Debye model

E518983

solid-state physics concept theoretical model

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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Observed surface forms (4)

Surface form	Occurrences
Debye model of solids	1
Debye model of specific heat	1
Einstein model of solids	1
Einstein model of specific heat	1

Statements (48)

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 NERFINISHED ⓘ Debye wavevector NERFINISHED ⓘ
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 NERFINISHED ⓘ
limitation	assumes isotropic sound velocity ⓘ neglects optical phonon branches ⓘ
mathematicalForm	integral over phonon frequencies up to Debye cutoff ⓘ
namedAfter	Peter Debye NERFINISHED ⓘ
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 NERFINISHED ⓘ Einstein model NERFINISHED ⓘ 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 NERFINISHED ⓘ acoustic phonons ⓘ cutoff frequency ⓘ density of states ⓘ phonon spectrum ⓘ quantized vibrational modes ⓘ
usesConstant	Boltzmann constant NERFINISHED ⓘ
usesQuantity	Avogadro constant NERFINISHED ⓘ
yearProposed	1912 ⓘ

Referenced by (5)

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

Dulong–Petit law → contrastedWith → Debye model ⓘ

this entity surface form: Einstein model of specific heat

Dulong–Petit law → contrastedWith → Debye model ⓘ

this entity surface form: Debye model of specific heat

Peter Debye → knownFor → Debye model ⓘ

Dulong–Petit law for molar heat capacity of many solids at high temperature → relatedConcept → Debye model ⓘ

this entity surface form: Einstein model of solids

Dulong–Petit law for molar heat capacity of many solids at high temperature → relatedConcept → Debye model ⓘ

this entity surface form: Debye model of solids