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An alpha particle is essentially a 4He nucleus, 2 protons and 2 neutrons, one of the most stable configurations of protons and neutrons possible. So if an atom spits out 2 protons and 2 neutrons in an alpha particle, it must lose 2 protons and 2 neutrons from its own particle count. If you consider that the mass number is just the sum of protons and neutrons, then you can see that the mass number will simply decrease by 4. However what's really interesting is that in general, the mass (not mass number) of the atom decreases by just a little more than the mass of 2 protons and 2 neutrons. That missing mass goes into the famous E=mc2 equation to be the energy with which the alpha particle leaves (also some energy will be in the recoil of the nucleus emitting it, but for heavy atoms usually this is fairly small.)

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