Temperature variation of Grüneisen parameter in alkali metals

1980 ◽  
Vol 48 (1) ◽  
pp. 109-116
Author(s):  
L. P. Pathak ◽  
B. P. Singh ◽  
M. P. Hemkar
1972 ◽  
Vol 41 (2) ◽  
pp. 161-162 ◽  
Author(s):  
U.S. Tandon ◽  
S.K. Pandey

1966 ◽  
Vol 18 (1) ◽  
pp. 119-124 ◽  
Author(s):  
R. P. Gupta ◽  
P. K. Sharma ◽  
S. Pal

A systematic investigation of the temperature variation of the effective Grüneisen parameter, γ eff. , has been carried out for the caesium chloride structure, on a model incorporating the Coulomb potential between the ions and a nearest neighbour interaction varying as r -n . As the value of n is increased from 8 to 30, the low temperature limit γ 0 of γ eff. is progressively reduced, while the high temperature limit γ ∞ increases. The value of γ 0 — γ ∞ is positive for n ≤ 15 and changes sign for n ≥ 20. Thus the trend and the extent of the temperature variation of γ eff. are sensitive to the value of n in the caesium chloride lattice. On the other hand in the NaCl lattice, the trend of the temperature variation of γ eff. is not affected by a variation of n . For n ≈ 16, the γ eff. value appears to be independent of temperature, though the individual Grüneisen parameters for the lattice frequencies vary widely. This case is an example of a type of perfect Grüneisen solid, the condition for the existence of which was given by Blackman. The Houston method with a constant normalization factor is shown to yield the correct trend of the temperature variation of γ eff. . A more elaborate normalization procedure alters the γ eff. values only slightly. Varying the ratio of the ionic masses has only a slight effect on γ( p ) and γ eff. . From the recently measured elastic data, it appears probable that the value of n pertinent to the caesium halides is about 15. n may increase slightly with increasing size of the anion. If this value of n is correct, the effective Gruneisen parameters for the caesium halides must vary only slightly with temperature. Probably one of the caesium halides will exhibit closely the behaviour of a perfect Grüneisen solid.


1984 ◽  
Vol 62 (2) ◽  
pp. 109-114 ◽  
Author(s):  
V. B. L. Mehrotra ◽  
R. M. Misra ◽  
Ram Singh ◽  
D. D. Shukla ◽  
M. N. Sharma ◽  
...  

The parameters C1 = [∂(1/KT)/∂P]T, which describes the pressure variation of the compressibility, δT, the isothermal Anderson–Grüneisen parameter, and mT = (∂ ln KT/∂T)P, which describes the temperature variation of the compressibility, have been investigated for some face-centred cubic (f.c.c.) and body-centred cubic (b.c.c.) types of ionic crystals using a central force, rigid-ion interaction approach employing fewer approximations than has been usual heretofore. A theoretical estimate of these parameters is made by using thermodynamic relationships, including the expression for the parameter q that describes the volume variation of the Grüneisen parameter, and choosing a few modified and realistic potential functions. The results compare well with the available experimental data and exhibit an essential improvement over other theoretical determinations.


1987 ◽  
Vol 43 (3) ◽  
pp. 399-411 ◽  
Author(s):  
Alicia Batana ◽  
María C. Monard ◽  
María Rosario Soriano

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