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 SolidHistorical Impact, Heat Capacity (microcanonical Ensemble), Heat Capacity (canonical Ensemble)

Other articles related to "einstein solid, solid, einstein":

Einstein Solid - Heat Capacity (canonical Ensemble)
... heat capacity, energy, and entropy of the solid are equally distributed among its atoms (SHOs), we can work with this partition function to obtain those quantities and then ... The heat capacity of the entire solid is then given by, where the total number of degree of freedom of the solid is three (for the three directional degree of freedom) times, the number of atoms ... It is known as the Einstein temperature ...

Famous quotes containing the words solid and/or einstein:

    Rude poets of the tavern hearth,
    squandering your unquoted mirth,
    which keeps the ground, and never soars,
    while jake retorts, and reuben roars;
    tough and screaming, as birch-bark,
    goes like bullet to its mark;
    while the solid curse and jeer
    never balk the waiting ear.
    Ralph Waldo Emerson (1803–1882)

    If my theory of relativity is proven correct, Germany will claim me as a German and France will declare that I am a citizen of the world. Should my theory prove untrue, France will say that I am a German and Germany will declare that I am a Jew.
    —Albert Einstein (1879–1955)