Properties of the Hydrogen Molecular Ion IV: Oscillator Strengths of the Transitions Connecting the Lowest Even and Lowest Odd  -States with Higher  -States

The oscillator strengths associated with the 1sσ g -3pσ u , 1sσ g -4pσ u , 1sσ g -4fσ u , 2pσ u -2sσ g , 2pσ u -3sσ g and 2pσ u -3dσ g transitions of H 2 + are computed from the exact two-centre wave functions. It is found that some of the transition integrals vary rapidly with the internuclear separation. The significance of this in connection with the calculation of relative intensities in band systems is briefly discussed. A comparison is made with the values of the oscillator strengths obtained using the 1.c.a.o. approximation.