Expert-level semiconductor materials covering band theory, silicon processing, compound semiconductors, wide bandgap materials, and semiconductor device fundamentals.
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Valence band: filled electron states, top defined by valence band maximum. Conduction band: empty states electrons occupy when excited. Bandgap: energy gap between valence and conduction band maxima. Direct bandgap: GaAs, momentum conserved in optical transitions, good for LEDs. Indirect bandgap: silicon, phonon required for optical transition, poor emitter.
Crystal growth: Czochralski and float zone for single crystal ingots. Doping: phosphorus or arsenic for n-type, boron for p-type. Carrier concentration: n times p = ni squared at equilibrium. Mobility: electron mobility higher than hole mobility in silicon. Oxidation: thermal oxide SiO2 forms on silicon surface, excellent gate dielectric.
GaAs: high electron mobility, direct bandgap, microwave and photonic devices. InP: higher electron velocity than GaAs, telecom laser wavelengths. III-V epitaxy: MBE and MOCVD for heterostructure growth. Heterostructures: quantum wells from bandgap engineering.
SiC: 3.26 eV bandgap, high breakdown field, power electronics to 200 C. GaN: 3.4 eV bandgap, 2DEG at AlGaN/GaN interface, high power and frequency. Ga2O3: 4.8 eV ultrawide bandgap, high breakdown voltage, emerging power device. Diamond: 5.5 eV, ultimate power semiconductor material, processing challenges.
| Pitfall | Fix |
|---|---|
| Ignoring surface states in compound semiconductors | Surface passivation critical for device performance |
| Lattice mismatch in heterostructures | Calculate critical thickness before growing strained layer |
| Thermal resistance limiting GaN device | Design thermal management from start |
| Assuming silicon processes transfer to compound semiconductors | Each material has unique process requirements |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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