# Homework Help: Einstein coefficients

1. Jul 2, 2012

### sunrah

1. The problem statement, all variables and given/known data
Calculate the Einstein coefficient of spontaneous emission for nitrogen transitioning from Ei: 32P1/2 to Ek: 32S1/2. Total duration τ = 16ns, emission wavelength λ = 589.593 nm.

2. Relevant equations
3. The attempt at a solution
I want to use

$A_{ik} = \frac{2}{3}\frac{e^{2}\omega^{3}_{ik}}{\epsilon_{0}c^{3}h}\cdot \left|\left\langle \psi_{i}| \hat{r} |\psi_{k}\right\rangle\right|^{2}$

but I've never done calculations with the wave functions of multi-electron atoms - can I just use the wave functions for H seeing as $\psi_{i},\psi_{k}$ are really the wave functions of a single electron in two states?

Last edited: Jul 2, 2012