Density functional calculations, transition

Keywords Density functional calculations Transition metal complexes NMR chemical shifts Nuclear spin-spin coupling constants Relativistic quantum chemistry... 

A number of types of calculations can be performed. These include optimization of geometry, transition structure optimization, frequency calculation, and IRC calculation. It is also possible to compute electronic excited states using the TDDFT method. Solvation effects can be included using the COSMO method. Electric fields and point charges may be included in the calculation. Relativistic density functional calculations can be run using the ZORA method or the Pauli Hamiltonian. The program authors recommend using the ZORA method. 

Buhl, M., 1997, Density Functional Calculations of Transition Metal NMR Chemical Shifts Dramatic Effects of Hartree-Fock Exchange , Chem. Phys. Lett., 267, 251. 

Harrison, J.G. (1983) Density functional calculations for atoms in the first transition series, J. Chem. Phys., 79,2265-2269. 

Baik and Friesner used an SCRF procedure in conjunction with B3LYP density functional calculations to obtain electrode potentials for groups of aromatic molecules, metallocenes and transition metal complexes in four different solvents 132 the average absolute deviation was about 0.15 volts for a range of values of 3.82 volts. Saracino et al. computed pKa for a series of carboxylic acids with an average absolute deviation of 0.41 for pKa between 1.23 and 5.03.133... 

Density functional calculations, incorporating clusters with and without solvent coordination to lithium and/or copper, reveal that the 5 n2 transition state always features inversion and retention at the electrophilic and nucleophilic centres, respectively. This transition state (100) is such that the carbons of the three alkyl groups are in a different electronic and spatial environment thus, the formation of RR, rather than RR, is governed by the transition state (101) for the reductive elimination reaction of the Cu(II) intermediate. 

This controversy concerning the use of MP2 calculations for epoxidation reactions was rather short-lived since more efficient density functional calculations (DFT) came into general use and generally produced symmetrical spiro transition structures. Consequently, the use of MP2 theory for 0—0 bond cleavage reactions has been largely discontinued. Most have assumed that the question of symmetrical versus asymmetrical approach of the peracid had been resolved. Recall that this same problem with MP2 calculations existed for the early calculations for dioxirane epoxidation (see Section V.D). 

Ab initio and density functional calculations have been carried out on the mechanism of the 1,5-electrocyclization reactions of conjugated nitrile ylides (190). The results indicate that vinyl-conjugated systems (306) (X = CH2) cyclize via the classical electrocyclization pathway—a pericyclic, monorotatary process with a relatively early transition state in which there is substantial torsion of the vinyl group as well as pyramidalization at C(5). In contrast, systems with a heteroatom at the cyclization site 306 (X=NH, O) react via a pseudo-pericyclic process that is characterized by the in-plane attack of the lone pair of the heteroatom on the nitrile ylide. Such reactions have a lower activation energy. 

Density-Functional Theory. Transition metals pose a problem for classical quantum chemical methods like self-consistent field (SCF), perturbation theory, configuration interaction (Cl), and variations on these methods, because of the very large electron correlation. SCF underestimates binding substantially, and post-SCF methods are so expensive for transition metals that one can do a calculation only on models with few atoms. DFT on the other hand is relatively cheap it is about as expensive as SCF. Moreover, with the development of the generalized-gradient approximations it is also reasonably accurate. A large majority of quantum chemical... 

Ab initio and density functional calculations of the thermal syn elimination transition states for E reaction of organic amine oxide, sulfoxide, and phosphoxide have confirmed the expected planar geometry and known order of reactivity.71... 

A review of recent research, as well as new results, are presented on transition metal oxide clusters, surfaces, and crystals. Quantum-chemical calculations of clusters of first row transition metal oxides have been made to evaluate the accuracy of ab initio and density functional calculations. Adsorbates on metal oxide surfaces have been studied with both ab initio and semi-empirical methods, and results are presented for the bonding and electronic interactions of large organic adsorbates, e.g. aromatic molecules, on Ti02 and ZnO. Defects and intercalation, notably of H, Li, and Na in TiC>2 have been investigated theoretically. Comparisons with experiments are made throughout to validate the calculations. Finally, the role of quantum-chemical calculations in the study of metal oxide based photoelectrochemical devices, such as dye-sensitized solar cells and electrochromic displays, is discussed. 

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