Complete calculations for all spectral constants beginning on pg 19. (Be sure to read carefully to find all the constants that you are responsible for omit all calculations referring to DCl). I need help deriving these eqns for the graphs. Pleases help by writing on piece of paper the step by step work to get these.

The theoretical expressions for the frequencies of the R and P branch lines are Eqs. (19) and (20) respectively. In the present case (1-0 band) the vibrational quantum numbers are v=1 and v =0. Rewriting Eqs. (19) and (20) for this case, one has v~R=v~e2xev~e+(Bv+Bv)(J+1)+(BvBv)(J+1)24De(J+1)3v~p=v~e2xev~e(Bv+Bv)J+(BvBv)J2+4DeJ3 From analysis of the data for this band (v~e and v~e vs J) you can find experimental values for the band origin ns2(vv)v~e[1xe(v+v+1)], the effective rotational constants B0 and B1, and the centriffugal distortion constant De. Graphical procedures based on Eqs. (19) and (20) are suitable for this analysis. The quantities plotted are 21[v~R(J)+v~P(J+1)]vs(J+1)2J+21v~R(J)v~P(J)vs(J2+J+1)J+21v~R(J1)v~P(J+1)vs(J2+J+1) Before doing the analysis, you should combine Eqs. (22) and (23) as shown in Eqs. (24) - (26), and verify from them that Eqs. (24) - (26) are predicted to be linear and that the desired constants can be obtained from the slopes and intercepts of thes graphs