Knowledge Bank

The general expansion of Che transformed dipole moment for a bent $XY2$ molecule, including terms up to degree 2 in $J\alpha (\alpha =x,y,z)$, is obtained according to symmetry consideration. Using this expansion, the wavefunctions of the ground state$\mathrm{<mrow\; data-mjx-texclass="ORD">1</mrow>}$, and of the 3 interacting states (020), (100) and (001)$\mathrm{<mrow\; data-mjx-texclass="ORD">2</mrow>}$, we have been able to perform a very good fit of the experimental results available on the $2\nu 2$, $\nu 1$ and $\nu 3$ bands of $H216O$. From them we have obtained the following values for the coefficients of the expansion of the dipole moment with respect to normal coordinates: $$^{22}\mu_{x}\cong0.014\pm0.003\mbox{ D}, ^{1}\mu_{x}=-0.0217_{0}\pm0.0010\mbox{ D}, ^{3}\mu_{z}=0.0971_{4}\pm 0.0018\mbox{ D} $$