AlGaN Bandgap Calculator

Compute the AlGaN band gap energy from the aluminum fraction using linear interpolation with a documented bowing parameter of 1.0 eV. Eg(x) = (1-x)*3.42 + x*6.25 - x*(1-x)*1.0.

Description

Calculate AlxGa1−xN bandgap from aluminum mole fraction with GaN and AlN endpoints and a 1.0 eV bowing parameter.

Compute the AlGaN band gap energy from the aluminum fraction using linear interpolation with a documented bowing parameter of 1.0 eV. Eg(x) = (1-x)*3.42 + x*6.25 - x*(1-x)*1.0.

When to use AlGaN Bandgap Calculator

  • Calculate AlxGa1−xN bandgap from aluminum mole fraction with GaN and AlN endpoints and a 1.0 eV bowing parameter.
  • Compare fabrication or device scenarios while holding coefficients and unit conventions constant.
  • Check a hand calculation before moving to a higher-fidelity process, circuit, or TCAD model.

How the calculation works

The bowing term makes the alloy gap lower than straight endpoint interpolation for intermediate compositions.

Eg(x) = (1−x)·3.42 + x·6.25 − 1.0·x·(1−x)

Interpreting the result

The bowing term makes the alloy gap lower than straight endpoint interpolation for intermediate compositions.

Assumptions and limitations

  • Endpoint gaps and bowing vary with crystal phase, temperature, strain, and source; this calculator fixes all four.
  • Use parameters measured for the same material, geometry, temperature, and operating regime whenever the result informs engineering work.
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