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Panchagnula K, Graf D, Johnson ER, Thom AJW. Targeting spectroscopic accuracy for dispersion bound systems from ab initio techniques: Translational eigenstates of Ne@C70. J Chem Phys 2024; 161:054308. [PMID: 39092939 DOI: 10.1063/5.0223298] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/13/2024] [Accepted: 07/17/2024] [Indexed: 08/04/2024] Open
Abstract
We investigate the endofullerene system Ne@C70 by constructing a three-dimensional Potential Energy Surface (PES) describing the translational motion of the Ne atom. This is constructed from electronic structure calculations from a plethora of methods, including MP2, SCS-MP2, SOS-MP2, RPA@PBE, and C(HF)-RPA, which were previously used for He@C60 in Panchagnula et al. [J. Chem. Phys. 160, 104303 (2024)], alongside B86bPBE-25X-XDM and B86bPBE-50X-XDM. The reduction in symmetry moving from C60 to C70 introduces a double well potential along the anisotropic direction, which forms a test of the sensitivity and effectiveness of the electronic structure methods. The nuclear Hamiltonian is diagonalized using a symmetrized double minimum basis set outlined in Panchagnula and Thom [J. Chem. Phys. 159, 164308 (2023)], with translational energies having error bars ±1 and ±2 cm-1. We find no consistency between electronic structure methods as they find a range of barrier heights and minima positions of the double well and different translational eigenspectra, which also differ from the Lennard-Jones (LJ) PES given in Mandziuk and Bačić [J. Chem. Phys. 101, 2126-2140 (1994)]. We find that generating effective LJ parameters for each electronic structure method cannot reproduce the full PES nor recreate the eigenstates, and this suggests that the LJ form of the PES, while simple, may not be best suited to describe these systems. Even though MP2 and RPA@PBE performed best for He@C60, due to the lack of concordance between all electronic structure methods, we require more experimental data in order to properly validate the choice.
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Affiliation(s)
- K Panchagnula
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
| | - D Graf
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
- Department of Chemistry, University of Munich (LMU), Munich, Germany
| | - E R Johnson
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
- Department of Chemistry, Dalhousie University, 6243 Alumni Crescent, Halifax, Nova Scotia B3H 4R2, Canada
| | - A J W Thom
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
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2
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Panchagnula K, Graf D, Albertani FEA, Thom AJW. Translational eigenstates of He@C60 from four-dimensional ab initio potential energy surfaces interpolated using Gaussian process regression. J Chem Phys 2024; 160:104303. [PMID: 38465682 DOI: 10.1063/5.0197903] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/15/2024] [Accepted: 02/22/2024] [Indexed: 03/12/2024] Open
Abstract
We investigate the endofullerene system 3He@C60 with a four-dimensional potential energy surface (PES) to include the three He translational degrees of freedom and C60 cage radius. We compare second order Møller-Plesset perturbation theory (MP2), spin component scaled-MP2, scaled opposite spin-MP2, random phase approximation (RPA)@Perdew, Burke, and Ernzerhof (PBE), and corrected Hartree-Fock-RPA to calibrate and gain confidence in the choice of electronic structure method. Due to the high cost of these calculations, the PES is interpolated using Gaussian Process Regression (GPR), owing to its effectiveness with sparse training data. The PES is split into a two-dimensional radial surface, to which corrections are applied to achieve an overall four-dimensional surface. The nuclear Hamiltonian is diagonalized to generate the in-cage translational/vibrational eigenstates. The degeneracy of the three-dimensional harmonic oscillator energies with principal quantum number n is lifted due to the anharmonicity in the radial potential. The (2l + 1)-fold degeneracy of the angular momentum states is also weakly lifted, due to the angular dependence in the potential. We calculate the fundamental frequency to range between 96 and 110 cm-1 depending on the electronic structure method used. Error bars of the eigenstate energies were calculated from the GPR and are on the order of ∼±1.5 cm-1. Wavefunctions are also compared by considering their overlap and Hellinger distance to the one-dimensional empirical potential. As with the energies, the two ab initio methods MP2 and RPA@PBE show the best agreement. While MP2 has better agreement than RPA@PBE, due to its higher computational efficiency and comparable performance, we recommend RPA as an alternative electronic structure method of choice to MP2 for these systems.
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Affiliation(s)
- K Panchagnula
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
| | - D Graf
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
| | - F E A Albertani
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
| | - A J W Thom
- Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge, United Kingdom
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3
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Moncada F, Quintero W, Posada E, Pettersson LGM, Reyes A. A nuclear configuration interaction approach to study nuclear spin effects: an application to ortho- and para- 3 He 2 @C 60. Chemphyschem 2024; 25:e202300498. [PMID: 38055206 DOI: 10.1002/cphc.202300498] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2023] [Revised: 11/29/2023] [Accepted: 12/01/2023] [Indexed: 12/07/2023]
Abstract
We introduce a non-orthogonal configuration interaction approach to investigate nuclear quantum effects on energies and densities of confined fermionic nuclei. The Hamiltonian employed draws parallels between confined systems and many-electron atoms, where effective non-Coulombic potentials represent the interactions of the trapped particles. One advantage of this method is its generality, as it offers the potential to study the nuclear quantum effects of various confined species affected by effective isotropic or anisotropic potentials. As a first application, we analyze the quantum states of two 3 He atoms encapsulated in C60 . At the Hartree-Fock level, we observe the breaking of spin and spatial symmetries. To ensure wavefunctions with the correct symmetries, we mix the broken-symmetry Hartree-Fock states within the non-orthogonal configuration interaction expansion. Our proposed approach predicts singly and triply degenerate ground states for the singlet (para-3 He2 @C60 ) and triplet (ortho-3 He2 @C60 ) nuclear spin configurations, respectively. The ortho-3 He2 @C60 ground state is 5.69 cm-1 higher in energy than the para-3 He2 @C60 ground state. The nuclear densities obtained for these states exhibit the icosahedral symmetry of the C60 embedding potential. Importantly, our calculated energies for the lowest 85 states are in close agreement with perturbation theory results based on a harmonic oscillator plus rigid rotor model of 3 He2 @C60 .
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Affiliation(s)
- Félix Moncada
- Department of Physics, AlbaNova University Center, Stockholm University, 106 91, Stockholm, Sweden
- Department of Chemistry, Universidad Nacional de Colombia, Av. Cra 30 45-03, Bogotá, Colombia
| | - William Quintero
- Doctorado en Fisicoquímica Molecular, Universidad Andres Bello, Santiago de Chile, Chile
- Department of Chemistry, Universidad Nacional de Colombia, Av. Cra 30 45-03, Bogotá, Colombia
| | - Edwin Posada
- Institute for Computational Molecular Science, Temple University, Philadelphia, PA, USA
- Department of Chemistry, Universidad Nacional de Colombia, Av. Cra 30 45-03, Bogotá, Colombia
| | - Lars G M Pettersson
- Department of Physics, AlbaNova University Center, Stockholm University, 106 91, Stockholm, Sweden
| | - Andrés Reyes
- Department of Chemistry, Universidad Nacional de Colombia, Av. Cra 30 45-03, Bogotá, Colombia
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Krafft MP, Riess JG. About Perfluoropolyhedranes, Their Electron-Accepting Ability and Questionable Supramolecular Hosting Capacity. Angew Chem Int Ed Engl 2023; 62:e202302942. [PMID: 37208990 DOI: 10.1002/anie.202302942] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2023] [Revised: 05/16/2023] [Accepted: 05/17/2023] [Indexed: 05/21/2023]
Abstract
Polyhedral molecules are appealing for their eye-catching architecture and distinctive chemistry. Perfluorination of such, often greatly strained, compounds is a momentous challenge. It drastically changes the electron distribution, structure and properties. Notably, small high-symmetry perfluoropolyhedranes feature a centrally located, star-shaped low-energy unoccupied molecular orbital that can host an extra electron within the polyhedral frame, thus producing a radical anion, without loss of symmetry. This predicted electron-hosting capacity was definitively established for perfluorocubane, the first perfluorinated Platonic polyhedrane to be isolated pure. Hosting atoms, molecules, or ions in such "cage" structures is, however, all but forthright, if not illusionary, offering no easy access to supramolecular constructs. While adamantane and cubane have fostered numerous applications in materials science, medicine, and biology, specific uses for their perfluorinated counterparts remain to be established. Some aspects of highly fluorinated carbon allotropes, such as fullerenes and graphite, are briefly mentioned for context.
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Affiliation(s)
- Marie Pierre Krafft
- Institut Charles Sadron (CNRS), University of Strasbourg, 23 rue du Loess., 67034, Strasbourg Cedex, France
| | - Jean G Riess
- Harangoutte Institute, 68160, Ste-Croix-aux-Mines, France
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Serwatka T, Yim S, Ayotte P, Roy PN. On the nature of the Schottky anomaly in endohedral water. J Chem Phys 2023; 158:124310. [PMID: 37003742 DOI: 10.1063/5.0148882] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/03/2023] Open
Abstract
In this work, we study the heat capacity contribution of a rigid water molecule encapsulated in C60 by performing six-dimensional eigenstate calculations with the inclusion of its quantized rotational and translational degrees of freedom. Two confinement model potentials are considered: in the first, confinement is described using distributed pairwise Lennard-Jones interactions, while in the second, the water molecule is trapped within an eccentric but isotropic 3D harmonic effective confinement potential [Wespiser et al., J. Chem. Phys. 156, 074304 (2022)]. Contributions to the heat capacity from both the ortho and para nuclear spin isomers of water are considered to enable the effects of their interconversion to be assessed. By including a symmetry-breaking quadrupolar potential energy term in the Hamiltonian, we can reproduce the experimentally observed Schottky anomaly at ∼2 K [Suzuki et al., J. Phys. Chem. Lett. 10, 1306 (2019)]. Furthermore, our calculations predict a second Schottky anomaly at ∼0.1 K resulting from the H configuration, a different orientational arrangement of the fullerene cages in crystalline solid C60. Contributions from the H configuration to CV also explain the second peak observed at ∼7 K in the experimentally measured heat capacity.
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Affiliation(s)
- Tobias Serwatka
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - Spencer Yim
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - Patrick Ayotte
- Département de Chimie, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
| | - Pierre-Nicholas Roy
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
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Wang E, Gao Y. H 2 + H 2O → H 4O: Synthesizing Hyperhydrogenated Water in Small-Sized Fullerenes? J Phys Chem A 2023; 127:1190-1195. [PMID: 36696284 DOI: 10.1021/acs.jpca.2c07279] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
Nanoscale confinement provides an ideal platform to rouse some exceptional reactions which cannot happen in the open space. Intuitively, H2 and H2O cannot react. Herein, through utilizing small-sized fullerenes (C24, C26, C28, and C30) as nanoreactors, we demonstrate that a hyperhydrogenated water species, H4O, can be easily formed using H2 and H2O under ambient conditions by ab initio molecular dynamics simulations. The H4O molecule rotates freely in the cavity of the cages and maintains its structure during the simulations. Further theoretical analysis indicates that H4O in the fullerene possesses high stability thermodynamically and chemically, which can be rationalized by the electron transfer between H4O and the fullerene. This work highlights the possibility of utilizing fullerene as a nanoreactor to provide confinement constraints for unexpected chemistry.
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Affiliation(s)
- Endong Wang
- School of Chemistry and Chemical Engineering, Liaoning Normal University, Dalian116029, China
| | - Yi Gao
- Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai201210, China
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Chen A, Benoit DM, Scribano Y, Nauts A, Lauvergnat D. Smolyak Algorithm Adapted to a System-Bath Separation: Application to an Encapsulated Molecule with Large-Amplitude Motions. J Chem Theory Comput 2022; 18:4366-4372. [PMID: 35584357 DOI: 10.1021/acs.jctc.2c00108] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
A Smolyak algorithm adapted to system-bath separation is proposed for rigorous quantum simulations. This technique combines a sparse grid method with the system-bath concept in a specific configuration without limitations on the form of the Hamiltonian, thus achieving a highly efficient convergence of the excitation transitions for the "system" part. Our approach provides a general way to overcome the perennial convergence problem for the standard Smolyak algorithm and enables the simulation of floppy molecules with more than a hundred degrees of freedom. The efficiency of the present method is illustrated on the simulation of H2 caged in an sII clathrate hydrate including two kinds of cage modes. The transition energies are converged by increasing the number of normal modes of water molecules. Our results confirm the triplet splittings of both translational and rotational (j = 1) transitions of the H2 molecule. Furthermore, they show a slight increase of the translational transitions with respect to the ones in a rigid cage.
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Affiliation(s)
- Ahai Chen
- Maison de la Simulation, UVSQ, CNRS, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France.,Institut de Chimie Physique, UMR-CNRS 8000, Université Paris-Saclay, CNRS, 91405 Orsay, France
| | - David M Benoit
- E.A. Milne Centre for Astrophysics, The University of Hull, Cottingham Road, Kingston upon Hull HU6 7RX, U.K
| | - Yohann Scribano
- Laboratoire Univers et Particules de Montpellier, UMR-CNRS 5299, Université de Montpellier, 34095 Montpellier Cedex, France
| | - André Nauts
- Institut de Chimie Physique, UMR-CNRS 8000, Université Paris-Saclay, CNRS, 91405 Orsay, France.,Institute of Condensed Matter and Nanosciences (NAPS), Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
| | - David Lauvergnat
- Institut de Chimie Physique, UMR-CNRS 8000, Université Paris-Saclay, CNRS, 91405 Orsay, France
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Carrillo‐Bohórquez O, Valdés Á, Prosmiti R. Unraveling the Origin of Symmetry Breaking in H 2 O@C 60 Endofullerene Through Quantum Computations. Chemphyschem 2022; 23:e202200034. [PMID: 35289042 PMCID: PMC9311847 DOI: 10.1002/cphc.202200034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/17/2022] [Revised: 02/01/2022] [Indexed: 11/09/2022]
Abstract
We explore the origin of the anomalous splitting of the 101 levels reported experimentally for the H2 O@C60 endofullerene, in order to give some insight about the physical interpretations of the symmetry breaking observed. We performed fully-coupled quantum computations within the multiconfiguration time-dependent Hartree approach employing a rigorous procedure to handle such computationally challenging problems. We introduce two competing physical models, and discuss the observed unconventional quantum patterns in terms of anisotropy in the interfullerene interactions, caused by the change in the off-center position of the encapsulated water molecules inside the cage or the uniaxial C60 -cage distortion, arising from noncovalent bonding upon water's encapsulation, or exohedral fullerene perturbations. Our results show that both scenarios could reproduce the experimentally observed rotational degeneracy pattern, although quantitative agreement with the available experimental rotational levels splitting value has been achieved by the model that considers an uniaxial elongation of the C60 -cage. Such finding supports that the observed symmetry breaking could be mainly caused by the distortion of the fullerene cage. However, as nuclear quantum treatments rely on the underlying interactions, a decisive conclusion hinges on the availability of their improved description, taken into account both endofullerene and exohedral environments, from forthcoming highly demanding electronic structure many-body interaction studies.
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Affiliation(s)
- Orlando Carrillo‐Bohórquez
- Institute of Fundamental Physics (IFF-CSIC), CSICSerrano 12328006MadridSpain
- Departamento de FísicaUniversidad Nacional de ColombiaCalle 26, Cra 39, Edificio 404BogotáColombia
| | - Álvaro Valdés
- Escuela de FísicaUniversidad Nacional de ColombiaSede Medellín, A. A. 3840MedellínColombia
| | - Rita Prosmiti
- Institute of Fundamental Physics (IFF-CSIC), CSICSerrano 12328006MadridSpain
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Pizzagalli L. First principles molecular dynamics calculations of the mechanical properties of endofullerenes containing noble gas atoms or small molecules. Phys Chem Chem Phys 2022; 24:9449-9458. [PMID: 35388848 DOI: 10.1039/d2cp00622g] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The mechanical properties of endofullerenes have been investigated by performing compression tests using finite temperature first principles molecular dynamics calculations. We considered various X@C60 systems, with X a single noble gas atom (He, Ne, Ar, Kr, or Xe), small molecules (H2O, CH4), or small helium clusters. In the absence of compression, it is observed that there is no or at best a negligible effect of X on the properties of C60. The compression simulations revealed several original findings. First, the influence of X on the stiffness of X@C60 can be quantified, although it is at most 12% for the studied cases. Next, both energy and contact force variations as a function of strain are demonstrated to depend on X. However, this is not the case for the yield strain and for the failure mechanism of the C60 shell. Finally, it is shown that the X@C60 compression could bring X to be in a high stress state. In the specific cases of H2O and CH4 molecules, a mechanism of stress assisted dissociation is observed.
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Affiliation(s)
- Laurent Pizzagalli
- Institut P', CNRS UPR 3346, Université de Poitiers, SP2MI, Boulevard Marie et Pierre Curie, TSA 41123, 86073 Poitiers Cedex 9, France.
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Hauser AW, Pototschnig JV. Vibronic Coupling in Spherically Encapsulated, Diatomic Molecules: Prediction of a Renner-Teller-like Effect for Endofullerenes. J Phys Chem A 2022; 126:1674-1680. [PMID: 35258966 PMCID: PMC8935370 DOI: 10.1021/acs.jpca.1c10970] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
![]()
In the year 1933,
Herzberg and Teller realized that the potential
energy surface of a triatomic, linear molecule splits into two as
soon as the molecule is bent. The phenomenon, later dubbed the Renner–Teller
effect due to the detailed follow-up work of Renner on the subject,
describes the coupling of a symmetry-reducing molecular vibration
with degenerate electronic states. In this article, we show that a
very similar type of nonadiabatic coupling can occur for certain translational
degrees of freedom of diatomic, electronically degenerate molecules
when trapped in a nearly spherical or cylindrical quantum confinement,
e.g., realized through electromagnetic fields or molecular encapsulation.
We illustrate this on the example of fullerene-encapsulated nitric
oxide, and provide a prediction of its interesting, perturbed vibronic
spectrum.
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Affiliation(s)
- Andreas W Hauser
- Institute of Experimental Physics, Graz University of Technology, Petersgasse 16, 8010 Graz, Austria
| | - Johann V Pototschnig
- Institute of Experimental Physics, Graz University of Technology, Petersgasse 16, 8010 Graz, Austria
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Wespiser C, Putaud T, Kalugina YN, Soldera A, Roy PN, Michaut X, Ayotte P. Ro-translational dynamics of confined water: I - The confined asymmetric rotor model. J Chem Phys 2022; 156:074304. [DOI: 10.1063/5.0079565] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Thomas Putaud
- Universite de Sherbrooke Departement de chimie, Canada
| | | | - Armand Soldera
- Department of Chemistry, Universite de Sherbrooke, Canada
| | - Pierre-Nicholas Roy
- Department of Chemistry, University of Waterloo Department of Chemistry, Canada
| | | | - Patrick Ayotte
- Département de Chimie, Universite de Sherbrooke Departement de chimie, Canada
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12
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Dolgonos GA. Exploring the Properties of H
2
O@C
60
with the Local Second‐Order Møller‐Plesset Perturbation Theory: Blue or Red Shift in C
60
and H
2
O Fundamentals to Expect? ChemistrySelect 2021. [DOI: 10.1002/slct.202103004] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Grygoriy A. Dolgonos
- Institute of Chemistry University of Graz Heinrichstrasse 28/IV A-8010 Graz Austria
- Life Chemicals Inc. Murmanska Str. 5 02660 Kyiv Ukraine
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