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`E_n = ( n ^2*h^2)/(8* m * L ^2)`

Enter a value for all fields

The **Energy of a Particle in a Box** calculator compute the energy of a particle in a box based on the energy level, mass of the particle and the length of the box.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**n**) Energy Level - (
**m**) Mass of Particle - (
**L**) Length of Box

**Energy of a Particle in a Box(E _{n}):** The calculator returns the energy in electron volts(eV). However, this can be automatically converted to compatible units via the pull-down menu.

The **Energy of a particle in a box** is found using the particle in a box model which describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a a hypothetical example to illustrate the differences between classical and quantum systems. The energy is found using the following formula:

`E_n=(n^2h^2)/(8mL^2)`

where:

- E
_{n}= Energy in a Box - n = Energy level
- h = Planck's constant
- m = mass of particle
- L = Length of the box

- Kinetic Energy (change of velocity) : K = ½⋅m⋅(V
_{1}-V_{2})² - Kinetic Energy: KE= ½⋅m⋅v²
- Relativistic Kinetic Energy
- Quantum Energy
- Potential Energy
- Potential Energy of Gravity (two bodies)
- Nuclear Binding Energy: E = m⋅c
^{2} - Energy of a Particle in a Box
- Planck's Equation: E = h⋅f
- Molecular Kinetic Energy
- Electrostatic Potential Energy
- Photon Energy from Wavelength

The formula and definition are from Wikipedia (https://en.wikipedia.org/wiki/Particle_in_a_box).