- Autor(in)
- Referenz
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10 W. B. Holzapfel in Molecular Systems under high pressure, R. Pucci, G. Picchito (eds.), Elsevier, North-Holland 1991
11 D. J. Steinberg, J. Phys. Chem. Sol 38 (1977) 175
12 M. L. Klein, J. A. Venables (eds.), Rare Gas Solids, Acad. Press, London 1976
13 C. Kittel, Introduction to Solid State Physics, J. Wiley & Sons, New York 1968
14 M. W. Zemanski, R. H. Dittman, Heat and Thermodynamics, McGraw Hill, New York 1981, p. 267
15 G. C. Kennedy, R. N. Keeler, in: American Institute of Physics Handbook, D. E. Gray (ed.), Mc Graw-Hill, New York 1972
1 E. Grüneisen, Ann. Physik 39 (1912) 258
2 J. E. Lennard-Jones, A. E. Ingham, Proc. Roy. Soc. London A 107 (1925) 636
3 J. C. Slater, Rev. Mod. Phys. 6 (1934) 209
4 F. D. Murnaghan, Am. J. Math. 59 (1937) 235
5 J. Bardeen, J. Chem. Phys. 6 (1938) 372
6 M. Born, J. Chem. Phys. 7 (1939) 591
7 F. Birch, Phys. Rev. 71 (1947) 809
8 F. Birch, J. Phys. Chem. Sol 38 (1977) 175
9 P. Vinet, J. Ferrante, J. R. Smith, J. H. Rose, J. Phys. C 19 (1986) L467
- Seitenbereich
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0281 - 0287
- Schlagwort(e)
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<KWD>Pressure coefficient
Bulk modulus
Equation of state
- Zusammenfsg.
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The Grüneisen relation Γ = α<sub><I>p</I></sub> <I>K<sub>T</sub>V/C</I><sub>ν</sub> has been integrated with respect to <I>T</I> at constant volume. This leads to a potential <I>E</I>(<I>V</I>) with the two exponents Γ = <I>m</I>/3 and δ = <I>n</I>/3. The Grüneisen constant Γ is the exponent of the repulsive term. The exponent δ of the attractive term may be determined from heat capacity, thermal expansion and cohesive energy, δ = <I>C<sub>p</sub></I>/α<sub><I>p</I></sub>/ε<sub><I>c</I></sub>.
The pressure coefficient of the bulk modulus of an <I>m</I>-<I>n</I> potential <I>E</I>(<I>V</I>) is given by <I>K</I><sub>0</sub>´ = <I>m</I>/3 + <I>n</I>/3 + 2. According to the calculations above we obtain <I>K</I><sub>0</sub>´ from thermophysical data by <I>K</I><sub>0</sub>´ = Γ + δ + 2 = α<sub><I>p</I></sub>K<sub>T</sub><I>V/C</I><sub>ν</sub> + <I>C<sub>p</sub></I>/α<sub><I>p</I></sub>/ε<sub><I>c</I></sub> + 2, with <I>K</I><sub>0</sub>´ = 4-5 for alkali metals, <I>K</I><sub>0</sub>´ = 5.2-6.2 for transition metals and <I>K</I><sub>0</sub>´ = 7-8 for solid rare gas crystals. This is in good agreement with high pressure data.
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