Question Throo: (7 points) A linear lattice of atoms of mass m, inter-atomic distance a and elastic force constant C as

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Question Throo 7 Points A Linear Lattice Of Atoms Of Mass M Inter Atomic Distance A And Elastic Force Constant C As 1 (199.86 KiB) Viewed 251 times

Please solve this question completely and in a (correct) way as soon as possible and in its entirety. An accurate solution, without explanation. I just want the mathematical solution (solid state physics) to give you a very good evaluation.
Question Throo: (7 points) A linear lattice of atoms of mass m, inter-atomic distance a and elastic force constant C as shown in the figure. Answer the following questions step by step: s+1 $+2 s +3 a +4 a) Write down the force acting on the atom s from the right: Ta on JetAt for, het La most.. F.S. EGYST ] [ S[ Vs I Hor). b) Write down the force ficting on the atom s from the left:: Write down the equation of motion of the atom s: :: & pr ...The... cas...afmation a analom.in. pl..... m Lus Highs d) Using the suitable travelling wave functions find difference equation and find the dispersion relation: As suitable travelling wave functions hind वृद्भ ...The equ.. af trexilling... m duy .L. [..MSI....sy.S.J. Zv dx e) Draw the dispersion relation for the first Brillouin zone showing the limits of both axes: w² 2 रट ... M. (..!...coska.... ..Bounday.. of.. first.. Birillouin .zen.en... .c.2. cpu...sin ka- M .K.E.I. K√.a........ Here. Sin. Kaa. Sim (IT) 20 baignome dw² d. K 0, ܚܨܠܗ& 428-18 N U₂+] U₂4-2 4.13 U+4 K الحل 0 0