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

R. L. de Orio: Electromigration Modeling and Simulation