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List of Symbols

$\symBulkMod$ Bulk modulus

$\symSpecHeat$ Specific heat

$\mathbf{C}$ Elasticity tensor

$\CA$ Atomic concentration

$\CL$ Concentration of lattice sites

$\CV$ Vacancy concentration

$\Co$ Equilibrium vacancy concentration in the absence of stress

$\Ceq$ Equilibrium vacancy concentration

$\Cim$ Trapped vacancy concentration

$\mathbf{D}$ Vacancy diffusivity tensor

$\DA$ Atomic diffusion coefficient

$\DV$ Vacancy diffusion coefficient

$\DVo$ Pre-exponential factor for vacancy diffusivity

$\ee$ Elementary charge

$\symYoungMod$ Young modulus

$\vec\symElecField$ Electric field

$\Ea$ Activation energy for diffusion

$\symVacRelFactor$ Vacancy relaxation factor

$\G$ Vacancy generation/annihilation term

$\vec\symCurrDens$ Current density

$\vec\JA$ Atomic flux

$\vec\JV$ Vacancy flux

$\kB$ Boltzmann constant

$\symMTF$ Mean time to failure

$\Q$ Heat of transport

$\T$ Temperature

$\vec u$ Displacement vector

$\Z$ Effective valence

$\alpha_E$ Linear temperature coefficient of the electrical conductivity

$\alpha_T$ Linear temperature coefficient of the thermal conductivity

$\beta_E$ Quadratic temperature coefficient of the electrical conductivity

$\beta_T$ Quadratic temperature coefficient of the thermal conductivity

$\gamma_{E0}$ Electrical conductivity at room temperature

$\gamma_{T0}$ Thermal conductivity at room temperature

$\symThermExp$ Thermal expansion coefficient

$\symElecCond$ Electrical conductivity

$\symThermCond$ Thermal conductivity

$\symIntThickness$ Grain boundary/interface width

$\boldsymbol\symStrain$ Total strain

$\boldsymbol\symStrain^e$ Elastic strain

$\boldsymbol\symStrain^v$ Electromigration induced strain

$\symStrain^{th}$ Thermal strain

$\symChemPot$ Chemical potential

$\symVacChemPot$ Vacancy chemical potential

$\symPoissonRatio$ Poisson ratio

$\symOmR$ Vacancy release rate

$\symOmT$ Vacancy trapping rate

$\symAtomVol$ Atomic volume

$\symVacVol$ Vacancy volume

$\symElecRes$ Electric resistivity

$\symMatDens$ Material density

$\boldsymbol\symHydStress$ Mechanical stress

$\symThresholdStress$ Critical stress for void nucleation

$\symVacRelTime$ Vacancy relaxation time

Next: 1. Introduction Up: Dissertation R.L. de Orio Previous: List of Tables

R. L. de Orio: Electromigration Modeling and Simulation

$\symBulkMod$	Bulk modulus
$\symSpecHeat$	Specific heat
$\mathbf{C}$	Elasticity tensor
$\CA$	Atomic concentration
$\CL$	Concentration of lattice sites
$\CV$	Vacancy concentration
$\Co$	Equilibrium vacancy concentration in the absence of stress
$\Ceq$	Equilibrium vacancy concentration
$\Cim$	Trapped vacancy concentration
$\mathbf{D}$	Vacancy diffusivity tensor
$\DA$	Atomic diffusion coefficient
$\DV$	Vacancy diffusion coefficient
$\DVo$	Pre-exponential factor for vacancy diffusivity
$\ee$	Elementary charge
$\symYoungMod$	Young modulus
$\vec\symElecField$	Electric field
$\Ea$	Activation energy for diffusion
$\symVacRelFactor$	Vacancy relaxation factor
$\G$	Vacancy generation/annihilation term
$\vec\symCurrDens$	Current density
$\vec\JA$	Atomic flux
$\vec\JV$	Vacancy flux
$\kB$	Boltzmann constant
$\symMTF$	Mean time to failure
$\Q$	Heat of transport
$\T$	Temperature
$\vec u$	Displacement vector
$\Z$	Effective valence
$\alpha_E$	Linear temperature coefficient of the electrical conductivity
$\alpha_T$	Linear temperature coefficient of the thermal conductivity
$\beta_E$	Quadratic temperature coefficient of the electrical conductivity
$\beta_T$	Quadratic temperature coefficient of the thermal conductivity
$\gamma_{E0}$	Electrical conductivity at room temperature
$\gamma_{T0}$	Thermal conductivity at room temperature
$\symThermExp$	Thermal expansion coefficient
$\symElecCond$	Electrical conductivity
$\symThermCond$	Thermal conductivity
$\symIntThickness$	Grain boundary/interface width
$\boldsymbol\symStrain$	Total strain
$\boldsymbol\symStrain^e$	Elastic strain
$\boldsymbol\symStrain^v$	Electromigration induced strain
$\symStrain^{th}$	Thermal strain
$\symChemPot$	Chemical potential
$\symVacChemPot$	Vacancy chemical potential
$\symPoissonRatio$	Poisson ratio
$\symOmR$	Vacancy release rate
$\symOmT$	Vacancy trapping rate
$\symAtomVol$	Atomic volume
$\symVacVol$	Vacancy volume
$\symElecRes$	Electric resistivity
$\symMatDens$	Material density
$\boldsymbol\symHydStress$	Mechanical stress
$\symThresholdStress$	Critical stress for void nucleation
$\symVacRelTime$	Vacancy relaxation time