- #1
Einj
- 470
- 59
Hello everyone! Does anyone know how to extract the velocities of longitudinal and transverse phonons starting from their Lagrangian and/or equation of motion?
Thanks!
Thanks!
Longitudinal and transverse phonons are types of lattice vibrations or waves that occur in a solid material. Longitudinal phonons involve particles moving back and forth in the same direction as the wave, while transverse phonons involve particles moving perpendicular to the direction of the wave.
Longitudinal phonons can be thought of as sound waves in a solid material, as they involve particles moving in the same direction as the wave. Transverse phonons also contribute to the overall sound wave, but to a lesser extent.
The velocities of longitudinal and transverse phonons are affected by the material properties of the solid, such as density, stiffness, and temperature. They can also be affected by the crystal structure and arrangement of atoms in the material.
The velocities of longitudinal and transverse phonons can be measured using techniques such as Brillouin scattering, inelastic neutron scattering, and ultrasonic measurements. These methods involve analyzing the interactions between the phonons and other particles or waves.
Understanding the velocities of longitudinal and transverse phonons is important for studying the properties and behavior of solid materials. It can also help in the design and development of new materials for various applications, such as in electronics, energy storage, and structural materials.