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Computational Details of Strontium Dimer

Potentials dissociating to the 1S+1P and 1S+3P asymptotes

The multiconfiguration basis set for the calculation of the excited state potentials dissociating to the 1S+1P and 1S+3P asymptotes of the Sr2 molecule is based on the Dirac-Fock atomic orbitals belonging to the [1s2 2s2 2p6 3s2 3p6 3d10 4s2] 4p6 5s2 configuration. Additional Dirac-Fock 5p and 4d orbital and Sturmian 6s and 6p orbitals are included. The closed shells 1s22s23s23p63d104s2 + 1s22s23s23p63d104s2 form the core of the molecule and no excitations from these shells will be allowed. The 4p6, 5s2, 5p, and 4d orbitals are valence orbitals and single and double occupation and excitation from these orbitals occur. The Sturmian 6s and 6p orbitals are virtual orbitals with double occupation allowed. Covalent and ionic configurations are constructed by distributing electrons from the valence orbitals in all allowed ways over the orbitals. There are 393 nonrelativistic molecular configurations and 2290 relativistic configurations. The potential curves are calculated based on the relativistic Hamiltonian in order to take into account the spin-orbit splittings of the excited states. There are sixteen Omegag/u± relativistic potentials dissociating to the 1S+1P and 1S+3P asymptotes. Twelve of these potentials dissociate to the 1S+3P asymptotes. Non relativistic labels valid at the short internuclear separations are shown. The zero of energy is located at the dissociation limit of the ground state of Sr2.

Potentials dissociating to the 3P+3P asymptotes

The multiconfiguration basis set for the calculation of the highly excited state potentials dissociating to the 3P+3P asymptotes of the Sr2 molecule is based on the Dirac-Fock atomic orbitals belonging to the [1s2 2s2 2p6 3s2 3p6 3d10 4s2] 4p6 5s5p configuration. Additional Dirac-Fock 4d orbital and Sturmian orbitals labeled 6s and 6p are included. The closed shells 1s22s22p63s23p63d104s2 + 1s22s22p63s23p63d104s2 form the core of the molecule and no excitations from these shells will be allowed. The 4p6, 5s2, 5p, and 4d orbitals are valence orbitals and single and double occupation and excitation from these orbitals occur. Covalent and ionic configurations are constructed by distributing electrons from the valence orbitals in all allowed ways over the orbitals. This leads to the same number of molecular configuration as in the calculation for the lower lying excited states. Again the potential curves are calculated based on the relativistic Hamiltonian in order to take into account the spin-orbit splittings of the excited states.

The number of relativistic potentials Omegag/u+/- = 0, 1, 2, 3, 4 dissociating to the 3P+3P asymptotes is now significantly larger. The zero of energy is again at the dissociation limit of the ground state of Sr2. Some of the 0+ and 0- curves are degenerate on the scale of the figures.

Nonrelativistic labels are indicated on the figures but can only be used to label short range potentials.

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