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Goli M, Shahbazian S. Two-component density functional theory for muonic molecules: Inclusion of the electron–positive muon correlation functional. J Chem Phys 2022; 156:044104. [DOI: 10.1063/5.0077179] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Mohammad Goli
- School of Nano Science, Institute for Research in Fundamental Sciences (IPM), Tehran 19395-5531, Iran
| | - Shant Shahbazian
- Department of Physics, Shahid Beheshti University, Evin, Tehran, Iran
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Goli M, Shahbazian S. Developing effective electronic-only coupled-cluster and Møller-Plesset perturbation theories for the muonic molecules. Phys Chem Chem Phys 2018; 20:16749-16760. [PMID: 29881845 DOI: 10.1039/c8cp02489h] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Recently we have proposed an effective Hartree-Fock (EHF) theory for the electrons of the muonic molecules that is formally equivalent to the HF theory within the context of the nuclear-electronic orbital theory [Phys. Chem. Chem. Phys., 2018, 20, 4466]. In the present report we extend the muon-specific effective electronic structure theory beyond the EHF level by introducing the effective second order Møller-Plesset perturbation theory (EMP2) and the effective coupled-cluster theory at single and double excitation levels (ECCSD) as well as an improved version including perturbative triple excitations (ECCSD(T)). These theories incorporate electron-electron correlation into the effective paradigm and through their computational implementation, a diverse set of small muonic species is considered as a benchmark at these post-EHF levels. A comparative computational study on this set demonstrates that the muonic bond length is in general non-negligibly longer than corresponding hydrogenic analogs. Next, the developed post-EHF theories are applied for the muoniated N-heterocyclic carbene/silylene/germylene and the muoniated triazolium cation revealing the relative stability of the sticking sites of the muon in each species. The computational results, in line with previously reported experimental data demonstrate that the muon generally prefers to attach to the divalent atom with carbeneic nature. A detailed comparison of these muonic adducts with the corresponding hydrogenic adducts reveals subtle differences that have already been overlooked.
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Affiliation(s)
- Mohammad Goli
- School of Nano Science, Institute for Research in Fundamental Sciences (IPM), 19395-5531, Tehran, Iran.
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Rayka M, Goli M, Shahbazian S. Effective electronic-only Kohn-Sham equations for the muonic molecules. Phys Chem Chem Phys 2018. [PMID: 29542771 DOI: 10.1039/c8cp00321a] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
A set of effective electronic-only Kohn-Sham (EKS) equations are derived for the muonic molecules (containing a positively charged muon), which are completely equivalent to the coupled electronic-muonic Kohn-Sham equations derived previously within the framework of the nuclear-electronic orbital density functional theory (NEO-DFT). The EKS equations contain effective non-coulombic external potentials depending on parameters describing the muon's vibration, which are optimized during the solution of the EKS equations making the muon's KS orbital reproducible. It is demonstrated that the EKS equations are derivable from a certain class of effective electronic Hamiltonians through applying the usual Hohenberg-Kohn theorems revealing a "duality" between the NEO-DFT and the effective electronic-only DFT methodologies. The EKS equations are computationally applied to a small set of muoniated organic radicals and it is demonstrated that a mean effective potential may be derived for this class of muonic species while an electronic basis set is also designed for the muon. These computational ingredients are then applied to muoniated ferrocenyl radicals, which had been previously detected experimentally through adding a muonium atom to ferrocene. In line with previous computational studies, from the six possible species, the staggered conformer, where the muon is attached to the exo position of the cyclopentadienyl ring, is deduced to be the most stable ferrocenyl radical.
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Affiliation(s)
- Milad Rayka
- Department of Physics and Department of Physical and Computational Chemistry, Shahid Beheshti University, G. C., Evin, P.O. Box 19395-4716, Tehran, 19839, Iran.
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Rayka M, Goli M, Shahbazian S. Toward a muon-specific electronic structure theory: effective electronic Hartree-Fock equations for muonic molecules. Phys Chem Chem Phys 2018; 20:4466-4477. [PMID: 29372727 DOI: 10.1039/c7cp07599e] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
An effective set of Hartree-Fock (HF) equations are derived for electrons of muonic systems, i.e., molecules containing a positively charged muon, conceiving the muon as a quantum oscillator, which are completely equivalent to the usual two-component HF equations used to derive stationary states of the muonic molecules. In these effective equations, a non-Coulombic potential is added to the orthodox coulomb and exchange potential energy terms, which describes the interaction of the muon and the electrons effectively and is optimized during the self-consistent field cycles. While in the two-component HF equations a muon is treated as a quantum particle, in the effective HF equations it is absorbed into the effective potential and practically transformed into an effective potential field experienced by electrons. The explicit form of the effective potential depends on the nature of muon's vibrations and is derivable from the basis set used to expand the muonic spatial orbital. The resulting effective Hartree-Fock equations are implemented computationally and used successfully, as a proof of concept, in a series of muonic molecules containing all atoms from the second and third rows of the Periodic Table. To solve the algebraic version of the equations muon-specific Gaussian basis sets are designed for both muon and surrounding electrons and it is demonstrated that the optimized exponents are quite distinct from those derived for the hydrogen isotopes. The developed effective HF theory is quite general and in principle can be used for any muonic system while it is the starting point for a general effective electronic structure theory that incorporates various types of quantum correlations into the muonic systems beyond the HF equations.
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Affiliation(s)
- Milad Rayka
- Department of Physics and Department of Physical and Computational Chemistry, Shahid Beheshti University, G. C., Evin, P.O. Box 19395-4716, Tehran, 19839, Iran.
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Wright JA, Peck JNT, Cottrell SP, Jablonskytė A, Oganesyan VS, Pickett CJ, Jayasooriya UA. Muonium Chemistry at Diiron Subsite Analogues of [FeFe]-Hydrogenase. Angew Chem Int Ed Engl 2016. [DOI: 10.1002/ange.201607109] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Joseph A. Wright
- Energy Materials Laboratory; School of Chemistry; University of East Anglia; Norwich NR4 7TJ UK
| | - Jamie N. T. Peck
- Energy Materials Laboratory; School of Chemistry; University of East Anglia; Norwich NR4 7TJ UK
- Rutherford Appleton Laboratory; Harwell Oxford Didcot OX11 0QX UK
| | | | - Aušra Jablonskytė
- Energy Materials Laboratory; School of Chemistry; University of East Anglia; Norwich NR4 7TJ UK
| | - Vasily S. Oganesyan
- Energy Materials Laboratory; School of Chemistry; University of East Anglia; Norwich NR4 7TJ UK
| | - Christopher J. Pickett
- Energy Materials Laboratory; School of Chemistry; University of East Anglia; Norwich NR4 7TJ UK
| | - Upali A. Jayasooriya
- Energy Materials Laboratory; School of Chemistry; University of East Anglia; Norwich NR4 7TJ UK
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Wright JA, Peck JNT, Cottrell SP, Jablonskytė A, Oganesyan VS, Pickett CJ, Jayasooriya UA. Muonium Chemistry at Diiron Subsite Analogues of [FeFe]-Hydrogenase. Angew Chem Int Ed Engl 2016; 55:14580-14583. [PMID: 27739628 PMCID: PMC5484327 DOI: 10.1002/anie.201607109] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2016] [Indexed: 11/29/2022]
Abstract
The chemistry of metal hydrides is implicated in a range of catalytic processes at metal centers. Gaining insight into the formation of such sites by protonation and/or electronation is therefore of significant value in fully exploiting the potential of such systems. Here, we show that the muonium radical (Mu.), used as a low isotopic mass analogue of hydrogen, can be exploited to probe the early stages of hydride formation at metal centers. Mu. undergoes the same chemical reactions as H. and can be directly observed due to its short lifetime (in the microseconds) and unique breakdown signature. By implanting Mu. into three models of the [FeFe]‐hydrogenase active site we have been able to detect key muoniated intermediates of direct relevance to the hydride chemistry of these systems.
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Affiliation(s)
- Joseph A Wright
- Energy Materials Laboratory, School of Chemistry, University of East Anglia, Norwich, NR4 7TJ, UK
| | - Jamie N T Peck
- Energy Materials Laboratory, School of Chemistry, University of East Anglia, Norwich, NR4 7TJ, UK.,Rutherford Appleton Laboratory, Harwell Oxford, Didcot, OX11 0QX, UK
| | | | - Aušra Jablonskytė
- Energy Materials Laboratory, School of Chemistry, University of East Anglia, Norwich, NR4 7TJ, UK
| | - Vasily S Oganesyan
- Energy Materials Laboratory, School of Chemistry, University of East Anglia, Norwich, NR4 7TJ, UK
| | - Christopher J Pickett
- Energy Materials Laboratory, School of Chemistry, University of East Anglia, Norwich, NR4 7TJ, UK
| | - Upali A Jayasooriya
- Energy Materials Laboratory, School of Chemistry, University of East Anglia, Norwich, NR4 7TJ, UK
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Goli M, Shahbazian S. Muon-Substituted Malonaldehyde: Transforming a Transition State into a Stable Structure by Isotope Substitution. Chemistry 2016; 22:2525-31. [PMID: 26749489 DOI: 10.1002/chem.201504318] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2015] [Indexed: 12/25/2022]
Abstract
Isotope substitutions are usually conceived to play a marginal role on the structure and bonding pattern of molecules. However, a recent study [Angew. Chem. Int. Ed. 2014, 53, 13706-13709; Angew. Chem. 2014, 126, 13925-13929] further demonstrates that upon replacing a proton with a positively charged muon, as the lightest radioisotope of hydrogen, radical changes in the nature of the structure and bonding of certain species may take place. The present report is a primary attempt to introduce another example of structural transformation on the basis of the malonaldehyde system. Accordingly, upon replacing the proton between the two oxygen atoms of malonaldehyde with the positively charged muon a serious structural transformation is observed. By using the ab initio nuclear-electronic orbital non-Born-Oppenheimer procedure, the nuclear configuration of the muon-substituted species is derived. The resulting nuclear configuration is much more similar to the transition state of the proton transfer in malonaldehyde rather than to the stable configuration of malonaldehyde. The comparison of the "atoms in molecules" (AIM) structure of the muon-substituted malonaldehyde and the AIM structure of the stable and the transition-state configurations of malonaldehyde also unequivocally demonstrates substantial similarities of the muon-substituted malonaldehyde to the transition state.
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Affiliation(s)
- Mohammad Goli
- Faculty of Chemistry, Shahid Beheshti University, G. C., Evin, P.O. Box 19395-4716, Tehran, 19839, Iran), Fax
| | - Shant Shahbazian
- Faculty of Chemistry, Shahid Beheshti University, G. C., Evin, P.O. Box 19395-4716, Tehran, 19839, Iran), Fax.
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Samedov K, West R, Percival PW, Brodovitch JC, Chandrasena L, Mozafari M, Tacke R, Junold K, Kobelt C, Samuel PP, Azhakar R, Mondal KC, Roesky HW, Driess M, Wang W. Free Radicals of N-Donor-Stabilized Silicon(II) Compounds Probed by Muon Spin Spectroscopy. Organometallics 2015. [DOI: 10.1021/acs.organomet.5b00324] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Kerim Samedov
- Organosilicon
Research Center, University of Wisconsin—Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States
| | - Robert West
- Organosilicon
Research Center, University of Wisconsin—Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States
| | - Paul W. Percival
- Department
of Chemistry and TRIUMF, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
| | - Jean-Claude Brodovitch
- Department
of Chemistry and TRIUMF, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
| | - Lalangi Chandrasena
- Department
of Chemistry and TRIUMF, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
| | - Mina Mozafari
- Department
of Chemistry and TRIUMF, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
| | - Reinhold Tacke
- Universität Würzburg, Institut für Anorganische
Chemie, Am Hubland, 97074 Würzburg, Germany
| | - Konstantin Junold
- Universität Würzburg, Institut für Anorganische
Chemie, Am Hubland, 97074 Würzburg, Germany
| | - Claudia Kobelt
- Universität Würzburg, Institut für Anorganische
Chemie, Am Hubland, 97074 Würzburg, Germany
| | - Prinson P. Samuel
- Institut
für Anorganische Chemie der Universität Göttingen, Tammannstrasse
4, 37077 Göttingen, Germany
| | - Ramachandran Azhakar
- Institut
für Anorganische Chemie der Universität Göttingen, Tammannstrasse
4, 37077 Göttingen, Germany
| | - Kartik Chandra Mondal
- Institut
für Anorganische Chemie der Universität Göttingen, Tammannstrasse
4, 37077 Göttingen, Germany
| | - Herbert W. Roesky
- Institut
für Anorganische Chemie der Universität Göttingen, Tammannstrasse
4, 37077 Göttingen, Germany
| | - Matthias Driess
- Institute
of Chemistry: Metalorganics and Inorganic Materials, Technische Universität Berlin, Strasse des 17. Juni 135, Sekr. C2, D-10623 Berlin, Germany
| | - Wenyuan Wang
- Institute
of Chemistry: Metalorganics and Inorganic Materials, Technische Universität Berlin, Strasse des 17. Juni 135, Sekr. C2, D-10623 Berlin, Germany
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Goli M, Shahbazian S. Where to place the positive muon in the Periodic Table? Phys Chem Chem Phys 2015; 17:7023-37. [PMID: 25684734 DOI: 10.1039/c4cp06006g] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In a recent study it was suggested that the positively charged muon is capable of forming its own "atoms in molecules" (AIM) in the muonic hydrogen-like molecules, composed of two electrons, a muon and one of the hydrogen's isotopes, thus deserves to be placed in the Periodic Table [Phys. Chem. Chem. Phys., 2014, 16, 6602]. In the present report, the capacity of the positively charged muon in forming its own AIM is considered in a large set of molecules replacing muons with all protons in the hydrides of the second and third rows of the Periodic Table. Accordingly, in a comparative study the wavefunctions of both sets of hydrides and their muonic congeners are first derived beyond the Born-Oppenheimer (BO) paradigm, assuming protons and muons as quantum waves instead of clamped particles. Then, the non-BO wavefunctions are used to derive the AIM structures of both hydrides and muonic congeners within the context of the multi-component quantum theory of atoms in molecules. The results of the analysis demonstrate that muons are generally capable of forming their own atomic basins and the properties of these basins are not fundamentally different from those AIM containing protons. Particularly, the bonding modes in the muonic species seem to be qualitatively similar to their congener hydrides and no new bonding model is required to describe the bonding of muons to a diverse set of neighboring atoms. All in all, the positively charged muon is similar to a proton from the structural and bonding viewpoint and deserves to be placed in the same box of hydrogen in the Periodic Table. This conclusion is in line with a large body of studies on the chemical kinetics of the muonic molecules portraying the positively charged muon as a lighter isotope of hydrogen.
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Affiliation(s)
- Mohammad Goli
- Faculty of Chemistry, Shahid Beheshti University, G. C., Evin, P.O. Box 19395-4716, Tehran, 19839, Iran.
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McKenzie I. Muon spin spectroscopy of ferrocene: characterization of muoniated ferrocenyl radicals. Phys Chem Chem Phys 2014; 16:10600-6. [PMID: 24740122 DOI: 10.1039/c4cp00618f] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Iain McKenzie
- Centre for Molecular and Materials Science, TRIUMF, 4004 Wesbrook Mall, Vancouver, B.C., Canada.
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McKenzie I. The positive muon and μSR spectroscopy: powerful tools for investigating the structure and dynamics of free radicals and spin probes in complex systems. ACTA ACUST UNITED AC 2013. [DOI: 10.1039/c3pc90005c] [Citation(s) in RCA: 55] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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West R, Percival PW. Organosilicon compounds meet subatomic physics: Muon spin resonance. Dalton Trans 2010; 39:9209-16. [DOI: 10.1039/c0dt00188k] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
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Garcia Y, Campbell SJ, Lord JS, Boland Y, Ksenofontov V, Gütlich P. Dynamics and Supramolecular Organization of the 1D Spin Transition Polymeric Chain Compound [Fe(NH2trz)3](NO3)2. Muon Spin Relaxation. J Phys Chem B 2007; 111:11111-9. [PMID: 17727282 DOI: 10.1021/jp072399k] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The thermal spin transition that occurs in the polymeric chain compound [Fe(NH(2)trz)3](NO3)2 above room temperature has been investigated by zero-field muon spin relaxation (microSR) over the temperature range approximately 8-402 K. The depolarization curves are best described by a Lorentzian and a Gaussian line that represent fast and slow components, respectively. The spin transition is associated with a hysteresis loop of width DeltaT = 34 K (T1/2 upward arrow = 346 K and T1/2 downward arrow = 312 K) that has been delineated by the temperature variation of the initial asymmetry parameter, in good agreement with previously published magnetic measurements. Zero-field and applied field (20-2000 Oe) microSR measurements show the presence of diamagnetic muon species and paramagnetic muonium radical species (A = 753 +/- 77 MHz) over the entire temperature range. Fast dynamics have been revealed in the high-spin state of [Fe(NH(2)trz)3](NO3)2 with the presence of a Gaussian relaxation mode that is mostly due to the dipolar interaction with static nuclear moments. This situation, where the muonium radicals are totally decoupled and not able to sense paramagnetic fluctuations, implies that the high-spin dynamics fall outside the muon time scale. Insights to the origin of the cooperative effects associated with the spin transition of [Fe(NH(2)trz)3](NO3)2 through muon implantation are presented.
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Affiliation(s)
- Yann Garcia
- Unité de Chimie des Matériaux Inorganiques et Organiques, Département de Chimie, Faculté des Sciences, Université Catholique de Louvain, Place Louis Pasteur 1, 1348 Louvain-la-Neuve, Belgium.
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