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.

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.

References in periodicals archive ?
The Debye model is developed to noninteracting identical dipoles [31].
The Debye model has been widely used to describe the dielectric response arising by the dipolar relaxation [18,19].
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.
The inner winding and metallic frame are considered perfect electric conductors while the toroidal ferrite core has a complex permeability given by the following Debye model [17].
Complex and frequency dependent dielectric permittivity is modeled with Debye model (Eq.
The Debye model for the complex permittivity is as follow:
Appendix A contains an analytical proof that the real and imaginary parts of permittivity in the first-order Debye model are related as the KKR.
The Debye model of relaxation assumes that dipoles relax individually with no interaction between dipoles and with no inertia, but includes frictional forces.
The procedure employed here for fitting a Debye model to Cole-Cole data was previously described in [17].
Thus, the Debye model correctly showed that the heat capacity is proportional to the [T.
The compensation can be done with analitical equations (in an Excel sheet) based on the wide band Debye model.