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).

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. The virtue of the graphical procedure is that it provides a very good indication of the quality of the fit as well as giving values for the constants sought. The random error in the constants can be estimated from the actual scatter of the points. After the constants for this band have been found, combine them with other data given in Table 1 to find Be,v~e,e, and xe for H35Cl. Be, and e can be found using a graph based on Eq. (9). v~e and xe can be found from a graph based on the defination of the band origin. You should also determine the same parameters for D35Cl. The results obtained should verify that the value of re is the same for the different isotopic species (within experimental uncertainty), and that the zero-order vibrational frequencies satisfy the relation v~e,D35Clv~e,H35Cl=(H35ClD35Cl)1/2 Table 1. Supplementary Spectroscopic Results for H35Cl and D35Cl All data and calculated results should be tabulated neatly to facilitate checking