Exciton Binding Energy Calculator
Compute the 3D hydrogenic Wannier-Mott exciton ground-state binding energy from reduced electron-hole mass and relative permittivity.
Description
Compute the 3D hydrogenic Wannier-Mott exciton ground-state binding energy from reduced electron-hole mass and relative permittivity.
Exciton Binding Energy Calculator is a focused tool for the following task. Compute the 3D hydrogenic Wannier-Mott exciton ground-state binding energy from reduced electron-hole mass and relative permittivity. It reports Binding energy from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.
When to use Exciton Binding Energy
Use this semiconductor calculation for first-order device, material, fabrication, interconnect, packaging, or reliability estimates when every coefficient and unit convention is known.
- Reduced mass ratio
- Required number. Reduced electron-hole mass µ divided by the free-electron mass m0.
- Relative permittivity
- Required number. Relative permittivity used to screen the electron-hole interaction; choose the dielectric response appropriate to the material and model.
The cited overview of Semiconductor device supplies background for the terminology and domain context used by this tool.1
How Exciton Binding Energy works
Compute the 3D hydrogenic Wannier-Mott exciton ground-state binding energy from reduced electron-hole mass and relative permittivity. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.
- Binding energy (eV)
- Returned number in eV. Hydrogenic ground-state binding energy Ry × (µ/m0) / εr².
Limitations and assumptions
- Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
- Reduced mass ratio must be at least 5e-324.
- Relative permittivity must be at least 5e-324.
- 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
-
Semiconductor device — Wikipedia contributors
Similar or alternative tools
- Fin Quantum Confinement Calculator
Calculate the ground-state energy of one-dimensional confinement in an infinite square well using the fin width and carrier effective mass.
- Cylindrical Nanowire Quantum Confinement Calculator
Calculate the radial ground-state confinement energy of a circular hard-wall nanowire from its diameter and carrier effective mass using the first zero of J₀.
- Semiconductor Effective Density Valence Band Calculator
Compute the valence-band effective density of states from a density-of-states effective hole mass and temperature. Formula: Nv(T) = 2.51e19·(m*_dos/m0)^{3/2}·(T/300)^{3/2} cm⁻³, using the same unit-effective-mass prefactor as the conduction-band expression. Assumes a parabolic band and temperature-independent DOS effective mass.