lonization energy of dopants in semiconductors lonization energy of shallow donors and acceptors can be evaluated using hydrogenic model: lonization energy E Hion and orbital radius a, of hydrogen atom Hydrogen Atom moe4 EHion = 13.6 eV a = 8ε²h² Απερη mee² = 5.2918 x 10-11 m lonization energy Eion and orbital radius D,A of donors and acceptors electron m* e4 Eion = ~50 meV 8K² &²h² 4πεερη2 "D,A 1 nm m*e² Orbit of an electron bound to a donor in a semiconductor crystal. Energy levels of donors and acceptors Conduction Band ↓ Ec -Ed Donor Level Donor ionization energy Acceptor ionization energy Acceptor Level Εα Ev Valence Band Ionization energy of selected donors and acceptors in silicon Donors Acceptors Dopant Sb P As B Al In Ionization energy, Ec-Ed or Ea-E, (meV) 39 44 54 45 57 160 Hydrogenic model of donors and acceptors Calculate the ionization energies and orbit radii of donors and acceptors in Si and Ge. Dielectric constant of silicon is k = 11.7. Dielectric constant of germanium is x = 16.2.

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lonization energy of dopants in semiconductors
lonization energy of shallow donors and acceptors can be evaluated using
hydrogenic model:
lonization energy E Hion and orbital radius a, of hydrogen atom
Hydrogen Atom
moe4
EHion
= 13.6 eV a =
8ε²h²
Απερη
mee²
= 5.2918 x 10-11 m
lonization energy Eion and orbital radius D,A of donors
and acceptors
electron
m* e4
Eion
=
~50 meV
8K² &²h²
4πεερη2
"D,A
1 nm
m*e²
Orbit of an electron bound to a
donor in a semiconductor crystal.
Energy levels of donors and acceptors
Conduction Band
↓
Ec
-Ed
Donor Level
Donor ionization energy
Acceptor ionization energy
Acceptor Level
Εα
Ev
Valence Band
Ionization energy of selected donors and acceptors in silicon
Donors
Acceptors
Dopant
Sb
P
As
B
Al In
Ionization energy, Ec-Ed or Ea-E, (meV) 39
44
54
45
57
160
Hydrogenic model of donors and acceptors
Calculate the ionization energies and orbit radii of donors and acceptors
in Si and Ge.
Dielectric constant of silicon is k = 11.7.
Dielectric constant of germanium is x = 16.2.
Transcribed Image Text:lonization energy of dopants in semiconductors lonization energy of shallow donors and acceptors can be evaluated using hydrogenic model: lonization energy E Hion and orbital radius a, of hydrogen atom Hydrogen Atom moe4 EHion = 13.6 eV a = 8ε²h² Απερη mee² = 5.2918 x 10-11 m lonization energy Eion and orbital radius D,A of donors and acceptors electron m* e4 Eion = ~50 meV 8K² &²h² 4πεερη2 "D,A 1 nm m*e² Orbit of an electron bound to a donor in a semiconductor crystal. Energy levels of donors and acceptors Conduction Band ↓ Ec -Ed Donor Level Donor ionization energy Acceptor ionization energy Acceptor Level Εα Ev Valence Band Ionization energy of selected donors and acceptors in silicon Donors Acceptors Dopant Sb P As B Al In Ionization energy, Ec-Ed or Ea-E, (meV) 39 44 54 45 57 160 Hydrogenic model of donors and acceptors Calculate the ionization energies and orbit radii of donors and acceptors in Si and Ge. Dielectric constant of silicon is k = 11.7. Dielectric constant of germanium is x = 16.2.
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