Knowledge Bank

“In the absence of certain ``doublings’’ or resonances, the familiar ground state combination differences may be represented by the single expression [ ^{\Delta K} (\Delta J_{1}){k} (J - \Delta J{1}) - ^{\delta K} (\Delta J_{2}){K} (J - \Delta J{2}) = {B_{o} - D_{o}^{JK} K^{2} - D_{0}{^{j}}[2 J (J + 1)-\delta_{1} - \delta_{2}]}(\delta_{1} - \delta_{2}) ] where $\delta j=(2j+1-\delta Ji)\Delta Jj,i=1$ or 2; which encompasses all possible types of ground state combination differences (J is the J value of the common upper state, and both K and $\Delta K$ are the same for a given combination difference). The statistically most favorable values of $B0,D0JK$ and may be obtained by performing a least squares analysis of All the available combination differences simultaneously, e.g. of the types R-Q. Q-P and R-P for many values of K and J. The application of this method to the analysis of parallel bands of $CH3D$ and $CHD3$ will be presented. “