Interpreting Dispersion Curve for Phonons & Other Atoms

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what can be interpret from dispersion curve of phonon?how to find whether a phonon can loose all its energy to a neutron from dispersion curves?are there dispersion curves for other atom apart from phonon?
 
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kimmylsm said:
what can be interpret from dispersion curve of phonon?
The quanta of lattice vibrations are the phonons, and the dispersion tells what allowed energies exist for various wavevectors. Also, if it happens that you have negative (imaginary) frequencies, then this tells you that you have a lattice instability.

kimmylsm said:
how to find whether a phonon can loose all its energy to a neutron from dispersion curves?

AFAIK, all phonons can be excited by neutrons. You might be able to calculate a phonon cross-section to see what phonons will be most easily observed, but I don't know anything about how or if that is done.

kimmylsm said:
are there dispersion curves for other atom apart from phonon?

What do you mean? There's dispersion curves for electronic excitations (measured by ARPES), spin waves (measured by neutrons) and anything else which is k-dependent.