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Mathematics, 16.10.2019 23:10 girlgirl7230

2. vibrational excitations in a diatomic molecule can be described with a potential energy function of the form u(r) = d(1 ())2 where r is the interatomic distance, re is the equilibrium bond distance, d is the dissociation energy (a constant), and a is a constant. a) if u is measured in joules and r is measured in nanometers (nm), what are the units of re, d, and a. b) what is the value of the potential at very large separations (r re). c) find the value of r for which u is a minimum. d) what is the minimum value of u? e) consider the expansion of u(r) in powers of r around r = re u(r) u(re) + g(r re) + 1 2 k(r re)2 + nd g and k.

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