Debye model

E518983

The Debye model is a theoretical approach in solid-state physics that explains the heat capacity of crystalline solids by treating their lattice vibrations (phonons) as a spectrum of quantized modes up to a maximum cutoff frequency.

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Predicate Object
instanceOf solid-state physics concept
theoretical model
appliesTo crystalline solids
insulating solids
approximates vibrational spectrum of a crystal
assumes 3N normal modes for N atoms
continuous distribution of vibrational modes
isotropic elastic continuum
linear dispersion relation at low frequencies
category lattice dynamics model
thermodynamic model
cutoffParameter Debye frequency
Debye temperature
Debye wavevector
linked to: Debye model
describes heat capacity of crystalline solids
lattice vibrations
phonons
explains T^3 law for heat capacity at low temperatures
low-temperature heat capacity of solids
field condensed matter physics
solid-state physics
statistical mechanics
improvesOn Einstein model of heat capacity
influenced development of phonon theory
introducedBy Peter Debye
limitation assumes isotropic sound velocity
neglects optical phonon branches
mathematicalForm integral over phonon frequencies up to Debye cutoff
namedAfter Peter Debye
predicts Dulong–Petit law as high-temperature limit
heat capacity proportional to T^3 at low temperature
heat capacity tends to 3Nk_B at high temperature
relatedTo Debye function
Einstein model
phonon theory of solids
temperatureRegime low temperatures
usedFor estimating Debye temperature from heat capacity data
modeling thermal properties of solids
usesConcept Debye frequency
Debye temperature
acoustic phonons
cutoff frequency
density of states
phonon spectrum
quantized vibrational modes
usesConstant Boltzmann constant
usesQuantity Avogadro constant
yearProposed 1912

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Referenced by (11)

Full triples — surface form annotated when it differs from this entity's canonical label.

Peter Debye knownFor Debye model
Dulong–Petit law contrastedWith Einstein model of specific heat
linked to: Debye model
Dulong–Petit law contrastedWith Debye model of specific heat
linked to: Debye model
Peter Debye knownFor Debye model of specific heat
subject linked to: Debije
linked to: Debye model
Debye model cutoffParameter Debye wavevector
linked to: Debye model
Debye temperature relatesTo Debye model
Debye temperature usedIn Debye heat capacity formula
linked to: Debye model
Debye temperature appearsIn Debye T^3 law for heat capacity
linked to: Debye model
Petrus Josephus Wilhelmus Debije knownFor Debye model of specific heat
linked to: Debye model