Die Plancksche Theorie der Strahlung und die Theorie der spezifischen Wärme¶
Einstein, A. (1907). Die Plancksche Theorie der Strahlung und die Theorie der spezifischen Wärme. Annalen der Physik, 22, 180-190.
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Primes¶
- Degrees of Freedom
- The equipartition law breaks down at low temperature, where quantum mechanics "freezes out" high-frequency degrees of freedom; Einstein (1907) captured this freezing
This sourceApplies Planck's quantum hypothesis to the Einstein-solid model; shows vibrational degrees of freedom "freeze out" at low temperature as the quantum energy gap exceeds k_B T, explaining departures from classical equipartition (Dulong–Petit) in specific heats.
- The equipartition law breaks down at low temperature, where quantum mechanics "freezes out" high-frequency degrees of freedom; Einstein (1907) captured this freezing
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