Thermodynamic functions of (InP)_x(InAs)_1‐x from 5 to 300 K

Abstract

Thermodynamic Functions of (InP)z(InAs),-, from 5 to 300 K Temperature dependence of the heat capacity of the solid solutions (InP),(InAs)l-, has been investigated over the temperature range from 5 to 300 K. Solid solution samples with z = 1; 0.8; 0.6; 0.4; 0.2; 0.1; 0 produced by means of crystallization from the melt the following annealing and diffusion in the powder a t temperature close to solidus have been studied. The absolute values of enthalpy H , entropy S, Gibbs free energy 2 as well as their deviations from the additive values have been obtained for the (InP),(InAs)l -z system from the analysis of the thermodynamic properties of the solid solutioiis of the 111-V compounds at low temperatures. The curves for the characteristic temperatures

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

“…Furthermore, towards higher temperatures, many Θ ( ) curves show a more or less pronounced increase up to certain material-specific maxima, Θ max , the actual magnitudes of which are in many cases significantly higher than the respective Θ min levels. Such typical nonmonotonic behaviours of Θ ( ) curves in the cryogenic region have been found in particular for Si and Ge [18][19][20][21] as well as for a large variety of III-V [11,12,15,[22][23][24][25][26][27][28][29][30], II-VI [14,[31][32][33][34][35][36][37][38], and I-VII [16,39,40] materials.…”

“…In view of the sample character of the numerical analyses performed within the present study for the unusually fine and comprehensive low ( ) data provided (27) and (28)). 3) a high-precision framework for the ( ) dependence.…”

“…Note that we have still endowed the ( ) functions in (27) and (28) by an additional subscript "ℎ" (included in brackets) in order to indicate that precisely the same formulas can also be used, alternatively, for high-accuracy calculations of the "true" Debye temperatures, Θ ℎ ( ), which are visualizing the characteristic non-Debye features of the harmonic parts of lattice heat capacity curves, ℎ ( ) (see (4); Figures 4 and 5). By means of this couple of the high-accuracy formulas (27) and (28) we have performed, first of all, the point-bypoint transformations, ( ) ⇒ Θ ( ), for all those isobaric heat capacity data points, ( ), with respect to which the concept of effective Debye temperatures is actually applicable, that is, for ( ) < ℎ (∞) = 6 (cf. Figures 2 and 3).…”

“…Furthermore, we have transformed in the same way (i.e., via (27) or (28) [34] (+), [10] (◊), [79] (◻), [80] (e), and [78] ( )). The continuous curve for the true Debye temperature, Θ ℎ ( ) (-----), is due to (28) in combination with (9) for the isochoric (harmonic) heat capacity shape function, ℎ ( ) ≡ ℎ ( )/6 (according to the parameters listed in Table 1).…”

“…The continuous curve for the true Debye temperature, Θ ℎ ( ) (-----), is due to (28) in combination with (9) for the isochoric (harmonic) heat capacity shape function, ℎ ( ) ≡ ℎ ( )/6 (according to the parameters listed in Table 1). The continuous curve for effective Debye temperature, Θ ( ) (solid curve), is due to (27) and (28) in combination with (5) and (9) for the associated isobaric (anharmonic) heat capacity shape function, ( ) ≡ ( )/6 . The dotted curve (in the inset) shows the low-temperature dependence of the true Debye temperature, Θ ℎ ( ), according to (30).…”