ONE FORMULA, ONE ANSWER
Infinite Quantum Well Energy Calculator
Calculate an energy level for a particle confined in a one-dimensional infinite square well. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Energy above the well bottom Eₙ
Enter values and select Calculate.
Eₙ = n²h² / (8mL²)
Assumptions
Required: m,L>0 and positive integer n. The potential is zero inside infinitely high walls. This is a single-particle nonrelativistic Schrödinger model. Excluded: spin, interactions and finite walls. The app requires Eₙ/(mc²)≤0.01.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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