Radiative transition parameters for the [formula omitted] band system of 107,109Ag 2

Abstract

Radiative transition parameters are tabulated for the A 1 Σ u + - X 1 Σ g + band system of the silver dimer 107,109Ag 2 for bands involving vibrational levels up to v ′ = 54 and v ″ = 98 , which amply covers the band transitions empirically studied in the seminal work of Kleman and Lindkvist [B. Kleman, S. Lindkvist, Arkiv för Fysik 9 (1955) 385–390]. The tabulated parameters include band-origin wavelengths and wavenumbers, Franck–Condon factors, r-centroids, electronic transition moments, Einstein coefficients (spontaneous emission rates) and absorption band oscillator strengths. Rydberg–Klein–Rees potential energy curves for both electronic states, based on the latest available spectroscopic constants, were calculated, and then used to solve the radial Schrödinger equation for the vibrational wave functions, ψ v ′ and ψ v ″ . The constant electronic transition moment function R e ( r ) = 3.05 a.u. was fitted to previously reported relative absorption band strength measurements and the radiative lifetime of the A 1 Σ u + state. A numerical integration of ∫ ψ v ′ ∗ R e ( r ) ψ v ″ d r was performed in computing the Einstein coefficients and absorption band oscillator strengths, and these were found to differ negligibly from similar results obtained with the r-centroid approximation, as expected for a constant R e ( r ) function.