Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 15.2-3

THE CANONICAL FORMALISM; STATISTICAL MECHANICS IN HELMHOLTZ REPRESENTATION

Physics — Statistical Mechanics · einstein-model-volume-dependent-frequency

Problem

Assume that the Einstein frequency ω0\omega_0 for a particular crystal depends upon the molar volume: ω0=ω00−Aln⁡(vv0)\omega_0 = \omega_0^0 - A\ln\left(\frac{v}{v_0}\right) a) Calculate the isothermal compressibility of this crystal. b) Calculate the heat transfer if a crystal (of one mole) is compressed at constant temperature from viv_i to vfv_f.

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