Franck-Condon factors (vibrational transition probabilities) and r-centroids have been evaluated by a numerical integration procedure for the bands of A 0+g - X ¹sigma+, B 0+g - X ¹sigma+ systems of AuH and A 0+ - X ¹sigma+ system of AuD molecules using a suitable potential. The physical and astrophysical significances of our evaluated Franck-Condon factors and r-centroids have also been discussed, which would be helpful in the prediction of the presence of AuH and AuD molecules in various celestial bodies.

For the first time, the Franck-Condon factors and r-centroids, which are very closely related to vibrational transition probabilities, have been evaluated for the bands of A³Π+0 - X¹Σ+, B³Σ-1 and C¹Π - X¹Σ+ systems of GaF and InF molecules. A numerical integration procedure is followed to evaluate these transition probability parameters, using a suitable potential.

Por primera vez se evalúa el factor de Franck-Condon y los centroides r, los cuales están íntimamente relacionados con las probabilidades de transición vibracional. Estos son evaluados para las bandas de A³Π+0 - X¹Σ+, B³Π-1X¹Σ+ y para los sistemas C¹Π - X¹Σ+ de las moléculas de GaF y InF. La evaluación de los parámetros de transición se realiza mediante un procedimiento de integración numérica usando un potencial adecuado.

The Franck-Condon (FC) factors (transition probabilities) and r-centroids have been evaluated by the more reliable numerical integration procedure for the bands of A³ Πi- X³ Σ- system of molecule PD, using a suitable potential. The dissociation energy for the electronic ground state of PD molecule has been estimated by fitting the empirical potential function to the experimental potential energy curve, using correlation coefficient.

Los factores de Franck-Condon (probabilidades de transición) y los centroides r han sido evaluados por el método de integración numérica más confiable para las bandas del sistema de molécula PD A³ Πi- X³ Σ- usando un potencial adecuado. La energía de disociación para el estado base de la molécula PD ha sido estimada ajustando la función empírica del potencial a la curva de energía experimental, usando el coeficiente de correlación.