Considering this expression
$\frac{2 J+1}{8 \pi^{2}} \int D_{m_{1}, m_{1}}^{(j)}(R) D_{m, m_{2}}^{(j)}(R) D_{M M^{-}}^{(j) *}(R) d R$
They say it is possible to change the argument R to RR_0 where R_0 is a constant rotation matrix, since the integral surrounds all the rotations R, and holding the same final result of that integral. How can we prove that?
The book, Solomons' Organic Chemistry (for JEE Mains and Advance), contains the following question:
Hydrogen fluoride has a dipole moment of $1.82 \text D$; its boiling point is $19.34°\text C$. Ethyl fluoride ($\ce {CH_3CH_2F}$) has an almost identical dipole moment and has a larger molecula...
