1
|
A DFT study of the adsorption and surface enhanced Raman spectroscopy of pyridine on Au20, Ag20, and bimetallic Ag8Au12 clusters. J Mol Graph Model 2022; 115:108234. [DOI: 10.1016/j.jmgm.2022.108234] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2021] [Revised: 05/23/2022] [Accepted: 05/24/2022] [Indexed: 11/21/2022]
|
2
|
Olson JE, Hu Z, Best MD, Jensen L, Camden JP. Surface-enhanced hyper-Raman scattering of Rhodamine 6G isotopologues: Assignment of lower vibrational frequencies. J Chem Phys 2021; 154:034703. [PMID: 33499640 DOI: 10.1063/5.0031679] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023] Open
Abstract
We report a comprehensive experimental and theoretical study of the lower-wavenumber vibrational modes in the surface-enhanced hyper-Raman scattering (SEHRS) of Rhodamine 6G (R6G) and its isotopologue R6G-d4. Measurements acquired on-resonance with two different electronic states, S1 and S2, are compared to the time-dependent density functional theory computations of the resonance hyper-Raman spectra and electrodynamics-quantum mechanical computations of the SEHRS spectra on-resonance with S1 and S2. After accounting for surface orientation, we find excellent agreement between experiment and theory for both R6G and its isotopologue. We then present a detailed analysis of the complex vibronic coupling effects in R6G and the importance of surface orientation for characterizing the system. This combination of theory and experiment allows, for the first time, an unambiguous assignment of lower-wavenumber vibrational modes of R6G and its isotopologue R6G-d4.
Collapse
Affiliation(s)
- Jacob E Olson
- Department of Chemistry and Biochemistry, University of Notre Dame, Notre Dame, Indiana 46556-5670, USA
| | - Zhongwei Hu
- Department of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, Pennsylvania 16802-4615, USA
| | - Michael D Best
- Department of Chemistry, University of Tennessee, 1420 Circle Drive, Knoxville, Tennessee 37996, USA
| | - Lasse Jensen
- Department of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, Pennsylvania 16802-4615, USA
| | - Jon P Camden
- Department of Chemistry and Biochemistry, University of Notre Dame, Notre Dame, Indiana 46556-5670, USA
| |
Collapse
|
3
|
Langer J, Jimenez de Aberasturi D, Aizpurua J, Alvarez-Puebla RA, Auguié B, Baumberg JJ, Bazan GC, Bell SEJ, Boisen A, Brolo AG, Choo J, Cialla-May D, Deckert V, Fabris L, Faulds K, García de Abajo FJ, Goodacre R, Graham D, Haes AJ, Haynes CL, Huck C, Itoh T, Käll M, Kneipp J, Kotov NA, Kuang H, Le Ru EC, Lee HK, Li JF, Ling XY, Maier SA, Mayerhöfer T, Moskovits M, Murakoshi K, Nam JM, Nie S, Ozaki Y, Pastoriza-Santos I, Perez-Juste J, Popp J, Pucci A, Reich S, Ren B, Schatz GC, Shegai T, Schlücker S, Tay LL, Thomas KG, Tian ZQ, Van Duyne RP, Vo-Dinh T, Wang Y, Willets KA, Xu C, Xu H, Xu Y, Yamamoto YS, Zhao B, Liz-Marzán LM. Present and Future of Surface-Enhanced Raman Scattering. ACS NANO 2020; 14:28-117. [PMID: 31478375 PMCID: PMC6990571 DOI: 10.1021/acsnano.9b04224] [Citation(s) in RCA: 1441] [Impact Index Per Article: 360.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/08/2019] [Accepted: 09/03/2019] [Indexed: 04/14/2023]
Abstract
The discovery of the enhancement of Raman scattering by molecules adsorbed on nanostructured metal surfaces is a landmark in the history of spectroscopic and analytical techniques. Significant experimental and theoretical effort has been directed toward understanding the surface-enhanced Raman scattering (SERS) effect and demonstrating its potential in various types of ultrasensitive sensing applications in a wide variety of fields. In the 45 years since its discovery, SERS has blossomed into a rich area of research and technology, but additional efforts are still needed before it can be routinely used analytically and in commercial products. In this Review, prominent authors from around the world joined together to summarize the state of the art in understanding and using SERS and to predict what can be expected in the near future in terms of research, applications, and technological development. This Review is dedicated to SERS pioneer and our coauthor, the late Prof. Richard Van Duyne, whom we lost during the preparation of this article.
Collapse
Affiliation(s)
- Judith Langer
- CIC
biomaGUNE and CIBER-BBN, Paseo de Miramón 182, Donostia-San Sebastián 20014, Spain
| | | | - Javier Aizpurua
- Materials
Physics Center (CSIC-UPV/EHU), and Donostia
International Physics Center, Paseo Manuel de Lardizabal 5, Donostia-San
Sebastián 20018, Spain
| | - Ramon A. Alvarez-Puebla
- Departamento
de Química Física e Inorgánica and EMaS, Universitat Rovira i Virgili, Tarragona 43007, Spain
- ICREA-Institució
Catalana de Recerca i Estudis Avançats, Passeig Lluís Companys 23, Barcelona 08010, Spain
| | - Baptiste Auguié
- School
of Chemical and Physical Sciences, Victoria
University of Wellington, PO Box 600, Wellington 6140, New Zealand
- The
MacDiarmid
Institute for Advanced Materials and Nanotechnology, PO Box 600, Wellington 6140, New Zealand
- The Dodd-Walls
Centre for Quantum and Photonic Technologies, PO Box 56, Dunedin 9054, New Zealand
| | - Jeremy J. Baumberg
- NanoPhotonics
Centre, Cavendish Laboratory, University
of Cambridge, Cambridge CB3 0HE, United Kingdom
| | - Guillermo C. Bazan
- Department
of Materials and Chemistry and Biochemistry, University of California, Santa
Barbara, California 93106-9510, United States
| | - Steven E. J. Bell
- School
of Chemistry and Chemical Engineering, Queen’s
University of Belfast, Belfast BT9 5AG, United Kingdom
| | - Anja Boisen
- Department
of Micro- and Nanotechnology, The Danish National Research Foundation
and Villum Foundation’s Center for Intelligent Drug Delivery
and Sensing Using Microcontainers and Nanomechanics, Technical University of Denmark, Kongens Lyngby 2800, Denmark
| | - Alexandre G. Brolo
- Department
of Chemistry, University of Victoria, P.O. Box 3065, Victoria, BC V8W 3 V6, Canada
- Center
for Advanced Materials and Related Technologies, University of Victoria, Victoria, BC V8W 2Y2, Canada
| | - Jaebum Choo
- Department
of Chemistry, Chung-Ang University, Seoul 06974, South Korea
| | - Dana Cialla-May
- Leibniz
Institute of Photonic Technology Jena - Member of the research alliance “Leibniz Health Technologies”, Albert-Einstein-Str. 9, Jena 07745, Germany
- Institute
of Physical Chemistry and Abbe Center of Photonics, Friedrich-Schiller University Jena, Helmholtzweg 4, Jena 07745, Germany
| | - Volker Deckert
- Leibniz
Institute of Photonic Technology Jena - Member of the research alliance “Leibniz Health Technologies”, Albert-Einstein-Str. 9, Jena 07745, Germany
- Institute
of Physical Chemistry and Abbe Center of Photonics, Friedrich-Schiller University Jena, Helmholtzweg 4, Jena 07745, Germany
| | - Laura Fabris
- Department
of Materials Science and Engineering, Rutgers
University, 607 Taylor Road, Piscataway New Jersey 08854, United States
| | - Karen Faulds
- Department
of Pure and Applied Chemistry, University
of Strathclyde, Technology and Innovation Centre, 99 George Street, Glasgow G1 1RD, United Kingdom
| | - F. Javier García de Abajo
- ICREA-Institució
Catalana de Recerca i Estudis Avançats, Passeig Lluís Companys 23, Barcelona 08010, Spain
- The Barcelona
Institute of Science and Technology, Institut
de Ciencies Fotoniques, Castelldefels (Barcelona) 08860, Spain
| | - Royston Goodacre
- Department
of Biochemistry, Institute of Integrative Biology, University of Liverpool, Biosciences Building, Crown Street, Liverpool L69 7ZB, United Kingdom
| | - Duncan Graham
- Department
of Pure and Applied Chemistry, University
of Strathclyde, Technology and Innovation Centre, 99 George Street, Glasgow G1 1RD, United Kingdom
| | - Amanda J. Haes
- Department
of Chemistry, University of Iowa, Iowa City, Iowa 52242, United States
| | - Christy L. Haynes
- Department
of Chemistry, University of Minnesota, 207 Pleasant Street SE, Minneapolis, Minnesota 55455, United States
| | - Christian Huck
- Kirchhoff
Institute for Physics, University of Heidelberg, Im Neuenheimer Feld 227, Heidelberg 69120, Germany
| | - Tamitake Itoh
- Nano-Bioanalysis
Research Group, Health Research Institute, National Institute of Advanced Industrial Science and Technology, Takamatsu, Kagawa 761-0395, Japan
| | - Mikael Käll
- Department
of Physics, Chalmers University of Technology, Goteborg S412 96, Sweden
| | - Janina Kneipp
- Department
of Chemistry, Humboldt-Universität
zu Berlin, Brook-Taylor-Str. 2, Berlin-Adlershof 12489, Germany
| | - Nicholas A. Kotov
- Department
of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, United States
| | - Hua Kuang
- Key Lab
of Synthetic and Biological Colloids, Ministry of Education, International
Joint Research Laboratory for Biointerface and Biodetection, Jiangnan University, Wuxi, Jiangsu 214122, China
- State Key
Laboratory of Food Science and Technology, Jiangnan University, JiangSu 214122, China
| | - Eric C. Le Ru
- School
of Chemical and Physical Sciences, Victoria
University of Wellington, PO Box 600, Wellington 6140, New Zealand
- The
MacDiarmid
Institute for Advanced Materials and Nanotechnology, PO Box 600, Wellington 6140, New Zealand
- The Dodd-Walls
Centre for Quantum and Photonic Technologies, PO Box 56, Dunedin 9054, New Zealand
| | - Hiang Kwee Lee
- Division
of Chemistry and Biological Chemistry, School of Physical and Mathematical
Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
- Department
of Materials Science and Engineering, Stanford
University, Stanford, California 94305, United States
| | - Jian-Feng Li
- State Key
Laboratory of Physical Chemistry of Solid Surfaces, Collaborative
Innovation Center of Chemistry for Energy Materials, MOE Key Laboratory
of Spectrochemical Analysis & Instrumentation, Department of Chemistry,
College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
| | - Xing Yi Ling
- Division
of Chemistry and Biological Chemistry, School of Physical and Mathematical
Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
| | - Stefan A. Maier
- Chair in
Hybrid Nanosystems, Nanoinstitute Munich, Faculty of Physics, Ludwig-Maximilians-Universität München, Munich 80539, Germany
| | - Thomas Mayerhöfer
- Leibniz
Institute of Photonic Technology Jena - Member of the research alliance “Leibniz Health Technologies”, Albert-Einstein-Str. 9, Jena 07745, Germany
- Institute
of Physical Chemistry and Abbe Center of Photonics, Friedrich-Schiller University Jena, Helmholtzweg 4, Jena 07745, Germany
| | - Martin Moskovits
- Department
of Chemistry & Biochemistry, University
of California Santa Barbara, Santa Barbara, California 93106-9510, United States
| | - Kei Murakoshi
- Department
of Chemistry, Faculty of Science, Hokkaido
University, North 10 West 8, Kita-ku, Sapporo,
Hokkaido 060-0810, Japan
| | - Jwa-Min Nam
- Department
of Chemistry, Seoul National University, Seoul 08826, South Korea
| | - Shuming Nie
- Department of Bioengineering, University of Illinois at Urbana-Champaign, 1406 W. Green Street, Urbana, Illinois 61801, United States
| | - Yukihiro Ozaki
- Department
of Chemistry, School of Science and Technology, Kwansei Gakuin University, Sanda, Hyogo 669-1337, Japan
| | | | - Jorge Perez-Juste
- Departamento
de Química Física and CINBIO, University of Vigo, Vigo 36310, Spain
| | - Juergen Popp
- Leibniz
Institute of Photonic Technology Jena - Member of the research alliance “Leibniz Health Technologies”, Albert-Einstein-Str. 9, Jena 07745, Germany
- Institute
of Physical Chemistry and Abbe Center of Photonics, Friedrich-Schiller University Jena, Helmholtzweg 4, Jena 07745, Germany
| | - Annemarie Pucci
- Kirchhoff
Institute for Physics, University of Heidelberg, Im Neuenheimer Feld 227, Heidelberg 69120, Germany
| | - Stephanie Reich
- Department
of Physics, Freie Universität Berlin, Berlin 14195, Germany
| | - Bin Ren
- State Key
Laboratory of Physical Chemistry of Solid Surfaces, Collaborative
Innovation Center of Chemistry for Energy Materials, MOE Key Laboratory
of Spectrochemical Analysis & Instrumentation, Department of Chemistry,
College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
| | - George C. Schatz
- Department
of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, United States
| | - Timur Shegai
- Department
of Physics, Chalmers University of Technology, Goteborg S412 96, Sweden
| | - Sebastian Schlücker
- Physical
Chemistry I, Department of Chemistry and Center for Nanointegration
Duisburg-Essen, University of Duisburg-Essen, Essen 45141, Germany
| | - Li-Lin Tay
- National
Research Council Canada, Metrology Research
Centre, Ottawa K1A0R6, Canada
| | - K. George Thomas
- School
of Chemistry, Indian Institute of Science
Education and Research Thiruvananthapuram, Vithura Thiruvananthapuram 695551, India
| | - Zhong-Qun Tian
- State Key
Laboratory of Physical Chemistry of Solid Surfaces, Collaborative
Innovation Center of Chemistry for Energy Materials, MOE Key Laboratory
of Spectrochemical Analysis & Instrumentation, Department of Chemistry,
College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
| | - Richard P. Van Duyne
- Department
of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, United States
| | - Tuan Vo-Dinh
- Fitzpatrick
Institute for Photonics, Department of Biomedical Engineering, and
Department of Chemistry, Duke University, 101 Science Drive, Box 90281, Durham, North Carolina 27708, United States
| | - Yue Wang
- Department
of Chemistry, College of Sciences, Northeastern
University, Shenyang 110819, China
| | - Katherine A. Willets
- Department
of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
| | - Chuanlai Xu
- Key Lab
of Synthetic and Biological Colloids, Ministry of Education, International
Joint Research Laboratory for Biointerface and Biodetection, Jiangnan University, Wuxi, Jiangsu 214122, China
- State Key
Laboratory of Food Science and Technology, Jiangnan University, JiangSu 214122, China
| | - Hongxing Xu
- School
of Physics and Technology and Institute for Advanced Studies, Wuhan University, Wuhan 430072, China
| | - Yikai Xu
- School
of Chemistry and Chemical Engineering, Queen’s
University of Belfast, Belfast BT9 5AG, United Kingdom
| | - Yuko S. Yamamoto
- School
of Materials Science, Japan Advanced Institute
of Science and Technology, Nomi, Ishikawa 923-1292, Japan
| | - Bing Zhao
- State Key
Laboratory of Supramolecular Structure and Materials, Jilin University, Changchun 130012, China
| | - Luis M. Liz-Marzán
- CIC
biomaGUNE and CIBER-BBN, Paseo de Miramón 182, Donostia-San Sebastián 20014, Spain
- Ikerbasque,
Basque Foundation for Science, Bilbao 48013, Spain
| |
Collapse
|
4
|
Sprague-Klein EA, McAnally MO, Zhdanov DV, Zrimsek AB, Apkarian VA, Seideman T, Schatz GC, Van Duyne RP. Observation of Single Molecule Plasmon-Driven Electron Transfer in Isotopically Edited 4,4′-Bipyridine Gold Nanosphere Oligomers. J Am Chem Soc 2017; 139:15212-15221. [DOI: 10.1021/jacs.7b08868] [Citation(s) in RCA: 53] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
| | | | | | | | - Vartkess A. Apkarian
- Department of Chemistry, University of California, Irvine, California 92697, United States
| | | | | | | |
Collapse
|
5
|
Madzharova F, Heiner Z, Kneipp J. Surface enhanced hyper Raman scattering (SEHRS) and its applications. Chem Soc Rev 2017; 46:3980-3999. [PMID: 28530726 DOI: 10.1039/c7cs00137a] [Citation(s) in RCA: 38] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Surface enhanced hyper Raman scattering (SEHRS) is the spontaneous, two-photon excited Raman scattering that occurs for molecules residing in high local optical fields of plasmonic nanostructures. Being regarded as a non-linear analogue of surface enhanced Raman scattering (SERS), SEHRS shares most of its properties, but also has additional characteristics. They include complementary spectroscopic information resulting from different selection rules and a stronger enhancement due to the non-linearity in excitation. In practical spectroscopy, this can translate to advantages, which include a high selectivity when probing molecule-surface interactions, the possibility of probing molecules at low concentrations due to the strong enhancement, and the advantages that come with excitation in the near-infrared. In this review, we give examples of the wealth of vibrational spectroscopic information that can be obtained by SEHRS and discuss work that has contributed to understanding the effect and that therefore provides directions for SEHRS spectroscopy. Future applications could range from biophotonics to materials research.
Collapse
Affiliation(s)
- Fani Madzharova
- Humboldt-Universität zu Berlin, Department of Chemistry, Brook-Taylor-Str. 2, 12489 Berlin, Germany.
| | - Zsuzsanna Heiner
- Humboldt-Universität zu Berlin, Department of Chemistry, Brook-Taylor-Str. 2, 12489 Berlin, Germany.
| | - Janina Kneipp
- Humboldt-Universität zu Berlin, Department of Chemistry, Brook-Taylor-Str. 2, 12489 Berlin, Germany.
| |
Collapse
|
6
|
McAnally MO, McMahon JM, Van Duyne RP, Schatz GC. Coupled wave equations theory of surface-enhanced femtosecond stimulated Raman scattering. J Chem Phys 2017; 145:094106. [PMID: 27608988 DOI: 10.1063/1.4961749] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a coupled wave semiclassical theory to describe plasmonic enhancement effects in surface-enhanced femtosecond stimulated Raman scattering (SE-FSRS). A key result is that the plasmon enhanced fields which drive the vibrational equation of motion for each normal mode results in dispersive lineshapes in the SE-FSRS spectrum. This result, which reproduces experimental lineshapes, demonstrates that plasmon-enhanced stimulated Raman methods provide unique sensitivity to a plasmonic response. Our derived SE-FSRS theory shows a plasmonic enhancement of |gpu|(2)ImχR(ω)gst (2)/ImχR(ω), where |gpu|(2) is the absolute square of the plasmonic enhancement from the Raman pump, χR(ω) is the Raman susceptibility, and gst is the plasmonic enhancement of the Stokes field in SE-FSRS. We conclude with a discussion on potential future experimental and theoretical directions for the field of plasmonically enhanced coherent Raman scattering.
Collapse
Affiliation(s)
- Michael O McAnally
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
| | - Jeffrey M McMahon
- Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814 USA
| | - Richard P Van Duyne
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
| | - George C Schatz
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
| |
Collapse
|
7
|
|
8
|
Hu Z, Chulhai DV, Jensen L. Simulating Surface-Enhanced Hyper-Raman Scattering Using Atomistic Electrodynamics-Quantum Mechanical Models. J Chem Theory Comput 2016; 12:5968-5978. [DOI: 10.1021/acs.jctc.6b00940] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Zhongwei Hu
- Department
of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, 16802, United States
| | - Dhabih V. Chulhai
- Department
of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, 16802, United States
| | - Lasse Jensen
- Department
of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, 16802, United States
| |
Collapse
|
9
|
Chulhai DV, Hu Z, Moore JE, Chen X, Jensen L. Theory of Linear and Nonlinear Surface-Enhanced Vibrational Spectroscopies. Annu Rev Phys Chem 2016; 67:541-64. [PMID: 27090843 DOI: 10.1146/annurev-physchem-040215-112347] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
The vibrational spectroscopy of molecules adsorbed on metal nanoparticles can be enhanced by many orders of magnitude so that the detection and identification of single molecules are possible. The enhancement of most linear and nonlinear vibrational spectroscopies has been demonstrated. In this review, we discuss theoretical approaches to understanding linear and nonlinear surface-enhanced vibrational spectroscopies. A unified description of enhancement mechanisms classified as either electromagnetic or chemical in nature is presented. Emphasis is placed on understanding the spectral changes necessary for interpretation of linear and nonlinear surface-enhanced vibrational spectroscopies.
Collapse
Affiliation(s)
- Dhabih V Chulhai
- Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802;
| | - Zhongwei Hu
- Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802;
| | - Justin E Moore
- Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802;
| | - Xing Chen
- Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802;
| | - Lasse Jensen
- Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802;
| |
Collapse
|
10
|
Ma H, Zhao Y, Liang W. Assessment of mode-mixing and Herzberg-Teller effects on two-photon absorption and resonance hyper-Raman spectra from a time-dependent approach. J Chem Phys 2014; 140:094107. [PMID: 24606353 DOI: 10.1063/1.4867273] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Abstract
A time-dependent approach is presented to simulate the two-photon absorption (TPA) and resonance hyper-Raman scattering (RHRS) spectra including Duschinsky rotation (mode-mixing) and Herzberg-Teller (HT) vibronic coupling effects. The computational obstacles for the excited-state geometries, vibrational frequencies, and nuclear derivatives of transition dipole moments, which enter the expressions of TPA and RHRS cross sections, are further overcome by the recently developed analytical excited-state energy derivative approaches in the framework of time-dependent density functional theory. The excited-state potential curvatures are evaluated at different levels of approximation to inspect the effects of frequency differences, mode-mixing and HT on TPA and RHRS spectra. Two types of molecules, one with high symmetry (formaldehyde, p-difluorobenzene, and benzotrifluoride) and the other with non-centrosymmetry (cis-hydroxybenzylidene-2,3-dimethylimidazolinone in the deprotonated anion state (HDBI(-))), are used as test systems. The calculated results reveal that it is crucial to adopt the exact excited-state potential curvatures in the calculations of TPA and RHRS spectra even for the high-symmetric molecules, and that the vertical gradient approximation leads to a large deviation. Furthermore, it is found that the HT contribution is evident in the TPA and RHRS spectra of HDBI(-) although its one- and two-photon transitions are strongly allowed, and its effect results in an obvious blueshift of the TPA maximum with respect to the one-photon absorption maximum. With the HT and solvent effects getting involved, the simulated blueshift of 1291 cm(-1) agrees well with the experimental measurement.
Collapse
Affiliation(s)
- HuiLi Ma
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, and Institute of Fujian Provincial Theoretical and Computational Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, People's Republic of China
| | - Yi Zhao
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, and Institute of Fujian Provincial Theoretical and Computational Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, People's Republic of China
| | - WanZhen Liang
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, and Institute of Fujian Provincial Theoretical and Computational Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, People's Republic of China
| |
Collapse
|
11
|
Rinaldi JM, Morton SM, Jensen L. A discrete interaction model/quantum mechanical method for simulating nonlinear optical properties of molecules near metal surfaces. Mol Phys 2013. [DOI: 10.1080/00268976.2013.793419] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- John Michael Rinaldi
- a Department of Chemistry , The Pennsylvania State University , University Park , PA , USA
| | - Seth Michael Morton
- a Department of Chemistry , The Pennsylvania State University , University Park , PA , USA
| | - Lasse Jensen
- a Department of Chemistry , The Pennsylvania State University , University Park , PA , USA
| |
Collapse
|
12
|
Mullin J, Valley N, Blaber MG, Schatz GC. Combined quantum mechanics (TDDFT) and classical electrodynamics (Mie theory) methods for calculating surface enhanced Raman and hyper-Raman spectra. J Phys Chem A 2012; 116:9574-81. [PMID: 22946645 DOI: 10.1021/jp307003p] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Multiscale models that combine quantum mechanics and classical electrodynamics are presented, which allow for the evaluation of surface-enhanced Raman (SERS) and hyper-Raman scattering spectra (SEHRS) for both chemical (CHEM) and electrodynamic (EM) enhancement mechanisms. In these models, time-dependent density functional theory (TDDFT) for a system consisting of the adsorbed molecule and a metal cluster fragment of the metal particle is coupled to Mie theory for the metal particle, with the surface of the cluster being overlaid with the surface of the metal particle. In model A, the electromagnetic enhancement from plasmon-excitation of the metal particle is combined with the chemical enhancement associated with a static treatment of the molecule-metal structure to determine overall spectra. In model B, the frequency dependence of the Raman spectrum of the isolated molecule is combined with the enhancements determined in model A to refine the enhancement estimate. An equivalent theory at the level of model A is developed for hyper-Raman spectra calculations. Application to pyridine interacting with a 20 nm diameter silver sphere is presented, including comparisons with an earlier model (denoted G), which combines plasmon enhanced fields with gas-phase Raman (or hyper-Raman) spectra. The EM enhancement factor for spherical particles at 357 nm is found to be 10(4) and 10(6) for SERS and SEHRS, respectively. Including both chemical and electromagnetic mechanisms at the level of model A leads to enhancements on the order of 10(4) and 10(9) for SERS and SEHRS.
Collapse
Affiliation(s)
- Jonathan Mullin
- Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3113, USA
| | | | | | | |
Collapse
|
13
|
Mullin J, Schatz GC. Combined Linear Response Quantum Mechanics and Classical Electrodynamics (QM/ED) Method for the Calculation of Surface-Enhanced Raman Spectra. J Phys Chem A 2012; 116:1931-8. [DOI: 10.1021/jp2087829] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jonathan Mullin
- Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston,
Illinois 60208-3113, United States
| | - George C. Schatz
- Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston,
Illinois 60208-3113, United States
| |
Collapse
|
14
|
Silverstein DW, Jensen L. Vibronic coupling simulations for linear and nonlinear optical processes: Theory. J Chem Phys 2012; 136:064111. [DOI: 10.1063/1.3684236] [Citation(s) in RCA: 67] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
15
|
Alipour M, Mohajeri A. Linear optical properties and their bond length dependence of yttrium bromide from ab initio and density functional theory calculations. Chem Phys 2011. [DOI: 10.1016/j.chemphys.2011.06.021] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
16
|
Zheng RH, Wei WM, Sun YY, Shi Q. Theoretical study of doubly resonant IR-UV hyper-Raman scattering. J Phys Chem A 2011; 115:2231-7. [PMID: 21351786 DOI: 10.1021/jp112397w] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Theoretically we study the doubly resonant IR-UV hyper-Raman scattering where the IR light is resonant to the vibrational transition and the UV/visible light is resonant to the electronic transition between the ground and excited states. Based on the Taylor expansion of the electric transition dipole moments with respect to the normal coordinates, we have derived the expressions for the hyper-Raman A, B, and C terms. Using quantum chemistry calculations, we have estimated the magnitudes for all the three terms. Due to double resonance, contributions from all the three terms should be detectable in experiments.
Collapse
Affiliation(s)
- Ren-hui Zheng
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, P. R. China
| | | | | | | |
Collapse
|
17
|
Morton SM, Silverstein DW, Jensen L. Theoretical Studies of Plasmonics using Electronic Structure Methods. Chem Rev 2011; 111:3962-94. [DOI: 10.1021/cr100265f] [Citation(s) in RCA: 344] [Impact Index Per Article: 26.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Seth M. Morton
- Department of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, Pennsylvania 16802, United States
| | - Daniel W. Silverstein
- Department of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, Pennsylvania 16802, United States
| | - Lasse Jensen
- Department of Chemistry, The Pennsylvania State University, 104 Chemistry Building, University Park, Pennsylvania 16802, United States
| |
Collapse
|
18
|
Valley N, Jensen L, Autschbach J, Schatz GC. Theoretical studies of surface enhanced hyper-Raman spectroscopy: The chemical enhancement mechanism. J Chem Phys 2010; 133:054103. [DOI: 10.1063/1.3456544] [Citation(s) in RCA: 42] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
|
19
|
Birke RL, Znamenskiy V, Lombardi JR. A charge-transfer surface enhanced Raman scattering model from time-dependent density functional theory calculations on a Ag10-pyridine complex. J Chem Phys 2010; 132:214707. [DOI: 10.1063/1.3431210] [Citation(s) in RCA: 59] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
20
|
Affiliation(s)
- Anne Myers Kelley
- School of Natural Sciences, University of California, Merced, California 95343;
| |
Collapse
|
21
|
Jensen L, Aikens CM, Schatz GC. Electronic structure methods for studying surface-enhanced Raman scattering. Chem Soc Rev 2008; 37:1061-73. [DOI: 10.1039/b706023h] [Citation(s) in RCA: 481] [Impact Index Per Article: 30.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
|
22
|
Janesko BG, Scuseria GE. Surface enhanced Raman optical activity of molecules on orientationally averaged substrates: theory of electromagnetic effects. J Chem Phys 2007; 125:124704. [PMID: 17014197 DOI: 10.1063/1.2345368] [Citation(s) in RCA: 66] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a model for electromagnetic enhancements in surface enhanced Raman optical activity (SEROA) spectroscopy. The model extends previous treatments of SEROA to substrates, such as metal nanoparticles in solution, that are orientationally averaged with respect to the laboratory frame. Our theoretical treatment combines analytical expressions for unenhanced Raman optical activity with molecular polarizability tensors that are dressed by the substrate's electromagnetic enhancements. We evaluate enhancements from model substrates to determine preliminary scaling laws and selection rules for SEROA. We find that dipolar substrates enhance Raman optical activity (ROA) scattering less than Raman scattering. Evanescent gradient contributions to orientationally averaged ROA scale to first or higher orders in the gradient of the incident plane-wave field. These evanescent gradient contributions may be large for substrates with quadrupolar responses to the plane-wave field gradient. Some substrates may also show a ROA contribution that depends only on the molecular electric dipole-electric dipole polarizability. These conclusions are illustrated via numerical calculations of surface enhanced Raman and ROA spectra from (R)-(-)-bromochlorofluoromethane on various model substrates.
Collapse
|
23
|
Abstract
Theoretical studies on the optical properties of gold triangular prisms in solution are presented to determine how structural modifications affect the extinction spectrum. Well-defined trends in the particle extinction are found to depend on the triangular edge length and the prism thickness. Calculations performed on large, thin triangular prisms indicate multipolar excitation and display numerous peaks in the extinction spectrum. The dominant peaks are assigned to different in-plane modes corresponding to the lowest three orders of a multipole expansion. Vector polarization plots are presented to support the peak assignments. Altering the prisms by snipping off the points of the triangular cross section significantly blueshifts the dipole peak, but the higher-order modes are only slightly affected. Snipping off large volumes can lead to the suppression of high-order multipoles in the extinction spectrum.
Collapse
Affiliation(s)
- Kevin L Shuford
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, USA.
| | | | | |
Collapse
|
24
|
Yang M, Dai HL. Determination of molecular ordering at a buried interface and the effect of interfacial ordering on thin film crystallization by second harmonic generation. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2004; 20:37-40. [PMID: 15744996 DOI: 10.1021/la035744f] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
It is demonstrated that by using optical second harmonic generation the orientation and alignment of molecules in the interfacial layer between two solids, a thin solid molecular film and a metal substrate, can be determined. The pyridine molecules in the interfacial layer underneath the film are found to align along the [110] direction of the Ag(110) surface with a small tilt angle (approximately 11 degrees) from the surface normal. This interfacial ordering is found to have a notable effect in inducing crystallization at the heterogeneous boundary of the amorphous molecular film.
Collapse
|
25
|
Wu DY, Hayashi M, Shiu YJ, Liang KK, Chang CH, Yeh YL, Lin SH. A Quantum Chemical Study of Bonding Interaction, Vibrational Frequencies, Force Constants, and Vibrational Coupling of Pyridine−Mn (M = Cu, Ag, Au; n = 2−4). J Phys Chem A 2003. [DOI: 10.1021/jp034951l] [Citation(s) in RCA: 67] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- D. Y. Wu
- Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, Republic of China, Center for Condensed Matter Sciences, National Taiwan University, 1 Roosevelt Rd., Sec. 4, Taipei, Taiwan 10764, Republic of China, and Department of Chemistry Chemistry and State Key Laboratory for Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen, 361005 Fujian, China
| | - M. Hayashi
- Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, Republic of China, Center for Condensed Matter Sciences, National Taiwan University, 1 Roosevelt Rd., Sec. 4, Taipei, Taiwan 10764, Republic of China, and Department of Chemistry Chemistry and State Key Laboratory for Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen, 361005 Fujian, China
| | - Y. J. Shiu
- Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, Republic of China, Center for Condensed Matter Sciences, National Taiwan University, 1 Roosevelt Rd., Sec. 4, Taipei, Taiwan 10764, Republic of China, and Department of Chemistry Chemistry and State Key Laboratory for Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen, 361005 Fujian, China
| | - K. K. Liang
- Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, Republic of China, Center for Condensed Matter Sciences, National Taiwan University, 1 Roosevelt Rd., Sec. 4, Taipei, Taiwan 10764, Republic of China, and Department of Chemistry Chemistry and State Key Laboratory for Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen, 361005 Fujian, China
| | - C. H. Chang
- Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, Republic of China, Center for Condensed Matter Sciences, National Taiwan University, 1 Roosevelt Rd., Sec. 4, Taipei, Taiwan 10764, Republic of China, and Department of Chemistry Chemistry and State Key Laboratory for Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen, 361005 Fujian, China
| | - Y. L. Yeh
- Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, Republic of China, Center for Condensed Matter Sciences, National Taiwan University, 1 Roosevelt Rd., Sec. 4, Taipei, Taiwan 10764, Republic of China, and Department of Chemistry Chemistry and State Key Laboratory for Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen, 361005 Fujian, China
| | - S. H. Lin
- Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, Republic of China, Center for Condensed Matter Sciences, National Taiwan University, 1 Roosevelt Rd., Sec. 4, Taipei, Taiwan 10764, Republic of China, and Department of Chemistry Chemistry and State Key Laboratory for Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen, 361005 Fujian, China
| |
Collapse
|
26
|
Maroulis G. Electric multipole moment, dipole and quadrupole (hyper)polarizability derivatives for HF (X1Σ+). ACTA ACUST UNITED AC 2003. [DOI: 10.1016/s0166-1280(03)00273-2] [Citation(s) in RCA: 77] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|
27
|
Maroulis G. Accurate electric multipole moment, static polarizability and hyperpolarizability derivatives for N[sub 2]. J Chem Phys 2003. [DOI: 10.1063/1.1535443] [Citation(s) in RCA: 134] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
28
|
Wu DY, Ren B, Jiang YX, Xu X, Tian ZQ. Density Functional Study and Normal-Mode Analysis of the Bindings and Vibrational Frequency Shifts of the Pyridine−M (M = Cu, Ag, Au, Cu+, Ag+, Au+, and Pt) Complexes. J Phys Chem A 2002. [DOI: 10.1021/jp025970i] [Citation(s) in RCA: 149] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
|
29
|
Quinet O, Champagne B. Analytical time-dependent Hartree–Fock schemes for the evaluation of the hyper-Raman intensities. J Chem Phys 2002. [DOI: 10.1063/1.1490596] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
30
|
|
31
|
Theoretical evaluation of Raman spectra and enhancement factors for a molecule adsorbed on a complex-shaped metal particle. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)00582-6] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
|
32
|
Aroca RF, Clavijo RE, Halls MD, Schlegel HB. Surface-Enhanced Raman Spectra of Phthalimide. Interpretation of the SERS Spectra of the Surface Complex Formed on Silver Islands and Colloids. J Phys Chem A 2000. [DOI: 10.1021/jp002071q] [Citation(s) in RCA: 73] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
|
33
|
Arenas JF, Woolley MS, Tocón IL, Otero JC, Marcos JI. Complete analysis of the surface-enhanced Raman scattering of pyrazine on the silver electrode on the basis of a resonant charge transfer mechanism involving three states. J Chem Phys 2000. [DOI: 10.1063/1.481361] [Citation(s) in RCA: 102] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
34
|
Li WH, Li XY, Yu NT. Surface-enhanced hyper-Raman spectroscopy (SEHRS) and surface-enhanced Raman spectroscopy (SERS) studies of pyrazine and pyridine adsorbed on silver electrodes. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00380-2] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
|
35
|
|
36
|
Becucci M, Lakin NM, Pietraperzia G, Salvi PR, Castellucci E, Kerstel ERT. High resolution optothermal spectroscopy of pyridine in the S1 state. J Chem Phys 1997. [DOI: 10.1063/1.474203] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
37
|
Martin JML, Van Alsenoy C. Structure and Vibrational Spectra of the Azabenzenes. A Density Functional Study Including Exact Exchange Contributions. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp953168t] [Citation(s) in RCA: 84] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jan M. L. Martin
- Department SBG, Limburgs Universitair Centrum, Universitaire Campus, B-3590 Diepenbeek, Belgium, and Institute for Materials Science, Department of Chemistry, University of Antwerp (UIA), Universiteitsplein 1, B-2610 Wilrijk, Belgium
| | - C. Van Alsenoy
- Institute for Materials Science, Department of Chemistry, University of Antwerp (UIA), Universiteitsplein 1, B-2610 Wilrijk, Belgium
| |
Collapse
|
38
|
Yang W, Hulteen J, Schatz GC, Van Duyne RP. A surface‐enhanced hyper‐Raman and surface‐enhanced Raman scattering study of trans‐1,2‐bis(4‐pyridyl)ethylene adsorbed onto silver film over nanosphere electrodes. Vibrational assignments: Experiment and theory. J Chem Phys 1996. [DOI: 10.1063/1.471241] [Citation(s) in RCA: 162] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
39
|
Tisko EL, Li X, Hunt KLC. Relation of vibrational hyper‐Raman intensities to γ‐hyperpolarizability densities. J Chem Phys 1995. [DOI: 10.1063/1.470366] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
40
|
Hinchliffe A, Soscún M HJ. Ab initio studies of the dipole polarizabilities of conjugated molecules. ACTA ACUST UNITED AC 1994. [DOI: 10.1016/s0166-1280(96)80003-0] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
|