Excitation energies of closed-shell systems based on the equation-of-motion (EOM) coupled-cluster theory at the singles and doubles (CCSD) level with spin-orbit coupling (SOC) included in the post-Hartree-Fock treatment are implemented in the present work. SOC can be included in both the CC and EOM steps (EOM-SOC-CCSD) or only in the EOM part (SOC-EOM-CCSD). The latter approach is an economical way to account for SOC effects, but excitation energies with this approach are not size-intensive. When the unlinked term in the latter approach is neglected (cSOC-EOM-CCSD), size-intensive excitation energies can be obtained. Time-reversal symmetry and spatial symmetry are exploited to reduce the computational effort. Imposing time-reversal symmetry results in a real matrix representation for the similarity-transformed Hamiltonian, which facilitates the requirement of time-reversal symmetry for new trial vectors in Davidson's algorithm. Results on some closed-shell atoms and molecules containing heavy elements show that EOM-SOC-CCSD can provide excitation energies and spin-orbit splittings with reasonable accuracy. On the other hand, the SOC-EOM-CCSD approach is able to afford accurate estimates of SOC effects for valence electrons of systems containing elements up to the fifth row, while cSOC-EOM-CCSD is less accurate for spin-orbit splittings of transitions involving p1/2 spinors, even for Kr.

Unlike C-N bond formation with classical dirhodium(II)-nitrenoids as the key intermediate, dirhodium(II)-catalyzed 1,2-and 1,3-diamination reactions are realized by a free radical mechanism. A mechanistic study revealed that the reactions undergo...

In this work, we report implementation of the equation-of-motion coupled-cluster method for doubly ionized states (EOM-DIP-CC) with spin-orbit coupling (SOC) using a closed-shell reference. Double ionization potentials (DIPs) are calculated in the space spanned by 2h and 3h1p determinants with the EOM-DIP-CC approach at the CC singles and doubles level (CCSD). Time-reversal symmetry together with spatial symmetry is exploited to reduce computational effort. To circumvent the problem of unstable dianion references when diffuse basis functions are included, nuclear charges are scaled. Effect of this stabilization potential on DIPs is estimated based on results from calculations using a small basis set without diffuse basis functions. DIPs and excitation energies of some low-lying states for a series of open-shell atoms and molecules containing heavy elements with two unpaired electrons have been calculated with the EOM-DIP-CCSD approach. Results show that this approach is able to afford a reliable description on SOC splitting. Furthermore, the EOM-DIP-CCSD approach is shown to provide reasonable excitation energies for systems with a dianion reference when diffuse basis functions are not employed.

In this work, equilibrium bond lengths and harmonic frequencies of some closed-shell diatomic heavy-element compounds are calculated at a series of coupled-cluster (CC) levels including CCS, CC2, CCSD and CCSD(T) with spin-orbit coupling (SOC) included in post-Hartree-Fock (HF) step. The purpose of this work is to demonstrate the performance of CC2 for heavy element compounds and to investigate the separability between SOC and electron correlation at different correlation levels. According to our calculations, CC2 results agree well with MP2 results for these molecules except for SnO, Sb2, PbO and Bi2 and the bond lengths of SnO and PbO with CC2 are overestimated by about 0.25 Å compared to when using other approaches. Furthermore, SOC effects on electron correlation are significant for Bi2 and At2 at CCSD(T) level, while this is the case only for Bi2 at CCSD level. For 5th-row element compounds, SOC effects on bond lengths and harmonic frequencies at different levels agree well with each other except for Sb2. On the other hand, SOC effects at CCSD level are in good agreement with those at CCSD(T) level for the investigated 6th-row element compounds except for At2, whereas SOC effects at low correlation levels will be different from those at CCSD(T) level to some extent.

Activated by multiple consecutive oxidative radical‐polar crossover and desaturation processes, the selective diamination of arylcyclobutanes, which is difficult to perform by classical metallonitrene C−H insertion, was achieved in a short time by rhodium(II) catalysis using N‐fluorobenzenesulfonimide (NFSI) as the oxidant and nitrogen source.