Summary
A method is proposed which allows one, for any given element in a given solid phase for which experimental data on a thermodynamic vibrational quantityf(T e) are available at a temperatureT e, to calculate values of the same quantity at different temperatures and values of other thermodynamic vibrational quantities at any temperature. The quantitiesf(T) here considered are specific heat at constant volumeC v and entropyS. Assumptions on which the method rests are explicitly stated and discussed. The method was checked by comparing expected values derived from its application with available experimental data. Agreement is within two per cent for 51% of cases and within ten per cent for another 36% of all 325 considered cases.
Riassunto
Si propone un metodo che permette di calcolare i valori delle grandezze termodinamiche vibrazionalif(T) di ciascun elemento in una determinata fase solida, a qualsiasi temperatura. Tale metodo richiede la conoscenza di una sola di tali grandezzef(T e) a una determinata temperaturaT e. Le grandezzef(T) qui considerate sono il calore specifico a volume costanteC v e l’entropiaS. Si stabiliscono e si discutono dettagliatamente le ipotesi su cui il metodo si basa. Il metodo è stato verificato confrontando i valori calcolati con i dati sperimentali disponibili. Su 325 casi complessivamente considerati, si è ottenuto un accordo migliore del 2 per cento in 165 casi e migliore del 10 per cento in altri 118 casi.
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References
A. Einstein:Ann. Phys. (Leipzig),22, 180, 800 (1906);34, 170 (1911).
P. Debye:Ann. Phys. (Leipzig),39, 789 (1912).
Handbook of Chemistry and Physics, Chemical Rubber Publishing Company, LI edition (1970–71).
M. W. Zemansky:Heat and Thermodynamics (New York, N. Y., 1968).
D. M. Adams andD. C. Stevenson:J. Phys. C,12, 617 (1978).
I. J. Hosea, D. J. Lockwood andW. Taylor:J. Phys. C,12, 387, (1979).
P. B. Klein, P. C. Taylor andD. J. Treacy:Phys. Rev. B,16, 4501 (1977).
P. B. Klein, P. C. Taylor andD. J. Treacy:Phys. Rev. B,16, 4511 (1977).
A. Larose andB. N. Brockhouse:Can. J. Phys.,54, 1990 (1976).
N. Lehner, K. Strobel, R. Geick andG. Heger:J. Phys. C,8, 4096 (1975).
D. J. Lockwood, G. Mischler, I. W. Johnstone andM. C. Schmidt:J. Phys. C,12, 1955 (1979).
A. P. Miller andB. N. Brockhouse:Can. J. Phys.,49, 704 (1971).
Kh. Sh. Rustamov, V. S. Gorelik, Yu. S. Kuz’minov, G. V. Peregudov andM. M. Sushchnskii:Sov. Phys. Solid State,18, 1988 (1976).
C. Stassis, J. Zarestky, D. Arch, O. D. McMasters andB. N. Harmon:Phys. Rev. B,18, 2632 (1978).
C. M. Eisenhauer, I. Pelah, D. J. Hughes andH. Palevsky:Phys. Rev.,109 1046 (1958).
W. N. Hubin andD. M. Ginsberg:Phys. Rev.,188, 716 (1969).
E. H. Jacobsen:Phys. Rev.,97, 654 (1955).
J. W. Lynn, H. G. Smith andR. M. Nicklow:Phys. Rev. B,8, 3493 (1973).
L. J. Raubenheimer andG. Gilat:Phys. Rev.,157, 586 (1967).
C. B. Walker:Phys. Rev.,103, 547 (1956).
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Costa, S., Costanzo, E., Oliveri, M. et al. Correlations between thermodynamic vibrational quantities. Nuov Cim B 62, 203–218 (1981). https://doi.org/10.1007/BF02721260
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DOI: https://doi.org/10.1007/BF02721260