Fits to AJ shear modulus calculations from ρ0 to the limit of the corresponding AJ EOS table (usually 1000 ρ0), adjusted to reproduce STP shear modulus where possible. Fitting minimized the fractional difference, so low-pressure points would be reproduced accurately despite the wide-ranging tabulation.
AJ calculations were at T=0. Isochoric variation G(T) has been small for all cases spot-tested so far, and may have either sign.
Equation used:
The fitted equation usually matches the AJ data to within a few percent. Between numerical noise in the AJ calculation and probably-physical structure not captured by the equation, the deviation could be up to 20% in some places in most models, and 30% in a few.
AJ does not capture structural phase transitions or phases stabilized by directional bonds, where the shear modulus may vary by a greater amount.
Where possible, STP ρ,G were used as parameters, and low pressure AJ points were deweighted or removed if necessary. Otherwise, such as where AJ fails to capture solid phases with a significantly different shear modulus, the AJ data were fitted as far down in pressure as possible, G0 was also fitted if necessary, and ρ0 was also adjusted if needed to keep G0>0. The resulting models are not intended for use at low pressure, though some are probably adequate for practical purposes.
| ρ0 (g/cm3) | G0 (GPa) | μt | G1 (GPa) | p1 | Notes | |
|---|---|---|---|---|---|---|
| Ag | 10.49 | 30 | 6.0 | 9.5e2 | 1.81 | |
| Al | 2.7 | 26 | 1.7 | 2.2e2 | 1.686 | |
| Ar | 1.5 | 0.025 | 17 | 64 | 1.72 | ≥3 g/cm3. ρ0 is arbitrary. G0 consistent with zero. |
| Au | 19.3 | 27 | 9.7 | 2.2e3 | 1.81 | |
| Be | 1.85 | 132 | 2 | 1.8e2 | 1.54 | |
| Bi | 9.78 | 12 | 6.3 | 2.4e2 | 1.98 | Uses STP ρ, G but otherwise >100 GPa |
| C | 3.52 | 280 | 13 | 1.64e3 | 1.378 | ≥7 g/cm3 |
| Cd | 8.65 | 19 | 5.8 | 5.0e2 | 1.86 | |
| Co | 8.90 | 75 | 11 | 1.5e3 | 1.69 | ≥11 g/cm3 |
| Cr | 7.19 | 115.0 | 6.7 | 9.0e2 | 1.71 | |
| Cu | 8.96 | 48 | 8.1 | 1.40e3 | 1.704 | |
| Fe | 7.874 | 52.5 | 9.3 | 1.2e3 | 1.68 | |
| Ga | 5.91 | 3.33 | 10 | 6.0e2 | 1.73 | ≥100 GPa |
| Ge | 5.323 | 41 | 12.7 | 5.4e2 | 1.71 | ≥10 g/cm3, but used dia ref values |
| H | 0.5 | 14.5 | 3.0 | 8.2e1 | 1.43 | ≥ρ0 which is arbitrary, and ≤500 g/cm3. |
| H | 0.5 | 15 | 3.9 | 1.03e2 | 1.379 | ≥ρ0 which is arbitrary, and ≤500000 g/cm3. |
| 2H | 1.0 | 10.7 | 1.5 | 6.1e1 | 1.50 | ≥ρ0 which is arbitrary. |
| He | 0.5 | 0.3 | 26 | 55 | 1.390 | ≥2 g/cm3. ρ0 is arbitrary. G0 consistent with zero. |
| Hf | 13.31 | 69 | 52 | 5e3 | 1.56 | ≥16 g/cm3 |
| Hg | 15 | 1.8 | 12 | 1.3e3 | 1.82 | ρ0 approximate. G0 consistent with zero. |
| I | 8.0 | 18 | 2.16 | 2.65e2 | 1.94 | ≥ρ0, which is arbitrary. |
| In | 7.31 | 10.3 | 5.3 | 3.5e2 | 1.866 | |
| Ir | 22.56 | 210 | 11.5 | 4.2e3 | 1.738 | |
| Kr | 3.0 | 0 | 18 | 1.3e2 | 1.79 | ≥ρ0, which is arbitrary. |
| Lu | 9.841 | 27.2 | 74 | 3.2e3 | 1.56 | |
| Mg | 1.738 | 19 | 1.8 | 87 | 1.73 | for 3 to 1000 g/cm3 |
| Mg | 1.738 | 3.0e4 | 140 | 8.0e2 | 1.39 | ≥100 g/cm3 |
| Mn | 7.21 | 76.4 | 10 | 1.1e3 | 1.67 | |
| Mo | 10.28 | 135 | 7.7 | 1.3e3 | 1.75 | fitted G0 |
| Nb | 8.57 | 79 | 5.5 | 8.0e2 | 1.79 | fitted G0 |
| Ne | 4.8 | 600 | 7.3 | 1.0e3 | 1.57 | for 12 to 5000 g/cm3. ρ0 is arbitrary. |
| Ne | 4.8 | 900 | 22 | 2.7e3 | 1.40 | ≥20 g/cm3. ρ0 is arbitrary. |
| Ni | 8.908 | 76 | 10 | 1.8e3 | 1.67 | |
| O | 6 | 24 | 11.6 | 3.6e3 | 1.392 | ≥ρ0, which is arbitrary. |
| Os | 22.59 | 222 | 13.2 | 4.8e3 | 1.717 | |
| Pb | 11.34 | 5.6 | 9 | 4.6e2 | 1.91 | |
| Pd | 12.023 | 44 | 7 | 1.6e3 | 1.75 | |
| Pt | 21.45 | 61 | 66.9 | 4.8e4 | 1.33 | |
| Re | 21.02 | 178 | 14 | 4e3 | 1.725 | |
| Rh | 12.41 | 150 | 8 | 2.2e3 | 1.71 | |
| Ru | 12.45 | 173 | 206 | 1.1e5 | 1.11 | |
| S | 3.5 | 5 | 4.3 | 4.0e2 | 1.68 | ≥ρ0, which is arbitrary. |
| Sb | 8.0 | 11 | 2.9 | 3.2e2 | 1.90 | ≥ρ0, which is arbitrary. |
| Sc | 5.0 | 173 | 5 | 3.9e2 | 1.77 | ≥15 g/cm3. ρ0 is arbitrary. |
| Si | 2.329 | 11 | 3.7 | 2.1e2 | 1.69 | ≥100 GPa |
| Sn | 7.265 | 8 | 4.2 | 2.9e2 | 1.89 | >7.5 g/cm3 |
| Ta | 16.69 | 69 | 81 | 1.9e4 | 1.41 | |
| Tc | 11.0 | 65 | 5.3 | 1.3e3 | 1.77 | |
| Ti | 4.506 | 270 | 10.6 | 4.3e2 | 1.71 | ≥150 GPa |
| Tl | 11.85 | 2.8 | 11 | 6.2e2 | 1.88 | |
| V | 6.11 | 380 | 12 | 9e2 | 1.66 | >10 g/cm3 |
| W | 19.3 | 161 | 16 | 3.7e3 | 1.72 | |
| Xe | 3.5 | 0.32 | 7.4 | 50 | 1.955 | ρ0 approximate |
| Y | 10.0 | 290 | 4.0 | 9.4e2 | 1.82 | ≥ρ0, which is arbitrary. |
| Zn | 7.14 | 43 | 9.8 | 9.2e2 | 1.72 | |
| Zr | 6.52 | 210 | 9.8 | 5.4e2 | 1.78 | ≥100 GPa |