A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
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. (author)
2003-01-01
43 pages
Article/Chapter (Book)
Electronic Resource
English
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