Interpreting Dispersion Curve for Phonons & Other Atoms

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SUMMARY

The discussion focuses on interpreting dispersion curves for phonons, which represent allowed energy levels for various wavevectors in lattice vibrations. It is established that negative frequencies in these curves indicate lattice instability. Additionally, all phonons can be excited by neutrons, and while calculating phonon cross-sections can help identify observable phonons, the specifics of this calculation were not detailed. The conversation also highlights that dispersion curves exist for other excitations, such as electronic excitations measured by Angle-Resolved Photoemission Spectroscopy (ARPES) and spin waves measured by neutron scattering.

PREREQUISITES
  • Understanding of phonons and lattice vibrations
  • Familiarity with dispersion curves and their significance
  • Knowledge of neutron scattering techniques
  • Experience with Angle-Resolved Photoemission Spectroscopy (ARPES)
NEXT STEPS
  • Research phonon cross-section calculations for neutron interactions
  • Explore the application of ARPES in measuring electronic excitations
  • Study the implications of negative frequencies in dispersion curves
  • Investigate the measurement of spin waves using neutron scattering
USEFUL FOR

Physicists, materials scientists, and researchers involved in solid-state physics, particularly those studying lattice dynamics and excitations in materials.

kimmylsm
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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.
 
thank very much.
 

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