Intrinsic distortion in the analysis of the Jahn-Teller effect: by Transition state theory (TST) and Nitrogen inversion

Mahmoudzadeh, Golrokh

doi:10.22034/ijnc.2020.138177.1133

Intrinsic distortion in the analysis of the Jahn-Teller effect: by Transition state theory (TST) and Nitrogen inversion

Document Type : Research Paper

Author

Golrokh Mahmoudzadeh

Department of Chemistry, Arak Branch, Islamic Azad University, Arak, Iran

https://doi.org/10.22034/ijnc.2020.138177.1133

Abstract

Abstract
In the case of NH3, two reasonable geometries can be tried. Molecular orbitals are the main electronic structural units for analysis and solution of chemical problems at the electronic level and Quantum mechanical description of the changes in electronic structure due to distortions in molecular shape and vice versa is given in the form of the vibronic coupling theory.
The most famous concept based on this theory is the Jahn−Teller (JT) effect. The second-order Jahn-Teller effect (SOJT) is an example of reactions proceeding by an interaction between the HOMO and the LUMO within the same molecule In the high-symmetry regular triangular configuration D3h with the N atom in the center, the ground-state configuration of the system is singlet 1A1, that in the direction coordinate instability of Qa2" with the time-dependent DFT (TD-DFT) calculations symmetry descents and to form a square-pyramidal structure. The intrinsic reaction coordinate (IRC) theory in the present paper is presented for further understanding of the mechanism of such distortion. Natural bond analysis (NBO) is used for illustrating the strongest interaction and natural atomic charges of these structures. The calculated energy profile has been supplemented with optimization by means of transition state theory (TST).

Keywords

Intrinsic Reaction Coordinate (IRC)

Time-dependent DFT (TD-DFT)

Normal Coordinate (Q)

Natural bond analysis (NBO)

Transition State Theory (TST)

[1] L. Deng, T. Ziegler and L. Fan, J. Chem. Phys., 99, 3823 (1993).
[2] C. Gonzalez, and H. B. Schlegel, J. Phys. Chem., 94, 14, 5523 (1990).
[3] Gaussian 09, Revision C.01, Gaussian, Inc., Wallingford CT, 2009.
[4] I. I. R. Dennington, T. Keith, J. Millam, K. Eppinnett, W. L. Hovell, and R. Gilliland, GaussView, Version 3.09, Semichem, Inc.: Shawnee Mission, KS, 2003. 32950, 1992.
[5] A. Szabo and N. S. Ostlund. Modern Quantum Chemistry. Dover Publications, New York, 1989.
[6] I. N. Levine. Quantum Chemistry. Pearson Education (Singapore) Pte. Ltd., Indian Branch, 482 F. I. E. Patparganj, Delhi 110 092, India, 5th ed edition, 2003.
[7] K. Ohno; K. Esfarjani and Y. Kawazoe. Computational Material Science. Springer-Verlag, Berlin, 1999.
[8] E. Zahedi, S. Shaabani, and A. Shiroudi, J. Phys. Chem. A., 121, 8504 (2017).
[9] G. Mahmoudzadeh, Int. J. New. Chem., 6(4), 277 (2019).
[10] G. Mahmoudzadeh, R. Ghiasi, H. Pasdar, J. Struct. Chem., 60, 736 (2019).
[11] AE. Reed, LA. Curtiss,F. Weinhold, Chem. Rev., 88, 899 (1988).
[12] ED. Glendening, JK. Badenhoop, AE. Reed, JE Carpenter, JA,Bohmann, CM. Morales, CR.Landis, F.Weinhold NBO 6.0. Theoretical Chemistry Institute, University of Wisconsin, Madison, WI,, 2013.
[13] D.Nori-Shargh, S. N. Mousavi, and J. E. Boggs, J. Phys. Chem. A., 117, 7, 1621 (2013).
[14] M. D. Allendorf, T. M. Besmann, R. J. Kee, and M. T. Swihart, Chemical Vapor. Deposition: Precursors, Processes and Applications, 1st edn., The Royal Society of Chemistry, UK, 2009.
[15] K. A. Holbrook, M. J. Pilling, and S. H. Robertson, Unimolecular Reactions, 2nd edn. Wiley, Chichester, 1996.
[16] F. Fukui, J. Phys. Chem., 74, 4161 (1970).
[17] A. R. Oliaey, A. Shiroudi, E. Zahedi, and M. S. Deleuze, React. Kinet. Mech. Cat., 124, 27 (2018).
[18] Z.Kazminejad, A. Shiroudi, and et.al, J. Chil. Chem. Soc., 64, 1 (2019).
[19] j. D. Robert, and M. C. Caserio (1977) Basic Principles of Organic Chemistry, second edition. W. A. Benjamin, Inc., Menlo Park, CA. ISBN 0-8053-8329-8.
[20] http://www.huntresearchgroup.org.uk/teaching/year1_lab_start.html
[21] I. Balan, I. Arsene, and N.N. Gorinchoy, 20 international symposium on the jahn teller, (2010).
[22] A. E. Reed, R. B. Weinstock, and F. Weinhold, J. Chem. Phys., 83, 735 (1985).
[23] J. K. Badenhoop, and F. Weinhold, Int. J. Quantum. Chem., 72, 269 (1999).