Why isn't molar heat capacity explained by the classical model?

Robert Storm

New member
I understand that the quantization of energy (like in the einstein-debye model) is necessary to accurately explain the temperature dependence of molar heat capacity. I understand that the oscillators in each degree of freedom are inactive until they obtain the requisite excitation energy. I understand that, in the classical model, the energy bestowed upon each degree of freedom would be represented as an oscillation of intermediate frequency (between the ground state and the first excited state)- but this is not what is observed. Instead of the continuous frequency distribution of oscillators as represented by the classical model, the quantization of energy accurately models what is observed- that the oscillations occur in discrete frequencies, or quantized packets of energy. So, can someone give me an example of why the classic model fails and the quantum model prevails? I feel like I SORT of get it, but I'm kind of babbling. Can someone set me straight? What evidence is there to suggest that the classic model is incorrect and the einstein-debye model of the temperature dependence of heat capacity is correct?
 
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