Consider one dimensional chain consists of many atoms with identical masses m and separated by a...
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Consider one dimensional chain consists of many atoms with identical masses m and separated by a distance of a (lattice parameter). At equilibrium the abscissa of the nth atom is x=na. The atoms can move only in a direction parallel to the chain and we note u,, the displacement with respect to its equilibrium position. For harmonic approximation.. ei(kx) We consider the first and second nearest neighbours interaction. 1- Determine the dispersion relation co(k) for normal modes. 2- Write (k) near the center and at the limit of the 1st Brillouin zone. 3- Represent oo(k) - Consider one dimensional chain consists of many atoms with identical masses m and separated by a distance of a (lattice parameter). At equilibrium the abscissa of the nth atom is x=na. The atoms can move only in a direction parallel to the chain and we note u,, the displacement with respect to its equilibrium position. For harmonic approximation.. ei(kx) We consider the first and second nearest neighbours interaction. 1- Determine the dispersion relation co(k) for normal modes. 2- Write (k) near the center and at the limit of the 1st Brillouin zone. 3- Represent oo(k) -
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Related Book For
University Physics with Modern Physics
ISBN: 978-0321501219
12th Edition
Authors: Hugh D. Young, Roger A. Freedman, Lewis Ford
Posted Date:
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