## Purpose

$E_{n}=\frac{h^{2}n^{2}}{8mL^{2}}$

Juanalv326
Posts: 49
Joined: Fri Sep 29, 2017 7:04 am

### Purpose

What is the purpose of the particles in a box? The equation seems very confusing, but is it essential to understand the fundamentals of it for future references?

Chem_Mod
Posts: 17490
Joined: Thu Aug 04, 2011 1:53 pm
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### Re: Purpose

Great question! Particle in a box model is able to provide a simple solution to the Schrodinger equation. Here the assumption is that your potential has infinitely high walls and your particle is "trapped" in it. This particular model can explain energy quantization! The mathematical calculations for small conjugated molecules match very well the experimental results. Please note however that the "particle in a box" model is only one of the MANY models that we can use in quantum mechanics to solve for energies.