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.
Description
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.
Semiconductor Effective Density Valence Band Calculator is a focused tool for the following task. 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. It reports Nv from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.
When to use Semiconductor Effective Density Valence Band
Use this semiconductor calculation for first-order device, material, fabrication, interconnect, packaging, or reliability estimates when every coefficient and unit convention is known.
- mh*/m0
- Optional number. Density-of-states effective hole mass relative to the free-electron mass. Must be greater than 0.
- Temperature (K)
- Optional number in K. Lattice temperature. Must be greater than 0 K.
The cited overview of Semiconductor device supplies background for the terminology and domain context used by this tool.1
How Semiconductor Effective Density Valence Band works
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. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.
- Nv (cm^-3)
- Returned number in cm^-3. Valence-band effective density of states. Greater than 0 cm⁻³.
Limitations and assumptions
- Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
- mh*/m0 must be at least 5e-324.
- Temperature 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
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Semiconductor device — Wikipedia contributors
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