Consider the Lennard-Jones potential between atoms of mass m in a solid material. a) Find the dependence of the equilibrium position r0 on the parameters in the potential. b).For small perturbations, δr around r0, determine the restoring force as a function of δr and as a result determine the natural frequency ω0 of oscillation of the atoms as a function of the coefficients in the Lennard-Jones potential.
Consider the Lennard-Jones potential between atoms of mass m in a solid material. a) Find the dependence of the equilibrium position r0 on the parameters in the potential. b).For small perturbations, δr around r0, determine the restoring force as a function of δr and as a result determine the natural frequency ω0 of oscillation of the atoms as a function of the coefficients in the Lennard-Jones potential.
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Consider the Lennard-Jones potential between atoms of mass m in a solid material.
a) Find the dependence of the equilibrium position r0 on the parameters in the potential.
b).For small perturbations, δr around r0, determine the restoring force as a function of δr and
as a result determine the natural frequency ω0 of oscillation of the atoms as a function of
the coefficients in the Lennard-Jones potential.
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