1
|
Summa FF, Andersen JH, Lazzeretti P, Sauer SPA, Monaco G, Coriani S, Zanasi R. Origin-Independent Dynamic Polarizability Density from Coupled Cluster Response Theory. J Chem Theory Comput 2023; 19:7242-7259. [PMID: 37796868 PMCID: PMC10601476 DOI: 10.1021/acs.jctc.3c00753] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/09/2023] [Indexed: 10/07/2023]
Abstract
The calculation of the origin-independent density of the dynamic electric dipole polarizability, previously presented for uncorrelated and density functional theory (DFT)-based methods, has been developed and implemented at the coupled cluster singles and doubles (CCSD) level of theory. A pointwise analysis of polarizability densities calculated for a number of molecules at Hartree-Fock (HF) and CCSD clearly shows that the electron correlation effect is much larger than one would argue considering the integrated dipole electric polarizability alone. Large error compensations occur during the integration process, which hide fairly large deviations mainly located in the internuclear regions. The same is observed when calculated CCSD and B3LYP polarizability densities are compared, with the remarkable feature that positive/negative deviations between CCSD and HF reverse sign, becoming negative/positive when comparing CCSD to B3LYP.
Collapse
Affiliation(s)
- F. F. Summa
- DTU
Chemistry, Technical University of Denmark, Kemitorvet Bldg. 207, DK-2800 Kongens Lyngby, Denmark
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli Studi di Salerno, via Giovanni Paolo II 132, 84084 Fisciano, SA, Italy
| | - J. H. Andersen
- DTU
Chemistry, Technical University of Denmark, Kemitorvet Bldg. 207, DK-2800 Kongens Lyngby, Denmark
| | - P. Lazzeretti
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli Studi di Salerno, via Giovanni Paolo II 132, 84084 Fisciano, SA, Italy
| | - S. P. A. Sauer
- Department
of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
| | - G. Monaco
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli Studi di Salerno, via Giovanni Paolo II 132, 84084 Fisciano, SA, Italy
| | - S. Coriani
- DTU
Chemistry, Technical University of Denmark, Kemitorvet Bldg. 207, DK-2800 Kongens Lyngby, Denmark
| | - R. Zanasi
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli Studi di Salerno, via Giovanni Paolo II 132, 84084 Fisciano, SA, Italy
| |
Collapse
|
2
|
Summa FF, Monaco G, Lazzeretti P, Zanasi R. Electronic current densities and origin-independent property densities induced by optical fields. Phys Chem Chem Phys 2023; 25:25082-25093. [PMID: 37702204 DOI: 10.1039/d3cp01814h] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/14/2023]
Abstract
The interaction of a molecule with optical fields is customarily interpreted by means of induced time-dependent electric polarizabilities, magnetizabilities and mixed electric-magnetic polarizabilities. In general, these properties can be rationalized by integrals of density functions formulated in terms of induced charge and current densities. In this perspective, we focus on what has been done so far at the theoretical level, and on what can be expected to be unveiled from the topological study of suitable density functions, endowed with the fundamental requirement of origin invariance. Densities characterized by such a property can be integrated all over the configuration space to obtain electric dipole polarizability and optical rotatory power. Corresponding maps visualize domains mainly involved in the molecular response. The diagonal components of origin-independent density tensor functions that, on integration, yield corresponding electric dipole polarizability tensor of benzene, naphthalene, phenanthrene and ovalene, have been computed, confirming the ubiquitous presence of counter-polarization regions in the proximity of the atomic nuclei. They are associated with toroidal electron currents, induced by time derivative of the electric field of impinging radiation. Electron (de)localization in these systems is readily observed and estimated. The optical rotation density of the carbonyl chromophore is studied in detail. Its essential feature is the separation in quadrants of alternating sign of density about the CO bond. The presence of an extrachromophoric perturbation determines asymmetry in the extension of the quadrant distribution, thus causing optical rotation.
Collapse
Affiliation(s)
- Francesco F Summa
- Dipartimento di Chimica e Biologia "A. Zambelli", Università degli Studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy.
| | - Guglielmo Monaco
- Dipartimento di Chimica e Biologia "A. Zambelli", Università degli Studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy.
| | - Paolo Lazzeretti
- Dipartimento di Chimica e Biologia "A. Zambelli", Università degli Studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy.
| | - Riccardo Zanasi
- Dipartimento di Chimica e Biologia "A. Zambelli", Università degli Studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy.
| |
Collapse
|
3
|
Summa FF, Monaco G, Lazzeretti P, Zanasi R. Origin-Independent Densities of Static and Dynamic Molecular Polarizabilities. J Phys Chem Lett 2021; 12:8855-8864. [PMID: 34495665 PMCID: PMC8450934 DOI: 10.1021/acs.jpclett.1c02545] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/08/2023]
Abstract
The notion of the electric dipole polarizability density function of atoms and molecules has been considered. The current density induced by the time derivative of the electric field of monochromatic light allows for a new definition of the electric dipole polarizability density, which is translationally invariant. This translational invariance provides the physical meaning that was lacking in previous defined polarizability densities. The new polarizability density has been implemented at the TD-DFT level of theory. The origin independence has been proven in silico to hold regardless of the basis set size. Two emblematic molecules, i.e., CO and N2, which in many respects display similar electric response, have been studied in detail. The substantial differences, which have been highlighted in the topology of the parallel and perpendicular polarizability density tensor components of CO and N2, are grossly hidden by compensation, when integration is carried out to get the molecular properties.
Collapse
Affiliation(s)
- Francesco Ferdinando Summa
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy
- E-mail:
| | - Guglielmo Monaco
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy
| | - Paolo Lazzeretti
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy
| | - Riccardo Zanasi
- Dipartimento
di Chimica e Biologia “A. Zambelli”, Università degli studi di Salerno, via Giovanni Paolo II 132, Fisciano 84084, SA, Italy
| |
Collapse
|
4
|
Abstract
For three molecules with weak or negligible charge overlap, we prove that the three-body interaction energy obtained from quantum perturbation theory (to leading order) fits a dielectric model with a nonlocal electronic screening function. The electronic charge cloud of each molecule acts as a dielectric medium for the interaction of the remaining two with the nonlocal dielectric function epsilon(r,r') obtained by O. S. Jenkins and K. L. C. Hunt [J. Chem. Phys. 119, 8250 (2003)], by considering the charge redistribution induced in a single molecule by an external perturbation. The dielectric function depends parametrically on the coordinates of the nuclei, within the Born-Oppenheimer approximation. We also prove that the force on each nucleus in molecule A depends on intramolecular dielectric screening within A. The potential from the charge distribution of B, screened by C acting as a dielectric medium, is further screened linearly within A; and similarly, with the roles of B and C reversed. In addition, the potential due to the unperturbed charge distribution of B and the potential due to the unperturbed charge distribution of C, acting simultaneously, are screened nonlinearly within A. The results show that nonlocal dielectric theory holds on the molecular level, provided that the overlap of the electronic charge distributions is weak.
Collapse
Affiliation(s)
- A Mandal
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | | |
Collapse
|
5
|
Borysow A, Frommhold L. Collision-Induced Light Scattering: a Bibliography. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470141243.ch7] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/17/2023]
|
6
|
|
7
|
Affiliation(s)
- G. Breuer
- a Universität Hamburg, I. Institut für Experimentalphysik , Jungiusstrasse 9, 2000 , Hamburg 36 , Germany
| |
Collapse
|
8
|
|
9
|
Spirina Jenkins O, Hunt KLC. Nonlocal dielectric functions on the nanoscale: Screened forces from unscreened potentials. J Chem Phys 2003. [DOI: 10.1063/1.1590644] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
10
|
van der Elsken J, Huijts RA. Density dependence of the depolarized light scattering spectrum of xenon. J Chem Phys 1988. [DOI: 10.1063/1.453942] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
11
|
Jameson CJ, Buckingham AD. Molecular electronic property density functions: The nuclear magnetic shielding density. J Chem Phys 1980. [DOI: 10.1063/1.440045] [Citation(s) in RCA: 109] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
12
|
|
13
|
|
14
|
Sipe J, Van Kranendonk J. Limitations of the concept of polarizability density as applied to atoms and molecules. Mol Phys 1978. [DOI: 10.1080/00268977800101181] [Citation(s) in RCA: 33] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
15
|
|
16
|
Oxtoby DW. The calculation of pair polarizabilities through continuum electrostatic theory. J Chem Phys 1978. [DOI: 10.1063/1.436706] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
17
|
|
18
|
Thibeau M, Oksengorn B. Application d'un modèle de cage à l'étude de la dépolarisation du rayonnement Rayleigh diffusé par un gaz rare sous très haute pression. ACTA ACUST UNITED AC 1969. [DOI: 10.1051/jphys:0196900300104700] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
|
19
|
|
20
|
Thibeau M, Oksengorn B. Étude théorique de la largeur spectrale de la partie dépolarisée du rayonnement diffusé par un gaz rare comprimé. Mol Phys 1968. [DOI: 10.1080/00268976800101481] [Citation(s) in RCA: 31] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
21
|
Thibeau M, Oksengorn B, Vodar B. Étude théorique et expérimentale de la dépolarisation du rayonnement Rayleigh diffusé par les gaz rares comprimés. ACTA ACUST UNITED AC 1968. [DOI: 10.1051/jphys:01968002904028700] [Citation(s) in RCA: 103] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
|
22
|
Kielich S. Role of Molecular Interaction in Anisotropic Light Scattering by Liquids. J Chem Phys 1967. [DOI: 10.1063/1.1840491] [Citation(s) in RCA: 85] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|