Electron Effective Mass Calculator

Combine longitudinal and transverse effective masses into a multi-valley density-of-states electron mass.

Description

Combine longitudinal and transverse effective masses into a multi-valley density-of-states electron mass.

Electron Effective Mass Calculator is a focused tool for the following task. Combine longitudinal and transverse effective masses into a multi-valley density-of-states electron mass. It reports mdos*/m0 from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Electron Effective Mass

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

ml*/m0
Required number. Longitudinal effective mass ratio ml*/m0.
mt*/m0
Required number. Transverse effective mass ratio mt*/m0.
Valleys
Optional integer. Number of equivalent valleys; six for conduction-band silicon.

The cited overview of Semiconductor device supplies background for the terminology and domain context used by this tool.1

How Electron Effective Mass works

Combine longitudinal and transverse effective masses into a multi-valley density-of-states electron mass. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

mdos*/m0
Returned number. Density-of-states effective mass ratio mdos*/m0.

Limitations and assumptions

  • Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
  • Valleys must be at least 1.
  • 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

  1. Semiconductor device — Wikipedia contributors

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