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.

All labels observed (8)

How this entity was disambiguated

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 ⓘ
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 ⓘ

How these facts were elicited

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