Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Two- and Three-Dimensional Lattices
Abstract In this chapter we move from the one-dimensional atomic chain to two- and three-dimensional systems. We introduce the concept of the crystal lattice and the corresponding concept of the reciprocal lattice; we then work out the formalism for calculating the normal modes in a three-dimensional infinite solid, with a brief discussion of how this can also be applied to finite objects. We conclude our discussion by discussing the quantized excitations of the vibrational normal modes of the solid, known as phonons. The properties of phonons and of the phonon gas will be worked out in Chap. 3.
Two- and Three-Dimensional Lattices
Abstract In this chapter we move from the one-dimensional atomic chain to two- and three-dimensional systems. We introduce the concept of the crystal lattice and the corresponding concept of the reciprocal lattice; we then work out the formalism for calculating the normal modes in a three-dimensional infinite solid, with a brief discussion of how this can also be applied to finite objects. We conclude our discussion by discussing the quantized excitations of the vibrational normal modes of the solid, known as phonons. The properties of phonons and of the phonon gas will be worked out in Chap. 3.
Two- and Three-Dimensional Lattices
Prof. Cleland, Andrew N. (Autor:in)
01.01.2003
43 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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