201
|
de Jong GT, Bickelhaupt FM. Oxidative Addition of the Chloromethane C−Cl Bond to Pd, an ab Initio Benchmark and DFT Validation Study. J Chem Theory Comput 2006; 2:322-35. [DOI: 10.1021/ct050254g] [Citation(s) in RCA: 78] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- G. Theodoor de Jong
- Afdeling Theoretische Chemie, Scheikundig Laboratorium der Vrije Universiteit, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
| | - F. Matthias Bickelhaupt
- Afdeling Theoretische Chemie, Scheikundig Laboratorium der Vrije Universiteit, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
| |
Collapse
|
202
|
Abstract
The A [(2)B1] <--X [(2)A2] band system between 380 and 420 nm was observed in a supersonic jet expansion. The allyl radical was found to dissociate following electronic excitation, releasing a hydrogen atom. Monitoring the appearance of the hydrogen atom photoproduct as a function of the excitation laser wavelength, similar spectral features are observed as in earlier absorption experiments. Time- and frequency-resolved photoionization of the hydrogen atom product provides information on the unimolecular dissociation dynamics. The measured dissociation rates and kinetic energy releases of both allyl radical, C3H5, and partially deuterated allyl radical, C3DH4, suggest direct loss of the central hydrogen atom, leading to allene as the major product.
Collapse
Affiliation(s)
- Luca Castiglioni
- Laboratory of Organic Chemistry, ETH Zurich, 8093 Zurich, Switzerland
| | | | | |
Collapse
|
203
|
Liao MS, Watts JD, Huang MJ. Assessment of the performance of density-functional methods for calculations on iron porphyrins and related compounds. J Comput Chem 2006; 27:1577-92. [PMID: 16868988 DOI: 10.1002/jcc.20458] [Citation(s) in RCA: 71] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
The behaviors of a large number of GGA, meta-GGA, and hybrid-GGA density functionals in describing the spin-state energetics of iron porphyrins and related compounds have been investigated. There is a large variation in performance between the various functionals for the calculations of the high-spin state relative energies. Most GGA and meta-GGA functionals are biased toward lower-spin states and so fail to give the correct ground state for the high-spin systems, for which the meta-GGA functionals show more or less improvement over the GGA ones. The GGA functionals that use the OPTX correction for exchange show remarkably high performance for calculating the high-spin state energetics, but their results for the intermediate-spin states are somewhat questionable. A heavily parameterized GGA functional, HCTH/407, provides results which are in qualitative agreement with the experimental findings for the iron porphyrins [FeP, FeP(Cl), FeP(THF)2], but its relative energies for the high-spin states are probably somewhat too low. The high-spin state relative energies are then even more underestimated by the corresponding meta-GGA functional tau-HCTH. For the hybrid-GGA functionals, the Hartree-Fock (HF)-type (or exact) exchange contribution strongly stabilizes the high-spin states, and so the performance of such functionals is largely dependent upon the amount of the HF exchange admixture in them. The B3LYP, B97, B97-1, and tau-HCTH-hyb functionals are able to provide a satisfactory description of the energetics of all the systems considered.
Collapse
Affiliation(s)
- Meng-Sheng Liao
- Department of Chemistry, P O Box 17910, Jackson State University, Jackson, Mississippi 39217, USA
| | | | | |
Collapse
|
204
|
Grimme S. Semiempirical GGA-type density functional constructed with a long-range dispersion correction. J Comput Chem 2006; 27:1787-99. [PMID: 16955487 DOI: 10.1002/jcc.20495] [Citation(s) in RCA: 13527] [Impact Index Per Article: 751.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
A new density functional (DF) of the generalized gradient approximation (GGA) type for general chemistry applications termed B97-D is proposed. It is based on Becke's power-series ansatz from 1997 and is explicitly parameterized by including damped atom-pairwise dispersion corrections of the form C(6) x R(-6). A general computational scheme for the parameters used in this correction has been established and parameters for elements up to xenon and a scaling factor for the dispersion part for several common density functionals (BLYP, PBE, TPSS, B3LYP) are reported. The new functional is tested in comparison with other GGAs and the B3LYP hybrid functional on standard thermochemical benchmark sets, for 40 noncovalently bound complexes, including large stacked aromatic molecules and group II element clusters, and for the computation of molecular geometries. Further cross-validation tests were performed for organometallic reactions and other difficult problems for standard functionals. In summary, it is found that B97-D belongs to one of the most accurate general purpose GGAs, reaching, for example for the G97/2 set of heat of formations, a mean absolute deviation of only 3.8 kcal mol(-1). The performance for noncovalently bound systems including many pure van der Waals complexes is exceptionally good, reaching on the average CCSD(T) accuracy. The basic strategy in the development to restrict the density functional description to shorter electron correlation lengths scales and to describe situations with medium to large interatomic distances by damped C(6) x R(-6) terms seems to be very successful, as demonstrated for some notoriously difficult reactions. As an example, for the isomerization of larger branched to linear alkanes, B97-D is the only DF available that yields the right sign for the energy difference. From a practical point of view, the new functional seems to be quite robust and it is thus suggested as an efficient and accurate quantum chemical method for large systems where dispersion forces are of general importance.
Collapse
Affiliation(s)
- Stefan Grimme
- Theoretische Organische Chemie, Organisch-Chemisches Institut der Universität Münster, Corrensstrasse 40, D-48149 Münster, Germany.
| |
Collapse
|
205
|
Mortensen JJ, Kaasbjerg K, Frederiksen SL, Nørskov JK, Sethna JP, Jacobsen KW. Bayesian error estimation in density-functional theory. PHYSICAL REVIEW LETTERS 2005; 95:216401. [PMID: 16384163 DOI: 10.1103/physrevlett.95.216401] [Citation(s) in RCA: 96] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2005] [Indexed: 05/05/2023]
Abstract
We present a practical scheme for performing error estimates for density-functional theory calculations. The approach, which is based on ideas from Bayesian statistics, involves creating an ensemble of exchange-correlation functionals by comparing with an experimental database of binding energies for molecules and solids. Fluctuations within the ensemble can then be used to estimate errors relative to experiment on calculated quantities such as binding energies, bond lengths, and vibrational frequencies. It is demonstrated that the error bars on energy differences may vary by orders of magnitude for different systems in good agreement with existing experience.
Collapse
Affiliation(s)
- J J Mortensen
- CAMP and Department of Physics, Technical University of Denmark, DK-2800 Lyngby, Denmark
| | | | | | | | | | | |
Collapse
|
206
|
Zimmermann T, Zeizinger M, Burda JV. Cisplatin interaction with cysteine and methionine, a theoretical DFT study. J Inorg Biochem 2005; 99:2184-96. [PMID: 16183131 DOI: 10.1016/j.jinorgbio.2005.07.021] [Citation(s) in RCA: 70] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2005] [Revised: 07/29/2005] [Accepted: 07/30/2005] [Indexed: 10/25/2022]
Abstract
Interactions of hydrated cisplatin complexes with sulphur-containing amino acids cysteine and methionine were explored. The square-planar cis-[Pt(NH3)2(H2O)X]+ complexes (where X=Cl- and OH-) were chosen as mono- and dihydrated reactants. Calculations using density functional theory (DFT) techniques with B3LYP functional were performed. The isolated molecules and the supermolecular approaches were employed for the determination of the reaction energies. Bond dissociation energies (BDE) were estimated in the model of isolated molecules and supermolecules were used for the determination of the association energies between the two interacting parts. Formation of monodentate complexes by replacing the aqua-ligand with the S, N, and O-sites of both amino acids represents an exothermic process. The highest BDE was found in cysteine structures for the Pt-S coordination. The bonding energy is about 114 kcal/mol, which is comparable with cisplatin-guanine adducts. Analogous BDE for methionine complexes is smaller by about 40 kcal/mol. This correlates well with the known fact that cysteine forms irreversible cisplatin adducts while similar adducts in the methionine case are reversible. The formation of chelate structures is an exothermic reaction only for the hydroxo-form of reactants in the supermolecular approach where additional association interactions between the released water and chelate molecules sufficiently stabilize the final product.
Collapse
Affiliation(s)
- Tomás Zimmermann
- Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16 Prague 2, Czech Republic
| | | | | |
Collapse
|
207
|
Ruiz E, Alvarez S, Cano J, Polo V. About the calculation of exchange coupling constants using density-functional theory: The role of the self-interaction error. J Chem Phys 2005; 123:164110. [PMID: 16268684 DOI: 10.1063/1.2085171] [Citation(s) in RCA: 296] [Impact Index Per Article: 15.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The effect of the correction of the self-interaction error on the calculation of exchange coupling constants with methods based on density-functional theory has been tested in simple model systems. The inclusion of the self-interaction correction cancels the nondynamical correlation energy contributions simulated by the commonly used functionals. Hence, such correction should be important in the accurate determination of exchange coupling constants. We have also tested several recent functionals to calculate exchange coupling constants in transition-metal complexes, such as meta-GGA functionals or new formulations of hybrid functionals. The influence of the basis set and of the use of pseudopotentials on the calculated J values has also been evaluated for a Fe(III) dinuclear complex in which the paramagnetic centers bear several unpaired electrons.
Collapse
Affiliation(s)
- Eliseo Ruiz
- Departament de Química Inorgànica and Centre Especial de Recerca en Química Teòrica (CeRQT), Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain.
| | | | | | | |
Collapse
|
208
|
de Jong GT, Bickelhaupt FM. Oxidative Addition of the Fluoromethane C−F Bond to Pd. An ab Initio Benchmark and DFT Validation Study. J Phys Chem A 2005; 109:9685-99. [PMID: 16866421 DOI: 10.1021/jp053587i] [Citation(s) in RCA: 57] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We have computed a state-of-the-art benchmark potential energy surface (PES) for two reaction pathways (oxidative insertion, OxIn, and S(N)2) for oxidative addition of the fluoromethane C-F bond to the palladium atom and have used this to evaluate the performance of 26 popular density functionals, covering LDA, GGA, meta-GGA, and hybrid density functionals, for describing these reactions. The ab initio benchmark is obtained by exploring the PES using a hierarchical series of ab initio methods (HF, MP2, CCSD, CCSD(T)) in combination with a hierarchical series of seven Gaussian-type basis sets, up to g polarization. Relativistic effects are taken into account through a full four-component all-electron approach. Our best estimate of kinetic and thermodynamic parameters is -5.3 (-6.1) kcal/mol for the formation of the reactant complex, 27.8 (25.4) kcal/mol for the activation energy for oxidative insertion (OxIn) relative to the separate reactants, 37.5 (31.8) kcal/mol for the activation energy for the alternative S(N)2 pathway, and -6.4 (-7.8) kcal/mol for the reaction energy (zero-point vibrational energy-corrected values in parentheses). Our work highlights the importance of sufficient higher angular momentum polarization functions for correctly describing metal-d-electron correlation. Best overall agreement with our ab initio benchmark is obtained by functionals from all three categories, GGA, meta-GGA, and hybrid DFT, with mean absolute errors of 1.4-2.7 kcal/mol and errors in activation energies ranging from 0.3 to 2.8 kcal/mol. The B3LYP functional compares very well with a slight underestimation of the overall barrier for OxIn by -0.9 kcal/mol. For comparison, the well-known BLYP functional underestimates the overall barrier by -10.1 kcal/mol. The relative performance of these two functionals is inverted with respect to previous findings for the insertion of Pd into the C-H and C-C bonds. However, all major functionals yield correct trends and qualitative features of the PES, in particular, a clear preference for the OxIn over the alternative S(N)2 pathway.
Collapse
Affiliation(s)
- G Theodoor de Jong
- Afdeling Theoretische Chemie, Scheikundig Laboratorium der Vrije Universiteit, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
| | | |
Collapse
|
209
|
Kuo JL, Klein ML, Kuhs WF. The effect of proton disorder on the structure of ice-Ih: A theoretical study. J Chem Phys 2005; 123:134505. [PMID: 16223312 DOI: 10.1063/1.2036971] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A precise and accurate measurement of the crystal structure of ice-Ih is hindered by its disordered H-bond network. In this work, we carried out first-principle calculations to study the effects of H-bond topology on the structure of ice-Ih with emphasis on the molecular geometry of water and the distortion in oxygen lattice. An analytic algorithm based on group and graph theory is employed to enumerate all possible configurations in a given unit cell and to select a set of structures for detailed examinations. In total we have studied more than 60 ice-Ih structures in a hexagonal unit cell of 48 water molecules by quantum-chemical methods and found a significant amount of static distortion in the oxygen positions from their crystallographic positions which is in good agreements with highly significant higher-order terms obtained from both x-ray and neutron-diffraction data. Much debated structural information such as H-O-H angle and O-H bond length is found to be 106.34+/-0.36 degrees and 0.9997+/-0.0008 A, compared to experimental value of 106.6+/-1.5 degrees and 0.986+/-0.005 A. Detailed benchmarking calculations were carried out to gauge the influence of using different exchange and correlation functionals, pseudopotentials, and unit-cell sizes. Our results have proven that first-principle methods are useful complementary tools to experiments, especially for cases in which experimental accuracy is limited by intrinsic orientational disorder.
Collapse
Affiliation(s)
- Jer-Lai Kuo
- School of Physical and Mathematical Sciences, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore.
| | | | | |
Collapse
|
210
|
De Jong GT, Geerke DP, Diefenbach A, Solà M, Bickelhaupt FM. Oxidative addition of the ethane CC bond to Pd. Anab initiobenchmark and DFT validation study. J Comput Chem 2005; 26:1006-20. [PMID: 15880815 DOI: 10.1002/jcc.20233] [Citation(s) in RCA: 65] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
We have computed a state-of-the-art benchmark potential energy surface (PES) for the archetypal oxidative addition of the ethane C-C bond to the palladium atom and have used this to evaluate the performance of 24 popular density functionals, covering LDA, GGA, meta-GGA, and hybrid density functionals, for describing this reaction. The ab initio benchmark is obtained by exploring the PES using a hierarchical series of ab initio methods [HF, MP2, CCSD, CCSD(T)] in combination with a hierarchical series of five Gaussian-type basis sets, up to g polarization. Relativistic effects are taken into account either through a relativistic effective core potential for palladium or through a full four-component all-electron approach. Our best estimate of kinetic and thermodynamic parameters is -10.8 (-11.3) kcal/mol for the formation of the reactant complex, 19.4 (17.1) kcal/mol for the activation energy relative to the separate reactants, and -4.5 (-6.8) kcal/mol for the reaction energy (zero-point vibrational energy-corrected values in parentheses). Our work highlights the importance of sufficient higher angular momentum polarization functions for correctly describing metal-d-electron correlation. Best overall agreement with our ab initio benchmark is obtained by functionals from all three categories, GGA, meta-GGA, and hybrid DFT, with mean absolute errors of 1.5 to 2.5 kcal/mol and errors in activation energies ranging from -0.2 to -3.2 kcal/mol. Interestingly, the well-known BLYP functional compares very reasonably with a slight underestimation of the overall barrier by -0.9 kcal/mol. For comparison, with B3LYP we arrive at an overestimation of the overall barrier by 5.8 kcal/mol. On the other hand, B3LYP performs excellently for the central barrier (i.e., relative to the reactant complex) which it underestimates by only -0.1 kcal/mol.
Collapse
Affiliation(s)
- G Theodoor De Jong
- Afdeling Theoretische Chemie, Scheikundig Laboratorium der Vrije Universiteit, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
| | | | | | | | | |
Collapse
|
211
|
Boero M, Tateno M, Terakura K, Oshiyama A. Double-Metal-Ion/Single-Metal-Ion Mechanisms of the Cleavage Reaction of Ribozymes: First-Principles Molecular Dynamics Simulations of a Fully Hydrated Model System. J Chem Theory Comput 2005; 1:925-34. [DOI: 10.1021/ct050066q] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Mauro Boero
- Institute of Physics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan, Center for Biological Resources and Informatics, Tokyo Institute of Technology, Nagatsuta 4259, Midori-ku, Yokohama 226-8501, Japan, Division of Frontier Research, Creative Research Initiative “Sousei”, Hokkaido University, Kita 21, Nishi 10, Kita-ku, Sapporo 001-0021, Japan, and Research Institute for Computational Sciences, National Institute of Advanced Industrial Science and Technology, 1-1-1 Umezono,
| | - Masaru Tateno
- Institute of Physics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan, Center for Biological Resources and Informatics, Tokyo Institute of Technology, Nagatsuta 4259, Midori-ku, Yokohama 226-8501, Japan, Division of Frontier Research, Creative Research Initiative “Sousei”, Hokkaido University, Kita 21, Nishi 10, Kita-ku, Sapporo 001-0021, Japan, and Research Institute for Computational Sciences, National Institute of Advanced Industrial Science and Technology, 1-1-1 Umezono,
| | - Kiyoyuki Terakura
- Institute of Physics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan, Center for Biological Resources and Informatics, Tokyo Institute of Technology, Nagatsuta 4259, Midori-ku, Yokohama 226-8501, Japan, Division of Frontier Research, Creative Research Initiative “Sousei”, Hokkaido University, Kita 21, Nishi 10, Kita-ku, Sapporo 001-0021, Japan, and Research Institute for Computational Sciences, National Institute of Advanced Industrial Science and Technology, 1-1-1 Umezono,
| | - Atsushi Oshiyama
- Institute of Physics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan, Center for Biological Resources and Informatics, Tokyo Institute of Technology, Nagatsuta 4259, Midori-ku, Yokohama 226-8501, Japan, Division of Frontier Research, Creative Research Initiative “Sousei”, Hokkaido University, Kita 21, Nishi 10, Kita-ku, Sapporo 001-0021, Japan, and Research Institute for Computational Sciences, National Institute of Advanced Industrial Science and Technology, 1-1-1 Umezono,
| |
Collapse
|
212
|
Misquitta AJ, Szalewicz K. Symmetry-adapted perturbation-theory calculations of intermolecular forces employing density-functional description of monomers. J Chem Phys 2005; 122:214109. [PMID: 15974730 DOI: 10.1063/1.1924593] [Citation(s) in RCA: 137] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Abstract
A symmetry-adapted perturbation theory based on Kohn-Sham determinants [SAPT(KS)] and utilizing asymptotically corrected exchange-correlation potentials has been applied to the He2, Ne2, (H2O)2, and (CO2)2 dimers. It is shown that SAPT(KS) is able to recover the electrostatic, first-order exchange, second-order induction, and exchange-induction energies with an accuracy approaching and occasionally surpassing that of regular SAPT at the currently programmed theory level. The use of the asymptotic corrections is critical to achieve this accuracy. The SAPT(KS) results can be obtained at a small fraction of the time needed for regular SAPT calculations. The robustness of the SAPT(KS) method with respect to the basis set size is also demonstrated. A theoretical justification for high accuracy of SAPT(KS) predictions for the electrostatic, first-order exchange, and second-order induction energies has been provided.
Collapse
Affiliation(s)
- Alston J Misquitta
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
| | | |
Collapse
|
213
|
de Jong GT, Geerke DP, Diefenbach A, Matthias Bickelhaupt F. DFT benchmark study for the oxidative addition of CH4 to Pd. Performance of various density functionals. Chem Phys 2005. [DOI: 10.1016/j.chemphys.2005.01.017] [Citation(s) in RCA: 74] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
|
214
|
Willeke * M. Translation–rotation coupling in the self–diffusion of fluids: molecular dynamic investigation and a generalized exponential approach. Mol Phys 2005. [DOI: 10.1080/00268970500038410] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
215
|
Sancho-García JC. Assessment of Recently Developed Multicoefficient Strategies for the Treatment of π-Conjugated Molecules. J Phys Chem A 2005; 109:3470-5. [PMID: 16833684 DOI: 10.1021/jp0445371] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Newly developed hybrid functionals (MPW1k and BB1k) have been systematically applied for the description of conjugation effects in organic molecules. These functionals are also used as part of the recently developed general-purpose multicoefficient methods MC3MPW and MC3BB. The performance of the various approaches is compared not only for relative energies but also through the calculation of torsion energy profiles for critical comparison with available reference data; thus, a numerical criterion depending on local behavior could be correspondingly defined. The results show that MC3-based methods are very accurate when faced to other approaches having comparable computational cost; thus, paving the way toward new applications and achievements in the field of conjugated materials.
Collapse
Affiliation(s)
- J C Sancho-García
- Departamento de Química-Física, Universidad de Alicante, E-03080 Alicante, Spain.
| |
Collapse
|
216
|
|
217
|
Scheibitz M, Bolte M, Bats JW, Lerner HW, Nowik I, Herber RH, Krapp A, Lein M, Holthausen MC, Wagner M. C5H4?BR2 Bending in Ferrocenylboranes: A Delocalized Through-Space Interaction Between Iron and Boron. Chemistry 2005; 11:584-603. [PMID: 15580647 DOI: 10.1002/chem.200400690] [Citation(s) in RCA: 118] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Abstract
A comparison of the molecular structures of mono-, di- and tetraborylated ferrocenes [Fc{B(R(1))(R(2))}] (R(1)/R(2)=Br/Br, Br/Fc, Br/Me, Me/Me, Me/OH, OMe/OMe), 1,1'-[fc{B(R(1))(R(2))}(2)] (R(1)/R(2)=Br/Br, Br/Me, OMe/OMe), and 1,1',3,3'-[Fe{C(5)H(3)(BMe(2))(2)}(2)] revealed the boryl substituent(s) to be bent out of the Cp ring plane towards the iron center. The corresponding dip angle alpha* decreases with decreasing Lewis acidity of the boron atom and with increasing degree of borylation at the ferrocene core. This trend is well reproduced by DFT calculations (including [FcBH(2)], not yet accessible experimentally). A Bader analysis of the electron density topology of [FcBH(2)] (alpha*=26.5 degrees ; BP86/TZVP) clearly showed that there is no direct iron-boron bonding in this compound. Instead, strongly delocalized orbital interactions have been identified that involve the boron p orbital, C(ipso) of the adjacent Cp ring, d orbitals at iron, and a through-space interaction with the second Cp ring. A second important factor is attractive electrostatic interactions, which are enhanced upon ligand bending. Cyclic voltammetric measurements on the series [FcBMe(2)], 1,1'-[fc(BMe(2))(2)], and 1,1',3,3'-[Fe{C(5)H(3)(BMe(2))(2)}(2)] indicate a substantial anodic shift in the oxidation potential of the central iron atom upon introduction of BMe(2) substituents. Addition of 4-dimethylaminopyridine (DMAP) does not just counterbalance this effect, but leads to a cathodic shift of the Fe(II)/Fe(III) redox transition far beyond the half-wave potential of parent ferrocene. In the Mossbauer spectra, a continuous decrease in the quadrupole splitting (QS) is observed upon going from parent ferrocene to [FcBMe(2)], to 1,1'-[fc(BMe(2))(2)], and to 1,1',3,3'-[Fe{C(5)H(3)(BMe(2))(2)}(2)]. In contrast, no significant differences are found between the QS values of ferrocene, [Fc(BMe(2)-DMAP)], and 1,1'-[fc(BMe(2)-DMAP)(2)].
Collapse
Affiliation(s)
- Matthias Scheibitz
- Institut für Anorganische Chemie, J.W. Goethe-Universität Frankfurt, Marie-Curie-Strasse 11, 60439 Frankfurt/Main, Germany
| | | | | | | | | | | | | | | | | | | |
Collapse
|
218
|
Lyssenko KA, Korlyukov AA, Antipin MY. The role of intermolecular H···H and C···H interactions in the ordering of [2.2]paracyclophane at 100 K: estimation of the sublimation energy from the experimental electron density function. MENDELEEV COMMUNICATIONS 2005. [DOI: 10.1070/mc2005v015n03abeh002090] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
|
219
|
VandeVondele J, Mohamed F, Krack M, Hutter J, Sprik M, Parrinello M. The influence of temperature and density functional models in ab initio molecular dynamics simulation of liquid water. J Chem Phys 2005; 122:14515. [PMID: 15638682 DOI: 10.1063/1.1828433] [Citation(s) in RCA: 357] [Impact Index Per Article: 18.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The performance of density functional theory methods for the modeling of condensed aqueous systems is hard to predict and validation by ab initio molecular simulation of liquid water is absolutely necessary. In order to assess the reliability of these tests, the effect of temperature on the structure and dynamics of liquid water has been characterized with 16 simulations of 20 ps in the temperature range of 280-380 K. We find a pronounced influence of temperature on the pair correlation functions and on the diffusion constant including nonergodic behavior on the time scale of the simulation in the lower temperature range (which includes ambient temperature). These observations were taken into account in a consistent comparison of a series of density functionals (BLYP, PBE, TPSS, OLYP, HCTH120, HCTH407). All simulations were carried out using an ab initio molecular dynamics approach in which wave functions are represented using Gaussians and the density is expanded in an auxiliary basis of plane waves. Whereas the first three functionals show similar behavior, it is found that the latter three functionals yield more diffusive dynamics and less structure.
Collapse
Affiliation(s)
- Joost VandeVondele
- Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | | | | | | | | | | |
Collapse
|
220
|
|
221
|
Infante I, Visscher L. The importance of spin-orbit coupling and electron correlation in the rationalization of the ground state of the CUO molecule. J Chem Phys 2004; 121:5783-8. [PMID: 15367003 DOI: 10.1063/1.1784778] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
We present calculations at the relativistic coupled cluster theory that predict the (1)Sigma(0) (+) ground state of CUO to lie 58.2 kJ/mol below the first excited state, (3)Phi(2). This can be contrasted with the outcome of earlier density functional theory and complete active space second order perturbation theory (CASPT2) calculations that both predicted a (3)Phi(2) ground state upon inclusion of spin-orbit coupling in the calculations. Our result gives further justification to the interpretation of the measured frequency shifts of this species in various noble gas matrices as being caused by significant interaction between the uranium and the heavier noble gas atoms.
Collapse
Affiliation(s)
- Ivan Infante
- Section Theoretical Chemistry, Faculty of Sciences, Vrije Universiteit Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | | |
Collapse
|
222
|
Boese AD, Martin JML. Development of density functionals for thermochemical kinetics. J Chem Phys 2004; 121:3405-16. [PMID: 15303903 DOI: 10.1063/1.1774975] [Citation(s) in RCA: 1125] [Impact Index Per Article: 56.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A density functional theory exchange-correlation functional for the exploration of reaction mechanisms is proposed. This functional, denoted BMK (Boese-Martin for Kinetics), has an accuracy in the 2 kcal/mol range for transition state barriers but, unlike previous attempts at such a functional, this improved accuracy does not come at the expense of equilibrium properties. This makes it a general-purpose functional whose domain of applicability has been extended to transition states, rather than a specialized functional for kinetics. The improvement in BMK rests on the inclusion of the kinetic energy density together with a large value of the exact exchange mixing coefficient. For this functional, the kinetic energy density appears to correct "back" the excess exact exchange mixing for ground-state properties, possibly simulating variable exchange.
Collapse
Affiliation(s)
- A Daniel Boese
- Department of Organic Chemistry, Weizmann Institute of Science, IL-76100 Rehovot, Israel.
| | | |
Collapse
|
223
|
Andersson S, Grüning M. Performance of Density Functionals for Calculating Barrier Heights of Chemical Reactions Relevant to Astrophysics. J Phys Chem A 2004. [DOI: 10.1021/jp040448c] [Citation(s) in RCA: 77] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Stefan Andersson
- Leiden Observatory, P.O. Box 9513, 2300 RA Leiden, The Netherlands, Theoretical Chemistry, Leiden Institute of Chemistry, Leiden University, P.O. Box 9502, 2300 RA Leiden, The Netherlands, and Section Theoretical Chemistry, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Myrta Grüning
- Leiden Observatory, P.O. Box 9513, 2300 RA Leiden, The Netherlands, Theoretical Chemistry, Leiden Institute of Chemistry, Leiden University, P.O. Box 9502, 2300 RA Leiden, The Netherlands, and Section Theoretical Chemistry, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| |
Collapse
|
224
|
Sancho-García JC, Cornil J. Assessment of recently developed exchange-correlation functionals for the description of torsion potentials in π-conjugated molecules. J Chem Phys 2004; 121:3096-101. [PMID: 15291619 DOI: 10.1063/1.1774976] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Newly developed exchange-correlation functionals in density functional theory (DFT) have been applied to describe conjugation effects in organic molecules. The performance of the various approaches is assessed through the calculation of torsion energy profiles and their critical comparison with available experimental data. Our results indicate that the OPTX-B95 exchange-correlation functional as well as its corresponding hybrid versions perform better than the well-established BLYP or B3LYP schemes when dealing with pi-conjugated molecules. In contrast, the recently introduced VSXC functional is not as reliable as other DFT methods for the systems examined here.
Collapse
Affiliation(s)
- Juan Carlos Sancho-García
- Laboratory for Chemistry of Novel Materials, Center for Research in Molecular Electronics and Photonics, University of Mons-Hainaut, Place du Parc 20, B-7000, Belgium.
| | | |
Collapse
|
225
|
|
226
|
Swart M, Groenhof AR, Ehlers AW, Lammertsma K. Validation of Exchange−Correlation Functionals for Spin States of Iron Complexes. J Phys Chem A 2004. [DOI: 10.1021/jp049043i] [Citation(s) in RCA: 354] [Impact Index Per Article: 17.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Marcel Swart
- Department of Chemistry, Faculty of Sciences, Vrije Universiteit Amsterdam, de Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - André R. Groenhof
- Department of Chemistry, Faculty of Sciences, Vrije Universiteit Amsterdam, de Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Andreas W. Ehlers
- Department of Chemistry, Faculty of Sciences, Vrije Universiteit Amsterdam, de Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Koop Lammertsma
- Department of Chemistry, Faculty of Sciences, Vrije Universiteit Amsterdam, de Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| |
Collapse
|
227
|
Cooke SA, Gerry MC, Chong DP. The calculation of field shift effects in the rotational spectra of heavy metal-containing diatomic molecules using density functional theory: comparison with experiment for the Tl-halides and Pb-chalcogenides. Chem Phys 2004. [DOI: 10.1016/j.chemphys.2003.11.027] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
|
228
|
|
229
|
Zimmerli U, Parrinello M, Koumoutsakos P. Dispersion corrections to density functionals for water aromatic interactions. J Chem Phys 2004; 120:2693-9. [PMID: 15268413 DOI: 10.1063/1.1637034] [Citation(s) in RCA: 263] [Impact Index Per Article: 13.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We investigate recently published methods for extending density functional theory to the description of long-range dispersive interactions. In all schemes an empirical correction consisting of a C6r(-6) term is introduced that is damped at short range. The coefficient C6 is calculated either from average molecular or atomic polarizabilities. We calculate geometry-dependent interaction energy profiles for the water benzene cluster and compare the results with second-order Møller-Plesset calculations. Our results indicate that the use of the B3LYP functional in combination with an appropriate mixing rule and damping function is recommended for the interaction of water with aromatics.
Collapse
Affiliation(s)
- Urs Zimmerli
- Institute of Computational Science, Department of Computer Science, Swiss Federal Institute of Technology, 8092 Zurich, Switzerland
| | | | | |
Collapse
|
230
|
DFT Computation of Relative Spin-State Energetics of Transition Metal Compounds. PRINCIPLES AND APPLICATIONS OF DENSITY FUNCTIONAL THEORY IN INORGANIC CHEMISTRY I 2004. [DOI: 10.1007/b97939] [Citation(s) in RCA: 212] [Impact Index Per Article: 10.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
|
231
|
Ikeda T, Hirata M, Kimura T. Ab initio molecular dynamics study of polarization effects on ionic hydration in aqueous AlCl3 solution. J Chem Phys 2003. [DOI: 10.1063/1.1627323] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
232
|
Pagliai M, Raugei S, Cardini G, Schettino V. Intramolecular solvation effects in the SN2 reaction Cl−+Cl(CH2)nCN. J Chem Phys 2003. [DOI: 10.1063/1.1613940] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
|
233
|
Boese AD, Chandra A, Martin JML, Marx D. From ab initio quantum chemistry to molecular dynamics: The delicate case of hydrogen bonding in ammonia. J Chem Phys 2003. [DOI: 10.1063/1.1599338] [Citation(s) in RCA: 147] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- A. Daniel Boese
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reh_ovot, Israel
| | - Amalendu Chandra
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44780 Bochum, Germany
| | - Jan M. L. Martin
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reh_ovot, Israel
| | - Dominik Marx
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44780 Bochum, Germany
| |
Collapse
|
234
|
Boese AD, Martin JML, Handy NC. The role of the basis set: Assessing density functional theory. J Chem Phys 2003. [DOI: 10.1063/1.1589004] [Citation(s) in RCA: 157] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
235
|
Mawhinney RC, Goddard JD. Assessment of density functional theory for the prediction of the nature of the oxirene stationary point. ACTA ACUST UNITED AC 2003. [DOI: 10.1016/s0166-1280(03)00198-2] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
|
236
|
|
237
|
Mugnai M, Cardini G, Schettino V. Substitution and Elimination Reaction of F- with C2H5Cl: An ab Initio Molecular Dynamics Study. J Phys Chem A 2003. [DOI: 10.1021/jp027194k] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
Affiliation(s)
- Martina Mugnai
- Dipartimento di Chimica and European Laboratory for Nonlinear Spectroscopy (LENS), Università di Firenze, Via della Lastruccia 3, 50019 Sesto Fiorentino (Firenze), Italy
| | - Gianni Cardini
- Dipartimento di Chimica and European Laboratory for Nonlinear Spectroscopy (LENS), Università di Firenze, Via della Lastruccia 3, 50019 Sesto Fiorentino (Firenze), Italy
| | - Vincenzo Schettino
- Dipartimento di Chimica and European Laboratory for Nonlinear Spectroscopy (LENS), Università di Firenze, Via della Lastruccia 3, 50019 Sesto Fiorentino (Firenze), Italy
| |
Collapse
|
238
|
Mas EM, Bukowski R, Szalewicz K. Ab initio three-body interactions for water. II. Effects on structure and energetics of liquid. J Chem Phys 2003. [DOI: 10.1063/1.1542872] [Citation(s) in RCA: 61] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
239
|
Doltsinis NL, Sprik M. Theoretical pKaestimates for solvated P(OH)5from coordination constrained Car–Parrinello molecular dynamics. Phys Chem Chem Phys 2003. [DOI: 10.1039/b301994b] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
240
|
Mugnai M, Cardini G, Schettino V. An ab initio molecular dynamics study of the S[sub N]2 reaction F[sup −]+CH[sub 3]Cl→CH[sub 3]F+Cl[sup −]. J Chem Phys 2003. [DOI: 10.1063/1.1535212] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
|
241
|
Ivanov I, Klein ML. Deprotonation of a histidine residue in aqueous solution using constrained ab initio molecular dynamics. J Am Chem Soc 2002; 124:13380-1. [PMID: 12418879 DOI: 10.1021/ja027972m] [Citation(s) in RCA: 65] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The dissociation of a weak acid - a histidine residue - in water was investigated by means of constrained Car-Parrinello ab initio molecular dynamics. Both linear and coordination constraints were employed, and the structural, electronic, and dynamical transformations along the respective reaction coordinates were analyzed. The calculated potentials of mean force for the dissociation of a hydrogen atom from the Nepsilon and Ndelta positions of the imidazole ring reveal that protonated forms are approximately 9.0-9.5 kcal/mol more stable than the deprotonated. This result seems to agree well with the experimental estimate based on pKa. A possible transition state for the deprotonation has also been identified. Analysis of the electron localization function indicates that the proton transfer along the selected reaction path is not a fully concerted process.
Collapse
Affiliation(s)
- Ivaylo Ivanov
- Center for Molecular Modeling and Department of Chemistry, University of Pennsylvania, 231 South 34th Street, Philadelphia 19104-6323, USA.
| | | |
Collapse
|
242
|
Romero AH, Sebastiani D, Ramı́rez R, Kiwi M. Is NMR the tool to characterize the structure of C20 isomers? Chem Phys Lett 2002. [DOI: 10.1016/s0009-2614(02)01555-5] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
|
243
|
Guillot B. A reappraisal of what we have learnt during three decades of computer simulations on water. J Mol Liq 2002. [DOI: 10.1016/s0167-7322(02)00094-6] [Citation(s) in RCA: 757] [Impact Index Per Article: 34.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
244
|
Density functional theory calculation of hyperfine coupling constants of small radicals using Becke97-type exchange-correlation functionals. ACTA ACUST UNITED AC 2002. [DOI: 10.1016/s0166-1280(02)00399-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
|
245
|
Pagliai M, Raugei S, Cardini G, Schettino V. Thermal effects on the Cl−+ClCH2CN reaction by Car-Parrinello molecular dynamics. J Chem Phys 2002. [DOI: 10.1063/1.1489904] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
|
246
|
Boero M, Terakura K, Tateno M. Catalytic role of metal ion in the selection of competing reaction paths: a first principles molecular dynamics study of the enzymatic reaction in ribozyme. J Am Chem Soc 2002; 124:8949-57. [PMID: 12137550 DOI: 10.1021/ja017843q] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
By using finite temperature first principles molecular dynamics, the mechanism of the enzymatic reaction of ribozyme was investigated for both the anionic and the radical charge states of the modeled RNA fragment. In the case of the anionic system, a pseudorotation and the subsequent 3' --> 2' migration occur in a vacuum, rather than the self-cleavage of the phosphodiester. On the other hand, when either a divalent metal ion (Mg(2+)) catalyst or the continuous hydrogen bond network of the solvent is present, the reaction path of the anionic species changes dramatically, going toward the transesterification channel. In a radical system, the transesterification can occur without a metal catalyst, as a consequence of the displacement of a hole (empty electronic state) along the reaction path. Thus, the present analysis suggests that a metal ion might be essential not only in lowering the activation barrier but also in selecting the reaction path among those corresponding to possible different charge states of the intermediate structure in vivo. Furthermore, simulation of the anionic species in solution shows that, in the absence of a metal catalyst, water molecules cooperate with the proton transfer via a proton wire mechanism and the hydrogen bond network plays a crucial role in preventing pseudorotations. On the other hand, when a metal cation is present in the vicinity of the site where the nucleophilic attack occurs, the hydrogen bond network is interrupted and detachment of the proton, enhanced by the catalyst, does not give rise to any proton-transfer process.
Collapse
Affiliation(s)
- Mauro Boero
- Angstrom Technology Partnership, Joint Research Center for Atom Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-0046, Japan.
| | | | | |
Collapse
|
247
|
Boese AD, Handy NC. New exchange-correlation density functionals: The role of the kinetic-energy density. J Chem Phys 2002. [DOI: 10.1063/1.1476309] [Citation(s) in RCA: 400] [Impact Index Per Article: 18.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
248
|
|
249
|
Fattebert JL, Gygi F. Density functional theory for efficient ab initio molecular dynamics simulations in solution. J Comput Chem 2002; 23:662-6. [PMID: 11939598 DOI: 10.1002/jcc.10069] [Citation(s) in RCA: 105] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Abstract
We present a density functional for first-principles molecular dynamics simulations that includes the electrostatic effects of a continuous dielectric medium. It allows for numerical simulations of molecules in solution in a model polar solvent. We propose a smooth dielectric model function to model solvation into water and demonstrate its good numerical properties for total energy calculations and constant energy molecular dynamics.
Collapse
Affiliation(s)
- Jean-Luc Fattebert
- Center for Applied Scientific Computing (CASC), Lawrence Livermore National Laboratory, California 94551, USA.
| | | |
Collapse
|
250
|
Adamo C, Barone V. Physically motivated density functionals with improved performances: The modified Perdew–Burke–Ernzerhof model. J Chem Phys 2002. [DOI: 10.1063/1.1458927] [Citation(s) in RCA: 122] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|