Energy levels for a 3D cubical box

[cytochrome]

I'm trying to find the energies for n levels of a 3D cubical box.

Is there a general equation for this?

 

[Charles Wilson]

From _Physics_, Wolfson and Pasachof, ISBN 0-673-39836-6, p. 1055:

E = h^2/8mL^2 (n^2 sub x + n^2 sub y + n^2 sub z)

CW

 

[cytochrome]

Thank you, now what do I use for the n_x, n_y, n_z?

 

[psmt]

Hint: try substituting separable sinusoidal solutions into the Schrödinger eqn (with suitable boundary conditions).

 

[ssamsymn]

n_x , n_y , n_z are your quantum numbers, they describe your state, when you solve the Schr. Eqn. for ψ's, which are sinusoidal functions as mentioned below, n_x,y,z will appear in the energy values.