600 B
600 B
n=N_c\cdot e^{\frac{-(E_c-E_F)}{kT}}
p=N_v\cdot e^{\frac{-(E_F-E_v)}{kT}}
E_c
is the position of the conduction band minimum- $E_v$ is the position of the valence band maxmimum
k
is Boltzmann's constantN_x
are the effective density of states
np=n_i^2
n_i
= Intrinsic carrier concentration
n_i=\sqrt{N_cN_v}e^{\frac{-E_g}{2kt}}
E_g
= Band Gap =E_c-E_v
Substitutional Doping
- Donated electrons are delocalised
- Ions are immobile
N_c \equiv 2 \left[ \frac{2\pi m_nkT}{h^2}\right]^{3/2}
N_v \equiv 2 \left[ \frac{2\pi m_pkT}{h^2}\right]^{3/2}