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A transition of an electron from orbital $3\text d$ to $4\text s$ produces photons and in small chances gravitons ($\Delta l= \pm2$) through quadrupole transitions.

In 2 atoms, if one does this transition and emits a photon, it will gain some speed from the emission recoil. Will this recoil be the same for the graviton emitting atom? Or significantly lower due to gravity being far weaker than electromagnetism?

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