A new generation of diagonal self-energy approximations in ab initio electron propagator theory for the calculation of electron removal energies of molecules and molecular ions has been derived from an intermediately normalized, Hermitized super-operator metric. These methods and widely used antecedents such as the outer valence Green’s function and the approximately renormalized partial third order method are tested with respect to a dataset of vertical ionization energies generated with a valence, triple-ζ, correlation-consistent basis set and a converged series of many-body calculations whose accuracy approaches that of full configuration interaction. Several modifications of the diagonal second-order self-energy, a version of G0W0 theory based on Tamm–Dancoff excitations and several non-diagonal self-energies are also included in the tests. All new methods employ canonical Hartree–Fock orbitals. No adjustable or empirical parameters appear. A hierarchy of methods with optimal accuracy for a given level of computational efficiency is established. Several widely used diagonal self-energy methods are rendered obsolete by the new hierarchy whose members, in order of increasing accuracy, are (1) the opposite-spin non-Dyson diagonal second-order or os-nD-D2, (2) the approximately renormalized third-order quasiparticle or Q3+, (3) the renormalized third-order quasiparticle or RQ3, (4) the approximately renormalized linear third-order or L3+, and (5) the renormalized linear third-order or RL3 self-energies.
Ab initio electron propagator (EP) methods that are free of adjustable parameters in their self-energy formulae and in the generation of their orbital bases have been applied to the calculation of the lowest vertical ionization energies (VIEs) of the GW100 set. An improved set of standard results accompanied by irreducible representation assignments has been produced indirectly with coupled-cluster singles and doubles plus perturbative triples, i.e., CCSD(T), total energy differences at initial-state geometries reoptimized (in 28 cases) with the largest applicable point groups. The best compromises of accuracy and efficiency belong to a new generation of EP self-energies, several members of which may be derived from an intermediately normalized, Hermitized super-operator metric. The following diagonal self-energy methods are optimal: opposite-spin non-Dyson second order (os-nD-D2), approximately renormalized partial third order (P3+), approximately renormalized quasiparticle third order (Q3+), and non-Dyson approximately renormalized linear third order version B (nD-L3+B). Their mean absolute errors (MAEs) in electron volts and arithmetic scaling factors expressed in terms of occupied (O) and virtual (V) orbital dimensions are, respectively, (0.18, OV2), (0.14, O2V3), (0.15, O2V3), and (0.11, OV4). The 0.06 eV MAE for the non-diagonal, sixth-power (O2V4) Brueckner doubles, triple-field operator (BD-T1) EP method is exceeded by the 0.1 eV MAE with respect to experiments in seventh-power, ΔCCSD(T) calculations and indicates that BD-T1 may serve as a direct, spin-symmetry-conserving alternative in the generation of standard results for VIEs of larger, closed-shell molecules.
A new generation of ab initio electron-propagator self-energy approximations that are free of adjustable parameters is tested on a benchmark set of 55 vertical electron detachment energies of closed-shell anions. Comparisons with older self-energy approximations indicate that several new methods that make the diagonal self-energy approximation in the canonical Hartree−Fock orbital basis provide superior accuracy and computational efficiency. These methods and their acronyms, mean absolute errors (in eV), and arithmetic bottlenecks expressed in terms of occupied (O) and virtual (V) orbitals are the opposite-spin, non-Dyson, diagonal second-order method (os-nD-D2, 0.2, OV 2 ), the approximately renormalized quasiparticle third-order method (Q3+, 0.15, O 2 V 3 ) and the approximately renormalized, non-Dyson, linear, third-order method (nD-L3+, 0.1, OV 4 ). The Brueckner doubles with triple field operators (BD-T1) nondiagonal electron-propagator method provides such close agreement with coupled-cluster single, double, and perturbative triple replacement total energy differences that it may be used as an alternative means of obtaining standard data. The new methods with diagonal self-energy matrices are the foundation of a composite procedure for estimating basis-set effects. This model produces accurate predictions and clear interpretations based on Dyson orbitals for the photoelectron spectra of the nucleotides found in DNA.
Ab initio electron propagator methods are employed to predict the vertical electron attachment energies (VEAEs) of OH3+(H2O)n clusters. The VEAEs decrease with increasing n, and the corresponding Dyson orbitals are diffused over exterior, non-hydrogen bonded protons. Clusters formed from OH3− double Rydberg anions (DRAs) and stabilized by hydrogen bonding or electrostatic interactions between ions and polar molecules are studied through calculations on OH3−(H2O)n complexes and are compared with more stable H−(H2O)n+1 isomers. Remarkable changes in the geometry of the anionic hydronium–water clusters with respect to their cationic counterparts occur. Rydberg electrons in the uncharged and anionic clusters are held near the exterior protons of the water network. For all values of n, the anion–water complex H−(H2O)n+1 is always the most stable, with large vertical electron detachment energies (VEDEs). OH3−(H2O)n DRA isomers have well separated VEDEs and may be visible in anion photoelectron spectra. Corresponding Dyson orbitals occupy regions beyond the peripheral O–H bonds and differ significantly from those obtained for the VEAEs of the cations.
The mechanistic pathways for the tandem sequential [4 + 2] / [3 + 2] and [3 + 2]/[4 + 2] cycloaddition reaction of functionalized‐acetylenes with cyclooctatetraene (COTE) and nitrile imines for the formation of the biologically‐active tricyclic cyclobutane‐condensed pyrazoline systems, and the subsequent cycloreversion/thermolysis of these adducts, have been studied using density functional theory (DFT) at the M06‐2X/6‐31G(d) and 6‐311G(d,p) levels with the aim of providing mechanistic rationale for the regioselectivities and stereoselectivities. Along the [4 + 2] / [3 + 2] addition sequence, it has been found that the initial 6π‐electrocyclic ring‐closure of the COTE is the rate‐determining step irrespective of the type of substituent on the parent acetylene or the nitrile imine. The mechanistic channels along the [4 + 2] / [3 + 2] addition sequence show that the addition of the dipole across the unsubstituted olefinic bond in the cyclohexadiene moiety in the endo fashion is the most favored, which is in agreement with experimentally observed selectivity. The results show that the thermolysis proceeds with relatively high activation barriers toward formation of the monocyclic pyrazolines among other products. The decomposition of the tandem adducts has been found to be controlled solely by kinetic factors. An exploration of a [3 + 2] / [4 + 2] addition sequence as a mechanistic possibility reveals that in contrast to the [4 + 2] / [3 + 2] addition sequence, the Diels‐Alder addition step is the rate‐determining. The [3 + 2] / [4 + 2] addition order is found as an approach with better selectivity as it leads to formation of only tandem adducts where the nitrile imines are attached to the substituted olefinic bond in the cyclohexadiene subunit. The results show that the monocyclic pyrazolines obtained from the thermolysis of the [4 + 2] / [3 + 2] tandem adducts could easily be obtained from a direct 1,3‐dipolar addition of the alkynes with the dipoles which has been found to proceed rapidly with low activation barriers. The results are rationalized with perturbation molecular orbital theory.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.