Formula Explanation
T approx exp(-2 a sqrt(2m(V-E)) / hbar)
This calculator applies the formula T approx exp(-2 a sqrt(2m(V-E)) / hbar). Enter each value with the matching unit, and AZCalculate updates the result instantly.
Quantum Physics
Quantum Tunneling Calculator
Use this quantum tunneling calculator to calculate estimate tunneling probability through a rectangular potential barrier.
quantum tunnelingbarriertransmission probabilityquantum physicsmodern physicsscientific notation
Calculator
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Calculator Inputs
Choose what you want to calculate, enter realistic values, adjust units where shown, and use the scenario section for repeated-use planning.
Input and Formula Breakdown
Transmission decreases rapidly with barrier width, mass, and barrier height above particle energy.
Particle mass
1 m_e
Barrier height
5 eV
Particle energy
2 eV
Barrier width
1 nm
Transmission probability
0.000002%
Scenario and Comparison
Current
0.000002%
Projected
0
Adjusted
0
Visual Comparison
Current result0
Projected usage0
Comparison scenario0
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Use Cases
- Study barrier penetration
- Estimate tunneling trends
- Compare particle mass and barrier width
- Learn modern physics relationships
- Check formula steps
Step-by-Step Explanation
- Step 1Enter the known values in the calculator fields.
- Step 2Keep the units consistent with the labels shown beside each input.
- Step 3Apply the formula: T approx exp(-2 a sqrt(2m(V-E)) / hbar).
- Step 4Review the primary result and supporting values.
Example calculation
Example quantum tunneling calculator
Given
- Particle mass: 1 m_e
- Barrier height: 5 eV
- Particle energy: 2 eV
- Barrier width: 1 nm
Steps
- Use the values shown above.
- Apply T approx exp(-2 a sqrt(2m(V-E)) / hbar).
Result
The calculator above shows the computed answer instantly from these example values.
Calculator guide
About this Quantum Tunneling Calculator
Estimate tunneling probability through a rectangular potential barrier. This page includes an interactive calculator, concise formula notes, worked examples, FAQs, related calculators, and practical guidance you can revisit whenever needed.
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Most active date
2026-06-05
FAQ
Quantum Tunneling Calculator FAQs
How does the quantum tunneling calculator work?+
It uses T approx exp(-2 a sqrt(2m(V-E)) / hbar) and calculates the result from the values you enter.
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