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Journal ArticleDOI

Electron excitation energies using a consistent third-order propagator approach: Comparison with full configuration interaction and coupled cluster results

Alexander B. Trofimov, +2 more
- 26 Sep 2002 - 
- Vol. 117, Iss: 14, pp 6402-6410
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TLDR
In this article, a consistent third-order propagator method for the treatment of electronic excitation in molecules is tested in first applications and the results reflect a substantial and uniform improvement with respect to the second-order description.
Abstract
A recently developed consistent third-order propagator method for the treatment of electronic excitation in molecules is tested in first applications. The method referred to as third-order algebraic-diagrammatic construction [ADC(3)] extends the existing second-order approximation and aims at a more accurate computation of excitation energies and transition moments than afforded at the second-order level. For a stringent test of the method we compare the ADC(3) energies for over 40 singlet and triplet vertical transitions in H2O, HF, N2, and Ne with the results of recent full configuration interaction (FCI) and coupled cluster (CC) computations. The ADC(3) results reflect a substantial and uniform improvement with respect to the second-order description. The mean absolute deviation of the single excitation energies from the FCI results is below 0.2 eV. Although this does not equal the accuracy of the third-order CC3 model, the ADC(3) method, scaling as N6 with the number of orbitals, may be viewed as a good compromise between accuracy and computational cost.

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Citations
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Journal ArticleDOI

Recent advances in wave function-based methods of molecular-property calculations.

TL;DR: Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations Trygve Helgaker, Poul Jørgensen, Kasper Kristensen, Jeppe Olsen, and Kenneth Ruud.
Journal ArticleDOI

The algebraic diagrammatic construction scheme for the polarization propagator for the calculation of excited states

TL;DR: The algebraic diagrammatic construction (ADC) scheme for the polarization propagator provides a series of ab initio methods for the calculation of excited states based on perturbation theory.
Book ChapterDOI

Structure Optimizations for Excited States with Correlated Second-Order Methods: CC2 and ADC(2)

TL;DR: In this article, the performance of second-order methods for excitation energies CC2 and ADC(2) is investigated and compared with the more approximate CIS and CIS(D) methods as well as with the coupled-cluster models CCSD, CCSDR(3) and CC3.
Journal ArticleDOI

Quantum Mechanical Studies on the Photophysics and the Photochemistry of Nucleic Acids and Nucleobases

TL;DR: This review provides a concise, complete picture of the computational studies carried out, approximately, in the past decade on the photophysics of DNA nucleobases in the gas phase and in solution.
References
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Journal ArticleDOI

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TL;DR: In this paper, the Fock-type one-electron operator was extended by allowing the zeroth-order Hamiltonian to have nonzero elements also in nondiagonal matrix blocks.
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Journal ArticleDOI

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TL;DR: In this paper, a comprehensive overview of the equation of motion coupled-cluster (EOM•CC) method and its application to molecular systems is presented by exploiting the biorthogonal nature of the theory, it is shown that excited state properties and transition strengths can be evaluated via a generalized expectation value approach that incorporates both the bra and ket state wave functions.
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Methods of molecular quantum mechanics

Roy McWeeny
TL;DR: In this article, a survey of many-electron wavefunctions spin and permutation symmetry is presented, including the Electron Distribution Self-Consistent Field Theory Valence Bond Theory Multiconfiguration SCF Theory Perturbation Theory and Diagram Techniques Large-Scale CI and the Unitary-Group Approach Small Terms in the Hamiltonian Static Properties Dynamic Properties Dynamic properties and Response Theory Propagator and Equation-of-Motion Methods Intermolecular Forces Appendixes: Atomic Orbitals Angular Momentum Symmetry and Group Concepts Relativistic
Journal ArticleDOI

Coupled cluster response functions

TL;DR: The linear and quadratic response functions have been determined for a coupled cluster reference state from the response functions, computationally tractable expressions have been derived for excitation energies, first and second-order matrix transition elements, transition matrix elements between excited states, and second and third-order frequency-dependent molecular properties as discussed by the authors.
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