Debye Temperature

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Debye temperature

[də′bī ′tem·prə·chər]
(solid-state physics)
The temperature θ arising in the computation of the Debye specific heat, defined by k θ = h ν, where k is the Boltzmann constant, h is Planck's constant, and ν is the Debye frequency. Also known as characteristic temperature.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Debye Temperature

 

a physical constant of matter that characterizes numerous properties of solids, such as specific heat, electric conductivity, thermal conductivity, broadening

Table 1
MetalθpSemiconductoθDDielectricθo
Hg...............60–90...............Sn (gray)...............212AgBr150
Pb...............94.5...............Ge...............366NaCI320
Na...............160...............Si...............658Diamond1,850
Ag...............225............... 
W...............270............... 
Cu...............339............... 
Fe...............467............... 
Be...............1,160............... 

of X-ray spectral lines, and elastic properties. The concept was first introduced by P. Debye in his theory of specific heat. The Debye temperature is defined by the equation

θD = h vD/k

where k is Boltzmann’s constant, h is Planck’s constant, and vD is the maximum frequency of the vibrations of a solid’s atoms. The Debye temperature indicates the approximate temperature limit below which quantum effects may be observed. At temperatures T ≫ θD the specific heat of a crystal consisting of atoms of one type at constant volume is Cr = 6 cal (°C. mole)-1, which agrees with Dulong and Petit’s law. At T ≪ θD the specific heat is proportional to (Γ/θp,)3 (the Debye T3 approximation).

Typical values of the Debye temperature for some substances are given in degrees Kelvin in Table 1.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
The purpose of this work is XAFS study of the thermodynamic properties and anharmonic effects of materials based on the anharmonic correlated Debye model (ACDM) DWFs presented in terms of cumulant expansion up to the third order.
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Based on the Debye model, Peterson first applied the MC method to solve thermal transport in a one-dimensional model by simplifying the phonon group velocities and polarization [29].
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Sometimes it is necessary to recur to a theoretical dispersion model to be taken as reference, like the Debye model, with one or several relaxation times, or the Lorentz model.
The interest in the calculation of the Debye temperature has been increasing in both semi- empirical and theoretical phase diagram calculations since the Debye model offers a simple but very effectual method to explain the phonon contribution to the Gibbs energy of crystalline phases.
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