In the emission of -ray photons from an atom corresponding to a transition to nuclear ground state, momentum must be conserved, so the atom must have a small recoil. Energy balance then implies gamma rays are emitted with a spread of energies. When an atom is part of a crystal lattice, however, the entire lattice may recoil resulting in a quantized vibrational energy termed a phonon. If no phonon is emitted or absorbed, the emitted gamma rays have a very small spread of energies, given by
This is the Mössbauer effect. It is often used in Mössbauer spectroscopy.
Mössbauer was the first to observe this effect in 1958. He used gamma rays of energy 0.129 MeV,
corresponding to the transition from ground to the first excited state of
Gravitational Radiation, Phonon
References
Abragam, A. L'effet Mossbauer et ses applications. Paris: Gordon and Breach, 1964.
Bancroft, G. M. Chs. 7-8 in Mössbauer Spectroscopy: An Introduction for Inorganic Chemists and Geochemists. New York: Wiley, 1973.
Pound, R. V. and Rebka, G. A. Jr. "Gravitational Red-Shift in Nuclear Resonance." Phys. Rev. Lett. 3, 439-441, 1959.