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By Bruno Lüthi

Physical Acoustics within the good country stories the fashionable points within the box, together with many experimental effects, in particular these related to ultrasonics. It covers essentially all fields of solid-state physics. After a evaluate of the appropriate experimental strategies and an advent to the idea of elasticity, the booklet info purposes within the numerous fields of condensed subject physics.

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Extra info for Physical Acoustics in the Solid State (Springer Series in Solid-State Sciences)

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In the lattice dynamics, we relax this condition and consider wave propagation in the whole wave length spectrum down to λ ∝ a. Since the de Brogle wave length hp , with p the momentum, is very small for lattice waves, the lattice wave problem can be treated essentially classically. 1 Phonon Dispersion By defining the lattice displacement us,l (atom s in the unit cell l) we get the du kinetic energy KE = s,l 12 Ms ( dts,l )2 and for the potential energy V (us,l ) with an expansion in us,l : V = V0 + 1 2 ujs,l ujs ,l s,s ,l,l j,j ∂2V ∂ujs,l ∂ujs ,l + ··· Here we have assumed that such a potential exists for the whole crystal and that it can be expressed in terms of the instantaneous positions of all the atoms (j = Cartesian component).

For ω → 0 and q → 0 we come into the region of elastic waves with ω = vs q. If there are different atoms in the unit cell, as for instance in NaCl, optical branches (transverse T O and longitudinal LO ones) are also obtained. We will encounter one such case in Sect. 2. Other examples of lattice dynamics will be given in Sects. 2 and Chap. 11. 7 shows that for small q near the Γ point (000), the phonon dispersion is linear and reads ω = vs q with vs the sound velocity in the corresponding direction.

7). It is clearly seen that we have in general one longitudinal and two transverse acoustic branches. For ω → 0 and q → 0 we come into the region of elastic waves with ω = vs q. If there are different atoms in the unit cell, as for instance in NaCl, optical branches (transverse T O and longitudinal LO ones) are also obtained. We will encounter one such case in Sect. 2. Other examples of lattice dynamics will be given in Sects. 2 and Chap. 11. 7 shows that for small q near the Γ point (000), the phonon dispersion is linear and reads ω = vs q with vs the sound velocity in the corresponding direction.

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