We model sequential double detachment of Ag-, C-, I-, and Al- irradiated by 1064 nm light by using a strong-field model and compare the theoretical double-detachment yields with experimental ones. The symmetry of the Al- and C- ground states ensures that the outermost electrons have different magnetic quantum numbers m. The difference in detachment rate for electrons with different m values leads to a 50% higher saturation intensity than expected from application of the strong-field model with ionization rates for m=0 electrons only. For I-, emission of two m=0 electrons requires that the I+ ion is left in an excited state, and this leads to an increase of 20% in the saturation intensity. Good agreement is obtained with experiment for Ag-, C-, and I-, but a large discrepancy is observed for Al-. The calculations thus indicate that rearrangement of electrons over the available m values may not occur for double detachment at low intensities. Finally, we explain why C- and Al- are well suited for further investigations on the effect of the distribution over m values on sequential double detachment.
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