Diffusion coefficient from energy and temperature

The diffusion coefficient is a quantitative characteristic of the diffusion rate, equal to the amount of matter passing per unit time through a section of a unit area as a result of the thermal motion of molecules.

Notation:

1. \(k_\text{B}\) (k_B) is boltzmann_constant.

Conditions:

1. The material is a solid.

Links:

1. Wikipedia.

diffusion_coefficient

diffusion_coefficient.

Symbol:

D

Latex:

\(D\)

Dimension:

area/time

energy

Activation energy of the dopant.

Symbol:

E_A

Latex:

\(E_\text{A}\)

Dimension:

energy

maximum_diffusion_coefficient

Maximum diffusion_coefficient, e.g. at infinite temperature.

Symbol:

D_0

Latex:

\(D_{0}\)

Dimension:

area/time

temperature

temperature.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

law

D = D_0 * exp(-E_A / (k_B * T))

Latex:

\[D = D_{0} \exp{\left(- \frac{E_\text{A}}{k_\text{B} T} \right)}\]