1
|
|
2
|
Chakraborty D, Chattaraj PK. Conceptual density functional theory based electronic structure principles. Chem Sci 2021; 12:6264-6279. [PMID: 34084424 PMCID: PMC8115084 DOI: 10.1039/d0sc07017c] [Citation(s) in RCA: 61] [Impact Index Per Article: 20.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/24/2020] [Accepted: 03/10/2021] [Indexed: 12/20/2022] Open
Abstract
In this review article, we intend to highlight the basic electronic structure principles and various reactivity descriptors as defined within the premise of conceptual density functional theory (CDFT). Over the past several decades, CDFT has proven its worth in providing valuable insights into various static as well as time-dependent physicochemical problems. Herein, having briefly outlined the basics of CDFT, we describe various situations where CDFT based reactivity theory could be employed in order to gain insights into the underlying mechanism of several chemical processes.
Collapse
Affiliation(s)
- Debdutta Chakraborty
- Department of Chemistry, KU Leuven Celestijnenlaan 200F-2404 3001 Leuven Belgium
| | - Pratim Kumar Chattaraj
- Department of Chemistry, Indian Institute of Technology Kharagpur 721302 West Bengal India +91 3222 255303 +91 3222 283304
- Department of Chemistry, Indian Institute of Technology Bombay Powai Mumbai 400076 India
| |
Collapse
|
3
|
Niaz S, Pandith AH. Transition‐Metal‐Based Multidecker Complexes as Hydrogen Storage Materials: A Theoretical Study. ChemistrySelect 2019. [DOI: 10.1002/slct.201900372] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Saba Niaz
- Department of ChemistryUniversity of Kashmir Srinagar - 190006, J&K India
| | | |
Collapse
|
4
|
Chakraborty D, Chattaraj PK. Bonding, Reactivity, and Dynamics in Confined Systems. J Phys Chem A 2019; 123:4513-4531. [DOI: 10.1021/acs.jpca.9b00830] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Debdutta Chakraborty
- Department of Chemistry and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302, West Bengal, India
| | - Pratim Kumar Chattaraj
- Department of Chemistry and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302, West Bengal, India
- Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
| |
Collapse
|
5
|
Chakraborty D, Das R, Chattaraj PK. Does Confinement Always Lead to Thermodynamically and/or Kinetically Favorable Reactions? A Case Study using Diels-Alder Reactions within ExBox+4
and CB[7]. Chemphyschem 2017; 18:2162-2170. [PMID: 28557293 DOI: 10.1002/cphc.201700308] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2017] [Revised: 05/29/2017] [Indexed: 11/07/2022]
Affiliation(s)
- Debdutta Chakraborty
- Department of Chemistry and Centre for Theoretical Studies; Indian Institute of Technology; Kharagpur 721302 West Bengal India
| | - Ranjita Das
- Department of Chemistry and Centre for Theoretical Studies; Indian Institute of Technology; Kharagpur 721302 West Bengal India
| | - Pratim Kumar Chattaraj
- Department of Chemistry and Centre for Theoretical Studies; Indian Institute of Technology; Kharagpur 721302 West Bengal India
| |
Collapse
|
6
|
Statistical Significance of the Maximum Hardness Principle Applied to Some Selected Chemical Reactions. Molecules 2016; 21:molecules21111477. [PMID: 27827967 PMCID: PMC6273755 DOI: 10.3390/molecules21111477] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2016] [Revised: 10/24/2016] [Accepted: 11/01/2016] [Indexed: 11/24/2022] Open
Abstract
The validity of the maximum hardness principle (MHP) is tested in the cases of 50 chemical reactions, most of which are organic in nature and exhibit anomeric effect. To explore the effect of the level of theory on the validity of MHP in an exothermic reaction, B3LYP/6-311++G(2df,3pd) and LC-BLYP/6-311++G(2df,3pd) (def2-QZVP for iodine and mercury) levels are employed. Different approximations like the geometric mean of hardness and combined hardness are considered in case there are multiple reactants and/or products. It is observed that, based on the geometric mean of hardness, while 82% of the studied reactions obey the MHP at the B3LYP level, 84% of the reactions follow this rule at the LC-BLYP level. Most of the reactions possess the hardest species on the product side. A 50% null hypothesis is rejected at a 1% level of significance.
Collapse
|
7
|
Chakraborty D, Kar S, Chattaraj PK. Orbital free DFT versus single density equation: a perspective through quantum domain behavior of a classically chaotic system. Phys Chem Chem Phys 2015; 17:31516-29. [PMID: 26033095 DOI: 10.1039/c5cp00995b] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Regular to chaotic transition takes place in a driven van der Pol oscillator in both classical and quantum domains.
Collapse
Affiliation(s)
- Debdutta Chakraborty
- Department of Chemistry and Centre for Theoretical Studies
- Indian Institute of Technology
- West Bengal
- India
| | - Susmita Kar
- Department of Chemistry and Centre for Theoretical Studies
- Indian Institute of Technology
- West Bengal
- India
| | - Pratim Kumar Chattaraj
- Department of Chemistry and Centre for Theoretical Studies
- Indian Institute of Technology
- West Bengal
- India
| |
Collapse
|
8
|
Khatua M, Chattaraj PK. Molecular reactivity dynamics in a confined environment. Phys Chem Chem Phys 2013; 15:5588-614. [DOI: 10.1039/c3cp43511c] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
9
|
Affiliation(s)
- Pratim Kumar Chattaraj
- Department of Chemistry, Center for Theoretical Studies, Indian Institute of Technology, Kharagpur, India
| | | | | |
Collapse
|
10
|
|
11
|
Chakraborty A, Giri S, Chattaraj PK. Analyzing the efficiency of M n –(C2H4) (M = Sc, Ti, Fe, Ni; n = 1, 2) complexes as effective hydrogen storage materials. Struct Chem 2011. [DOI: 10.1007/s11224-011-9754-7] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
12
|
Deb D, Giri S, Chattaraj PK, Bhattacharjee M. Synthesis and Structure of a 3D Porous Network Containing Aromatic 1D Chains of Li6 Rings: Experimental and Computational Studies. J Phys Chem A 2010; 114:10871-7. [DOI: 10.1021/jp106028y] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dibakar Deb
- Department of Chemistry and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, India
| | - Santanab Giri
- Department of Chemistry and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, India
| | - Pratim K. Chattaraj
- Department of Chemistry and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, India
| | - Manish Bhattacharjee
- Department of Chemistry and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, India
| |
Collapse
|
13
|
Chattaraj PK, Giri S. Electrophilicity index within a conceptual DFT framework. ACTA ACUST UNITED AC 2009. [DOI: 10.1039/b802832j] [Citation(s) in RCA: 152] [Impact Index Per Article: 10.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
14
|
Affiliation(s)
- Pratim Kumar Chattaraj
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, IndiaThis is a Chemical Reviews Perennial Review. The root paper of this title was published in 2006 (Chattaraj, P. K.; Sarkar, U.; Roy, D. R. Chem. Rev. 2006, 106, 2065). Updates to the text appear in red type
| | - Debesh Ranjan Roy
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, IndiaThis is a Chemical Reviews Perennial Review. The root paper of this title was published in 2006 (Chattaraj, P. K.; Sarkar, U.; Roy, D. R. Chem. Rev. 2006, 106, 2065). Updates to the text appear in red type
| |
Collapse
|
15
|
|
16
|
Chapter 13 Chemical reactivity dynamics in ground and excited electronic states. ACTA ACUST UNITED AC 2007. [DOI: 10.1016/s1380-7323(07)80014-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/04/2023]
|
17
|
Ovchinnikov IV, Neuhauser D. Orbital-free tensor density functional theory. J Chem Phys 2006; 124:024105. [PMID: 16422569 DOI: 10.1063/1.2148953] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Abstract
We propose a family of time-dependent orbital-free density-based theories that go beyond the usual current-density description of electrons or other particles. The theories deal with physical quantities that characterize the one-particle density matrix and consequently the kinetics of the particles. We analyze the first two theories in the family. The "lowest-order" theory is quantum hydrodynamics. The second one yields not only the longitudinal plasmon collective excitations, but also the transverse phonon modes that are associated with elementary excitations in Fermi liquids. The theories should make it feasible to do large orbital-free simulations of time-dependent and stationary systems.
Collapse
Affiliation(s)
- Igor V Ovchinnikov
- Department of Chemistry and Biochemistry, University of California at Los Angeles, Los Angeles, California 90095-1569, USA
| | | |
Collapse
|
18
|
Ren GB, Rorison JM. Eigenvalue problem of the Schrödinger equation via the finite-difference time-domain method. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004; 69:036705. [PMID: 15089440 DOI: 10.1103/physreve.69.036705] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/30/2003] [Indexed: 05/24/2023]
Abstract
We present a very efficient scheme to calculate the eigenvalue problem of the time-independent Schrödinger equation. The eigenvalue problem can be solved via an initial-value procedure of the time-dependent Schrödinger equation. First, the time evolution of the wave function is calculated by the finite-difference time-domain method. Then the eigenenergies of the electron system can be obtained through a fast Fourier transformation along the time axis of the wave function after some point. The computing effort for this scheme is roughly proportional to the total grid points involved in the structure and it is suitable for large scale quantum systems. We have applied this approach to the three-dimensional GaN quantum dot system involving one million grid points. It takes only 7 h to calculate the confined energies and the wave functions on a standard 2-GHz Pentium 4 computer. The proposed approach can be implemented in a parallel computer system to study more complex systems.
Collapse
Affiliation(s)
- G B Ren
- Department of Electrical and Electronic Engineering, University of Bristol, BS8 1TR, United Kingdom
| | | |
Collapse
|
19
|
Chattaraj PK, Maiti B. Regioselectivity in the Chemical Reactions between Molecules and Protons: A Quantum Fluid Density Functional Study. J Phys Chem A 2004. [DOI: 10.1021/jp035156a] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [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
| | - B. Maiti
- Department of Chemistry, Indian Institute of Technology, Kharagpur - 721 302, India
| |
Collapse
|
20
|
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]
|
21
|
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
|
22
|
Banerjee A, Harbola MK. Hydrodynamic approach to time-dependent density functional theory; Response properties of metal clusters. J Chem Phys 2000. [DOI: 10.1063/1.1290610] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
23
|
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]
|
24
|
Direct calculation of ground-state electronic densities and properties of noble gas atoms through a single time-dependent hydrodynamical equation. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00612-0] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
|
25
|
Dey BK, Deb BM. Direct ab initio calculation of ground-state electronic energies and densities for atoms and molecules through a time-dependent single hydrodynamical equation. J Chem Phys 1999. [DOI: 10.1063/1.478527] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
26
|
|
27
|
Glutsch S, Chemla DS, Bechstedt F. Numerical calculation of the optical absorption in semiconductor quantum structures. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:11592-11601. [PMID: 9984948 DOI: 10.1103/physrevb.54.11592] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
28
|
Chattaraj PK, Sengupta S. Popular Electronic Structure Principles in a Dynamical Context. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp961096f] [Citation(s) in RCA: 304] [Impact Index Per Article: 10.9] [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
| | - S. Sengupta
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721 302, India
| |
Collapse
|
29
|
Chattaraj PK, Nath S. A dynamical study of the principle of maximum hardness. J CHEM SCI 1994. [DOI: 10.1007/bf02840746] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
|
30
|
|
31
|
Ancona MG. Density-gradient analysis of field emission from metals. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:4874-4883. [PMID: 10004248 DOI: 10.1103/physrevb.46.4874] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
32
|
Deb BM, Chattaraj PK. Thomas-Fermi-type method for the direct calculation of electronic densities and properties of atoms and ions. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:1412-1419. [PMID: 9907122 DOI: 10.1103/physreva.45.1412] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|