From the nuclear Schrdinger equation of a diatomic molecule with the vibration-rotational interaction term involved in it, under the Morse potential approximation, it derives the wavefunction relevant not only with vibrational quantum number, but also with rotational one. The Franck-Condon factors of the two band systems A³Π-X³Π of BN and A¹Π-X¹∑⁺ of BH are calculated by use of the derived wavefunction. In the calculation, the rotational quantum number ranges from J=0 to J=180. The results obtained can be used in the cases under low-or high-temperature condition and also under the condition of strong shock wave.

The transformation coefficients of Abel inverse transformation in any equidistant discretization are calculated with the method of third-degree polynomial.They can be applied to transforming the observed transverse radiance into the corrosbonding radial distribution for optical thin plasma with cylindrical symmetry.The calculated result shows that this method reaches high accuracy.