Skip to main content
Calcimator

Quantum Tunneling Calculator

Calculate quantum tunneling probability, transmission coefficient, and penetration depth through a potential barrier.

Inputs

eV
eV
m
kg

Results

Tunneling Probability

35.9%

Transmission Coefficient

0.36

Reflection Coefficient

0.641

Decay Constant (κ)5,123,000,000 m⁻¹
Penetration Depth0 m
Barrier Opacity (κL)0.512

Tunneling Probability

35.9%

Transmission Coefficient

0.36

Reflection Coefficient

0.641

How to Use This Calculator
  1. Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
  2. Particle Energy — Kinetic energy of the particle Accepts values from 0.01 eV to 100 eV (default: 1 eV).
  3. Barrier Height — Height of the potential barrier Accepts values from 0.01 eV to 100 eV (default: 2 eV).
  4. Barrier Width — Width of the potential barrier Accepts values from 1e-12 m to 1e-8 m (default: 1e-10 m).
  5. Particle Mass — Mass of the particle (default: electron) Accepts values from 1e-31 kg to 1e-20 kg (default: 9.109e-31 kg).
  6. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  7. Tunneling Probability — shown as a numeric value. This is the primary result of this calculator.
  8. Transmission Coefficient — shown as a numeric value. This is the primary result of this calculator.
  9. Reflection Coefficient — shown as a numeric value. This is the primary result of this calculator.
  10. Decay Constant (κ) — shown as a numeric value.
  11. Penetration Depth — shown as a numeric value.
  12. Barrier Opacity (κL) — shown as a numeric value.
  13. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
Ad Placeholder

Formula

T ≈ e^(-2κL), κ = √(2m(V-E))/ℏ

Related Calculators

Wave Function Calculator

Calculate quantum wave function properties including probability density, momentum, energy, and phase/group velocities.

Uncertainty Principle Calculator

Calculate Heisenberg uncertainty limits for position-momentum and energy-time conjugate pairs.

Quantum Energy Levels Calculator

Calculate atomic energy levels, transition energies, photon wavelengths, and spectral series for hydrogen-like atoms.

Ad Placeholder