Frequency to shatter a molecule

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How do you calculate the resonant frequency required to shatter a calcium or magnesium molecule?
 
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In most cases, UV (ultra violet) light is sufficient to break molecular bonds. Electrons from calcium or magnesium atoms can be removed by X-rays up to and above the k-shell binding energy (=202 x 13.6 eV for calcium, and 122 x 13.6 eV for magnesium). I do not know of any resonant frequency to shatter the molecules, although in certain cases, IR (infra red) light can break molecular bonds.