\[\rho=\frac{1}{q(n\mu_n+p\mu_p)}\]
Variables
rhosemiconductor resistivity (Ω·m)
qelementary charge (C)
nelectron concentration (1/m³)
mu_nelectron mobility (m²/(V·s))
phole concentration (1/m³)
mu_phole mobility (m²/(V·s))
Description
What is this formula?
The Semiconductor Resistivity formula calculates the electrical resistivity of a semiconductor material considering both electron and hole conduction.
When to use it
Use this formula when analyzing semiconductor materials, integrated circuits, electronic devices, or carrier transport properties.
Example
A semiconductor has:
q = 1.6×10^-19 C
n = 8×10^21 1/m³
mu_n = 0.14 m²/(V·s)
p = 2×10^21 1/m³
mu_p = 0.05 m²/(V·s)
Formula:
rho = 1 / (q(n mu_n + p mu_p))
Substitution:
rho = 1 / ((1.6×10^-19)((8×10^21×0.14)+(2×10^21×0.05)))
Result:
rho ≈ 0.0051 Ω·m
The semiconductor resistivity is approximately 0.0051 Ω·m.
Applications
Semiconductor engineering, integrated circuits, transistor analysis, electronic materials research, and carrier transport modeling.