Franck—Condon factors,r-centroids and electronic transition moment variation with internuclear distance of theA 1Σ−X 1Σ band system of BaO using RKR potentials

Abstract

A comparative study of both RKR andMorse potentials as applied to AlO(A2Σ−X2Σ) band system has been made through various tests. Franck—Condon (FC) factors andr-centroids\(\bar r_{v'v''} \) with the use of RKR potential have been evaluated and have been employed to derive expressionRe(r) for electronic transition moment variation with internuclear distancer, 01 both by linear and quadratic fitting. Using suchRe(r) relations in conjunction with FC factors and also with experimental band strengths (I/vv′v″4, Smoothed Condon (Pv/t’v/t") factors andβ(=I/Pv/t’v/t"vv′v″4, the ratio of experimental band strength (I/vv/t’v/t"4 to the calculated Smoothed Condon (Pv/t’v/t") factor has been determined. Through the comparison ofPv/t’v/t"’s andβ’s of RKR potential and ofMorse potential, the efficacy ofMorse potential relative to RKR has been discussed. Vibrational temperatures for all the three thermal sources of excitation of bands, viz. Shock Tube, Low Pressure Arc and Exploding Wire have been deduced both under constancy ofRe and variation ofRe withr. These estimates on vibrational temperatures with the source temperatures have been discussed in the light of the findings ofLinton andNicholls and conclusions regarding relative merits of the two potentials indicated.