In a monatomic lattice,
standing waves are
formed when
Answers
Answer:
For monatomic gases we can model heat energy as the kinetic energy of the atoms. This model leads to the ideal gas law, and the model can be expanded to include other gas molecules. For solids, we can model heat energy as the energy in lattice vibrations
When the lattice is at equilibrium each atom is positioned exactly at its lattice site. Now suppose that an atom displaced from its equilibrium site by a small amount. Due to force acting on this atom, it will tend to return to its equilibrium position. This results in lattice vibrations.
The allowed frequencies of propagation wave are split into an upper branch known as the optical branch, and a lower branch called the acoustical branch. There is a band of frequencies between the two branches that cannot propagate. The width of this forbidden band depends on the difference of the masses.
Explanation:
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