PHZ3400 Sound: Difference between revisions

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==Harmonic approximation: inter-atomic forces as springs==
==Harmonic approximation: inter-atomic forces as springs==
* If we put energy into a crystal the atoms will begin to vibrate.
* We are able to put energy into the crystal in two ways: Mechanical and Thermal.
** Mechanical energy are sound waves
** Thermal energy can be used to measure resistivity.
* Periodicity helps to simplify the problem of lattice vibrations.


==One dimensional mono-atomic chain==
==One dimensional mono-atomic chain==

Revision as of 15:19, 9 February 2009

Vibrational modes of a one-dimensional chain

Harmonic approximation: inter-atomic forces as springs

  • If we put energy into a crystal the atoms will begin to vibrate.
  • We are able to put energy into the crystal in two ways: Mechanical and Thermal.
    • Mechanical energy are sound waves
    • Thermal energy can be used to measure resistivity.
  • Periodicity helps to simplify the problem of lattice vibrations.

One dimensional mono-atomic chain

Sound waves - acoustic modes

One dimensional diatomic chain: optical modes