pn junction
basic function for pn junction
Parameters
Intrinsic concentration
`n_i`
\(cm^{-3}\)
P doping concentrations
`N_A`
\(cm^{-3}\)
N doping concentrations
`N_D`
\(cm^{-3}\)
Temperature
T
\(K\)
External voltage
`V_A`
\(V\)
Relative dielectric
`epsilon_r`
\(1\)
Cross section area
A
\(cm^2\)
Output
Thermal potential `V_T`
`V_T={kT}/q`
Barrier voltage `V_{d}`
`V_d=V_T ln({N_A N_D}/n_i^2)`
P space charge length `d_p`
`d_p=sqrt{{2epsilonV_d}/q N_D/N_A 1/{N_A+N_D}}`
N space charge length `d_n`
`d_n*N_D=d_p*N_A`
space charge length `d_s`
`d_s=d_p+d_n`
Capacitor C
`C={epsilon A}/d_s`