EC-5.4 Conductors, Semiconductors and Insulators
You can classify a material from its band gap, explain why a semiconductor conducts better when heated while a metal conducts worse, and say what makes silicon the useful middle case.
Before:nothing requiredUnlocks:PE2-5. MEMSEC-6. Semiconductor Devices and Device Models
The three classes of material are one continuum read at three points, and the reading is the band gap. No gap and the material always conducts. A large gap and it never does. A gap of about an electron volt and it does neither reliably, which sounds useless and is in fact the entire basis of the industry: a material that can be persuaded either way is a material you can build a switch from. The opposite temperature behaviour of a metal and a semiconductor is worth understanding here rather than being surprised by it in a laboratory.
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The three classes, read off one number
A conductor has bands that overlap so electrons are always free to move, an insulator has a gap far too large to cross, and a semiconductor has one small enough to cross with modest help. Nothing else distinguishes them.
NPTEL: Fundamentals of Electronic Materials and Devices · CourseIntrinsic conduction, and why a pure semiconductor conducts at all
At any temperature above absolute zero some electrons have enough thermal energy to cross the gap, leaving holes behind. Both carry current, and in a pure crystal there are exactly as many of one as the other.
Why heating helps a semiconductor and hurts a metal
Heat frees more carriers in a semiconductor, so its resistance falls. A metal already has all the carriers it will get, so heat only makes the lattice vibrate more and scatter them, and its resistance rises.
NPTEL: Physics of Materials · CourseMobility, and what actually limits how fast a carrier moves
A carrier does not accelerate freely; it is scattered by lattice vibrations and by impurities, and mobility measures how well it does despite that. The two scattering mechanisms dominate at different temperatures, which is why mobility peaks and then falls.
Why silicon rather than germanium or anything else
Silicon has a workable gap, is abundant, and grows a stable insulating oxide on its own surface, which is the property that made integrated circuits practical. Germanium is a better conductor and lost on the oxide.
NPTEL: Fundamentals of Electronic Materials and Devices · CourseCompound semiconductors, and what they are for
Combining elements from either side of silicon in the periodic table gives materials with different gaps, some of them direct. That is how light-emitting devices, high-frequency transistors and solar cells with better efficiency get made.
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