What if $\gamma$-rays in Electron microscope?

I was referring Electron microscopes and read that the electrons have wavelength way less than that of visible light. But, the question I can't find an answer was that, If gamma radiation has the smallest of wavelengths of all, why can't it be used to reach to even finer details in microscopy?

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As X-Rays & $\gamma$-rays have very low wavelength, one could think of building an X-Ray or gamma-ray microscope. But, the problem only arrives at focusing both. They can't be focused as visible light is focused using refractive convex lenses (in microscope) thus providing a magnification of about 2000. Another problem with gamma rays is that they've very high ionizing power and interact with matter to the maximum extent thereby destroying it (causing atomic decay).

But on the other hand, we've Electron microscopes which work on the principle of wave nature of moving electrons. Electrons accelerated through a potential difference of 50 kV have a wavelength of about 0.0055 nm. (which is according to de-Broglie relation of wave-particle duality - $\lambda=\frac{h}{\sqrt{2meV}}=\frac{1.227}{\sqrt{V}}$nm) This is $10^5$ times less than the wavelength of visible light there by multiplying the magnification by $10^5$.

If you've read enough about electron microscopes, you should've known the fact that Electrons could be easily focused using electric & magnetic fields than going into a more complex one... :)

Even if these great physicists try something of focusing the gamma rays, it's production and maintenance would be far too difficult and expensive either. Because, we know that $\gamma$-rays could be produced only by means of radioactive decays which is biologically hazardous...

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ok..that focussing point of ur's makes sense..!! –  Blackbird Oct 12 '12 at 15:52