What happens to X-rays if they do not meet Bragg's law?

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gaiussheh
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Bragg's law states that it must meet ##2d\sin[\theta]=m\lambda## for diffraction to happen. I just wonder, if you have an x-ray of slightly different energy that hits the crystal plane at the same angle ##\theta##, what would happen? It certainly can't form the same diffraction pattern at the same angle ##\theta##, but as the electrons in the crystal still vibrate, the x-ray still goes somewhere. Can they find another plane so that the diffraction happens at another angle? Or is the energy spread out evenly in ##4\pi##?
 
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For any EM radiation, each wavelength forms its own diffraction pattern independently and these are superimposed on a screen.