A Table of Rotational Constants of Symmetric Top Molecules Giving Rise to Microwave Spectra

Abstract

This paper lists, in order of increasing value, the “B” rotational constants of most of the linear and symmetric top molecules which have been observed by microwave spectroscopy. Also are listed the microwave spectral lines which have been observed for the asymmetric tops water and formaldehyde. These data are useful for making a quick selection of a molecule which has a spectral line close to some previously selected frequency.

Nowadays there are a number of actual and potential situations in which one would like to select a molecule to have a spectral line close to some previously specified frequency. For one thing, the transitions of light linear or symmetric top molecules, which lie in almost but not exact harmonic relationship, are used to tune up millimeter wave spectrographs. For another, there is a great interest in devising experiments, many involving lasers, in which a spectral line, or one of the harmonics of its frequency, nearly coincides with a spectral line of another substance. In addition there might be practical applications, such as in a communications system, in which it may be desired to build a molecular frequency standard with its fundamental close to some previously chosen frequency.

As an aid to making such a selection, herewith in table 1 is presented, in order of increasing value, the “B” rotational constants of most of the linear and symmetric top molecules which are listed in “Microwave Spectral Tables,” National Bureau of Standards, Monograph 70.¹ From the simple well-known formula given in eq (1) it is possible to get a very good approximation of the frequencies of nearly all of the rotational lines of these molecules. The frequency

$$f=2\text{B}J,$$ (1)

where J is any integer, which is the quantum number giving the total angular momentum (not including nuclear spin) of the upper state giving rise to the transition. In table 1, values of B are given for only one isotopic species of each molecule, generally the most abundant one. The values for other isotopic species may be easily determined from the fact that B is inversely proportional to the reduced mass of the molecule. Also listed in table 1 are the common names of the molecules to aid in referring to handbooks giving physical properties and to the catalogs of chemical companies.

Table 1. “B” Rotational constants of symmetric top and linear molecules.

B(MHz)	Molecule name	Isotopic speciesa
708.3579	Cesium Iodide	Cs133I127
725.9	I-Bromo-Bicyclo(2,2,2)Octane	${\text{C}}_8^{12}{\text{H}}_{13}{\text{Br}}^{79}$
729.8	Benzene Chromium Tricarbonyl	${\text{C}}_6^{12}{\text{H}}_6{\text{Cr}}^{52}{\left({\text{C}}^{12}{\text{O}}^{16}\right)}_3$
788.0	Methyl Mercuric Iodide	C12H3HghIb
817.510	Thallium Iodide	TI205I127
891.69	l-Chloro-3,3-Dimethyl-l-Butyne	(C12H3)3C12C12=C12Cl35
984.3166	Rubidium Iodide	Rb85I127
996.4	Phosphorus Tribromide	${\text{P}}^{\mathrm{b}}{\text{Br}}_3^{79}$
1081.343	Cesium Bromide	Cs133Br79
1096.42	Trimethyliodosilane	(C12H3)3Si28I127
1104.95	Indium Iodide	In115I127
1142.86	Methyl Mercuric Bromide	C12H3Hg198Br79
1247.61	Tribromomethane	${\text{C}}^{12}{\text{HBr}}_3^{79}$
1259.02	l-Iodopropyne	H3C12C12≡C12I127
1259.25	Nickel Cyclopentadienyl Nitrosyl	${\text{C}}_5^{12}{\text{H}}_5{\text{N}}^{14}{\text{Ni}}^{58}{\text{O}}^{16}$
1297.409	Thallium Bromide	TI205Br79
1369.70	1,1,1-Trifluoro-2-Butyne	${\text{C}}^{12}{\text{H}}_3{\text{C}}^{12}\equiv {\text{C}}^{12}{\text{C}}^{12}{\text{F}}_3^{19}$
1402.64	Thiophosphoryl Chloride	${\text{S}}^{32}{\text{P}}^{31}{\text{C}}_3^{35}$
1424.840	Rubidium Bromide	Rb85Br79
1461.95	Trirnethylbromosilane	(C12H3)3Si28Br79
1467.98	Cyclopentadienyl Thallium	${\text{C}}_5^{12}{\text{H}}_5{\text{TI}}^{203}$
1497.	Bismuth Trichloride	${\text{Bi}}^{209}{\text{Cl}}_3^{35}$
1516.018	Silyl Isothiocyanate	Si28H3N14C12S32
1523.23	Trifluoroiodomethane	${\text{C}}^{12}{\text{F}}_3^{19}{\text{I}}^{127}$
1549.98	Bromotrifluorosilane	${\text{Si}}^{28}{\text{F}}_3^{19}{\text{Br}}^{79}$
1561.11	I-Bromopropyne	H3C12C12≡C12Br79
1562.	2-lodo-2-Methylpropane	(C12H3)3C12I127
1573.7	Trimethylamine-Trimethylborane	(C12H3)3N14 · B11(C12H3)3
1584.122	Thiocarbonyl Telluride	S32CI2Te122
1599.3	Methyltrichlorogermane	${\text{C}}^{12}{\text{H}}_3{\text{Ge}}^{\text{b}}{\text{Cl}}_3^{35}$
1667.2	Trichloroacetonitrile	${\text{C}}^{12}{\text{Cl}}_3^{35}{\text{C}}^{12}{\text{N}}^{14}$
1670.14	Indium Bromide	In115Br79
1706.86	Gallium Monoiodide	Ga69I127
1750.	Trifluoroborane-trimethylamine	${\text{F}}_3^{19}{\text{B}}^{\mathrm{b}}\cdot {\text{N}}^{\mathrm{b}}{\left({\text{C}}^{12}{\text{H}}_3\right)}_3$
1753.9	Antimony Trichloride	${\text{Sb}}^{121}{\text{Cl}}_3^{35}$
1769.836	Methyltrichlorosilane	${\text{C}}^{12}{\text{H}}_3{\text{Si}}^{28}{\text{Cl}}_3^{35}$
1825.012	Potassium Iodide	K39I127
2001.56	Thiocarbonyl Selenide	S32C12Se82
2015.20	Phosphoryl Chloride	${\text{P}}^{31}{\text{O}}^{16}{\text{Cl}}_3^{35}$
2035.741	Penta-l,3-Diyne	H3C12C12≡C12C12≡C12H
2044.2	2-Bromo-2-Methylpropane	(C12H3)3C12Br79
2065.73	2-Butynenitrile	H3C12C12≡ C12C12N14
2077.48	Methyl Mercuric Chloride	C12H3HG198CI35
2094.20	Rhenium Trioxychloride	${\text{Re}}^{185}{\text{O}}_3^{16}{\text{Cl}}^{35}$
2098.06	Bromotrifluoromethane	${\text{C}}^{12}{\text{F}}_3^{19}{\text{Br}}^{79}$
2147.2	Arsenic Trichloride	${\text{As}}^{75}{\text{Cl}}_3^{35}$
2161.208	Cesium Chloride	Cs133CI35
2168.52	Chlorotrifluorogermane	${\text{Ge}}^{\text{70}}{\text{F}}_{\mathrm{3}}^{\text{19}}{\text{Cl}}^{35}$
2172.75	Trichlorogermane	${\text{Ge}}^{70}{\text{HCl}}_3^{35}$
2197.441	Trimethylchlorosilane	(C12H3)3Si28CI35
2232.271	1-Chloropropyne	C12H3C12 ≡ C12CI35
2326.	Phosphorus Tricyanide	Pb(CI2N’4)3
2372.6	1,1,1 -Trichloroethane	${\text{C}}^{12}{\text{H}}_3{\text{C}}^{12}{\text{Cl}}_3^{35}$
2431.4	Quinuclidine	${\text{C}}_7^{12}{\text{H}}_{13}{\text{N}}^{14}$
2434.953	Potassium Bromide	K39Br79
2438.57	Bromogermane	Ge70H3Br79
2465.39	Trichlorofluoromethane	${\text{C}}^{12}{\text{Cl}}_3^{35}{\text{F}}^{19}$
2472.489	Trichlorosilane	${\text{Si}}^{28}{\text{HCl}}_3^{35}$
2477.79	Chlorotrifluorosilane	${\text{Si}}^{28}{\text{F}}_3^{19}{\text{Cl}}^{35}$
2481.99	Gallium Monobromide	Ga69Br79
2617.1	Phosphorus Trichloride	${\text{P}}^{31}{\text{Cl}}_3^{35}$
2657.63	Thiophosphoryl Fluoride	${\text{S}}^{32}{\text{P}}^{31}{\text{F}}_3^{19}$
2683.18	1,1-Dimethyl-3-Butyne	(C12H3)3C12C12 ≡ C12H
2743.913	Thallium Chloride	TI203CI35
2749.89	2,2-Dimethylpropanenitrile	(C12H3)3C12C12N14
2767.414	Rubidium Chloride	Rb85CI35
2877.93	3,3,3-Trifluoro-1-Propyne	${\text{C}}^{12}{\text{F}}_3^{19}{\text{C}}^{12}={\text{C}}^{12}\text{H}$
2945.528	Trifluoroacetonitrile	${\text{C}}^{12}{\text{F}}_3^{19}{\text{C}}^{12}{\text{N}}^{14}$
3017.69	2-Chloro-2-Methylpropane	(C12H3)3C12CI35
3215.52	lodosilane	Si28H3l127
3225.578	Cyanogen Iodide	I127C12N14
3257.	Methyltrifluorogermane	${\text{C}}^{12}{\text{H}}_3{\text{Ge}}^{\text{b}}{\text{F}}_3^{19}$
3269.47	Indium Chloride	In115CI35
3301.94	Trichloromethane	${\text{C}}^{12}{\text{HCl}}_3^{35}$
3335.56	Chlorotrifluoromethane	${\text{C}}^{12}{\text{F}}_3^{19}{\text{Cl}}^{35}$
3411.00	Trimethylfluorosilane	(C12H3)3Si28F19
3422.300	Iodine Monochloride	I127CI35
3531.778	Sodium Iodide	Na23II27
3566.801	Rhenium Trioxyfluoride	${\text{Re}}^{185}{\text{O}}_3^{16}{\text{F}}^{19}$
3715.66	Methyltrifluorosilane	${\text{C}}^{12}{\text{H}}_3{\text{Si}}^{28}{\text{F}}_3^{19}$
3856.399	Potassium Chloride	K39CI35
4095.786	Carbonyl Selenide	O16C12Se74
4120.230	Cyanogen Bromide	Br79C12N14
4129.106	Manganese Trioxyfluoride	${\text{Mn}}^{55}{\text{O}}_3^{16}{\text{F}}^{19}$
4321.72	Bromosilane	Si28H3Br79
4401.71	Chlorogermane	Ge70H3CI35
4493.73	Gallium Monochloride	Ga69CI35
4534.52	Sodium Bromide	Na23Br79
4549.07	Propiolonitrile	HC12 ≡ C12C12N14
4570.92	Bromine Monochloride	Br79CI35
4594.262	Phosphoryl Fluoride	${\text{P}}^{31}{\text{O}}^{16}{\text{F}}_3^{19}$
4636.24	Trifluorosulfur Nitride	${\text{N}}^{14}{\text{S}}^{32}{\text{F}}_3^{19}$
4712.15	2·Fluoro·2·Methylpropane	(C12H3)3C12F19
4724.98	Trimethylarsine	(C12H3)3As75
4972.7	Silyl Cyanide	H3Si28C12N14
5185.14	1,1,I-Trifluoroethane	${\text{C}}^{12}{\text{H}}_3{\text{C}}^{12}{\text{F}}_3^{19}$
5260.66	Perchlorylfluoride	${\text{Cl}}^{35}{\text{O}}_3^{16}{\text{F}}^{19}$
5273.6	1,3,5-Trioxane	O16*C12H2O16C12H2O16C12*H2
5345.15	Trimethylsilane	(C12H3)3Si28H
5527.34	Cesium Fluoride	Cs13F19
5684.24	Chloroacetylene	HC12 ≡ C12CI35
5816.24	Trimethylphosphine	(C12H3)3P31
5878.971	Arsenic Trifluoride	${\text{As}}^{75}{\text{F}}_3^{19}$
5970.831	Cyanogen Chloride	Cl35C12N14
6081.480	Carbonyl Sulfide	O16C12S32
6537.07	Sodium Chloride	Na23CI35
6673.8	Chlorosilane	Sj28H3CI35
6695.46	Thallium Fluoride	TI203F19
6906.35	Methyltin	C12H3Sn118H3
7208.049	Trifluorosilane	${\text{Si}}^{28}{\text{F}}_3^{19}\text{H}$
7501.30	Iodomethane	C12H3I127
7789.45	2-Methylpropane	(C12H3)3N14
7819.900	Phosphorus Trifluoride	${\text{P}}^{31}{\text{F}}_3^{19}$
8545.84	Propyne	C12H3C12≡C12H
8710.65	Methylgermane	C12H3Ge70H3
8720.86	Trimethylamine	(C12H3)3N14
8979.94	Carbonyl Borane	H3B10C12O16
9198.83	Acetonitrile	C12H3C12N14
9568.20	Bromomethane	C12H3Br79
9706.22	Fluoroacetylene	HC12≡C12F19
10052.88	Methyl Isocyanide	C12H3N14C12
10348.74	Trifluoromethane	${\text{C}}^{12}{\text{HF}}_3^{19}$
10554.20	Cyanogen Fluoride	F’9C12NI4
10680.96	Nitrogen Trifluoride	${\text{N}}^{14}{\text{F}}_3^{19}$
10706.9	Bromine Monofluoride	Br79F19
10968.96	Methylsilane	C12H3Si28H3
12561.64	Nitrous Oxide	${\text{N}}_2^{14}{\text{O}}^{16}$
13292.84	Chloromethane	C12H3C135
14327.9	Fluorosilane	Si28H3F19
15381.99	Lithium Iodide	Li6I127
15483.69	Fluorine Chloride	F19CI35
19162.32	Lithium Bromide	Li6Br81
24584.35	Carbon Monosulfide	C12s32
25530.59	Fluoromethane	C12H3F19
43100.5	Oxygen	${\text{O}}_2^{16}$
44315.99	Hydrocyanic Acid	HC12N14
51109.51	Nitric Oxide	N14O16
57898.568	Carbon Monoxide	C12O16
88031.92	Stibine	Sb121H3
112468.5	Arsine	As75H3
128600	Hydrogen Bromide	DBr79
133478.3	Phosphine	P31H3
163340.1	Hydrogen Chloride	DCI35
195229.1	Hydrogen Iodide	HI127
298000	Ammonia	N14H3

^aThe superscript b means that the particular isotope was not specified.

The values of B given in table 1 were obtained from the same punched computer cards which served as the basis of the “Microwave Spectral Tables.” A program was written for selecting the values in accordance with the present philosophy, arranging the values in ascending order, and printing out the result. In this tabulation, it has not been practical to distinguish between ground vibrational state (B_o) and equilibrium state (B_e) values. In most cases, however, for polyatomic molecules the values given pertain to the ground vibrational state while for diatomic molecules they pertain to the equilibrium state. However, the difference between values of these quantities for the same molecule is probably smaller than the errors associated with eq (1) which result from the neglect of such effects as centrifugal distortion and hyperfine effects.

Accordingly, it is appropriate to give some general discussion of the tables. The present series of volumes are based upon a thorough search of the literature of microwave spectroscopy. The cut-off date of the search differs slightly from volume to volume but is approximately 1961 for all of them. In addition, through the cooperation of numerous investigators, much unpublished data and data published in sources not widely available have been included. In a number of cases where important data after the official cut-off date happened to be conveniently available, they were included, but inclusion of post-cut-off data was determined by convenience and nothing else. A critical selection was made, and the selected data on frequencies and molecular constants were transcribed upon punched cards. The cards were checked against the original sources. Except for a few nonstandard situations, all final print-out was made direct from the cards by use of suitable programs. The present series of volumes were carried out in accordance with a plan developed by Paul W. Wacker. It received sponsorship of the Office of Standard Reference Data of the National Bureau of Standards when it became established. It is likely that in due time supplements to the present series will be published under sponsorship of the Office.

Volume V, which lists the measured frequencies of spectral lines in order of frequency, is also useful in giving direct answers to questions of the type described in the opening paragraph above. Indeed most of the time it may be more useful than table 1 and eq (1). However, the present material is useful in providing some answers not contained in Volume V, and therefore availability of the present material is highly desirable. One reason is that Volume V contains only lines that have actually been observed and measured accurately. However, there exist many lines which are observable but which have not been observed, and there are others which have been observed but not measured accurately and not published. In addition, Volume V contains very few entries above 300 GHz and none above 500 GHz. At the same time, the development of submillimeter lasers has stimulated a great interest in the frequencies of spectral lines up to a few thousand megahertz. The material given here can be used to give good approximations of the frequencies of many spectral lines which are involved in either of these two categories. Once eq (1) has been used to select a molecular transition, the frequency may be computed more exactly by including such effects as centrifugal distortion and hyperfine interactions by methods contained in textbooks but beyond the scope of this paper.

Of course, there are molecular transitions other than the rotational ones of symmetric top molecules that can serve the purposes alluded to in the introductory paragraph. The well known inversion spectrum of ammonia has been used for this purpose. The frequencies of the lines are tabulated in Volume V and elsewhere. The lines of asymmetric tops may be used too, if they are listed in Volume V or known by some other means. However, the calculation of their frequencies from molecular data cannot be done in closed form, and even rough estimates can sometimes be very laborious. Two of these molecules, water and formaldehyde, deserve special mention because samples are easy to obtain, and the lines from them are very strong and distributed widely over the spectrum. For convenience, the listings of spectral lines of these molecules, contained in Volume IV of NBS Monograph 70, are reprinted here in tables 2 and 3 respectively.

Table 2. Microwave spectral lines of water.

The Rotational Quantum Numbers are, respectively, J, K₋₁, and K₊₁ upper state followed by J, K₋₁, and K₊₁ of the lower state.

All transitions pertain to ground vibrational state.

Isotopic species	Rotational quantum Nos.	Hyperfine				Frequency MHz	Ace. ± MHz
		${\text{F}}_1^{\prime }$	F′	F1	F
H3O16	3, 1, 3 ←2, 2, 0					183 311.30	.30
	6, 1, 6 ←5, 2, 3					22 235.22	.05
HDOl6	1, 1, 0 ←1, 1, 1					80 578.15
	2, 1, 1 ← 2, 1, 2					241 561.3
	2, 2, 1 ← 2, 2, 0	1	3/2	2	5/2	10 278.0796	.001
	2, 2, 1←2, 2, 0	3	5/2	3	7/2	10 278.1365	.001
	2, 2, 1 ←2, 2, 0	1	1/2	1	3/2	10 278.1681	.001
	2, 2, 1 ←2, 2, 0	3	5/2	1	3/2	10 278.2255	.001
	2, 2, 1←2, 2, 0					10 278.2455	.001
	2, 2, 1 ←2, 2, 0	1	3/2	3	5/2	10 278.2643	.001
	2, 2, 1 ← 2, 2, 0	1	3/2	1	1/2	10 278.3234	.001
	2, 2, 1 ← 2, 2, 0	3	7/2	3	5/2	10 278.3554	.001
	2, 2, 1←2, 2, 0	2	5/2	1	3/2	10 278.4126	.001
	3, 2, 1 ←3, 2, 2					50 236.30
	3, 3, 0←3, 3, 1	3	5/2	2	3/2	824.4754	.002
	3, 3, 0← 3, 3, 1	4	9/2	4	7/2	824.5074	.002
	3, 3, 0 ←3, 3, 1	3	5/2	4	7/2	824.5247	.002
	3, 3, 0←3, 3, 1	3	7/2	3	5/2	824.5488	.002
	3, 3, 0← 3, 3, 1	3	7/2	4	9/2	824.5685	.002
	3, 3, 0←3, 3, 1	2	5/2	4	7/2	824.6042	.002
	3, 3, 0←3, 3, 1					824.6706	.002
	3, 3, 0 ←3, 3, 1	2	5/2	4	7/2	824.7419	.002
	3, 3. 0←3, 3. 1	3	7/2	4	9/2	824.7730	.002
	3, 3, 0←3, 3, 1	3	7/2	3	5/2	824.7904	.002
	3, 3, 0←3, 3, 1	3	5/2	4	7/2	824.8136	.002
	3, 3, 0 ← 3. 3, 1	4	9/2	4	7/2	824.8341	.002
	3, 3,0←3, 3, 1	3	5/2	2	3/2	824.8637	.002
	3, 2, 1←4, 1, 4					20 460.40
	4, 2, 2←4, 2, 3					143 727.2
	4, 3, 1 ←4, 3, 2					5 702.78
	5, 0, 5 ←4, 2, 2					2 887.4	.1
	5, 1, 5 ←4, 2, 2					120 778.2
	5, 3, 2 ← 5, 3, 3					22 307.67	.05
	5, 4, 1 ← 5, 4, 2	5	11/2	5	9/2	486.266	.002
	5, 4, 1← 5, 4, 2	5	11/2	4	9/2	486.450	.002
	5, 4, 1 ← 5, 4, 2	5	11/2	6	13/2	486.487	.002
	5, 4, 1 ← 5, 4, 2					486.528	.002
	5, 4, 1 ← 5, 4, 2	5	11/2	6	13/2	486.569	.002
	5, 4, 1 ← 5, 4, 2	5	11/2	4	9/2	486.606	.002
	6, 1, 6 ← 5, 2, 3					138 530.4
	6, 4, 2 ← 6, 4, 3					2 394.56	.05
	7, 1, 7 ← 6, 2, 4					26 880.38	.05
	7, 4, 3 ← 7, 4, 4					8 577.7	.1
	8, 4, 4 ← 8, 4, 5					24 884.77	.05
	9, 5, 4 ← 9, 5, 5					3 044.71	.10
	1O, 5, 5←10, 5, 6					8 836.95	.1
	11, 5, 6←11, 5, 7					22 581.1	.2
	12, 6, 6←12, 6, 7					2 961.	1.
D2O16	3, 1, 3 ← 2, 2, 0	7/2	3	5/2	2	10 919.301	.001
	3, 1, 3 ← 2, 2, 0	9/2	5	7/2	4	10 919.357	.001
	3, 1, 3 ← 2, 2, 0	5/2	4	3/2	3	10 919.521	.001
	3, 1, 3 ← 2, 2, 0	9/2	3	7/2	2	10 919.603	.001
	4, 2, 3 ← 3, 3, 0					43 414.57
	4, 4, 0 ← 5, 3, 3					55 482.32
	4, 4, 1 ← 5, 3, 2					10 947.13	.05
	6, 1, 6 ← 5, 2, 3					90 916.8
HDO17	2, 2, 0 ← 2, 2, 1					10 374.56
	3, , ← 2, ,					23 374.4	.05
	3, , ← 2, ,					23 481.6	.05
	3, , ← 2, ,					23 585.6	.05
	3, , ← 2, ,					23 646.3	.05
	3, , ← 2, ,					24 256.0	.05
	3, , ← 2, ,					24 280.5	.05
	3, , ← 2, ,					24 384.9	.5
	3, , ← 2, ,					24 472.6	.5
	3, , ← 2, ,					24 528.8	.5

Table 3. Microwave spectral lines of formaldehyde.

The Rotational Quantum Numbers are, respectively, J, K₋₁, and K₊₁ upper state followed by J, K₋₁, and K₊₁ of the lower state.

All transitions pertain to ground vibrational state.

Isotopic species	Rotational quantum Nos.	Hyperfine				Frequency MHz	Ace. ±MHz
		${\text{F}}_1^{\prime }$	F’	F1	F
HC12HO16	1, 0, 1← 0, 0, 0 1, 1, 0← 1, 1, 1 2, 0, 2← 1, 0, 1 2, 1, 1← 1, 1, 0 2, 1, 2← 1, 1, 1					72 838.14 4 829.73 145 603.1 150 498.2 140 839.3	.01 .73 .75 .70
	2, 1, 1← 2, 1, 2 3, 0, 3← 2, 0, 2 3, 1, 2← 2, 1, 1 3, 1, 3← 2, 1, 2 3, 2, 0← 2, 2, 0					14 488.65 218 221.6 225 698.2 211 210.6 218 759.4	1.1 1.1 1.1 1.1
	3, 2, 2← 2, 2, 1 3, 1, 2← 3, I, 3 3, 2, 1 ← 3, 2, 2 4, 1, 3← 4, 1, 4 4, 2, 2← 4, 2, 3					218 475.1 28 974.85 355.586 48 284.60 1 065.85	1.1 .005 .02
	5, 1, 4← 5, 1, 5 6, 2, 4← 6, 2, 5 7, 2, 5← 7, 2, 6 8, 2, 6← 8, 2, 7 8, 3, 5← 8, 3, 6					72 409.35 4 954.76 8 884.87 14 726.74 301.10	.01 .01
	9, 2, 7← 9, 2, 8 9, 3, 6← 9, 3, 7 11, 2, 9←11, 2,10 12, 3, 9←12, 3,10 13, 3,10←13, 3,11					22 965.71 601.07 48 612.70 3 225.58 5 136.58	.005 .1 .01 .01
	14, 3,11 ←14, 3,12 15, 3,12 ←15, 3,13 16, 3,13←16, 3,14 17, 3,14 ←17, 3,15 19, 3,16←19, 3,17					7 892.03 11 753.13 17 027.60 24 068.31 45 063.10	.1
	20, 4,16 ← 20, 4,17 21, 4,17 ← 21, 4,18 22, 4,18 ← 22, 4,19 23, 4,19 ← 23, 4,20 24, 4,20 ← 24, 4,21					3 518.85 5 138.57 7 362.60 10 366.51 14 361.54	.5 .5
	25, 4,21 ← 25, 4,22 26, 4,22 ← 26, 4,23 28, 4,24 ← 28, 4,25 31, 5,26 ← 31, 5,27					19 595.23 26 358.82 45 835.58 7 833.20
	1, 1, 0 ← 1, 1, 1 2, 1, 1 ← 2, 1, 2 3, 1, 2 ← 3. 1, 3 4, 1, 3 ← 4, 1, 4 7, 2, 5 ← 7. 2, 6					4 593.26 13 778.86 27 555.73 45 920.08 8 012.56	.5 .5
	9, 2, 7 ← 9, 2, 8 14, 3,11 ← 14, 3,12 16, 3,13 ← 16, 3,14 17, 3,14 ← 17, 3,15 18, 3,15 ← 18, 3,16					20 736.30 6 752.31 14 592.44 20 649.30 28.582.40	.5
HC12HO18	1, 1, 0 ← 1, 1, 1					4 388.85	.5
DC12D016	1, 1, 0 ← 1, 1, 1 2, 1, 1 ← 2, 1, 2 4, 2, 2 ← 4, 2, 3 5, 2, 3 ← 5, 2, 4 6, 2, 4 ← 6, 2, 5					6 096.10 18 287.90 3 687.28 8 519.10 16 759.64	.02 .04
	8, 3, 5 ← 8, 3, 6 9, 3, 6 ← 9, 3, 7 10, 3, 7 ←10, 3, 8 13, 4, 9 ← 13, 4,10 14, 4,10 ← 14, 4,11					2 850.62 5 636.98 10 304.64 3 079.48 5 461.54	.03 .03
	15, 4,11 ← 15, 4,12 16, 4,12 ← 16, 4,13 19, 5,14 ← 19, 5,15					9 259.88 15 080.34 4 508.39	.04
HC12D016	1, 1, 0 ← 1, 1, 1 2, 1, 1 ← 2, 1, 2 3, 2, 1 ← 3, 2, 2 5, 2, 3 ← 5, 2, 4 6, 2, 4 ← 6, 2, 5					5 346.64 16 038.06 644.893 4 489.08 8 922.59	.03 .005 .03
	7, 2, 5 ← 7, 2, 6 10, 3, 7 ← 10, 3, 8 ll, 3, 8 ← 1l, 3, 9 12, 3, 9 ← 12, 3,10 13, 3,10 ← 13, 3,1l					15 907.38 3 283.09 5 702.6 9 412.51 14 873.02	.03
	16, 4,12 ← 16, 4,13 17, 4,13 ← 17, 4,14 18, 4,14 ← 18, 4,15 19, 4,15 ← 19, 4,16 23, 5,18 ← 23, 5,19					2 946.67 4 713.90 7 322.35 11 074.30 3 330.66	.03 .04
	24, 5,19 ← 24, 5,20					5 018.25
HC12D016	1, 1, 0 ← 1, 1, 1					5 156.19	.10