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## Homework Statement

Calculate the Einstein coefficient of spontaneous emission for nitrogen transitioning from E

_{i}: 3

^{2}P

_{1/2}to E

_{k}: 3

^{2}S

_{1/2}. Total duration τ = 16ns, emission wavelength λ = 589.593 nm.

## Homework Equations

## The Attempt at a Solution

I want to use

[itex]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}[/itex]

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 [itex]\psi_{i},\psi_{k}[/itex] are really the wave functions of a single electron in two states?

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