667 | .676 |
| 80.00 | 1.0094 | 1.0147 | 1.0106 | .643 | .667 | .676 |
| 85.00 | 1.0094 | 1.0147 | 1.0106 | .642 | .667 | .676 |
| 90.00 | 1.0094 | 1.0147 | 1.0106 | .642 | .667 | .676 |
| 95.00 | 1.0094 | 1.0147 | 1.0106 | .642 | .666 | .676 |
| 100.00 | 1.0094 | 1.0147 | 1.0106 | .642 | .666 | .676 |
| 125.00 | 1.0094 | 1.0146 | 1.0106 | .642 | .666 | .676 |
| 150.00 | 1.0094 | 1.0146 | 1.0106 | .642 | .666 | .675 |
| 175.00 | 1.0094 | 1.0146 | 1.0106 | .641 | .665 | .675 |
| 200.00 | ‘1.0094 | 1.0146 | 1.0106 | .641 | .665 | .675 |
Table 7c.
Tables of additional functions of the collision integrals (21, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0018 | 1.0028 | 1.0019 | .289 | .292 | .294 |
| .15 | 1.0019 | 1.0030 | 1.0018 | .283 | .286 | .289 |
| .20 | 1.0020 | 1.0031 | 1.0016 | .269 | .272 | .276 |
| .25 | 1.0020 | 1.0031 | 1.0014 | .247 | .248 | .254 |
| .30 | 1.0018 | 1.0028 | 1.0011 | .220 | .221 | .227 |
| .35 | 1.0015 | 1.0023 | 1.0009 | .194 | .195 | .200 |
| .40 | 1.0011 | 1.0018 | 1.0007 | .171 | .171 | .176 |
| .45 | 1.0009 | 1.0013 | 1.0006 | .153 | .153 | .157 |
| .50 | 1.0006 | 1.0010 | 1.0005 | .140 | .140 | .142 |
| .55 | 1.0005 | 1.0008 | 1.0004 | .132 | .132 | .134 |
| .60 | 1.0004 | 1.0006 | 1.0004 | .128 | .129 | .130 |
| .65 | 1.0003 | 1.0005 | 1.0004 | .127 | .128 | .128 |
| .70 | 1.0003 | 1.0005 | 1.0004 | .129 | .130 | .130 |
| .75 | 1.0003 | 1.0004 | 1.0004 | .134 | .136 | .135 |
| .80 | 1.0003 | 1.0004 | 1.0005 | .142 | .144 | .142 |
| .85 | 1.0003 | 1.0004 | 1.0006 | .151 | .153 | .151 |
| .90 | 1.0003 | 1.0005 | 1.0006 | .159 | .161 | .159 |
| .95 | 1.0003 | 1.0005 | 1.0007 | .168 | .171 | .168 |
| 1.00 | 1.0004 | 1.0006 | 1.0008 | .179 | .182 | .179 |
| 1.10 | 1.0005 | 1.0008 | 1.0010 | .203 | .207 | .202 |
| 1.20 | 1.0007 | 1.0010 | 1.0013 | .227 | .232 | .227 |
| 1.30 | 1.0009 | 1.0013 | 1.0015 | .249 | .255 | .249 |
| 1.40 | 1.0011 | 1.0017 | 1.0018 | .270 | .277 | .270 |
| 1.50 | 1.0014 | 1.0021 | 1.0021 | .292 | .299 | .292 |
| 1.60 | 1.0016 | 1.0025 | 1.0024 | .313 | .322 | .314 |
| 1.70 | 1.0019 | 1.0029 | 1.0027 | .333 | .343 | .334 |
| 1.80 | 1.0022 | 1.0034 | 1.0030 | .352 | .362 | .354 |
| 1.90 | 1.0024 | 1.0038 | 1.0033 | .369 | .380 | .371 |
| 2.00 | 1.0027 | 1.0042 | 1.0036 | .385 | .397 | .388 |
| 2.20 | 1.0033 | 1.0051 | 1.0041 | .412 | .425 | .416 |
| 2.40 | 1.0038 | 1.0059 | 1.0046 | .436 | .451 | .443 |
| 2.60 | 1.0043 | 1.0067 | 1.0051 | .458 | .475 | .467 |
| 2.80 | 1.0047 | 1.0074 | 1.0056 | .478 | .495 | .488 |
| 3.00 | 1.0051 | 1.0080 | 1.0060 | .495 | .513 | .507 |
| 3.20 | 1.0055 | 1.0086 | 1.0064 | .510 | .529 | .523 |
| 3.40 | 1.0059 | 1.0091 | 1.0067 | .524 | .543 | .538 |
| 3.60 | 1.0062 | 1.0096 | 1.0070 | .535 | .555 | .551 |
| 3.80 | 1.0065 | 1.0100 | 1.0073 | .545 | .565 | .562 |
| 4.00 | 1.0067 | 1.0104 | 1.0075 | .554 | .575 | .572 |
| 4.50 | 1.0073 | 1.0113 | 1.0080 | .572 | .594 | .593 |
| 5.00 | 1.0077 | 1.0120 | 1.0085 | .588 | .610 | .610 |
| 5.50 | 1.0080 | 1.0125 | 1.0088 | .600 | .623 | .624 |
| 6.00 | 1.0083 | 1.0129 | 1.0091 | .609 | .633 | .635 |
| 6.50 | 1.0085 | 1.0133 | 1.0094 | .617 | .641 | .644 |
| 7.00 | 1.0087 | 1.0136 | 1.0096 | .624 | .648 | .652 |
| 7.50 | 1.0089 | 1.0139 | 1.0098 | .629 | .654 | .658 |
| 8.00 | 1.0090 | 1.0141 | 1.0099 | .634 | .659 | .664 |
| 8.50 | 1.0092 | 1.0143 | 1.0101 | .638 | .663 | .668 |
| 9.00 | 1.0093 | 1.0144 | 1.0102 | .641 | .666 | .672 |
| 9.50 | 1.0094 | 1.0146 | 1.0103 | .644 | .669 | .675 |
| 10.00 | 1.0094 | 1.0147 | 1.0104 | .646 | .672 | .678 |
| 11.00 | 1.0096 | 1.0149 | 1.0105 | .650 | .676 | .683 |
| 12.00 | 1.0097 | 1.0150 | 1.0106 | .654 | .679 | .687 |
| 13.00 | 1.0097 | 1.0151 | 1.0107 | .656 | .682 | .690 |
| 14.00 | 1.0098 | 1.0152 | 1.0108 | .658 | .684 | .693 |
| 15.00 | 1.0098 | 1.0153 | 1.0109 | .660 | .686 | .695 |
| 16.00 | 1.0099 | 1.0154 | 1.0109 | .662 | .688 | .697 |
| 17.00 | 1.0099 | 1.0154 | 1.0110 | .663 | .689 | .698 |
| 18.00 | 1.0099 | 1.0155 | 1.0110 | .664 | .690 | .699 |
| 19.00 | 1.0100 | 1.0155 | 1.0111 | .665 | .691 | .700 |
| 20.00 | 1.0100 | 1.0155 | 1.0111 | .666 | .692 | .701 |
| 22.00 | 1.0100 | 1.0156 | 1.0111 | .667 | .693 | .703 |
| 24.00 | 1.0100 | 1.0156 | 1.0112 | .668 | .694 | .704 |
| 26.00 | 1.0101 | 1.0157 | 1.0112 | .669 | .695 | .705 |
| 28.00 | 1.0101 | 1.0157 | 1.0112 | .669 | .696 | .706 |
| 30.00 | 1.0101 | 1.0157 | 1.0113 | .670 | .696 | .706 |
| 32.00 | 1.0101 | 1.0157 | 1.0113 | .670 | .697 | .707 |
| 34.00 | 1.0101 | 1.0157 | 1.0113 | .670 | .697 | .707 |
| 36.00 | 1.0101 | 1.0157 | 1.0113 | .671 | .697 | .707 |
| 38.00 | 1.0101 | 1.0157 | 1.0113 | .671 | .697 | .707 |
| 40.00 | 1.0101 | 1.0157 | 1.0113 | .671 | .698 | .708 |
| 45.00 | 1.0101 | 1.0157 | 1.0113 | .671 | .698 | .708 |
| 50.00 | 1.0101 | 1.0158 | 1.0114 | .672 | .698 | .708 |
| 55.00 | 1.0101 | 1.0158 | 1.0114 | .672 | .698 | .709 |
| 60.00 | 1.0101 | 1.0158 | 1.0114 | .672 | .699 | .709 |
| 65.00 | 1.0101 | 1.0158 | 1.0114 | .672 | .699 | .709 |
| 70.00 | 1.0101 | 1.0158 | 1.0114 | .672 | .699 | .709 |
| 75.00 | 1.0101 | 1.0158 | 1.0114 | .672 | .699 | .709 |
| 80.00 | 1.0101 | 1.0158 | 1.0114 | .672 | .699 | .709 |
| 85.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .699 | .709 |
| 90.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .699 | .709 |
| 95.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .699 | .709 |
| 100.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .699 | .709 |
| 125.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .699 | .709 |
| 150.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .699 | .709 |
| 175.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .698 | .709 |
| 200.00 | 1.0101 | 1.0157 | 1.0114 | .672 | .698 | .709 |
Table 8c.
Tables of additional functions of the collision integrals (24, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0018 | 1.0029 | 1.0019 | .288 | .292 | .294 |
| .15 | 1.0019 | 1.0030 | 1.0018 | .285 | .288 | .290 |
| .20 | 1.0020 | 1.0031 | 1.0017 | .275 | .278 | .281 |
| .25 | 1.0020 | 1.0031 | 1.0015 | .258 | .260 | .265 |
| .30 | 1.0019 | 1.0029 | 1.0013 | .237 | .238 | .243 |
| .35 | 1.0016 | 1.0025 | 1.0011 | .215 | .216 | .221 |
| .40 | 1.0013 | 1.0020 | 1.0009 | .195 | .196 | .200 |
| .45 | 1.0011 | 1.0017 | 1.0008 | .180 | .181 | .184 |
| .50 | 1.0008 | 1.0013 | 1.0007 | .169 | .169 | .172 |
| .55 | 1.0007 | 1.0011 | 1.0006 | .162 | .163 | .164 |
| .60 | 1.0006 | 1.0009 | 1.0006 | .159 | .160 | .161 |
| .65 | 1.0005 | 1.0008 | 1.0006 | .159 | .161 | .161 |
| .70 | 1.0004 | 1.0007 | 1.0006 | .161 | .163 | .162 |
| .75 | 1.0004 | 1.0007 | 1.0007 | .166 | .168 | .167 |
| .80 | 1.0004 | 1.0007 | 1.0007 | .173 | .176 | .174 |
| .85 | 1.0004 | 1.0007 | 1.0008 | .182 | .185 | .183 |
| .90 | 1.0005 | 1.0007 | 1.0009 | .191 | .194 | .192 |
| .95 | 1.0005 | 1.0008 | 1.0010 | .200 | .204 | .200 |
| 1.00 | 1.0006 | 1.0009 | 1.0011 | .210 | .214 | .210 |
| 1.10 | 1.0007 | 1.0011 | 1.0013 | .232 | .237 | .233 |
| 1.20 | 1.0009 | 1.0014 | 1.0016 | .256 | .262 | .256 |
| 1.30 | 1.0011 | 1.0017 | 1.0019 | .279 | .286 | .280 |
| 1.40 | 1.0014 | 1.0021 | 1.0022 | .299 | .307 | .300 |
| 1.50 | 1.0016 | 1.0025 | 1.0025 | .319 | .328 | .320 |
| 1.60 | 1.0019 | 1.0030 | 1.0028 | .339 | .349 | .341 |
| 1.70 | 1.0022 | 1.0034 | 1.0031 | .359 | .370 | .361 |
| 1.80 | 1.0025 | 1.0039 | 1.0034 | .377 | .389 | .380 |
| 1.90 | 1.0028 | 1.0043 | 1.0038 | .394 | .407 | .398 |
| 2.00 | 1.0031 | 1.0048 | 1.0041 | .410 | .423 | .414 |
| 2.20 | 1.0036 | 1.0056 | 1.0046 | .437 | .452 | .443 |
| 2.40 | 1.0042 | 1.0065 | 1.0051 | .460 | .476 | .468 |
| 2.60 | 1.0047 | 1.0073 | 1.0056 | .481 | .499 | .491 |
| 2.80 | 1.0051 | 1.0079 | 1.0061 | .500 | .519 | .512 |
| 3.00 | 1.0055 | 1.0086 | 1.0065 | .517 | .537 | .530 |
| 3.20 | 1.0059 | 1.0092 | 1.0069 | .532 | .552 | .547 |
| 3.40 | 1.0062 | 1.0097 | 1.0072 | .545 | .566 | .561 |
| 3.60 | 1.0065 | 1.0102 | 1.0075 | .556 | .578 | .574 |
| 3.80 | 1.0068 | 1.0106 | 1.0078 | .567 | .589 | .585 |
| 4.00 | 1.0071 | 1.0110 | 1.0080 | .575 | .598 | .595 |
| 4.50 | 1.0076 | 1.0119 | 1.0086 | .593 | .617 | .615 |
| 5.00 | 1.0081 | 1.0126 | 1.0090 | .608 | .632 | .632 |
| 5.50 | 1.0084 | 1.0131 | 1.0094 | .620 | .645 | .646 |
| 6.00 | 1.0087 | 1.0136 | 1.0097 | .630 | .655 | .658 |
| 6.50 | 1.0090 | 1.0139 | 1.0099 | .638 | .663 | .667 |
| 7.00 | 1.0092 | 1.0142 | 1.0102 | .644 | .670 | .674 |
| 7.50 | 1.0093 | 1.0145 | 1.0103 | .650 | .676 | .681 |
| 8.00 | 1.0095 | 1.0147 | 1.0105 | .654 | .681 | .686 |
| 8.50 | 1.0096 | 1.0149 | 1.0106 | .658 | .685 | .691 |
| 9.00 | 1.0097 | 1.0151 | 1.0107 | .662 | .688 | .695 |
| 9.50 | 1.0098 | 1.0152 | 1.0108 | .664 | .692 | .698 |
| 10.00 | 1.0099 | 1.0153 | 1.0109 | .667 | .694 | .701 |
| 11.00 | 1.0100 | 1.0155 | 1.0111 | .671 | .699 | .706 |
| 12.00 | 1.0101 | 1.0157 | 1.0112 | .674 | .702 | .710 |
| 13.00 | 1.0102 | 1.0158 | 1.0113 | .677 | .705 | .713 |
| 14.00 | 1.0102 | 1.0159 | 1.0114 | .679 | .707 | .716 |
| 15.00 | 1.0103 | 1.0160 | 1.0115 | .681 | .709 | .718 |
| 16.00 | 1.0103 | 1.0161 | 1.0115 | .683 | .711 | .720 |
| 17.00 | 1.0104 | 1.0162 | 1.0116 | .684 | .712 | .722 |
| 18.00 | 1.0104 | 1.0162 | 1.0116 | .685 | .714 | .723 |
| 19.00 | 1.0104 | 1.0162 | 1.0117 | .686 | .715 | .724 |
| 20.00 | 1.0105 | 1.0163 | 1.0117 | .687 | .715 | .725 |
| 22.00 | 1.0105 | 1.0163 | 1.0118 | .689 | .717 | .727 |
| 24.00 | 1.0105 | 1.0164 | 1.0118 | .690 | .718 | .728 |
| 26.00 | 1.0106 | 1.0164 | 1.0118 | .691 | .719 | .729 |
| 28.00 | 1.0106 | 1.0165 | 1.0119 | .691 | .720 | .730 |
| 30.00 | 1.0106 | 1.0165 | 1.0119 | .692 | .720 | .731 |
| 32.00 | 1.0106 | 1.0165 | 1.0119 | .692 | .721 | .731 |
| 34.00 | 1.0106 | 1.0165 | 1.0119 | .693 | .721 | .732 |
| 36.00 | 1.0106 | 1.0165 | 1.0119 | .693 | .722 | .732 |
| 38.00 | 1.0106 | 1.0165 | 1.0120 | .693 | .722 | .732 |
| 40.00 | 1.0106 | 1.0165 | 1.0120 | .694 | .722 | .733 |
| 45.00 | 1.0106 | 1.0166 | 1.0120 | .694 | .723 | .733 |
| 50.00 | 1.0106 | 1.0166 | 1.0120 | .694 | .723 | .734 |
| 55.00 | 1.0107 | 1.0166 | 1.0120 | .695 | .723 | .734 |
| 60.00 | 1.0107 | 1.0166 | 1.0120 | .695 | .724 | .734 |
| 65.00 | 1.0107 | 1.0166 | 1.0120 | .695 | .724 | .734 |
| 70.00 | 1.0107 | 1.0166 | 1.0121 | .695 | .724 | .735 |
| 75.00 | 1.0107 | 1.0166 | 1.0121 | .695 | .724 | .735 |
| 80.00 | 1.0107 | 1.0166 | 1.0121 | .695 | .724 | .735 |
| 85.00 | 1.0107 | 1.0166 | 1.0121 | .695 | .724 | .735 |
| 90.00 | 1.0107 | 1.0166 | 1.0121 | .695 | .724 | .735 |
| 95.00 | 1.0107 | 1.0166 | 1.0121 | .696 | .724 | .735 |
| 100.00 | 1.0107 | 1.0166 | 1.0121 | .696 | .724 | .735 |
| 125.00 | 1.0107 | 1.0166 | 1.0121 | .696 | .724 | .735 |
| 150.00 | 1.0107 | 1.0166 | 1.0121 | .696 | .724 | .735 |
| 175.00 | 1.0107 | 1.0166 | 1.0121 | .696 | .724 | .735 |
| 200.00 | 1.0107 | 1.0166 | 1.0121 | .696 | .724 | .735 |
Table 9c.
Tables of additional functions of the collision integrals (30, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0018 | 1.0029 | 1.0019 | .288 | .292 | .294 |
| .15 | 1.0019 | 1.0030 | 1.0019 | .287 | .291 | .293 |
| .20 | 1.0020 | 1.0031 | 1.0018 | .282 | .285 | .288 |
| .25 | 1.0020 | 1.0032 | 1.0017 | .271 | .274 | .278 |
| .30 | 1.0020 | 1.0030 | 1.0015 | .257 | .259 | .264 |
| .35 | 1.0018 | 1.0028 | 1.0014 | .241 | .243 | .248 |
| .40 | 1.0015 | 1.0024 | 1.0012 | .228 | .229 | .233 |
| .45 | 1.0013 | 1.0021 | 1.0011 | .216 | .218 | .221 |
| .50 | 1.0011 | 1.0018 | 1.0010 | .208 | .210 | .212 |
| .55 | 1.0010 | 1.0015 | 1.0010 | .204 | .205 | .207 |
| .60 | 1.0009 | 1.0013 | 1.0010 | .202 | .204 | .205 |
| .65 | 1.0008 | 1.0012 | 1.0010 | .204 | .206 | .206 |
| .70 | 1.0007 | 1.0011 | 1.0010 | .207 | .210 | .209 |
| .75 | 1.0007 | 1.0011 | 1.0011 | .212 | .215 | .213 |
| .80 | 1.0007 | 1.0011 | 1.0011 | .219 | .222 | .220 |
| .85 | 1.0008 | 1.0012 | 1.0012 | .227 | .231 | .228 |
| .90 | 1.0008 | 1.0012 | 1.0014 | .237 | .241 | .238 |
| .95 | 1.0008 | 1.0013 | 1.0015 | .247 | .252 | .248 |
| 1.00 | 1.0009 | 1.0014 | 1.0016 | .256 | .262 | .257 |
| 1.10 | 1.0011 | 1.0017 | 1.0018 | .277 | .283 | .278 |
| 1.20 | 1.0013 | 1.0020 | 1.0021 | .299 | .306 | .300 |
| 1.30 | 1.0015 | 1.0023 | 1.0025 | .321 | .330 | .323 |
| 1.40 | 1.0017 | 1.0027 | 1.0028 | .342 | .352 | .344 |
| 1.50 | 1.0020 | 1.0032 | 1.0031 | .361 | .372 | .364 |
| 1.60 | 1.0024 | 1.0037 | 1.0034 | .379 | .391 | .382 |
| 1.70 | 1.0027 | 1.0041 | 1.0038 | .397 | .410 | .401 |
| 1.80 | 1.0030 | 1.0046 | 1.0041 | .415 | .428 | .419 |
| 1.90 | 1.0033 | 1.0051 | 1.0045 | .431 | .446 | .436 |
| 2.00 | 1.0036 | 1.0055 | 1.0048 | .447 | .462 | .453 |
| 2.20 | 1.0041 | 1.0065 | 1.0054 | .474 | .491 | .482 |
| 2.40 | 1.0047 | 1.0073 | 1.0059 | .496 | .515 | .506 |
| 2.60 | 1.0052 | 1.0081 | 1.0064 | .516 | .536 | .528 |
| 2.80 | 1.0057 | 1.0089 | 1.0068 | .534 | .555 | .548 |
| 3.00 | 1.0061 | 1.0095 | 1.0073 | .551 | .572 | .566 |
| 3.20 | 1.0065 | 1.0101 | 1.0077 | .565 | .588 | .582 |
| 3.40 | 1.0069 | 1.0107 | 1.0080 | .578 | .601 | .596 |
| 3.60 | 1.0072 | 1.0112 | 1.0083 | .589 | .613 | .609 |
| 3.80 | 1.0075 | 1.0116 | 1.0086 | .599 | .623 | .620 |
| 4.00 | 1.0077 | 1.0120 | 1.0089 | .608 | .633 | .630 |
| 4.50 | 1.0083 | 1.0129 | 1.0094 | .626 | .652 | .651 |
| 5.00 | 1.0087 | 1.0136 | 1.0099 | .640 | .666 | .667 |
| 5.50 | 1.0091 | 1.0141 | 1.0102 | .652 | .679 | .681 |
| 6.00 | 1.0094 | 1.0146 | 1.0105 | .661 | .689 | .692 |
| 6.50 | 1.0096 | 1.0149 | 1.0108 | .669 | .697 | .701 |
| 7.00 | 1.0098 | 1.0153 | 1.0110 | .675 | .704 | .709 |
| 7.50 | 1.0100 | 1.0155 | 1.0112 | .681 | .710 | .715 |
| 8.00 | 1.0101 | 1.0157 | 1.0114 | .685 | .714 | .720 |
| 8.50 | 1.0102 | 1.0159 | 1.0115 | .689 | .719 | .725 |
| 9.00 | 1.0104 | 1.0161 | 1.0116 | .693 | .722 | .729 |
| 9.50 | 1.0104 | 1.0162 | 1.0117 | .696 | .725 | .732 |
| 10.00 | 1.0105 | 1.0164 | 1.0118 | .698 | .728 | .736 |
| 11.00 | 1.0107 | 1.0166 | 1.0120 | .702 | .733 | .741 |
| 12.00 | 1.0108 | 1.0168 | 1.0121 | .706 | .736 | .745 |
| 13.00 | 1.0109 | 1.0169 | 1.0122 | .709 | .739 | .748 |
| 14.00 | 1.0109 | 1.0170 | 1.0123 | .711 | .742 | .751 |
| 15.00 | 1.0110 | 1.0171 | 1.0124 | .713 | .744 | .753 |
| 16.00 | 1.0110 | 1.0172 | 1.0124 | .715 | .745 | .755 |
| 17.00 | 1.0111 | 1.0172 | 1.0125 | .716 | .747 | .757 |
| 18.00 | 1.0111 | 1.0173 | 1.0125 | .717 | .748 | .758 |
| 19.00 | 1.0112 | 1.0174 | 1.0126 | .718 | .749 | .760 |
| 20.00 | 1.0112 | 1.0174 | 1.0126 | .719 | .750 | .761 |
| 22.00 | 1.0112 | 1.0175 | 1.0127 | .721 | .752 | .763 |
| 24.00 | 1.0113 | 1.0175 | 1.0127 | .722 | .753 | .764 |
| 26.00 | 1.0113 | 1.0176 | 1.0128 | .723 | .754 | .765 |
| 28.00 | 1.0113 | 1.0176 | 1.0128 | .724 | .755 | .766 |
| 30.00 | 1.0113 | 1.0176 | 1.0128 | .725 | .756 | .767 |
| 32.00 | 1.0113 | 1.0176 | 1.0129 | .725 | .757 | .768 |
| 34.00 | 1.0114 | 1.0177 | 1.0129 | .726 | .757 | .768 |
| 36.00 | 1.0114 | 1.0177 | 1.0129 | .726 | .758 | .769 |
| 38.00 | 1.0114 | 1.0177 | 1.0129 | .726 | .758 | .769 |
| 40.00 | 1.0114 | 1.0177 | 1.0129 | .727 | .758 | .770 |
| 45.00 | 1.0114 | 1.0177 | 1.0130 | .727 | .759 | .770 |
| 50.00 | 1.0114 | 1.0178 | 1.0130 | .728 | .760 | .771 |
| 55.00 | 1.0114 | 1.0178 | 1.0130 | .728 | .760 | .772 |
| 60.00 | 1.0114 | 1.0178 | 1.0130 | .729 | .760 | .772 |
| 65.00 | 1.0115 | 1.0178 | 1.0130 | .729 | .761 | .772 |
| 70.00 | 1.0115 | 1.0178 | 1.0130 | .729 | .761 | .773 |
| 75.00 | 1.0115 | 1.0178 | 1.0131 | .729 | .761 | .773 |
| 80.00 | 1.0115 | 1.0178 | 1.0131 | .730 | .761 | .773 |
| 85.00 | 1.0115 | 1.0178 | 1.0131 | .730 | .761 | .773 |
| 90.00 | 1.0115 | 1.0178 | 1.0131 | .730 | .762 | .773 |
| 95.00 | 1.0115 | 1.0179 | 1.0131 | .730 | .762 | .773 |
| 100.00 | 1.0115 | 1.0179 | 1.0131 | .730 | .762 | .774 |
| 125.00 | 1.0115 | 1.0179 | 1.0131 | .730 | .762 | .774 |
| 150.00 | 1.0115 | 1.0179 | 1.0131 | .731 | .762 | .774 |
| 175.00 | 1.0115 | 1.0179 | 1.0131 | .731 | .763 | .774 |
| 200.00 | 1.0115 | 1.0179 | 1.0131 | .731 | .763 | .774 |
Table 10c.
Tables of additional functions of the collision integrals (40, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0019 | 1.0029 | 1.0019 | .290 | .294 | .295 |
| .15 | 1.0019 | 1.0030 | 1.0019 | .290 | .294 | .296 |
| .20 | 1.0020 | 1.0031 | 1.0019 | .289 | .293 | .295 |
| .25 | 1.0021 | 1.0032 | 1.0019 | .283 | .287 | .290 |
| .30 | 1.0020 | 1.0032 | 1.0018 | .275 | .278 | .282 |
| .35 | 1.0019 | 1.0030 | 1.0017 | .266 | .269 | .273 |
| .40 | 1.0018 | 1.0027 | 1.0016 | .258 | .261 | .264 |
| .45 | 1.0016 | 1.0025 | 1.0015 | .251 | .254 | .256 |
| .50 | 1.0014 | 1.0022 | 1.0014 | .247 | .250 | .252 |
| .55 | 1.0013 | 1.0020 | 1.0014 | .245 | .248 | .249 |
| .60 | 1.0012 | 1.0019 | 1.0014 | .246 | .249 | .249 |
| .65 | 1.0011 | 1.0018 | 1.0015 | .249 | .252 | .252 |
| .70 | 1.0011 | 1.0017 | 1.0015 | .254 | .257 | .256 |
| .75 | 1.0011 | 1.0017 | 1.0016 | .260 | .264 | .262 |
| .80 | 1.0011 | 1.0017 | 1.0017 | .267 | .272 | .269 |
| .85 | 1.0011 | 1.0018 | 1.0018 | .275 | .280 | .277 |
| .90 | 1.0012 | 1.0019 | 1.0019 | .284 | .290 | .287 |
| .95 | 1.0013 | 1.0020 | 1.0021 | .295 | .301 | .297 |
| 1.00 | 1.0013 | 1.0021 | 1.0022 | .305 | .312 | .307 |
| 1.10 | 1.0015 | 1.0024 | 1.0025 | .325 | .333 | .327 |
| 1.20 | 1.0018 | 1.0028 | 1.0029 | .346 | .355 | .348 |
| 1.30 | 1.0020 | 1.0031 | 1.0032 | .367 | .377 | .370 |
| 1.40 | 1.0023 | 1.0036 | 1.0036 | .387 | .399 | .391 |
| 1.50 | 1.0026 | 1.0040 | 1.0040 | .407 | .420 | .411 |
| 1.60 | 1.0029 | 1.0045 | 1.0043 | .425 | .439 | .430 |
| 1.70 | 1.0032 | 1.0050 | 1.0046 | .441 | .456 | .447 |
| 1.80 | 1.0036 | 1.0055 | 1.0050 | .457 | .473 | .464 |
| 1.90 | 1.0039 | 1.0060 | 1.0053 | .472 | .489 | .480 |
| 2.00 | 1.0042 | 1.0065 | 1.0056 | .487 | .505 | .496 |
| 2.20 | 1.0048 | 1.0074 | 1.0063 | .513 | .533 | .524 |
| 2.40 | 1.0053 | 1.0083 | 1.0068 | .536 | .557 | .549 |
| 2.60 | 1.0058 | 1.0091 | 1.0073 | .555 | .577 | .569 |
| 2.80 | 1.0063 | 1.0098 | 1.0077 | .572 | .595 | .588 |
| 3.00 | 1.0068 | 1.0105 | 1.0082 | .587 | .611 | .605 |
| 3.20 | 1.0071 | 1.0111 | 1.0086 | .601 | .626 | .621 |
| 3.40 | 1.0075 | 1.0117 | 1.0089 | .613 | .639 | .635 |
| 3.60 | 1.0078 | 1.0121 | 1.0092 | .624 | .650 | .647 |
| 3.80 | 1.0081 | 1.0126 | 1.0095 | .634 | .661 | .658 |
| 4.00 | 1.0084 | 1.0130 | 1.0098 | .642 | .670 | .668 |
| 4.50 | 1.0089 | 1.0139 | 1.0103 | .660 | .689 | .689 |
| 5.00 | 1.0094 | 1.0146 | 1.0108 | .674 | .703 | .704 |
| 5.50 | 1.0097 | 1.0152 | 1.0111 | .685 | .715 | .718 |
| 6.00 | 1.0100 | 1.0156 | 1.0115 | .694 | .725 | .728 |
| 6.50 | 1.0103 | 1.0160 | 1.0117 | .702 | .733 | .738 |
| 7.00 | 1.0105 | 1.0163 | 1.0120 | .709 | .740 | .745 |
| 7.50 | 1.0107 | 1.0166 | 1.0121 | .714 | .746 | .752 |
| 8.00 | 1.0108 | 1.0168 | 1.0123 | .719 | .751 | .757 |
| 8.50 | 1.0109 | 1.0170 | 1.0124 | .723 | .755 | .762 |
| 9.00 | 1.0111 | 1.0172 | 1.0126 | .726 | .759 | .766 |
| 9.50 | 1.0112 | 1.0174 | 1.0127 | .729 | .762 | .769 |
| 10.00 | 1.0112 | 1.0175 | 1.0128 | .732 | .765 | .773 |
| 11.00 | 1.0114 | 1.0177 | 1.0129 | .736 | .769 | .778 |
| 12.00 | 1.0115 | 1.0179 | 1.0131 | .740 | .773 | .782 |
| 13.00 | 1.0116 | 1.0180 | 1.0132 | .742 | .776 | .786 |
| 14.00 | 1.0117 | 1.0182 | 1.0133 | .745 | .779 | .788 |
| 15.00 | 1.0117 | 1.0183 | 1.0134 | .747 | .781 | .791 |
| 16.00 | 1.0118 | 1.0184 | 1.0134 | .749 | .783 | .793 |
| 17.00 | 1.0118 | 1.0184 | 1.0135 | .750 | .784 | .795 |
| 18.00 | 1.0119 | 1.0185 | 1.0135 | .752 | .786 | .796 |
| 19.00 | 1.0119 | 1.0186 | 1.0136 | .753 | .787 | .798 |
| 20.00 | 1.0120 | 1.0186 | 1.0136 | .754 | .788 | .799 |
| 22.00 | 1.0120 | 1.0187 | 1.0137 | .755 | .790 | .801 |
| 24.00 | 1.0120 | 1.0187 | 1.0137 | .757 | .791 | .803 |
| 26.00 | 1.0121 | 1.0188 | 1.0138 | .758 | .792 | .804 |
| 28.00 | 1.0121 | 1.0188 | 1.0138 | .759 | .793 | .805 |
| 30.00 | 1.0121 | 1.0189 | 1.0139 | .760 | .794 | .806 |
| 32.00 | 1.0121 | 1.0189 | 1.0139 | .760 | .795 | .807 |
| 34.00 | 1.0122 | 1.0189 | 1.0139 | .761 | .796 | .808 |
| 36.00 | 1.0122 | 1.0189 | 1.0139 | .761 | .796 | .808 |
| 38.00 | 1.0122 | 1.0190 | 1.0139 | .762 | .797 | .809 |
| 40.00 | 1.0122 | 1.0190 | 1.0140 | .762 | .797 | .809 |
| 45.00 | 1.0122 | 1.0190 | 1.0140 | .763 | .798 | .810 |
| 50.00 | 1.0123 | 1.0191 | 1.0140 | .764 | .799 | .811 |
| 55.00 | 1.0123 | 1.0191 | 1.0140 | .764 | .799 | .812 |
| 60.00 | 1.0123 | 1.0191 | 1.0141 | .765 | .800 | .812 |
| 65.00 | 1.0123 | 1.0191 | 1.0141 | .765 | .800 | .812 |
| 70.00 | 1.0123 | 1.0191 | 1.0141 | .765 | .800 | .813 |
| 75.00 | 1.0123 | 1.0191 | 1.0141 | .765 | .801 | .813 |
| 80.00 | 1.0123 | 1.0192 | 1.0141 | .766 | .801 | .813 |
| 85.00 | 1.0123 | 1.0192 | 1.0141 | .766 | .801 | .814 |
| 90.00 | 1.0123 | 1.0192 | 1.0141 | .766 | .801 | .814 |
| 95.00 | 1.0123 | 1.0192 | 1.0141 | .766 | .801 | .814 |
| 100.00 | 1.0123 | 1.0192 | 1.0141 | .766 | .801 | .814 |
| 125.00 | 1.0123 | 1.0192 | 1.0142 | .767 | .802 | .815 |
| 150.00 | 1.0124 | 1.0192 | 1.0142 | .767 | .802 | .815 |
| 175.00 | 1.0124 | 1.0192 | 1.0142 | .767 | .803 | .815 |
| 200.00 | 1.0124 | 1.0192 | 1.0142 | .768 | .803 | .816 |
Table 11c.
Tables of additional functions of the collision integrals (50, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0019 | 1.0030 | 1.0019 | .291 | .295 | .297 |
| .15 | 1.0020 | 1.0031 | 1.0020 | .293 | .297 | .299 |
| .20 | 1.0020 | 1.0032 | 1.0020 | .294 | .298 | .300 |
| .25 | 1.0021 | 1.0033 | 1.0020 | .291 | .295 | .298 |
| .30 | 1.0021 | 1.0032 | 1.0019 | .287 | .290 | .293 |
| .35 | 1.0020 | 1.0031 | 1.0019 | .281 | .285 | .288 |
| .40 | 1.0019 | 1.0029 | 1.0018 | .276 | .279 | .282 |
| .45 | 1.0017 | 1.0027 | 1.0018 | .272 | .275 | .278 |
| .50 | 1.0016 | 1.0025 | 1.0017 | .270 | .273 | .275 |
| .55 | 1.0015 | 1.0023 | 1.0017 | .270 | .274 | .275 |
| .60 | 1.0014 | 1.0022 | 1.0018 | .272 | .276 | .276 |
| .65 | 1.0014 | 1.0021 | 1.0018 | .276 | .281 | .280 |
| .70 | 1.0014 | 1.0021 | 1.0019 | .282 | .287 | .285 |
| .75 | 1.0014 | 1.0021 | 1.0020 | .289 | .294 | .292 |
| .80 | 1.0014 | 1.0021 | 1.0021 | .297 | .303 | .300 |
| .85 | 1.0014 | 1.0022 | 1.0022 | .305 | .312 | .308 |
| .90 | 1.0015 | 1.0023 | 1.0024 | .315 | .322 | .318 |
| .95 | 1.0016 | 1.0025 | 1.0025 | .325 | .332 | .328 |
| 1.00 | 1.0017 | 1.0026 | 1.0027 | .335 | .344 | .338 |
| 1.10 | 1.0019 | 1.0029 | 1.0030 | .356 | .366 | .360 |
| 1.20 | 1.0022 | 1.0033 | 1.0034 | .376 | .387 | .380 |
| 1.30 | 1.0024 | 1.0038 | 1.0037 | .397 | .409 | .401 |
| 1.40 | 1.0027 | 1.0042 | 1.0041 | .417 | .430 | .422 |
| 1.50 | 1.0030 | 1.0047 | 1.0045 | .436 | .451 | ^442 |
| 1.60 | 1.0034 | 1.0052 | 1.0049 | .454 | .470 | .461 |
| 1.70 | 1.0037 | 1.0057 | 1.0052 | .470 | .487 | .478 |
| 1.80 | 1.0040 | 1.0062 | 1.0056 | .485 | .503 | .494 |
| 1.90 | 1.0043 | 1.0067 | 1.0059 | .500 | .518 | .509 |
| 2.00 | 1.0046 | 1.0072 | 1.0062 | .514 | .533 | .524 |
| 2.20 | 1.0052 | 1.0081 | 1.0069 | .539 | .560 | .552 |
| 2.40 | 1.0057 | 1.0089 | 1.0074 | .561 | .584 | .576 |
| 2.60 | 1.0062 | 1.0097 | 1.0079 | .580 | .604 | .597 |
| 2.80 | 1.0067 | 1.0104 | 1.0084 | .596 | .621 | .615 |
| 3.00 | 1.0071 | 1.0111 | 1.0088 | .611 | .636 | .631 |
| 3.20 | 1.0075 | 1.0117 | 1.0092 | .624 | .651 | .646 |
| 3.40 | 1.0079 | 1.0123 | 1.0095 | .636 | .663 | .659 |
| 3.60 | 1.0082 | 1.0127 | 1.0098 | .646 | .674 | .671 |
| 3.80 | 1.0085 | 1.0132 | 1.0101 | .656 | .684 | .682 |
| 4.00 | 1.0087 | 1.0136 | 1.0104 | .664 | .693 | .692 |
| 4.50 | 1.0093 | 1.0145 | 1.0109 | .682 | .712 | .712 |
| 5.00 | 1.0098 | 1.0152 | 1.0114 | .695 | .727 | .728 |
| 5.50 | 1.0101 | 1.0158 | 1.0117 | .706 | .738 | .741 |
| 6.00 | 1.0104 | 1.0162 | 1.0121 | .715 | .748 | .752 |
| 6.50 | 1.0107 | 1.0166 | 1.0123 | .723 | .756 | .761 |
| 7.00 | 1.0109 | 1.0170 | 1.0125 | .730 | .763 | .768 |
| 7.50 | 1.0111 | 1.0173 | 1.0127 | .735 | .769 | .775 |
| 8.00 | 1.0113 | 1.0175 | 1.0129 | .740 | .774 | .780 |
| 8.50 | 1.0114 | 1.0177 | 1.0131 | .744 | .778 | .785 |
| 9.00 | 1.0115 | 1.0179 | 1.0132 | .747 | .782 | .789 |
| 9.50 | 1.0116 | 1.0181 | 1.0133 | .750 | .785 | .793 |
| 10.00 | 1.0117 | 1.0182 | 1.0134 | .753 | .788 | .796 |
| 11.00 | 1.0118 | 1.0184 | 1.0136 | .757 | .792 | .802 |
| 12.00 | 1.0120 | 1.0186 | 1.0137 | .761 | .796 | .806 |
| 13.00 | 1.0121 | 1.0188 | 1.0138 | .764 | .799 | .809 |
| 14.00 | 1.0121 | 1.0189 | 1.0139 | .766 | .802 | .812 |
| 15.00 | 1.0122 | 1.0190 | 1.0140 | .768 | .804 | .815 |
| 16.00 | 1.0123 | 1.0191 | 1.0140 | .770 | .806 | .817 |
| 17.00 | 1.0123 | 1.0192 | 1.0141 | .772 | .808 | .819 |
| 18.00 | 1.0124 | 1.0193 | 1.0142 | .773 | .809 | .821 |
| 19.00 | 1.0124 | 1.0193 | 1.0142 | .774 | .811 | .822 |
| 20.00 | 1.0125 | 1.0194 | 1.0143 | .775 | .812 | .823 |
| 22.00 | 1.0125 | 1.0195 | 1.0143 | .777 | .814 | .825 |
| 24.00 | 1.0126 | 1.0195 | 1.0144 | .779 | .815 | .827 |
| 26.00 | 1.0126 | 1.0196 | 1.0144 | .780 | .817 | .829 |
| 28.00 | 1.0126 | 1.0196 | 1.0145 | .781 | .818 | .830 |
| 30.00 | 1.0126 | 1.0197 | 1.0145 | .782 | .818 | .831 |
| 32.00 | 1.0127 | 1.0197 | 1.0145 | .782 | .819 | .832 |
| 34.00 | 1.0127 | 1.0197 | 1.0146 | .783 | .820 | .832 |
| 36.00 | 1.0127 | 1.0197 | 1.0146 | .783 | .820 | .833 |
| 38.00 | 1.0127 | 1.0198 | 1.0146 | .784 | .821 | .834 |
| 40.00 | 1.0127 | 1.0198 | 1.0146 | .784 | .821 | .834 |
| 45.00 | 1.0128 | 1.0198 | 1.0147 | .785 | .822 | .835 |
| 50.00 | 1.0128 | 1.0199 | 1.0147 | .786 | .823 | .836 |
| 55.00 | 1.0128 | 1.0199 | 1.0147 | .787 | .824 | .837 |
| 60.00 | 1.0128 | 1.0199 | 1.0147 | .787 | .824 | .837 |
| 65.00 | 1.0128 | 1.0199 | 1.0147 | .787 | .825 | .838 |
| 70.00 | 1.0128 | 1.0200 | 1.0148 | .788 | .825 | .838 |
| 75.00 | 1.0128 | 1.0200 | 1.0148 | .788 | .825 | .838 |
| 80.00 | 1.0128 | 1.0200 | 1.0148 | .788 | .826 | .839 |
| 85.00 | 1.0128 | 1.0200 | 1.0148 | .788 | .826 | .839 |
| 90.00 | 1.0128 | 1.0200 | 1.0148 | .789 | .826 | .839 |
| 95.00 | 1.0129 | 1.0200 | 1.0148 | .789 | .826 | .839 |
| 100.00 | 1.0129 | 1.0200 | 1.0148 | .789 | .826 | .840 |
| 125.00 | 1.0129 | 1.0200 | 1.0148 | .790 | .827 | .840 |
| 150.00 | 1.0129 | 1.0200 | 1.0149 | .790 | .827 | .841 |
| 175.00 | 1.0129 | 1.0201 | 1.0149 | .790 | .828 | .841 |
| 200.00 | 1.0129 | 1.0201 | 1.0149 | .790 | .828 | .841 |
Table 12c.
Tables of additional functions of the collision integrals (75, 6) potential function
| Higher order corrections | Isotopic thermal diffusion ratios | |||||
|---|---|---|---|---|---|---|
| T* | fη | fλ | c.c.1 | Kihara1 | Kihara2 | |
| .10 | 1.0019 | 1.0030 | 1.0020 | .294 | .299 | .300 |
| .15 | 1.0020 | 1.0031 | 1.0021 | .298 | .302 | .304 |
| .20 | 1.0021 | 1.0032 | 1.0021 | .301 | .305 | .307 |
| .25 | 1.0021 | 1.0033 | 1.0021 | .302 | .306 | .308 |
| .30 | 1.0022 | 1.0033 | 1.0021 | .302 | .306 | .308 |
| .35 | 1.0021 | 1.0033 | 1.0021 | .300 | .305 | .307 |
| .40 | 1.0020 | 1.0032 | 1.0021 | .300 | .304 | .306 |
| .45 | 1.0019 | 1.0030 | 1.0021 | .300 | .304 | .306 |
| .50 | 1.0019 | 1.0029 | 1.0021 | .301 | .306 | .307 |
| .55 | 1.0018 | 1.0028 | 1.0022 | .304 | .309 | .309 |
| .60 | 1.0017 | 1.0027 | 1.0023 | .309 | .314 | .314 |
| .65 | 1.0017 | 1.0027 | 1.0023 | .314 | .320 | .319 |
| .70 | 1.0017 | 1.0027 | 1.0025 | .321 | .328 | .326 |
| .75 | 1.0018 | 1.0027 | 1.0026 | .330 | .336 | .334 |
| .80 | 1.0018 | 1.0028 | 1.0027 | .338 | .346 | .343 |
| .85 | 1.0019 | 1.0029 | 1.0029 | .348 | .356 | .352 |
| .90 | 1.0019 | 1.0030 | 1.0030 | .358 | .366 | .362 |
| .95 | 1.0021 | 1.0032 | 1.0032 | .368 | .377 | .372 |
| 1.00 | 1.0022 | 1.0034 | 1.0034 | .378 | .388 | .382 |
| 1.10 | 1.0024 | 1.0038 | 1.0038 | .399 | .411 | .404 |
| 1.20 | 1.0027 | 1.0042 | 1.0042 | .420 | .433 | .425 |
| 1.30 | 1.0030 | 1.0047 | 1.0046 | .440 | .454 | .446 |
| 1.40 | 1.0034 | 1.0053 | 1.0050 | .459 | .475 | .466 |
| 1.50 | 1.0037 | 1.0058 | 1.0054 | .477 | .494 | .485 |
| 1.60 | 1.0040 | 1.0063 | 1.0058 | .495 | .513 | .504 |
| 1.70 | 1.0044 | 1.0068 | 1.0061 | .511 | .530 | .521 |
| 1.80 | 1.0047 | 1.0073 | 1.0065 | .526 | .546 | .537 |
| 1.90 | 1.0050 | 1.0078 | 1.0068 | .540 | .561 | .552 |
| 2.00 | 1.0053 | 1.0082 | 1.0072 | .553 | .575 | .566 |
| 2.20 | 1.0059 | 1.0091 | 1.0078 | .577 | .600 | .592 |
| 2.40 | 1.0064 | 1.0099 | 1.0083 | .598 | .623 | .615 |
| 2.60 | 1.0068 | 1.0106 | 1.0089 | .616 | .642 | .636 |
| 2.80 | 1.0073 | 1.0113 | 1.0093 | .632 | .659 | .653 |
| 3.00 | 1.0077 | 1.0120 | 1.0097 | .645 | .674 | .669 |
| 3.20 | 1.0081 | 1.0126 | 1.0101 | .658 | .687 | .682 |
| 3.40 | 1.0084 | 1.0131 | 1.0104 | .669 | .699 | .695 |
| 3.60 | 1.0087 | 1.0136 | 1.0107 | .679 | .710 | .707 |
| 3.80 | 1.0090 | 1.0141 | 1.0110 | .688 | .719 | .717 |
| 4.00 | 1.0093 | 1.0145 | 1.0113 | .696 | .728 | .727 |
| 4.50 | 1.0099 | 1.0154 | 1.0118 | .713 | .746 | .747 |
| 5.00 | 1.0104 | 1.0162 | 1.0123 | .727 | .760 | .762 |
| 5.50 | 1.0108 | 1.0168 | 1.0126 | .737 | .772 | .775 |
| 6.00 | 1.0111 | 1.0173 | 1.0129 | .746 | .781 | .786 |
| 6.50 | 1.0114 | 1.0177 | 1.0132 | .754 | .789 | .795 |
| 7.00 | 1.0116 | 1.0180 | 1.0134 | .760 | .796 | .802 |
| 7.50 | 1.0118 | 1.0183 | 1.0136 | .765 | .802 | .809 |
| 8.00 | 1.0119 | 1.0186 | 1.0138 | .770 | .807 | .814 |
| 8.50 | 1.0121 | 1.0188 | 1.0139 | .774 | .811 | .819 |
| 9.00 | 1.0122 | 1.0189 | 1.0141 | .778 | .815 | .823 |
| 9.50 | 1.0123 | 1.0191 | 1.0142 | .781 | .818 | .827 |
| 10.00 | 1.0124 | 1.0192 | 1.0143 | .783 | .821 | .830 |
| 11.00 | 1.0125 | 1.0195 | 1.0144 | .788 | .826 | .835 |
| 12.00 | 1.0126 | 1.0197 | 1.0146 | .791 | .830 | .840 |
| 13.00 | 1.0128 | 1.0198 | 1.0147 | .794 | .833 | .844 |
| 14.00 | 1.0128 | 1.0200 | 1.0148 | .797 | .836 | .847 |
| 15.00 | 1.0129 | 1.0201 | 1.0149 | .799 | .838 | .849 |
| 16.00 | 1.0130 | 1.0202 | 1.0150 | .801 | .840 | .851 |
| 17.00 | 1.0130 | 1.0203 | 1.0150 | .802 | .841 | .853 |
| 18.00 | 1.0131 | 1.0204 | 1.0151 | .804 | .843 | .855 |
| 19.00 | 1.0131 | 1.0204 | 1.0151 | .805 | .844 | .856 |
| 20.00 | 1.0132 | 1.0205 | 1.0152 | .806 | .845 | .858 |
| 22.00 | 1.0132 | 1.0205 | 1.0152 | .808 | .847 | .860 |
| 24.00 | 1.0133 | 1.0206 | 1.0153 | .809 | .849 | .862 |
| 26.00 | 1.0133 | 1.0207 | 1.0153 | .811 | .850 | .863 |
| 28.00 | 1.0133 | 1.0207 | 1.0154 | .812 | .851 | .864 |
| 30.00 | 1.0133 | 1.0207 | 1.0154 | .812 | .852 | .865 |
| 32.00 | 1.0134 | 1.0208 | 1.0154 | .813 | .853 | .866 |
| 34.00 | 1.0134 | 1.0208 | 1.0155 | .814 | .854 | .867 |
| 36.00 | 1.0134 | 1.0209 | 1.0155 | .814 | .854 | .868 |
| 38.00 | 1.0134 | 1.0209 | 1.0155 | .815 | .855 | .868 |
| 40.00 | 1.0135 | 1.0209 | 1.0155 | .815 | .855 | .869 |
| 45.00 | 1.0135 | 1.0210 | 1.0156 | .816 | .856 | .870 |
| 50.00 | 1.0135 | 1.0211 | 1.0156 | .817 | .857 | .871 |
| 55.00 | 1.0136 | 1.0211 | 1.0156 | .818 | .858 | .872 |
| 60.00 | 1.0136 | 1.0212 | 1.0157 | .818 | .859 | .873 |
| 65.00 | 1.0136 | 1.0212 | 1.0157 | .819 | .859 | .873 |
| 70.00 | 1.0136 | 1.0212 | 1.0157 | .819 | .859 | .874 |
| 75.00 | 1.0137 | 1.0212 | 1.0157 | .819 | .860 | .874 |
| 80.00 | 1.0137 | 1.0213 | 1.0157 | .820 | .860 | .874 |
| 85.00 | 1.0137 | 1.0213 | 1.0157 | .820 | .860 | .874 |
| 90.00 | 1.0137 | 1.0213 | 1.0158 | .820 | .860 | .875 |
| 95.00 | 1.0137 | 1.0213 | 1.0158 | .820 | .861 | .875 |
| 100.00 | 1.0137 | 1.0213 | 1.0158 | .820 | .861 | .875 |
| 125.00 | 1.0136 | 1.0212 | 1.0158 | .821 | .861 | .876 |
| 150.00 | 1.0136 | 1.0212 | 1.0158 | .821 | .862 | .876 |
| 175.00 | 1.0136 | 1.0212 | 1.0158 | .821 | .862 | .876 |
| 200.00 | 1.0136 | 1.0212 | 1.0158 | .821 | .862 | .876 |
Acknowledgments
The authors thank the computer staff of the Air Force Automatic Data Processing Systems at the Pentagon for making time available on their computers. The authors wish particularly to thank Ed. Hall of that organization for his cooperation.
Supported, in part, by the Air Force Systems Command, Arnold Engineering Development Center, Tullahoma, Tennessee. Delivery Order Number (40–600) 66–938 Program Element 61445014 AF Project 8951.
Footnotes
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