Built-In Potential Calculator

Compute the pn-junction built-in potential at 300 K as Vbi = (kT/q)·ln(NA·ND/ni²) where kT/q = 0.02585 V, NA and ND are acceptor and donor concentrations and ni is intrinsic concentration in cm⁻³.

Description

Calculate positive 300 K pn-junction built-in potential from acceptor, donor, and intrinsic carrier concentrations.

Compute the pn-junction built-in potential at 300 K as Vbi = (kT/q)·ln(NA·ND/ni²) where kT/q = 0.02585 V, NA and ND are acceptor and donor concentrations and ni is intrinsic concentration in cm⁻³.

When to use Built-In Potential Calculator

  • Calculate positive 300 K pn-junction built-in potential from acceptor, donor, and intrinsic carrier concentrations.
  • 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

A positive pn-junction barrier requires NA·ND greater than ni²; lower products are rejected rather than reported as a negative built-in potential.

Vbi = 0.02585·ln(NA·ND/ni²)

Interpreting the result

A positive pn-junction barrier requires NA·ND greater than ni²; lower products are rejected rather than reported as a negative built-in potential.

Assumptions and limitations

  • The nondegenerate equilibrium expression assumes complete ionization, uniform neutral regions, and a consistent 300 K intrinsic concentration.
  • Use parameters measured for the same material, geometry, temperature, and operating regime whenever the result informs engineering work.
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