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## Homework Statement

A Stark effect experiment is performed on the rubidium D1 line ##(5p \ {}^2P_{1/2} →

5s \ {}^2S_{1/2})## at 780.023 nm. Given that the polarizabilities of the ##5p \ {}^2P_{1/2}## and ##5s \ {}^2S_{1/2}## levels are ##6.86 × 10^{−16}## and ##2.78 × 10^{−16} cm−1 m^2 V^{−2}## , respectively, deduce the field strength that would have to be applied to shift the wavelength by 0.001 nm, stating

whether the wavelength shift would be positive or negative.

## Homework Equations

## The Attempt at a Solution

So i know that basically; ##\vec{p}=\alpha \vec{E}##

and so ##\Delta \epsilon=-\frac{1}{2}\alpha E^2## by integrating from ##E=0## to ##E=E##.

I know that both levels shift by an amount proportional to their polarization but, im just completely stuck on how to go about solving it.

I drew a diagram and understand the process i think, just when i go about solving it I end up with stupid answers.