Depletion Width Linearly Graded Junction Calculator
Compute the depletion width of a linearly graded silicon junction. Assumes silicon permittivity 11.7·ε0.
Description
Compute the depletion width of a linearly graded silicon junction. Assumes silicon permittivity 11.7·ε0.
Depletion Width Linearly Graded Junction Calculator is a focused tool for the following task. Compute the depletion width of a linearly graded silicon junction. Assumes silicon permittivity 11.7·ε0. It reports Depletion width from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.
When to use Depletion Width Linearly Graded Junction
Use this semiconductor calculation for first-order device, material, fabrication, interconnect, packaging, or reliability estimates when every coefficient and unit convention is known.
- Built-in voltage (V)
- Required number in V. Built-in potential of the junction. Must be at least 0 V.
- Grading constant (cm^-4)
- Required number in cm^-4. Linear grading constant a in the net impurity profile N(x) = a·x. Because x is measured in centimeters, a must be greater than 0 cm^-4.
- Reverse bias (V)
- Optional number in V. Applied reverse bias. Must be at least 0 V.
The cited overview of P–n junction supplies background for the terminology and domain context used by this tool.1
How Depletion Width Linearly Graded Junction works
Compute the depletion width of a linearly graded silicon junction. Assumes silicon permittivity 11.7·ε0. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.
- Depletion width (µm)
- Returned number in µm. Total depletion width.
Limitations and assumptions
- Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
- Built-in voltage must be at least 0.
- Grading constant must be at least 5e-324.
- Reverse bias must be at least 0.
- Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.
Alternative or Complementary approaches
Compare the estimate with measured process data, current device documentation, and a higher-fidelity circuit, field, thermal, quantum, or TCAD model when the decision requires it.
References
-
P–n junction — Wikipedia contributors
Similar or alternative tools
- Depletion Capacitance Linearly Graded Junction Calculator
Compute the depletion capacitance of a linearly graded silicon junction. Assumes silicon permittivity 11.7·ε0.
- Depletion Width Abrupt Junction Calculator
Compute the total depletion width of an abrupt pn junction from built-in and applied reverse bias. Assumes silicon permittivity 11.7·ε0.
- One-Sided Abrupt Junction Depletion Capacitance Calculator
Compute one-sided abrupt silicon junction depletion capacitance from area and lightly doped-side concentration. Assumes εSi = 11.7·ε0.