Einstein Solid

The Einstein solid is a model of a solid based on two assumptions:

  • Each atom in the lattice is an independent 3D quantum harmonic oscillator
  • All atoms oscillate with the same frequency (contrast with the Debye model)

While the assumption that a solid has independent oscillations is very accurate, these oscillations are sound waves or phonons, collective modes involving many atoms. In the Einstein model, each atom oscillates independently. Einstein was aware that getting the frequency of the actual oscillations would be different, but he nevertheless proposed this theory because it was a particularly clear demonstration that quantum mechanics could solve the specific heat problem in classical mechanics.

Read more about Einstein Solid:  Historical Impact, Heat Capacity (microcanonical Ensemble), Heat Capacity (canonical Ensemble)

Famous quotes containing the words einstein and/or solid:

    “In so far as the statements of geometry speak about reality, they are not certain, and in so far as they are certain, they do not speak about reality.”
    —Albert Einstein (1879–1955)

    “Manuel showed her his open hand: “Look at this finger, how meager it seems, and this one even weaker, and this other one no stronger, and this one all by himself and on his own.”
    Then he made a fist: “But now, is it strong enough, big enough, solid enough? It seems so doesn’t it?””
    —Jacques Roumain (1907–1945)