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Sloth M, Jørgensen S, Bilde M, Mikkelsen KV. Investigation of Particle−Molecule Interactions by Use of a Dielectric Continuum Model. J Phys Chem A 2003. [DOI: 10.1021/jp030545q] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Marianne Sloth
- Department of Chemistry, H. C. Ørsted Institute, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark, and The Fritz Haber Research Center of Molecular Dynamics, Hebrew University, Jerusalem 91904, Israel
| | - Solvejg Jørgensen
- Department of Chemistry, H. C. Ørsted Institute, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark, and The Fritz Haber Research Center of Molecular Dynamics, Hebrew University, Jerusalem 91904, Israel
| | - Merete Bilde
- Department of Chemistry, H. C. Ørsted Institute, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark, and The Fritz Haber Research Center of Molecular Dynamics, Hebrew University, Jerusalem 91904, Israel
| | - Kurt V. Mikkelsen
- Department of Chemistry, H. C. Ørsted Institute, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark, and The Fritz Haber Research Center of Molecular Dynamics, Hebrew University, Jerusalem 91904, Israel
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203
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Cadet J, Grand A, Morell C, Letelier JR, Moncada JL, Toro-Labbé A. Theoretical Study of the Internal Rotation of the Hydroxylic Group of the Enol Form of Guanine. J Phys Chem A 2003. [DOI: 10.1021/jp021976w] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | | | | | - Jorge R. Letelier
- Departamento de Quımica, FCFM, Universidad de Chile, Casilla 2777, Santiago, Chile
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204
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Chattaraj PK, Maiti B, Sarkar U. Chemical reactivity of the compressed noble gas atoms and their reactivity dynamics during collisions with protons. J CHEM SCI 2003. [DOI: 10.1007/bf02704259] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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205
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Affiliation(s)
- P. K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India
| | - U. Sarkar
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India
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206
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Affiliation(s)
- P Geerlings
- Eenheid Algemene Chemie, Faculteit Wetenschappen, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium.
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209
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Chattaraj PK, Maiti B. HSAB principle applied to the time evolution of chemical reactions. J Am Chem Soc 2003; 125:2705-10. [PMID: 12603158 DOI: 10.1021/ja0276063] [Citation(s) in RCA: 152] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Time evolution of various reactivity parameters such as electronegativity, hardness, and polarizability associated with a collision process between a proton and an X- atom/ion (X = He, Li(+), Be(2+), B(3+), C(4+)) in its ground ((1)S) and excited((1)P,(1)D,(1)F) electronic states as well as various complexions of a two-state ensemble is studied using time-dependent and excited-state density functional theory. This collision process may be considered to be a model mimicking the actual chemical reaction between an X-atom/ion and a proton to give rise to an XH(+) molecule. A favorable dynamical process is characterized by maximum hardness and minimum polarizability values according to the dynamical variants of the principles of maximum hardness and minimum polarizability. An electronic excitation or an increase in the excited-state contribution in a two-state ensemble makes the system softer and more polarizable, and the proton, being a hard acid, gradually prefers less to interact with X as has been discerned through the drop in maximum hardness value and the increase in the minimum polarizability value when the actual chemical process occurs. Among the noble gas elements, Xe is the most reactive. During the reaction: H(2) + H(+) --> H(3)(+) hardness maximizes and polarizability minimizes and H(2) is more reactive in its excited state. Regioselectivity of proton attack in the O-site of CO is clearly delineated wherein HOC(+) may eventually rearrange itself to go to the thermodynamically more stable HCO(+).
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210
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Torrent-Sucarrat M, Luis JM, Duran M, Solà M. Are the maximum hardness and minimum polarizability principles always obeyed in nontotally symmetric vibrations? J Chem Phys 2002. [DOI: 10.1063/1.1517990] [Citation(s) in RCA: 66] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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211
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Chandrakumar KRS, Pal S. A Systematic Study on the Reactivity of Lewis Acid−Base Complexes through the Local Hard−Soft Acid−Base Principle. J Phys Chem A 2002. [DOI: 10.1021/jp026062o] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- K. R. S. Chandrakumar
- Theoretical Chemistry Group, Physical Chemical Division, National Chemical Laboratory, Pune-411 008, India
| | - Sourav Pal
- Theoretical Chemistry Group, Physical Chemical Division, National Chemical Laboratory, Pune-411 008, India
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212
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Gómez B, Chattaraj PK, Chamorro E, Contreras R, Fuentealba P. A Density Functional Study of the Claisen Rearrangement of Allyl Aryl Ether, Allyl Arylamine, Allyl Aryl Thio Ether, and a Series of Meta-Substituted Molecules through Reactivity and Selectivity Profiles. J Phys Chem A 2002. [DOI: 10.1021/jp020437o] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Badhin Gómez
- Departamento de Química and2Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653-Santiago, Chile, Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, and Departamento de Química, Facultad de Ecología y Recursos Naturales, Universidad Andrés Bello, Santiago, Chile
| | - Pratim K. Chattaraj
- Departamento de Química and2Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653-Santiago, Chile, Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, and Departamento de Química, Facultad de Ecología y Recursos Naturales, Universidad Andrés Bello, Santiago, Chile
| | - E. Chamorro
- Departamento de Química and2Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653-Santiago, Chile, Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, and Departamento de Química, Facultad de Ecología y Recursos Naturales, Universidad Andrés Bello, Santiago, Chile
| | - R. Contreras
- Departamento de Química and2Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653-Santiago, Chile, Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, and Departamento de Química, Facultad de Ecología y Recursos Naturales, Universidad Andrés Bello, Santiago, Chile
| | - P. Fuentealba
- Departamento de Química and2Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653-Santiago, Chile, Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, and Departamento de Química, Facultad de Ecología y Recursos Naturales, Universidad Andrés Bello, Santiago, Chile
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213
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Aizman A, Contreras R, Galván M, Cedillo A, Santos JC, Chamorro E. The Markovnikov Regioselectivity Rule in the Light of Site Activation Models. J Phys Chem A 2002. [DOI: 10.1021/jp020214y] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- A. Aizman
- Departamento de Química, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile, Departamento de Química, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, A. P. 55-534, México, D. F. 09340, México, Departamento de Química, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
| | - R. Contreras
- Departamento de Química, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile, Departamento de Química, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, A. P. 55-534, México, D. F. 09340, México, Departamento de Química, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
| | - M. Galván
- Departamento de Química, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile, Departamento de Química, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, A. P. 55-534, México, D. F. 09340, México, Departamento de Química, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
| | - A. Cedillo
- Departamento de Química, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile, Departamento de Química, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, A. P. 55-534, México, D. F. 09340, México, Departamento de Química, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
| | - J. C. Santos
- Departamento de Química, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile, Departamento de Química, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, A. P. 55-534, México, D. F. 09340, México, Departamento de Química, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
| | - E. Chamorro
- Departamento de Química, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile, Departamento de Química, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, A. P. 55-534, México, D. F. 09340, México, Departamento de Química, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
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214
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Chemical Reactivity Dynamics and Quantum Chaos in Highly Excited Hydrogen Atoms in an External Field: A Quantum Potential Approach. Int J Mol Sci 2002. [DOI: 10.3390/i3040338] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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215
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Ghanty TK, Ghosh SK. Hardness and Polarizability Profiles for Intramolecular Proton Transfer in Water Dimer Radical Cation. J Phys Chem A 2002. [DOI: 10.1021/jp014215m] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Tapan K. Ghanty
- Theoretical Chemistry Section, RC & CD Division, Chemistry Group, Bhabha Atomic Research Centre, Bombay 400 085, India
| | - Swapan K. Ghosh
- Theoretical Chemistry Section, RC & CD Division, Chemistry Group, Bhabha Atomic Research Centre, Bombay 400 085, India
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216
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Chamorro E, Toro-Labbe A, Fuentealba P. Theoretical Study of Intramolecular Proton Transfer Reactions in Some Thiooxalic Acid Derivatives. J Phys Chem A 2002. [DOI: 10.1021/jp0143185] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Eduardo Chamorro
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Química-Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
| | - Alejandro Toro-Labbe
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Química-Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
| | - Patricio Fuentealba
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Química-Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
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217
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Theoretical study of the trans-N2H2→cis-N2H2 and F2S2→FSSF reactions in gas and solution phases. ACTA ACUST UNITED AC 2002. [DOI: 10.1016/s0166-1280(01)00611-x] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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218
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Theoretical Calculation of Absolute Radii of Atoms and Ions. Part 1. The Atomic Radii. Int J Mol Sci 2002. [DOI: 10.3390/i3020087] [Citation(s) in RCA: 68] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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219
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Millefiori S, Alparone A. Ab Initio Study of the Structure and Polarizability of Sulfur Clusters, Sn (n = 2−12). J Phys Chem A 2001. [DOI: 10.1021/jp0121466] [Citation(s) in RCA: 52] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- S. Millefiori
- Dipartimento di Scienze Chimiche, Università di Catania, Viale A. Doria 8, 95125 Catania, Italy
| | - A. Alparone
- Dipartimento di Scienze Chimiche, Università di Catania, Viale A. Doria 8, 95125 Catania, Italy
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220
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Torrent-Sucarrat M, Luis JM, Duran M, Solà M. On the validity of the maximum hardness and minimum polarizability principles for nontotally symmetric vibrations. J Am Chem Soc 2001; 123:7951-2. [PMID: 11493087 DOI: 10.1021/ja015737i] [Citation(s) in RCA: 98] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- M Torrent-Sucarrat
- Institut de Química Computacional Universitat de Girona, E-17071 Girona Catalonia, Spain
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221
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Pérez P. Theoretical Study of the Effect of the Substituents on the Gas Phase Acidity of Alcohols and Silanols. J Phys Chem A 2001. [DOI: 10.1021/jp004431f] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Patricia Pérez
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
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222
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Chattaraj PK, Pérez P, Zevallos J, Toro-Labbé A. Ab Initio SCF and DFT Studies on Solvent Effects on Intramolecular Rearrangement Reactions. J Phys Chem A 2001. [DOI: 10.1021/jp0021345] [Citation(s) in RCA: 65] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Pratim K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Patricia Pérez
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Jenny Zevallos
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Alejandro Toro-Labbé
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
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223
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Ayers PW, Parr RG. Variational principles for describing chemical reactions. Reactivity indices based on the external potential. J Am Chem Soc 2001; 123:2007-17. [PMID: 11456823 DOI: 10.1021/ja002966g] [Citation(s) in RCA: 153] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
In a recent paper [J. Am. Chem. Soc. 2000, 122, 2010], the authors explored variational principles that help one understand chemical reactivity on the basis of the changes in electron density associated with a chemical reaction. Here, similar methods are used to explore the effect changing the external potential has on chemical reactivity. Four new indices are defined: (1) a potential energy surface that results from the second-order truncation of the Taylor series in the external potential about some reference, Upsilon(R(1),R(2),.,R(M)()); (2) the stabilization energy for the equilibrium nuclear geometry (relative to some reference), Xi; (3) the flexibility, or "lability", of the molecule at equilibrium, Lambda; and (4) the proton hardness, Pi, which performs a role in the theory of Brönsted-Lowry acids and bases that is similar to the role of the chemical hardness in the theory of Lewis acids and bases. Applications considered include the orientation of a molecule in an external electric field, molecular association reactions, and reactions between Brönsted-Lowry acids and bases.
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Affiliation(s)
- P W Ayers
- Department of Chemistry, The University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA
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224
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Chamorro E, Santos JC, Gómez B, Contreras R, Fuentealba P. Topological analysis of the electron localization function applied to the study of the [1,3] sigmatropic shift of fluorine in 3-fluorpropene. J Chem Phys 2001. [DOI: 10.1063/1.1328397] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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225
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Chattaraj PK. Chemical Reactivity and Selectivity: Local HSAB Principle versus Frontier Orbital Theory. J Phys Chem A 2000. [DOI: 10.1021/jp003786w] [Citation(s) in RCA: 178] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- P. K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
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226
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Chattaraj PK, Maiti B. Reactivity Dynamics in Atom−Field Interactions: A Quantum Fluid Density Functional Study. J Phys Chem A 2000. [DOI: 10.1021/jp0019660] [Citation(s) in RCA: 75] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- P. K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India
| | - B. Maiti
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India
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227
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Pérez P, Toro-Labbé A, Contreras R. A Semiquantitative Description of Electrostatics and Polarization Substituent Effects: Gas-Phase Acid−Base Equilibria as Test Cases. J Phys Chem A 2000. [DOI: 10.1021/jp0025734] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Patricia Pérez
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile, and Departamento de Química, Facultad de Ciencias, Casilla 653-Santiago, Chile
| | - Alejandro Toro-Labbé
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile, and Departamento de Química, Facultad de Ciencias, Casilla 653-Santiago, Chile
| | - Renato Contreras
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile, and Departamento de Química, Facultad de Ciencias, Casilla 653-Santiago, Chile
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228
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Gutiérrez-Oliva S, Jaque P, Toro-Labbé A. Using Sanderson's Principle to Estimate Global Electronic Properties and Bond Energies of Hydrogen-Bonded Complexes. J Phys Chem A 2000. [DOI: 10.1021/jp000777e] [Citation(s) in RCA: 48] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Soledad Gutiérrez-Oliva
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Pablo Jaque
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Alejandro Toro-Labbé
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
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229
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Affiliation(s)
- Uwe Hohm
- Institut für Physikalische und Theoretische Chemie der Technischen Universität Braunschweig, Hans-Sommer-Strasse 10, D-38106 Braunschweig, F.R.G
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230
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Hu XG, Ho TS, Rabitz H, Askar A. Solution of the quantum fluid dynamical equations with radial basis function interpolation. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000; 61:5967-76. [PMID: 11031661 DOI: 10.1103/physreve.61.5967] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/08/1999] [Indexed: 11/07/2022]
Abstract
The paper proposes a numerical technique within the Lagrangian description for propagating the quantum fluid dynamical (QFD) equations in terms of the Madelung field variables R and S, which are connected to the wave function via the transformation psi = exp(R + iS)/[symbol: see text]. The technique rests on the QFD equations depending only on the form, not the magnitude, of the probability density rho = magnitude of psi 2 and on the structure of R = [symbol: see text]/2 ln rho generally being simpler and smoother than rho. The spatially smooth functions R and S are especially suitable for multivariate radial basis function interpolation to enable the implementation of a robust numerical scheme. Examples of two-dimensional model systems show that the method rivals, in both efficiency and accuracy, the split-operator and Chebychev expansion methods. The results on a three-dimensional model system indicates that the present method is superior to the existing ones, especially, for its low storage requirement and its uniform accuracy. The advantage of the new algorithm is expected to increase for higher dimensional systems to provide a practical computational tool.
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Affiliation(s)
- XG Hu
- Department of Chemistry, Princeton University, New Jersey 08544-1009, USA
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231
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Chattaraj P, Sengupta S, Poddar A. Quantum fluid density functional theory of chemical reactivity in a two-state ensemble. ACTA ACUST UNITED AC 2000. [DOI: 10.1016/s0166-1280(99)00444-3] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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232
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Fuentealba P, Simón-Manso Y, Chattaraj PK. Molecular Electronic Excitations and the Minimum Polarizability Principle. J Phys Chem A 2000. [DOI: 10.1021/jp992973v] [Citation(s) in RCA: 86] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- P. Fuentealba
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago de Chile, Chile, Departamento de Química, Pontificia Universidad Católica de Chile, Casilla 306, Santiago, Chile, and Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
| | - Y. Simón-Manso
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago de Chile, Chile, Departamento de Química, Pontificia Universidad Católica de Chile, Casilla 306, Santiago, Chile, and Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
| | - Pratim K. Chattaraj
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago de Chile, Chile, Departamento de Química, Pontificia Universidad Católica de Chile, Casilla 306, Santiago, Chile, and Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
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233
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Ghanty TK, Ghosh SK. Molecular Hardness, Polarizability and Valency Variation of Formamide and Thioformamide on Internal Rotation: A Density Functional Study. J Phys Chem A 2000. [DOI: 10.1021/jp993830b] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Tapan K. Ghanty
- Theoretical Chemistry Section, RC & CD Division, Chemistry Group, Bhabha Atomic Research Centre, Mumbai 400 085, India
| | - Swapan K. Ghosh
- Theoretical Chemistry Section, RC & CD Division, Chemistry Group, Bhabha Atomic Research Centre, Mumbai 400 085, India
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234
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Jaque P, Toro-Labbé A. Theoretical Study of the Double Proton Transfer in the CHX−XH···CHX−XH (X = O, S) Complexes. J Phys Chem A 2000. [DOI: 10.1021/jp993016o] [Citation(s) in RCA: 109] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Pablo Jaque
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Alejandro Toro-Labbé
- Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
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235
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Chattaraj PK, Fuentealba P, Gómez B, Contreras R. Woodward−Hoffmann Rule in the Light of the Principles of Maximum Hardness and Minimum Polarizability: DFT and Ab Initio SCF Studies. J Am Chem Soc 2000. [DOI: 10.1021/ja992337a] [Citation(s) in RCA: 82] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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236
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Chattaraj PK, Fuentealba P, Jaque P, Toro-Labbé A. Validity of the Minimum Polarizability Principle in Molecular Vibrations and Internal Rotations: An ab Initio SCF Study. J Phys Chem A 1999. [DOI: 10.1021/jp9918656] [Citation(s) in RCA: 111] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Pratim K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Patricio Fuentealba
- Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Pablo Jaque
- Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
| | - Alejandro Toro-Labbé
- Department of Chemistry, Indian Institute of Technology, Kharagpur, 721 302, India, Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile, and Departamento de Química Física, Facultad de Química, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
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237
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Chattaraj PK, Poddar A. Molecular Reactivity in the Ground and Excited Electronic States through Density-Dependent Local and Global Reactivity Parameters. J Phys Chem A 1999. [DOI: 10.1021/jp991214+] [Citation(s) in RCA: 73] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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238
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Chelli R, Ciabatti S, Cardini G, Righini R, Procacci P. Calculation of optical spectra in liquid methanol using molecular dynamics and the chemical potential equalization method. J Chem Phys 1999. [DOI: 10.1063/1.479720] [Citation(s) in RCA: 63] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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239
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Chattaraj PK, Sengupta S. Chemical Hardness as a Possible Diagnostic of the Chaotic Dynamics of Rydberg Atoms in an External Field. J Phys Chem A 1999. [DOI: 10.1021/jp990242p] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- P. K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
| | - S. Sengupta
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
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240
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Fuentealba P, Reyes O. Density Functional Study of LinHm Clusters. Electric Dipole Polarizabilities. J Phys Chem A 1999. [DOI: 10.1021/jp983105l] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- P. Fuentealba
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago de Chile, Chile
| | - O. Reyes
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago de Chile, Chile
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241
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Chattaraj PK, Poddar A. Chemical Reactivity and Excited-State Density Functional Theory. J Phys Chem A 1999. [DOI: 10.1021/jp983821n] [Citation(s) in RCA: 53] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- P. K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur-721 302, India
| | - A. Poddar
- Department of Chemistry, Indian Institute of Technology, Kharagpur-721 302, India
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242
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Chattaraj PK, Poddar A. A Density Functional Treatment of Chemical Reactivity and the Associated Electronic Structure Principles in the Excited Electronic States. J Phys Chem A 1998. [DOI: 10.1021/jp982734s] [Citation(s) in RCA: 85] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- P. K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
| | - A. Poddar
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
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243
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Chattaraj PK, Sengupta S. Dynamics of Chemical Reactivity Indices for a Many-Electron System in Its Ground and Excited States. J Phys Chem A 1997. [DOI: 10.1021/jp971408u] [Citation(s) in RCA: 65] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- P. K. Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
| | - S. Sengupta
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
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244
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Affiliation(s)
- James L. Reed
- Department of Chemistry and The Sensors, Energetics, Aerosols and Systems Institute, Clark Atlanta University, Atlanta, Georgia 30314
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