Question

In co, the J=0 →J=1 transition, absorption occurs at forequency 1-15x10" Hz. Moment of Inertia of the molecule is ? (b) find the Bondlength of the Co molecule.

Answer 1

$\mu=\frac{m_1m_2}{m_1+m_2}=1.14\cdot 10^{-26}~kg,$

$\nu=\frac{1}{2\pi}\sqrt{\frac{k}{\mu}}\implies$

$k=4\mu \pi^2 \nu^2=0.45~\frac{MN}{kg},$

$I=\frac{h}{8\pi^2 k^3}=0.92\cdot 10^{-52}~kg\cdot m^2,$

$r=\sqrt{\frac{I}{\mu}}=8.98\cdot 10^{-14}~m.$