Table 5.
Compilation of existing measurements of the molar volume of solid deuterium.
| References | Sample (% para) | Temperature | Measured molar volume (cm3/mole) | Molar volume corrected to 18.7 Ka (cm3/mole) |
|---|---|---|---|---|
| Mucker et al. (1965) [62] | 33% | 13 K | 20.08 (±0.12)b | 20.39±0.12 |
| neutron powder diffraction | 2% | 13 K | 20.08 (±0.12)b | 20.41±0.12 |
| Schuch and Mills (1966) [60] | 33 – 65%c | 1..5 K | 19.80±0.20d | 20.28±0.20 |
| x-ray powder diffraction | ||||
| Bostanjoglo and Kleinschmidt (1967) | 33% | 4.2 K | 19.90±0.11 | 20.37±0.11 |
| [61] electron powder diffraction | ||||
| Mucker et al. (1968) [63] | 3% | 12.9 K | 20.02 (±0.12)e | 20.33±0.12 |
| neutron powder diffraction | 33% | 10.2 K | 19.91 (±0.12)e | 20.33±0.12 |
| 63% | 2.0 K | 19.74 (±0.12)e | 20.32±0.12 | |
| 80% | 10.5 K | 19.84 (±0.12)e | 20.37±0.12 | |
| 80% | 4.2 K | 19.85 (±0.12)e | 20.46±0.12 | |
| Nielsen (1973) [64] | 2% | 5.0 K | 19.94 (±0.03)f | 20.39±0.04 |
| single-crystal neutron diffraction | ||||
| Yarnell et al. (1975) [65] | 2% | 4.2 K | 19.994±0.013 | 20.45±0.03 |
| neutron powder diffraction |
This calculation is done in three steps. First, the measured molar volume is corrected according to the prescription of Driessen et al. [14] to the value corresponding to zero percent para at the same temperature. Next, the temperature correction is made to 18.7 K using the analytic expression for the linear thermal expansion by Nielsen [64]. Finally, the o-D2 volume is corrected at 18.7 K to that of n-D2 again according to reference [14]. We assume a error of ±0.03 cm3/mole for this calculation. The accuracy limit in column 5 is taken as the square root of the sum of the squares of the error limit in column 4 and the assumed error in the temperature correction.
Estimated error assumes ±0.005 A uncertainty in a and ±0.005 in c/a.
No trend was observed in the hcp molar volume with para concentration.
We set the uncertainty limit equal to the observed data scatter.
The ±0.6% volume error was calculated from the quoted ±0.2% uncertainty in the nearest neighbor distance.
The ±0.15% volume error was calculated with an assumed 0.05% uncertainty for the lattice parameter measurements.