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Consider a two dimensional square lattice with one atom of mass m per lattice point interacting with only nearest neighbours with force constant k. Take the phonon dispersion curve to be  At high temperature  the mean square displacement of an atom from its equilibrium position will be
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider a two dimensional square lattice with one atom of mass m per ...
Total internal energy of the lattice

 


If there are N atoms in lattice

At high temperature, average P.E. equals average K.E., hence half the total energy
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Consider a two dimensional square lattice with one atom of mass m per lattice point interacting with onlynearest neighbours with force constant k. Take the phonon dispersion curve to beAt high temperaturethe mean square displacement of an atom from its equilibrium position will bea)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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