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(Solved): (17%%)H^(35)Cl is an example of a soft diatomic molecule whose natural vibration is 2886 cm^(-1). Us ...
(17%%)H^(35)Clis an example of a soft diatomic molecule whose natural vibration is 2886
cm^(-1). Using the harmonic oscillator model in problem 1 , determine the following quantities. (a) The value of the force constant
k_(h)(b) Determine the value of the critical variation
(x_(t))in the bond length of
H^(35)Clat the first excited state. (c) Express the tunneling probability of
H^(35)Clin its first excited state in terms of
\alpha and
x_(t). Hint:
\int_0^t e^(-ax^(2))x^(2)dx=(1)/(4)((\pi )/(a^(3)))^((1)/(2))erf(\sqrt(a)t)-(te^(-at^(2)))/(2a)and
\lim_(t->\infty )erf(t)->1