Question

Derive an expression for calculating energy values corresponding n=3 for a particle in one dimensional box

Answer 1

Answer on the question 80769 – Chemistry – Inorganic Chemistry

The main equation is (from Schrodinger equation):

$$E = n^{2} \cdot \pi^{2} \cdot h^{2} / 2 \cdot m \cdot l^{2}$$

, where $n$ – is quantum number, $h$ – is Planka’s const, $m$ – mass of particle, $l$ – width of the potential well;

If we want the equation, where $n = 3$, we will get:

Answer: $E = 9 \cdot \pi^{2} \cdot h^{2} / 2 \cdot m \cdot l^{2}$;