Part of PH-03 — Semiconductors & Electronic Devices

Semiconductors & Electronic Devices — Cornell Notes (Full Topic)

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Cue (Question)Notes (Answer)
What are the three types of solids by energy band?Conductor (E_g = 0, bands overlap), Semiconductor (E_g ~ 0.1–3 eV), Insulator (E_g > 3 eV)
Energy gaps of Si and Ge?Si: E_g = 1.1 eV; Ge: E_g = 0.67 eV; Diamond (insulator): E_g = 5.4 eV
What is intrinsic semiconductor?Pure Si or Ge; n_e = n_h = n_i; conductivity increases with temperature
Dopant for n-type? Examples?Pentavalent (group 15): P, As, Sb; majority carriers = electrons
Dopant for p-type? Examples?Trivalent (group 13): B, Al, Ga, In; majority carriers = holes
State mass action law.n_e × n_h = n_i2i^{2} — holds for both intrinsic and extrinsic semiconductors
Are doped semiconductors charged?NO — both n-type and p-type are electrically NEUTRAL
Barrier potential of p-n junction?Si ≈ 0.7 V; Ge ≈ 0.3 V (knee voltage)
Effect of forward bias on depletion region?Narrows depletion region; barrier potential decreases; current flows
Special diode bias conditions?Zener: reverse (regulator); Photodiode: reverse (light detection); LED: forward (light emission); Solar cell: no bias
Logic gate Boolean expressions?OR: Y = A+B; AND: Y = A·B; NOT: Y = A'; NAND: Y = (A·B)'; NOR: Y = (A+B)'
Which gates are universal?NAND and NOR — ANY Boolean function can be built from either alone
De Morgan's theorems?(A+B)' = A'·B' and (A·B)' = A'+B'
Full-wave rectifier output frequency?f_out = 2 × f_in (each half-cycle produces a pulse)

Summary: Semiconductors are classified by their energy band gap. Doping with pentavalent atoms gives n-type (electron majority); trivalent gives p-type (hole majority). Both remain electrically neutral. The mass action law n_e × n_h = n_i2i^{2} governs carrier concentrations. p-n junctions form depletion regions with barrier potential (~0.7 V Si). Special diodes (Zener, photodiode, LED, solar cell) differ by bias and application. Logic gates (OR, AND, NOT, NAND, NOR) are the digital building blocks; NAND and NOR are universal. De Morgan's theorems connect them.

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