One mechanism for the collision of these particles theorizes that the sum of the wave vectors of the original particles is equal to the final wave vector plus a reciprocal primitive translation vector, the Umklapp process.
At low temperatures, the mean free path of these particles is comparable with the dimensions of their propagation medium in the de Haas-Biermasz effect. One mechanism for the collision of these particles theorizes that the sum of the wave vectors of the original particles is equal to the final wave vector plus a reciprocal primitive translation vector, the Umklapp process. These particles always have 3 acoustic modes for a substance with greater than two atoms per unit cell. Their density of states is used to derive that the heat capacity is proportional to T cubed in the Debye Model. They drive the pairing of electrons into Cooper pairs in the BCS theory of superconductivity. For 10 points, name these bosons that propagate at the speed of sound in a solid, described as quantized lattice vibrations.
At low temperatures, the mean free path of these particles is comparable with the dimensions of their propagation medium in the de Haas-Biermasz effect.
 phonons