Research Article

Unprecedented Integral-Free Debye Temperature Formulas: Sample Applications to Heat Capacities of ZnSe and ZnTe

Table 4

Pieces of evidence of the close correlation between the characteristic cryogenic non-Debye features of the curves (see the insets of Figures 2 and 3) and the respective Debye temperature curves, (see Figures 4 and 5). The prominent features of the curves are characterized by the levels for the lattice heat capacity, , the coordinates of their maxima, and , and the respective elevation ratios, > 1. The curves are characterized above all by the limiting () levels, , the coordinates of their minima, and , and the corresponding drop ratios, < 1. The material-specific ratios are quoted for comparisons with the general condition (cf. Section 5) of close approach to asymptotic behaviour due to (25). Furthermore, the maximum values of the effective Debye temperatures, , the theoretical high-temperature limiting value of the true Debye temperature, (42), and several characteristic ratios, the approximate equality of which, for both materials, is indicating their high degree of similarity, are quoted. Particularly the large deviations from unity of the cryogenic drop ratios, 0.76, and of the ratios for the subsequent rise to maxima, 1.5, illustrate the considerable strength of -related variations of Debye temperatures for both materials under study.

MaterialZnSeZnTe

(μJ⋅K−4 mol−1)197.5365.0
(K)16.913.6
(μJ⋅K−4 mol−1)440.0855.7
2.2282.344
1.3061.328

(K)270220
(K)17.313.9
15.615.8
(K)206.3165.4
1.3091.330
11.911.9

(K)305.7252.3
1.4821.525
(K)317262
0.8520.840
0.6510.631