Use this semiconductor calculation for first-order device, material, fabrication, interconnect, packaging, or reliability estimates when every coefficient and unit convention is known.

Effective mass (kg)

Required number in kg. Carrier effective mass.

The cited overview of Quantum tunnelling supplies background for the terminology and domain context used by this tool.^[1]

Compute the two-dimensional electron gas quantum capacitance per unit area from an effective mass. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Quantum capacitance (fF/um^2)

Returned number in fF/um^2. Quantum capacitance per unit area.

• Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
• Effective mass must be at least 5e-324.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

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.

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