Semiconductors Flashcards
Describe and draw the band gaps for conductors, insulators and semi conductors
Conductors - overlapping energy bands = easy e- movement
Insulators - big band gap between bonding and anti bonding = hard e- movement
SC- medium gap (1.2Ev Si) between conduction and valence band
Why can’t e- be excited to the antibonding energy band in insulators but can to the conduction band in SC?
Because of the size of the energy band = amount of energy required
e- only start moving between the band in extreme conditions in insulators
Are band gaps a continuous size?
They change across the length of the band gap (no effect on large band gaps) due to orientations in the crystal and energetic effects.
e- will take the lowest energy path to bridge a band gap, so they don’t always travel straight upwards (resulting in direct and indirect band gaps)
Draw a direct and an indirect band gap and explain what an e- needs to be promoted
Direct - two semi circles separated by gap, e- needs to absorb a photon
Indirect - two semi circles that are off centre, need a photon and a phonon to move across the band gap
What is meant by intrinsic semiconductor?
Undoped semiconductor, a material with a medium band gap (roughly 1Ev) that means an e- needs to be excited to move across the band gap
What happens when an electron is promoted from the valence band to the conduction band?
A hole is left in the valence band, this is also mobile
Name two intrinsic semi conductors
Ge and Si (both have 4 valence e-)
What is Ni in intrinsic semi conductors and what’s it effected by?
Ni is the number of intrinsic charge carriers per volume, = Nh = Ne-
- more thermal and photon excitation = more carriers
How many Ni are created in a semi conductor?
Production rate = species . e^band gap/k.temp
K= Boltzmann constant
Steady state is achieved when production = recombination
How can the density of charge carriers be worked out?
Nh . Ne = Ni2
What dictates the conductivity of a semiconductor?
Ni, their charge and their velocity
e- have a higher mobility than holes = e- are the majority charge carriers = higher effect on conductivity
Conductivity = e.(μh.Nh+ μe.Ne)
e = charge, μ = mobility
Why do intrinsic semiconductors need to be doped?
Because Ni production rate is negligible at room temp, doping increasing the number of Ni and thus the conductivity
Explain p-type doping
- Dope with an element in a lower group
- this atoms valence band sits just above the SC valence band
- e- promoted to this valence band = mobile hole in valence band
- means that Nh = dopant level and that Nh doesn’t = Ne, but Ni2 = Nh.Ne
Explain n-type doping
- doping with a group above the SC
- sits just below the conduction band
- e- excited from the dopant to the conduction band and is then mobile
- means Ne = dopant level and increases conductivity more than p-type doping
What affects conductivity more - P-type or N-type doping?
N-type because e- are majority carriers and e- are much more mobile than holes = bigger affect on conductivity