Conductivity in Semiconductors Calculator

Calculate Conductivity









Formula

The formula to calculate the Conductivity (σ) is:

\[ \sigma = (\rho_e \cdot [Charge-e] \cdot \mu_n) + (\rho_h \cdot [Charge-e] \cdot \mu_p) \]

Definition

Conductivity is the measure of the ease at which an electric charge or heat can pass through a material. It is the reciprocal of resistivity. Electron Density refers to the measure of how many electrons are present in a given amount of the material. Mobility of electron is defined as the magnitude of average drift velocity per unit electric field. Holes Density refers to the number of vacant energy states (known as "holes") that can exist in the valence band of a semiconductor material. Mobility of holes is the ability of a hole to move through a metal or semiconductor, in the presence of applied electric field.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \sigma = (3.01E+16 \cdot 1.60217662E-19 \cdot 180) + (100000345000 \cdot 1.60217662E-19 \cdot 150) \approx 0.868061695989221 \]

The Conductivity is approximately 0.868061695989221 Siemens per Meter.

Conversion Chart

Electron Density (Kilogram per Cubic Meter) Mobility of Electron (Square Meter per Volt per Second) Holes Density (Kilogram per Cubic Meter) Mobility of Holes (Square Meter per Volt per Second) Conductivity (Siemens per Meter)
3.0E+16 180 100000345000 150 0.865177778073221
3.1E+16 180 100000345000 150 0.894016957233221