Research Article
Unprecedented Integral-Free Debye Temperature Formulas: Sample Applications to Heat Capacities of ZnSe and ZnTe
Table 7
High-accuracy sample values for Debye’s normalized heat capacity shape function, (A.1), which are directly comparable with their somewhat more restricted precedents listed in [6, 47] (up to 6 or 8 significant figures, resp.). The individual high-accuracy values have been calculated here for the interval , via the unprecedented high-capacity (high-temperature) Taylor series expansion, (A.11) and, for the interval , by means of Debye’s conventional low-capacity (low-temperature) expansion, (A.4) (note that a simple asymptotic expression, , applies to > 40). For comparisons with numerical results quoted in mathematical standard literature (see, e.g., Table in [90]) we have listed here also the respective magnitudes of the conventional Debye function, (for 3-dimensional systems), (according to (A.2) and (A.3)).
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