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I'm trying to derive a simple formula for 180° scattering.

I've got to this stage and I really can't figure out how to simplify it further.

[tex]\[ \frac{1}{\lambda}-\frac{1}{\lambda'} = \frac{2m_ec}{h} \][/tex]

What I actually need is:

[tex]\[ \lambda' - \lambda = \frac{2h}{m_ec} \][/tex]

I'm pretty sure the first formula is right but I can't seem to simplify it into the second!

Thanks in advance.

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# Compton Scattering formula for 180 degree scattering.

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