An Etymological Dictionary of Astronomy and Astrophysics

A model for the → specific heat of solids in which the specific heat is due to the vibrations of the atoms of the solids. The vibration energy is → quantized and the atoms have a single frequency, ν. Put forward in 1907 by Einstein, this model was the first application of → quantum theory to the solid state physics. The expression for the specific heat is given by: C_V = 3Rx²e^x/(e^x -1)², where R is the → gas constant, x = T_E/T, T_E = hν/k, h is → Planck’s constant, and k is → Boltzmann’s constant.
T_E is called the → Einstein temperature. This model could explain the temperature behavior of specific heat but not very satisfactorily at low temperatures. It has therefore been superseded by the → Debye model. See also → Dulong-Petit law.

See also: Albert Einstein in 1907; → model.