ClinicMini-Review | DOI: https://doi.org/10.31579/2834-5134/034
Dynamical Symmetry of Vibronic Transitions in Polyatomic Molecules Using Multidimensional Franck-Condon Integrals and Duschinsky Mixing Effects
- Alireza Heidari 1234
1 Faculty of Chemistry, California South University, 14731 Comet St. Irvine, CA 92604, USA
2 BioSpectroscopy Core Research Laboratory (BCRL), California South University, 14731 Comet St. Irvine, CA 92604, USA
3 Cancer Research Institute (CRI), California South University, 14731 Comet St. Irvine, CA 92604, USA
4 American International Standards Institute (AISI), Irvine, CA 3800, USA
*Corresponding Author: Alireza Heidari1, American International Standards Institute (AISI), Irvine, CA 3800, USA.
Citation: Alireza Heidari, (2023). Dynamical Symmetry of Vibronic Transitions in Polyatomic Molecules Using Multidimensional Franck-Condon Integrals and Duschinsky Mixing Effects, Journal of Clinical Anatomy, 2(5) DOI:10.31579/2834-5134/034
Copyright: © 2023 Alireza Heidari, this is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: 05 September 2023 | Accepted: 15 September 2023 | Published: 28 September 2023
Keywords:
Abstract
Now not very lengthy ago, the second one-order sumdash frequency era (SFG) has grown to be a powerful surface - spectroscopic manner of doing matters. on this paper we gift a molecular rationalization (of why something works or happens the manner it does) for SFG. To in an organized manner deal with this system, we've got classified SFG into the rich sound/important first-rate-wealthy sound/vital best case, rich sound/vital quality-off-wealthy sound/critical best case, off-rich sound/essential pleasant-wealthy sound/important exceptional case and off-rich sound/important excellent-off-rich sound/critical quality case. amongst those cases we may have IR-UV SFG and UV-UV SFG. some of these SFG's are pronounced in this paper. In each SFG case, we've got shown a way to calculate the energy (or strength) and band-form function. The electronic (related to ghosts or the colors of the rainbow) line shape of a (dirt, dust, and so on.) molecule in a collection is calculated. each a stiff/no longer bendy (strong-like) and a non-stiff/no longer bendy (small drop-like) model for the institution are carefully thought approximately/believed and as compared. The spectrum is calculated the use of the (related to ghosts or the colors of the rainbow) density which is related to the mathematical courting-related function of the time-structured energy hole between the two electronic states. Our calculations (display or prove) how the records (associated with/looking at/thinking about) individual eigenstates is misplaced below the broadened line shape envelope in big corporations. The digital (intellectual concentration/selecting up of a liquid) line shape of a polyatomic molecule with harmonic saved strength surfaces is calculated using the time-mathematical relationship-associated function (strictly following longstanding rules). its miles assumed that the (traditional/ commonly and everyday/ healthy) coordinate of electronic states go through a displacement as well as a rotation (the Duschinsky alternate) upon digital excitation. the line shape is also calculated distractively the usage of the cumulant (act of something getting larger, wider, and so forth.) that is related to the mathematical relationship-associated feature of the time-established power gap between electronic states [1-114].
Acknowledgement:
This study was supported by the Cancer Research Institute (CRI) Project of Scientific Instrument and Equipment Development, the National Natural Science Foundation of the United Sates, the International Joint BioSpectroscopy Core Research Laboratory (BCRL) Program supported by the California South University (CSU), and the Key project supported by the American International Standards Institute (AISI), Irvine, California, USA.
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View at Publisher | View at Google Scholar - A.Heidari, (2018), “Fourier Transform Infrared (FTIR) Spectroscopy, Attenuated Total Reflectance Fourier Transform Infrared (ATR–FTIR) Spectroscopy, Micro–Attenuated Total Reflectance Fourier Transform Infrared (Micro–ATR–FTIR) Spectroscopy, Macro–Attenuated Total Reflectance Fourier Transform Infrared (Macro–ATR–FTIR) Spectroscopy, Two–Dimensional Infrared Correlation Spectroscopy, Linear Two–Dimensional Infrared Spectroscopy, Non–Linear Two–Dimensional Infrared Spectroscopy, Atomic Force Microscopy Based Infrared (AFM–IR) Spectroscopy, Infrared Photodissociation Spectroscopy, Infrared Correlation Table Spectroscopy, Near–Infrared Spectroscopy (NIRS), Mid–Infrared Spectroscopy (MIRS), Nuclear Resonance Vibrational Spectroscopy, Thermal Infrared Spectroscopy and Photothermal Infrared Spectroscopy Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation with the Passage of Time”, Glob Imaging Insights, Volume 3 (2): 1–14.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Heteronuclear Single–Quantum Correlation Spectroscopy (HSQC) and Heteronuclear Multiple–Bond Correlation Spectroscopy (HMBC) Comparative Study on Malignant and Benign Human Cancer Cells, Tissues and Tumors under Synchrotron and Synchrocyclotron Radiations”, Chronicle of Medicine and Surgery 2.3: 144–156.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Tetrakis [3, 5–bis (Trifluoromethyl) Phenyl] Borate (BARF)–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules”, Medical Research and Clinical Case Reports 2.1: 113–126.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Sydnone, Münchnone, Montréalone, Mogone, Montelukast, Quebecol and Palau’amine–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules”, Sur Cas Stud Op Acc J. 1 (3).
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Fornacite, Orotic Acid, Rhamnetin, Sodium Ethyl Xanthate (SEX) and Spermine (Spermidine or Polyamine) Nanomolecules Incorporation into the Nanopolymeric Matrix (NPM)”, International Journal of Biochemistry and Biomolecules, Vol. 4: Issue 1, Pages 1–19.
View at Publisher | View at Google Scholar - A.Heidari, R. Gobato, (2018), “Putrescine, Cadaverine, Spermine and Spermidine–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules”, Parana Journal of Science and Education (PJSE)–v.4, n.5, (1–14) July 1.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Cadaverine (1,5–Pentanediamine or Pentamethylenediamine), Diethyl Azodicarboxylate (DEAD or DEADCAT) and Putrescine (Tetramethylenediamine) Nano Molecules Incorporation into the Nano Polymeric Matrix (NPM) by Immersion of the Nano Polymeric Modified Electrode (NPME) as Molecular Enzymes and Drug Targets for Human Cancer Cells, Tissues and Tumors Treatment under Synchrotron and Synchrocyclotron Radiations”, Hiv and Sexual Health Open Access Open Journal. 1 (1): 4–11.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Improving the Performance of Nano–Endofullerenes in Polyaniline Nanostructure–Based Biosensors by Covering Californium Colloidal Nanoparticles with Multi–Walled Carbon Nanotubes”, Journal of Advances in Nanomaterials, Vol. 3, No. 1, Pages 1–28.
View at Publisher | View at Google Scholar - R.Gobato, A. Heidari, (2018), “Molecular Mechanics and Quantum Chemical Study on Sites of Action of Sanguinarine Using Vibrational Spectroscopy Based on Molecular Mechanics and Quantum Chemical Calculations”, Malaysian Journal of Chemistry, Vol. 20 (1), 1–23.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Vibrational Biospectroscopic Studies on Anti–Cancer Nanopharmaceuticals (Part I)”, Malaysian Journal of Chemistry, Vol. 20 (1), 33–73.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Vibrational Biospectroscopic Studies on Anti–Cancer Nanopharmaceuticals (Part II)”, Malaysian Journal of Chemistry, Vol. 20 (1), 74–117.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Uranocene (U(C8H8)2) and Bis(Cyclooctatetraene)Iron (Fe(C8H8)2 or Fe(COT)2)–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules”, Chemistry Reports, Vol. 1, Iss. 2, Pages 1–16.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Biomedical Systematic and Emerging Technological Study on Human Malignant and Benign Cancer Cells and Tissues Biospectroscopic Analysis under Synchrotron Radiation”, Glob Imaging Insights, Volume 3 (3): 1–7.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Deep–Level Transient Spectroscopy and X–Ray Photoelectron Spectroscopy (XPS) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues with the Passage of Time under Synchrotron Radiation”, Res Dev Material Sci. 7(2). RDMS.000659.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “C70–Carboxyfullerenes Nano Molecules Incorporation into the Nano Polymeric Matrix (NPM) by Immersion of the Nano Polymeric Modified Electrode (NPME) as Molecular Enzymes and Drug Targets for Human Cancer Cells, Tissues and Tumors Treatment under Synchrotron and Synchrocyclotron Radiations”, Glob Imaging Insights, Volume 3 (3): 1–7.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “The Effect of Temperature on Cadmium Oxide (CdO) Nanoparticles Produced by Synchrotron Radiation in the Human Cancer Cells, Tissues and Tumors”, International Journal of Advanced Chemistry, 6 (2) 140–156.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “A Clinical and Molecular Pathology Investigation of Correlation Spectroscopy (COSY), Exclusive Correlation Spectroscopy (ECOSY), Total Correlation Spectroscopy (TOCSY), Heteronuclear Single–Quantum Correlation Spectroscopy (HSQC) and Heteronuclear Multiple–Bond Correlation Spectroscopy (HMBC) Comparative Study on Malignant and Benign Human Cancer Cells, Tissues and Tumors under Synchrotron and Synchrocyclotron Radiations Using Cyclotron versus Synchrotron, Synchrocyclotron and the Large Hadron Collider (LHC) for Delivery of Proton and Helium Ion (Charged Particle) Beams for Oncology Radiotherapy”, European Journal of Advances in Engineering and Technology, 5 (7): 414–426.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Nano Molecules Incorporation into the Nano Polymeric Matrix (NPM) by Immersion of the Nano Polymeric Modified Electrode (NPME) as Molecular Enzymes and Drug Targets for Human Cancer Cells, Tissues and Tumors Treatment under Synchrotron and Synchrocyclotron Radiations”, J Oncol Res; 1 (1): 1–20.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Use of Molecular Enzymes in the Treatment of Chronic Disorders”, Canc Oncol Open Access J. 1 (1): 12–15.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Vibrational Biospectroscopic Study and Chemical Structure Analysis of Unsaturated Polyamides Nanoparticles as Anti–Cancer Polymeric Nanomedicines Using Synchrotron Radiation”, International Journal of Advanced Chemistry, 6 (2) 167–189.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Adamantane, Irene, Naftazone and Pyridine–Enhanced Precatalyst Preparation Stabilization and Initiation (PEPPSI) Nano Molecules”, Madridge J Nov Drug Res. 2 (1): 61–67.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Heteronuclear Single–Quantum Correlation Spectroscopy (HSQC) and Heteronuclear Multiple–Bond Correlation Spectroscopy (HMBC) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues with the Passage of Time under Synchrotron Radiation”, Madridge J Nov Drug Res, 2 (1): 68–74.
View at Publisher | View at Google Scholar - A.Heidari, R. Gobato, (2018), “A Novel Approach to Reduce Toxicities and to Improve Bioavailabilities of DNA/RNA of Human Cancer Cells–Containing Cocaine (Coke), Lysergide (Lysergic Acid Diethyl Amide or LSD), Δ⁹–Tetrahydrocannabinol (THC) [(–)–trans–Δ⁹–Tetrahydrocannabinol], Theobromine (Xantheose), Caffeine, Aspartame (APM) (NutraSweet) and Zidovudine (ZDV) [Azidothymidine (AZT)] as Anti–Cancer Nano Drugs by Coassembly of Dual Anti–Cancer Nano Drugs to Inhibit DNA/RNA of Human Cancer Cells Drug Resistance”, Parana Journal of Science and Education (PJSE), v. 4, n. 6, pp. 1–17.
View at Publisher | View at Google Scholar - A.Heidari, R. Gobato, (2018), “Ultraviolet Photoelectron Spectroscopy (UPS) and Ultraviolet–Visible (UV–Vis) Spectroscopy Comparative Study on Malignant and Benign Human Cancer Cells and Tissues with the Passage of Time under Synchrotron Radiation”, Parana Journal of Science and Education (PJSE), v. 4, n. 6, pp. 18–33.
View at Publisher | View at Google Scholar - R.Gobato, A. Heidari, A. Mitra, (2018), “The Creation of C13H20BeLi2SeSi. The Proposal of a Bio–Inorganic Molecule, Using Ab Initio Methods for the Genesis of a Nano Membrane”, Arc Org Inorg Chem Sci 3 (4). AOICS.MS.ID.000167.
View at Publisher | View at Google Scholar - R.Gobato, A. Heidari, (2018), “Using the Quantum Chemistry for Genesis of a Nano Biomembrane with a Combination of the Elements Be, Li, Se, Si, C and H”, J Nanomed Res.7 (4): 241‒252.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Bastadins and Bastaranes–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules”, Glob Imaging Insights, Volume 3 (4): 1–7.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Fucitol, Pterodactyladiene, DEAD or DEADCAT (DiEthyl AzoDiCArboxylaTe), Skatole, the NanoPutians, Thebacon, Pikachurin, Tie Fighter, Spermidine and Mirasorvone Nano Molecules Incorporation into the Nano Polymeric Matrix (NPM) by Immersion of the Nano Polymeric Modified Electrode (NPME) as Molecular Enzymes and Drug Targets for Human Cancer Cells, Tissues and Tumors Treatment under Synchrotron and Synchrocyclotron Radiations”, Glob Imaging Insights, Volume 3 (4): 1–8.
View at Publisher | View at Google Scholar - E.Dadvar, A. Heidari, (2018), “A Review on Separation Techniques of Graphene Oxide (GO)/Base on Hybrid Polymer Membranes for Eradication of Dyes and Oil Compounds: Recent Progress in Graphene Oxide (GO)/Base on Polymer Membranes–Related Nanotechnologies”, Clin Med Rev Case Rep 5: 228.
View at Publisher | View at Google Scholar - A.Heidari, R. Gobato, (2018), “First–Time Simulation of Deoxyuridine Monophosphate (dUMP) (Deoxyuridylic Acid or Deoxyuridylate) and Vomitoxin (Deoxynivalenol (DON)) ((3α,7α)–3,7,15–Trihydroxy–12,13–Epoxytrichothec–9–En–8–One)–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules Incorporation into the Nano Polymeric Matrix (NPM) by Immersion of the Nano Polymeric Modified Electrode (NPME) as Molecular Enzymes and Drug Targets for Human Cancer Cells, Tissues and Tumors Treatment under Synchrotron and Synchrocyclotron Radiations”, Parana Journal of Science and Education (PJSE), Vol. 4, No. 6, pp. 46–67.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Buckminsterfullerene (Fullerene), Bullvalene, Dickite and Josiphos Ligands Nano Molecules Incorporation into the Nano Polymeric Matrix (NPM) by Immersion of the Nano Polymeric Modified Electrode (NPME) as Molecular Enzymes and Drug Targets for Human Hematology and Thromboembolic Diseases Prevention, Diagnosis and Treatment under Synchrotron and Synchrocyclotron Radiations”, Glob Imaging Insights, Volume 3 (4): 1–7.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Fluctuation X–Ray Scattering (FXS) and Wide–Angle X–Ray Scattering (WAXS) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation”, Glob Imaging Insights, Volume 3 (4): 1–7.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “A Novel Approach to Correlation Spectroscopy (COSY), Exclusive Correlation Spectroscopy (ECOSY), Total Correlation Spectroscopy (TOCSY), Incredible Natural–Abundance Double–Quantum Transfer Experiment (INADEQUATE), Heteronuclear Single–Quantum Correlation Spectroscopy (HSQC), Heteronuclear Multiple–Bond Correlation Spectroscopy (HMBC), Nuclear Overhauser Effect Spectroscopy (NOESY) and Rotating Frame Nuclear Overhauser Effect Spectroscopy (ROESY) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation”, Glob Imaging Insights, Volume 3 (5): 1–9.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Terphenyl–Based Reversible Receptor with Rhodamine, Rhodamine–Based Molecular Probe, Rhodamine–Based Using the Spirolactam Ring Opening, Rhodamine B with Ferrocene Substituent, Calix[4]Arene–Based Receptor, Thioether + Aniline–Derived Ligand Framework Linked to a Fluorescein Platform, Mercuryfluor–1 (Flourescent Probe), N,N’–Dibenzyl–1,4,10,13–Tetraraoxa–7,16–Diazacyclooctadecane and Terphenyl–Based Reversible Receptor with Pyrene and Quinoline as the Fluorophores–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules”, Glob Imaging Insights, Volume 3 (5): 1–9.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Small–Angle X–Ray Scattering (SAXS), Ultra–Small Angle X–Ray Scattering (USAXS), Fluctuation X–Ray Scattering (FXS), Wide–Angle X–Ray Scattering (WAXS), Grazing–Incidence Small–Angle X–Ray Scattering (GISAXS), Grazing–Incidence Wide–Angle X–Ray Scattering (GIWAXS), Small–Angle Neutron Scattering (SANS), Grazing–Incidence Small–Angle Neutron Scattering (GISANS), X–Ray Diffraction (XRD), Powder X–Ray Diffraction (PXRD), Wide–Angle X–Ray Diffraction (WAXD), Grazing– Incidence X–Ray Diffraction (GIXD) and Energy–Dispersive X–Ray Diffraction (EDXRD) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation”, Glob Imaging Insights, Volume 3 (5): 1–10.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Nuclear Resonant Inelastic X–Ray Scattering Spectroscopy (NRIXSS) and Nuclear Resonance Vibrational Spectroscopy (NRVS) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation”, Glob Imaging Insights, Volume 3 (5): 1–7.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Small–Angle X–Ray Scattering (SAXS) and Ultra–Small Angle X–Ray Scattering (USAXS) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation”, Glob Imaging Insights, Volume 3 (5): 1–7.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Curious Chloride (CmCl3) and Titanic Chloride (TiCl4)–Enhanced Precatalyst Preparation Stabilization and Initiation (EPPSI) Nano Molecules for Cancer Treatment and Cellular Therapeutics”, J. Cancer Research and Therapeutic Interventions, Volume 1, Issue 1, Pages 01–10.
View at Publisher | View at Google Scholar - R.Gobato, M. R. R. Gobato, A. Heidari, A. Mitra, (2018), “Spectroscopy and Dipole Moment of the Molecule C13H20BeLi2SeSi via Quantum Chemistry Using Ab Initio, Hartree–Fock Method in the Base Set CC–pVTZ and 6–311G**(3df, 3pd)”, Arc Org Inorg Chem Sci 3 (5), Pages 402–409.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “C60 and C70–Encapsulating Carbon Nanotubes Incorporation into the Nano Polymeric Matrix (NPM) by Immersion of the Nano Polymeric Modified Electrode (NPME) as Molecular Enzymes and Drug Targets for Human Cancer Cells, Tissues and Tumors Treatment under Synchrotron and Synchrocyclotron Radiations”, Integr Mol Med, Volume 5 (3): 1–8.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “Two–Dimensional (2D) 1H or Proton NMR, 13C NMR, 15N NMR and 31P NMR Spectroscopy Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation with the Passage of Time”, Glob Imaging Insights, Volume 3 (6): 1–8.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “FT–Raman Spectroscopy, Coherent Anti–Stokes Raman Spectroscopy (CARS) and Raman Optical Activity Spectroscopy (ROAS) Comparative Study on Malignant and Benign Human Cancer Cells and Tissues with the Passage of Time under Synchrotron Radiation”, Glob Imaging Insights, Volume 3 (6): 1–8.
View at Publisher | View at Google Scholar - A.Heidari, (2018), “A Modern and Comprehensive Investigation of Inelastic Electron Tunneling Spectroscopy (IETS) and Scanning Tunneling Spectroscopy on Malignant and Benign Human Cancer Cells, Tissues and Tumors through Optimizing Synchrotron Microbeam Radiotherapy for Human Cancer Treatments and Diagnostics: An Experimental Biospectroscopic Comparative Study”, Glob Imaging Insights, Volume 3 (6): 1–8.
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