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Tabi CB, Tagwo H, Kofané TC. Modulational instability in nonlinear saturable media with competing nonlocal nonlinearity. Phys Rev E 2022; 106:054201. [PMID: 36559471 DOI: 10.1103/physreve.106.054201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/01/2022] [Accepted: 10/10/2022] [Indexed: 11/06/2022]
Abstract
The modulational instability (MI) phenomenon is addressed in a nonlocal medium under controllable saturation. The linear stability analysis of a plane-wave solution is used to derive an expression for the growth rate of MI that is exploited to parametrically discuss the possibility for the plane wave to disintegrate into nonlinear localized light patterns. The influence of the nonlocal parameter, the saturation coefficient, and the saturation index are mainly explored in the context of a Gaussian nonlocal response. It is pointed out that the instability spectrum, which tends to be quenched by the high nonlocality parameter, gets amplified under the right choices of the saturation parameters, especially the saturation index. Via direct numerical simulations, confirmations of analytical predictions are given, where competing nonlocal and saturable nonlinearities enable the emergence of trains of patterns as manifestations of MI. The comprehensive parametric analysis carried out throughout the numerical experiment reveals the robustness of the obtained rogue waves of A- and B-type Akhmediev breathers, as the nonlinear signature of MI, providing the saturation index as a suitable tool to manipulate nonlinear waves in nonlocal media.
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Affiliation(s)
- Conrad Bertrand Tabi
- Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Mail Bag 16 Palapye, Botswana
| | - Hippolyte Tagwo
- Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
| | - Timoléon Crépin Kofané
- Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Mail Bag 16 Palapye, Botswana.,Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon.,Centre d'Excellence Africain en Technologies de l'Information et de la Communication, University of Yaoundé I, Cameroon
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2
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Shirota H, Fukuda T, Kato T. Solvent Dependence of 7-Azaindole Dimerization. J Phys Chem B 2013; 117:16196-205. [DOI: 10.1021/jp408040s] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Affiliation(s)
- Hideaki Shirota
- Department of Nanomaterial Science,
Graduate School of Advanced Integration
Science, ‡Department of Chemistry, Faculty of Science, and §Center for Frontier Science, Chiba University, 1-33 Yayoi, Inage-ku, Chiba 263-8522, Japan
| | - Takao Fukuda
- Department of Nanomaterial Science,
Graduate School of Advanced Integration
Science, ‡Department of Chemistry, Faculty of Science, and §Center for Frontier Science, Chiba University, 1-33 Yayoi, Inage-ku, Chiba 263-8522, Japan
| | - Tatsuya Kato
- Department of Nanomaterial Science,
Graduate School of Advanced Integration
Science, ‡Department of Chemistry, Faculty of Science, and §Center for Frontier Science, Chiba University, 1-33 Yayoi, Inage-ku, Chiba 263-8522, Japan
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3
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Shirota H, Kato T. Intermolecular Vibrational Spectra of C3v CXY3 Molecular Liquids, CHCl3, CHBr3, CFBr3, and CBrCl3. J Phys Chem A 2011; 115:8797-807. [DOI: 10.1021/jp203255u] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Affiliation(s)
- Hideaki Shirota
- Department of Nanomaterial Science, Graduate School of Advanced Integration Science, Chiba University, 1-33 Yayoi, Inage-ku, Chiba 263-8522, Japan
- Department of Chemistry, Faculty of Science, Chiba University, 1-33 Yayoi, Inage-ku, Chiba 263-8522, Japan
| | - Tatsuya Kato
- Department of Nanomaterial Science, Graduate School of Advanced Integration Science, Chiba University, 1-33 Yayoi, Inage-ku, Chiba 263-8522, Japan
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Smith NA, Meech SR. Optically-heterodyne-detected optical Kerr effect (OHD-OKE): Applications in condensed phase dynamics. INT REV PHYS CHEM 2010. [DOI: 10.1080/01442350110092701] [Citation(s) in RCA: 165] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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5
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Affiliation(s)
- Minhaeng Cho
- Department of Chemistry and Center for Multidimensional Spectroscopy, Korea University, Seoul 136-701, Korea.
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Frontiera RR, Mathies RA. Polarization dependence of vibrational coupling signals in femtosecond stimulated Raman spectroscopy. J Chem Phys 2007; 127:124501. [PMID: 17902915 DOI: 10.1063/1.2780843] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The polarization dependence of vibrational coupling signals seen in femtosecond stimulated Raman spectroscopy (FSRS) is investigated. Changing the polarization of a pulse used to impulsively excite coherent low frequency chlorine bending motion in CDCl(3) has a dramatic effect on the line shape of vibrational sidebands which arise from the anharmonic coupling of the pumped modes at 262 and 365 cm(-1) with the higher frequency symmetric stretching mode at 652 cm(-1). The asymmetric bend sideband (652+262 cm(-1)) changes sign and magnitude as the impulsive pulse polarization is rotated relative to the Raman pulses, while the symmetric bend sideband (652+365 cm(-1)) is relatively polarization independent. These experiments demonstrate the ability of FSRS to obtain time-resolved information on not only the vibrational coupling strength but also the symmetry of anharmonically coupled modes.
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Affiliation(s)
- Renee R Frontiera
- Department of Chemistry, University of California, Berkeley, California 94720, USA
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7
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Hunt NT, Turner AR, Wynne K. Inter- and intramolecular hydrogen bonding in phenol derivatives: a model system for poly-L-tyrosine. J Phys Chem B 2007; 109:19008-17. [PMID: 16853447 DOI: 10.1021/jp052964o] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Abstract
The ultrafast dynamics of solutions of phenol and two phenol derivatives--hydroquinone (1,4-benzenediol) and pyrocatechol (1,2-benzenediol)--have been studied with Optically Heterodyne-Detected Optical Kerr-Effect (OHD-OKE) spectroscopy. The solvents, methanol and acetonitrile, were selected to provide strong and weak solvent-solute hydrogen-bonding interactions, respectively, while pyrocatechol features an intramolecular hydrogen bond. Together these provide a series of model systems for polypeptides such as polytyrosine, which facilitate the direct study of inter- and intramolecular hydrogen bonding. A broad contribution to the Raman spectral density of the methanol solutions at frequencies between 150 and 300 cm(-1) has been observed that is absent in acetonitrile. This contribution has been assigned to solvent-solute hydrogen-bond stretching vibrations. The OHD-OKE response of poly-L-tyrosine has been measured and was found to contain a similar contribution. Density functional theory geometry optimizations and normal mode calculations have been performed using the B3LYP hybrid functional and 6-311++G** basis set. These have yielded a complete assignment of the low-frequency Raman and far-infrared spectra of pyrocatechol for the first time, which has provided information on the nature of the intramolecular hydrogen bond of pyrocatechol.
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Affiliation(s)
- Neil T Hunt
- Department of Physics, University of Strathclyde, John Anderson Building, 107 Rottenrow East, Glasgow G4 0NG, Scotland, United Kingdom
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Li X, Ahuja C, Harrison JF, Hunt KLC. The collision-induced polarizability of a pair of hydrogen molecules. J Chem Phys 2007; 126:214302. [PMID: 17567191 DOI: 10.1063/1.2121548] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
Abstract
Collision-induced light scattering, impulsive stimulated scattering, and subpicosecond-induced birefringence all depend on the transient changes Deltaalpha in molecular polarizabilities that occur when molecules collide. Ab initio results for Deltaalpha are needed to permit comparisons with accurate experimental results for these spectra and for refractive index virial coefficients and dielectric virial coefficients. In this work, we provide results for Deltaalpha for a pair of hydrogen molecules, treated at CCSD(T) level, with an aug-cc-pV5Z (spdf) basis set. Our values replace the best previous ab initio results for the variation of Deltaalpha with intermolecular separation, the self-consistent-field results obtained by Bounds [Mol. Phys. 38, 2099 (1979)] with a relatively small (3s2p) basis set for H2. For the six geometrical configurations studied by Bounds, the inclusion of correlation and improvements in the basis tend to increase both the trace Deltaalpha(0)0 and the anisotropy Deltaalpha2m of the pair polarizability. The change in the anisotropy is relatively small, but our values for the trace differ by factors of 2 or more from Bounds' results. For use in computing experimental line shapes, intensities, and virial coefficients, we have calculated Deltaalpha for 18 different relative orientations of a pair of H2 molecules, with the intermolecular separation R ranging from 2 a.u. (3 a.u. for a linear pair) to 10 a.u. The H2 bond length is fixed at the vibrationally averaged internuclear separation in the ground state r=1.449 a.u. Our results agree well with the CCSD(T) results for Deltaalpha obtained by Maroulis [J. Phys. Chem. A 104, 4772 (2000)] for two pair configurations of H2...H2 (linear and T-shaped) at a fixed internuclear distance of R=6.5 a.u. in a [6s4p1d] basis. As the intermolecular distance increases (for R>or=8 a.u.), the spherical-tensor components of Deltaalpha converge to the results from a long-range model that includes dipole-induced-dipole (DID) interactions, higher-multipole induction, nonuniformity of the local field, hyperpolarization, and van der Waals dispersion. Deviations from the first-order DID model are still evident for R between 8 and 10 a.u. in most orientations of the pair. At shorter range, overlap damping, exchange, and orbital distortion reduce both Deltaalpha0(0) and Deltaalpha(2)0 below their long-range limiting forms.
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Affiliation(s)
- X Li
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
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Aspects of the Optical Kerr Effect and Cotton-Mouton Effect of Solutions. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470141441.ch5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register]
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Hunt NT, Kattner L, Shanks RP, Wynne K. The dynamics of water-protein interaction studied by ultrafast optical Kerr-effect spectroscopy. J Am Chem Soc 2007; 129:3168-72. [PMID: 17315992 DOI: 10.1021/ja066289n] [Citation(s) in RCA: 69] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Abstract
Changes in the ultrafast dynamics and terahertz Raman spectrum accompanying a helix-to-coil transition of a homo-polypeptide have been observed for the first time. Formation of the alpha-helix is associated with a shift to lower frequency of a broad Raman band attributable to solvent-peptide intermolecular hydrogen bonding. This band facilitates direct spectroscopic observation of so-called hydration water near a peptide and yields the first quantitative estimate of the time scale of the ultrafast dynamics in the solvation shell, which range from 0.18 to 0.33 ps (185-100 cm(-1)) depending on the secondary structure of the peptide. Such fast motions of solvent molecules have been referred to as the "lubricant of life" and are thought to play key roles in determining structure and activity of proteins.
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Affiliation(s)
- Neil T Hunt
- Department of Physics, SUPA, University of Strathclyde, Glasgow G4 0NG, Scotland, United Kingdom.
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Kukura P, Frontiera R, Mathies RA. Direct observation of anharmonic coupling in the time domain with femtosecond stimulated Raman scattering. PHYSICAL REVIEW LETTERS 2006; 96:238303. [PMID: 16803414 DOI: 10.1103/physrevlett.96.238303] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2006] [Indexed: 05/10/2023]
Abstract
Off-resonant impulsive Raman excitation is used to initiate nonstationary nuclear motion in low-frequency vibrational modes of deuterio-chloroform. Femtosecond time-resolved stimulated Raman probing of the high-frequency C-D stretch reveals additional vibrational sidebands that arise as a result of anharmonic coupling between the impulsively excited low-frequency and the probed high-frequency vibrations. These experiments illustrate the detailed molecular information on anharmonic and reactive surfaces available from multidimensional femtosecond stimulated Raman techniques.
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Affiliation(s)
- Philipp Kukura
- Department of Chemistry, University of California, Berkeley, California 94720, USA
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Rouzée A, Boudon V, Lavorel B, Faucher O, Raballand W. Rotational Raman spectroscopy of ethylene using a femtosecond time-resolved pump-probe technique. J Chem Phys 2005; 123:154309. [PMID: 16252950 DOI: 10.1063/1.2069866] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Femtosecond Raman-induced polarization spectroscopy (RIPS) was conducted at low pressure (250 mb at 295 K and 400 mb at 373 K) in ethylene. The temporal signal, resulting from the beating between pure rotational coherences, was measured with a heterodyne detection. The temporal traces were converted to the frequency domain using a Fourier transformation and then analyzed thanks to the D2hTDS software (http://www.u-bourgogne.fr/LPUB/shTDS.html) dedicated to X2Y4 molecules with D2h symmetry. The effective Hamiltonian was expanded up to order 2, allowing the determination of five parameters with an rms of 0.017 cm(-1). Special care was taken in the precise modeling of intensities, taking into account all instrumental effects. Relative intensities were fitted (with an rms of 7.2%) and two polarizability operators were determined.
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Affiliation(s)
- A Rouzée
- Laboratoire de Physique de l'Université de Bourgogne, CNRS UMR 5027, 9 Avenue A. Savary, BP 47870, F-21078 Dijon Cedex, France
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Hunt NT, Jaye AA, Hellman A, Meech SR. Ultrafast Dynamics of Styrene Microemulsions, Polystyrene Nanolatexes, and Structural Analogues of Polystyrene. J Phys Chem B 2003. [DOI: 10.1021/jp035624g] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
Affiliation(s)
- Neil T. Hunt
- School of Chemical Sciences and Pharmacy, University of East Anglia, Norwich NR4 7TJ, United Kingdom
| | - Andrew A. Jaye
- School of Chemical Sciences and Pharmacy, University of East Anglia, Norwich NR4 7TJ, United Kingdom
| | - Alexander Hellman
- School of Chemical Sciences and Pharmacy, University of East Anglia, Norwich NR4 7TJ, United Kingdom
| | - Stephen R. Meech
- School of Chemical Sciences and Pharmacy, University of East Anglia, Norwich NR4 7TJ, United Kingdom
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14
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Turner DB, Ulness DJ. Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light. J Chem Phys 2003. [DOI: 10.1063/1.1619932] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
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Hunt NT, Jaye AA, Meech SR. Ultrafast Dynamics in Microemulsions: Optical Kerr Effect Study of the Dispersed Oil Phase in a Carbon Disulfide−Dodecyltrimethylammonium Bromide−Water Microemulsion. J Phys Chem B 2003. [DOI: 10.1021/jp022301w] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- Neil T. Hunt
- School of Chemical Sciences and Pharmacy, University of East Anglia, Norwich NR4 7TJ, U.K
| | - Andrew A. Jaye
- School of Chemical Sciences and Pharmacy, University of East Anglia, Norwich NR4 7TJ, U.K
| | - Stephen R. Meech
- School of Chemical Sciences and Pharmacy, University of East Anglia, Norwich NR4 7TJ, U.K
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Yoshioka S, Yagi T, Nakashima S, Okada T. Temperature dependence of low-frequency responses of liquid 1-alkenes studied by femtosecond optical Kerr effect spectroscopy. J Mol Liq 2002. [DOI: 10.1016/s0167-7322(01)00353-1] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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17
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Potma EO, de Boeij WP, Wiersma DA. Femtosecond dynamics of intracellular water probed with nonlinear optical Kerr effect microspectroscopy. Biophys J 2001; 80:3019-24. [PMID: 11371474 PMCID: PMC1301485 DOI: 10.1016/s0006-3495(01)76267-4] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022] Open
Abstract
A nonlinear optical Kerr effect (OKE) microscope was developed and used to elucidate the ultra-fast diffusive motions of intracellular water molecules. In the OKE microscope, a pump-induced birefringence is sensed by a delayed probe pulse within a spatially confined volume that measures 0.5 microm in the lateral direction and 4.0 microm along the axial coordinate. This microscope allows the recording of time-resolved Kerr signals, which reflect the ultra-fast structural relaxation of the liquid, exclusively from intracellular aqueous domains. Because relaxation occurs on a picosecond time scale, only local diffusive motions are probed. The microscopic OKE signal is therefore insensitive to long-time-scale hindered translational motions enforced by intracellular mechanical barriers but probes the intrinsic orientational mobility of water molecules in cells instead. The Kerr response as determined from single intact mammalian cells under physiological conditions shows a structural relaxation time of 1.35 ps, which is 1.7 times slower than the Kerr decay observed in pure water. The data indicate that the mobility of water molecules in cellular domains is moderately restricted due to the high intracellular content of proteins and solutes.
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Affiliation(s)
- E O Potma
- Ultrafast Laser and Spectroscopy Laboratory, Materials Science Center, University of Groningen, 9747 AG Groningen, The Netherlands
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Smith NA, Meech SR. Ultrafast Dynamics of Polar Monosubstituted Benzene Liquids Studied by the Femtosecond Optical Kerr Effect. J Phys Chem A 2000. [DOI: 10.1021/jp993170a] [Citation(s) in RCA: 76] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Neil A. Smith
- School of Chemical Sciences, University of East Anglia, Norwich NR4 7TJ, U.K
| | - Stephen R. Meech
- School of Chemical Sciences, University of East Anglia, Norwich NR4 7TJ, U.K
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HUANG TZERHSIANG, HSU CHIACHEN, WEI TAIHUEI, CHEN MICHAELJIUNN, TSE WANSUN, CHIANG HAIPANG, KUO CHIETONG, CHANG SPRINGFIELD, GU XIJIA. The ultrafast dynamics of liquid CBrCl3studied with optical Kerr effect and Raman scattering. Mol Phys 1999. [DOI: 10.1080/00268979909482973] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Wang Y, Ushida K, Tominaga Y, Kira A. Molecular dynamics of acetophenone and its derivatives investigated by femtosecond optical Kerr effect spectroscopy and depolarized low-frequency Raman scattering. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(98)01306-2] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Constantine S, Zhou Y, Morais J, Ziegler LD. Dispersed Optical Heterodyne Detected Birefringence and Dichroism of Transparent Liquids. J Phys Chem A 1997. [DOI: 10.1021/jp971227s] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- S. Constantine
- Department of Chemistry, Boston University, Boston, Massachusetts 02215
| | - Y. Zhou
- Department of Chemistry, Boston University, Boston, Massachusetts 02215
| | - J. Morais
- Department of Chemistry, Boston University, Boston, Massachusetts 02215
| | - L. D. Ziegler
- Department of Chemistry, Boston University, Boston, Massachusetts 02215
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Chang YJ, Castner EW. Intermolecular Dynamics of Substituted Benzene and Cyclohexane Liquids, Studied by Femtosecond Nonlinear-Optical Polarization Spectroscopy. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp952073o] [Citation(s) in RCA: 119] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Yong Joon Chang
- Chemistry Department, Brookhaven National Laboratory, Upton, New York 11973-5000
| | - Edward W. Castner
- Chemistry Department, Brookhaven National Laboratory, Upton, New York 11973-5000
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Cong P, Simon JD, She CY. Intermolecular spectral densities of liquids: A quantitative comparison of time‐domain and frequency‐domain techniques. J Chem Phys 1996. [DOI: 10.1063/1.470819] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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25
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Chang YJ, Castner EW. Femtosecond dynamics of hydrogen‐bonding solvents. Formamide andN‐methylformamide in acetonitrile, DMF, and water. J Chem Phys 1993. [DOI: 10.1063/1.465790] [Citation(s) in RCA: 174] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Joo T, Albrecht A. Vibrational frequencies and dephasing times in excited electronic states by femtosecond time-resolved four-wave mixing. Chem Phys 1993. [DOI: 10.1016/0301-0104(93)80213-s] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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