4. Consider a linear chain (Figure 2) with two masses (M, & M2) per unit cell (the lattice constant is a) connected by the spring constants f. Assume that M, M2, Let the grey one be M, and M, be light blue. The Hooke's approximation is used and only is taken into account the action of nearest neighbours characterized by a force constant f. determine the phonon dispersion relation. 8-1 S+1 s+1 S+2 V. V... Figure 2: Diatomic linear chain

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4. Consider a linear chain (Figure 2) with two masses (M, & M2) per unit
cell (the lattice constant is a) connected by the spring constants f.
Assume that M, M2, Let the grey one be M, and M2 be light blue. The
Hooke's approximation is used and only is taken into account the action
of nearest neighbours characterized by a force constant f. determine
the phonon dispersion relation.
s-1
s+1
s+1
S+2
Us
U..2
Figure 2: Diatomic linear chain
Transcribed Image Text:1 4. Consider a linear chain (Figure 2) with two masses (M, & M2) per unit cell (the lattice constant is a) connected by the spring constants f. Assume that M, M2, Let the grey one be M, and M2 be light blue. The Hooke's approximation is used and only is taken into account the action of nearest neighbours characterized by a force constant f. determine the phonon dispersion relation. s-1 s+1 s+1 S+2 Us U..2 Figure 2: Diatomic linear chain
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