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Extended coupled cluster method

VavaP has put forward a scheme for finding the cluster and derived cluster amplitudes from the extended coupled-cluster method, in which cluster amplitudes... [Pg.307]

The full configuration interaction method [34-36] is exact in the sense that after choosing appropriate atomic basis functions (defining the model in this way), the resulting many-electron wavefunction is an exact eigenfunction of the model Hamiltonian, the computational effort, nevertheless, increases in an exponential manner. Truncation of the full Cl expansion (especially after single and double excitations, CI-SD) considerably reduces the necessary computational resources, but leads unfortunately to the serious problem of nonsize-consistency [37, 38] which makes the results even for medium systems unrealistic. The coupled-cluster method [39, 40] theoretically properly describes extended systems as well, but numerous experiences show the enormous increase of computational work with the size of the system. [Pg.49]

Electronic correlation in extended systems remains a central problem despite impressive progress in recent years. For small systems a number of very powerful methods have reached a high degree of accuracy thanks to a combination of formal algebraic and numerical techniques. These include configuration interaction,1-5 propagator methods,2,4 5 many-body perturbation procedures,3-5 and coupled-cluster methods.4 For extended systems density functional methods6,7 dominate the scene. Certain forms of correlation are taken into account by such methods, but how and to what extent are still unclear.8... [Pg.225]

The coupled-cluster method (CC) is another very promising procedure for constructing correlated wave functions in a systematic way.43 Unlike Cl, CC can be used also for extended systems.44 A remarkable example of its efficiency is provided by applications to the electron gas for both high,... [Pg.247]

The method described in this section was first proposed by W. Klopper [99] and first applied in the context of finite perturbation theory. It was later extended by Franke and van Wullen [101]. For a recent application combined with MC-SCF and approximate MC-SCF-based coupled-cluster methods see Ref. [100]. [Pg.750]

A particular variant of the coupled cluster method, called Fock-space or valence-universal [49,50], gave remarkable agreement with experiment for many transition energies of heavy atoms [51]. This success makes the scheme a useful tool for reliable prediction of the structure and spectrum of superheavy elements, which are difficult to access experimentally. A brief description of the method is given below. A more flexible scheme with higher accuracy and extended applicability, the intermediate Hamiltonian Fock-space coupled cluster approach, is shown in the next section. [Pg.88]

The purpose of this work is to extend Sekino and Bartlett s approach - which we will refer to as a linearized EOM coupled cluster (EOM-CCl) method - to computations of the frequency-dependent optical rotations of chiral molecules. The development of coupled cluster methods in this field has been dedicated to the implementation of streamlined models of chiroptical properties that are applicable to large molecules[27,28], and this work represents apossible step toward that goal. We will compare the performance of the EOM-CCl approach to its linear-response counterpart - both in terms of theoretical predictions and computational efficiency - for the rigid chiral molecules (5 )-methyloxirane, (5)-2-chloropropionitrile, and (1S,4S)-norbornenone, as well as the conformationally flexible species (/ )-epichlorohydrin. [Pg.226]

Couple cluster methods differ from perturbation theory in that they include specific corrections to the wavefunction for a particular type to an infinite order. Couple cluster theory therefore must be truncated. The exponential series of functions that operate on the wavefunction can be written in terms of single, double and triple excited states in the determinantl " . The lowest level of truncation is usually at double excitations since the single excitations do not extend the HF solution. The addition of singles along with doubles improves the solution (CCSD). Expansion out to the quadruple excitations has been performed but only for very small systems. Couple cluster theory can improve the accuracy for thermochemical calculations to within 1 kcal/mol. They scale, however, with increases in the number of basis functions (or electrons) as N . This makes calculations on anything over 10 atoms or transition-metal clusters prohibitive. [Pg.436]


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See also in sourсe #XX -- [ Pg.50 ]




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Cluster coupled

Cluster method

Clusters extended

Couple cluster methods

Coupled Cluster methods

Coupled method coupling

Extended coupled-cluster

Method clustering

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