capacitance-voltage profiling
**C-V Profiling** (Capacitance-Voltage Profiling) is a **semiconductor characterization technique that measures the capacitance of a MOS structure or junction as a function of applied voltage** — extracting doping profiles, oxide thickness, interface trap density, and flatband voltage.
**How Does C-V Profiling Work?**
- **Structure**: MOS capacitor, Schottky diode, or p-n junction.
- **Measurement**: Apply DC bias voltage while measuring small-signal AC capacitance.
- **Regions**: Accumulation (max $C$), depletion (decreasing $C$), inversion (min $C$ or recovery depending on frequency).
- **Doping Profile**: $N(W) = -2 / (q epsilon_s A^2 cdot d(1/C^2)/dV)$.
**Why It Matters**
- **Gate Oxide**: $t_{ox} = epsilon_{ox} A / C_{max}$ — directly measures gate oxide thickness.
- **Doping**: Non-destructive depth profiling of doping concentration.
- **Interface Quality**: $D_{it}$ (interface trap density) extracted from frequency dispersion of the C-V curve.
**C-V Profiling** is **the electrical X-ray for MOS structures** — extracting oxide thickness, doping profiles, and interface quality from a single voltage sweep.