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sci.particle-in-box-energy Calculator
Calculates energy levels of a particle in a 1D infinite square well: E_n = n²h²/(8mL²), demonstrating quantum confinement. Ground state energy of an electron in a 1 nm box is 0.376 eV — this models quantum dots and nanowires where confinement shifts absorption energy.
Inputs
Quantum Number N
Count of items or occurrences.
Box Length Nm
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Particle Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Results
energy E_n (eV)
Sample size or count used in the calculation.
energy E_n (J)
Sample size or count used in the calculation.
E_n = n²h²/(8mL²)
Sample size or count used in the calculation.
E_1 (ground state)
The value at the specified point or condition.
E_n / E_1 ratio
The proportional relationship between two quantities.