Class SolidStatePhysics

java.lang.Object

org.episteme.natural.physics.classical.matter.solidstate.SolidStatePhysics

public class SolidStatePhysics
extends Object

Solid state physics calculations.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Field Summary

Fields

Modifier and Type	Field	Description
static final Real	BANDGAP_GAAS
static final Real	BANDGAP_GAN
static final Real	BANDGAP_GE
static final Real	BANDGAP_INP
static final Real	BANDGAP_SI
static final Real	E	Elementary charge (C)
static final Real	H	Planck constant (J·s)
static final Real	HBAR	Reduced Planck constant
static final Real	K_B	Boltzmann constant (J/K)
static final Real	M_E	Electron mass (kg)

Constructor Summary

Constructors

Constructor	Description
SolidStatePhysics()

Method Summary

Modifier and Type	Method	Description
static Real	boseEinstein(Real frequency, Real temperature)	Bose-Einstein distribution for phonons.
static Real	conductivityFromBandGap(Real sigma0, Real bandGap, Real temperature)	Band gap from semiconductor conductivity temperature dependence.
static Real	debyeFrequency(Real soundVelocity, Real atomDensity)	Debye frequency.
static Real	debyeTemperature(Real debyeFrequency)	Debye temperature.
static Real	densityOfStates(Real electronDensity, Real fermiEnergy)	Density of states at Fermi level (3D free electrons).
static Real	drudeConductivity(Real carrierDensity, Real relaxationTime, Real effectiveMass)	Drude conductivity.
static Real	effectiveMass(Real bandCurvature)	Effective mass from band curvature.
static Real	fermiDirac(Real energy, Real mu, Real temperature)	Fermi-Dirac distribution.
static Real	fermiEnergy(Real electronDensity)	Fermi energy for free electron gas.
static Real	fermiVelocity(Real electronDensity)	Fermi velocity. v_F = ℏk_F / m
static Real	hallCoefficient(Real carrierDensity, boolean isElectron)	Hall coefficient.
static Real	intrinsicCarrierConcentration(Real Nc, Real Nv, Real bandGap, Real temperature)	Intrinsic carrier concentration.
static Real	mobility(Real conductivity, Real carrierDensity)	Mobility from conductivity and carrier density.
static Real	phononEnergy(Real frequency)	Phonon energy.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Details

H

public static final Real H

Planck constant (J·s)

HBAR

public static final Real HBAR

Reduced Planck constant

K_B

public static final Real K_B

Boltzmann constant (J/K)

M_E

public static final Real M_E

Electron mass (kg)

E

public static final Real E

Elementary charge (C)

BANDGAP_SI

public static final Real BANDGAP_SI

BANDGAP_GE

public static final Real BANDGAP_GE

BANDGAP_GAAS

public static final Real BANDGAP_GAAS

BANDGAP_GAN

public static final Real BANDGAP_GAN

BANDGAP_INP

public static final Real BANDGAP_INP

Constructor Details

SolidStatePhysics

public SolidStatePhysics()

Method Details

fermiEnergy

public static Real fermiEnergy(Real electronDensity)

Fermi energy for free electron gas. E_F = (ℏ²/2m) * (3π²n)^(2/3)

fermiVelocity

public static Real fermiVelocity(Real electronDensity)

Fermi velocity. v_F = ℏk_F / m

densityOfStates

public static Real densityOfStates(Real electronDensity,
 Real fermiEnergy)

Density of states at Fermi level (3D free electrons).

fermiDirac

public static Real fermiDirac(Real energy,
 Real mu,
 Real temperature)

Fermi-Dirac distribution.

debyeFrequency

public static Real debyeFrequency(Real soundVelocity,
 Real atomDensity)

Debye frequency.

debyeTemperature

public static Real debyeTemperature(Real debyeFrequency)

Debye temperature.

phononEnergy

public static Real phononEnergy(Real frequency)

Phonon energy.

boseEinstein

public static Real boseEinstein(Real frequency,
 Real temperature)

Bose-Einstein distribution for phonons.

conductivityFromBandGap

public static Real conductivityFromBandGap(Real sigma0,
 Real bandGap,
 Real temperature)

Band gap from semiconductor conductivity temperature dependence.

intrinsicCarrierConcentration

public static Real intrinsicCarrierConcentration(Real Nc,
 Real Nv,
 Real bandGap,
 Real temperature)

Intrinsic carrier concentration.

effectiveMass

public static Real effectiveMass(Real bandCurvature)

Effective mass from band curvature.

hallCoefficient

public static Real hallCoefficient(Real carrierDensity,
 boolean isElectron)

Hall coefficient.

mobility

public static Real mobility(Real conductivity,
 Real carrierDensity)

Mobility from conductivity and carrier density.

drudeConductivity

public static Real drudeConductivity(Real carrierDensity,
 Real relaxationTime,
 Real effectiveMass)

Drude conductivity.