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Mandelli G, Aieta C, Ceotto M. Heavy Atom Tunneling in Organic Reactions at Coupled Cluster Potential Accuracy with a Parallel Implementation of Anharmonic Constant Calculations and Semiclassical Transition State Theory. J Chem Theory Comput 2022; 18:623-637. [PMID: 34995057 PMCID: PMC8830048 DOI: 10.1021/acs.jctc.1c01143] [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: 02/02/2023]
Abstract
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We describe and test
on some organic reactions a parallel implementation
strategy to compute anharmonic constants, which are employed in semiclassical
transition state theory reaction rate calculations. Our software can
interface with any quantum chemistry code capable of a single point
energy estimate, and it is suitable for both minimum and transition
state geometry calculations. After testing the accuracy and comparing
the efficiency of our implementation against other software, we use
it to estimate the semiclassical transition state theory (SCTST) rate
constant of three reactions of increasing dimensionality, known as
examples of heavy atom tunneling. We show how our method is improved
in efficiency with respect to other existing implementations. In conclusion,
our approach allows SCTST rates and heavy atom tunneling at a high
level of electronic structure theory (up to CCSD(T)) to be evaluated.
This work shows how crucial the possibility to perform high level
ab initio rate evaluations can be.
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Affiliation(s)
- Giacomo Mandelli
- Dipartimento di Chimica, Università degli Studi di Milano, via C. Golgi 19, 20133 Milano, Italy
| | - Chiara Aieta
- Dipartimento di Chimica, Università degli Studi di Milano, via C. Golgi 19, 20133 Milano, Italy
| | - Michele Ceotto
- Dipartimento di Chimica, Università degli Studi di Milano, via C. Golgi 19, 20133 Milano, Italy
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2
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Rehman F, Memon FH, Bhatti Z, Iqbal M, Soomro F, Ali A, Thebo KH. Graphene-based composite membranes for isotope separation: challenges and opportunities. REV INORG CHEM 2021. [DOI: 10.1515/revic-2021-0035] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
Abstract
Graphene-based membranes have got significant attention in wastewater treatment, desalination, gas separation, pervaporation, fuel cell, energy storage applications due to their supreme properties. Recently, studies have confirmed that graphene based membranes can also use for separation of isotope due to their ideal thickness, large surface area, good affinity, 2D structure etc. Herein, we review the latest groundbreaking progresses in both theoretically and experimentally chemical science and engineering of both nanoporous and lamellar graphene-based membrane for separation of different isotopes. Especially focus will be given on the current issues, engineering hurdles, and limitations of membranes designed for isotope separation. Finally, we offer our experiences on how to overcome these issues, and present an ideas for future improvement and research directions. We hope, this article is provide a timely knowledge and information to scientific communities, and those who are already working in this direction.
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Affiliation(s)
- Faisal Rehman
- Department of Mechatronics Engineering , College of EME, National University of Sciences and Technology (NUST) , Peshawar Road , Rawalpindi , Pakistan
| | - Fida Hussain Memon
- Department of Electrical Engineering , Sukkur IBA University , Sindh , Pakistan
| | - Zubeda Bhatti
- Department of Physics and Electronics , Shah Abdul Latif University , Khairpur Mirs , 66020 , Pakistan
| | - Muzaffar Iqbal
- Department of Chemistry , Faculty of Natural Science, The University of Haripur KPK , Haripur , 22620 , Pakistan
| | - Faheeda Soomro
- Department of Linguistics and Human Sciences , Begum Nusrat Bhutto Women University , Sukkur Sindh Pakistan
| | - Akbar Ali
- Department of Molecular Engineering , Faculty of Process and Environmental Engineering, Lodz University of Technology , Lodz , Poland
| | - Khalid Hussain Thebo
- Institute of Metal Research, Chinese Academy of Sciences (UCAS) , Shenyang , China
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3
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Bhowmick S, Hernández MI, Campos-Martínez J, Suleimanov YV. Isotopic separation of helium through graphyne membranes: a ring polymer molecular dynamics study. Phys Chem Chem Phys 2021; 23:18547-18557. [PMID: 34612392 DOI: 10.1039/d1cp02121d] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Microscopic-level understanding of the separation mechanism for two-dimensional (2D) membranes is an active area of research due to potential implications of this class of membranes for various technological processes. Helium (He) purification from the natural resources is of particular interest due to the shortfall in its production. In this work, we applied the ring polymer molecular dynamics (RPMD) method to graphdiyne (Gr2) and graphtriyne (Gr3) 2D membranes having variable pore sizes for the separation of He isotopes, and compare for the first time with rigorous quantum calculations. We found that the transmission rate through Gr3 is many orders of magnitude greater than Gr2. The selectivity of either isotope at low temperatures is a consequence of a delicate balance between the zero-point energy effect and tunneling of 4He and 3He. In particular, a remarkable tunneling effect is reported on the Gr2 membrane at 10 K, leading to a much larger permeation of the lighter species as compared to the heavier isotope. RPMD provides an efficient approach for studying the separation of He isotopes, taking into account quantum effects of light nuclei motions at low temperatures, which classical methods fail to capture.
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Affiliation(s)
- Somnath Bhowmick
- Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Konstantinou Kavafi Street, Nicosia 2121, Cyprus.
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4
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Hernández MI, Bartolomei M, Campos-Martínez J. Helium Isotopes Quantum Sieving through Graphtriyne Membranes. NANOMATERIALS (BASEL, SWITZERLAND) 2020; 11:E73. [PMID: 33396322 PMCID: PMC7824700 DOI: 10.3390/nano11010073] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/27/2020] [Revised: 12/23/2020] [Accepted: 12/26/2020] [Indexed: 11/24/2022]
Abstract
We report accurate quantum calculations of the sieving of Helium atoms by two-dimensional (2D) graphtriyne layers with a new interaction potential. Thermal rate constants and permeances in an ample temperature range are computed and compared for both Helium isotopes. With a pore larger than graphdiyne, the most common member of the γ-graphyne family, it could be expected that the appearance of quantum effects were more limited. We find, however, a strong quantum behavior that can be attributed to the presence of selective adsorption resonances, with a pronounced effect in the low temperature regime. This effect leads to the appearance of some selectivity at very low temperatures and the possibility for the heavier isotope to cross the membrane more efficiently than the lighter, contrarily to what happened with graphdiyne membranes, where the sieving at low energy is predominantly ruled by quantum tunneling. The use of more approximate methods could be not advisable in these situations and prototypical transition state theory treatments might lead to large errors.
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Affiliation(s)
| | | | - José Campos-Martínez
- Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas (IFF-CSIC) Serrano 123, 28006 Madrid, Spain; (M.I.H.); (M.B.)
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5
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Dhali R, John C, Swathi RS. Quantum Transmission of He Isotopes through Crown Ether-Embedded Graphene Nanomeshes: An Eckart Potential Approach. J Phys Chem A 2019; 123:7499-7506. [DOI: 10.1021/acs.jpca.9b06677] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Rama Dhali
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Thiruvananthapuram, 695551 Kerala, India
| | - Chris John
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Thiruvananthapuram, 695551 Kerala, India
| | - Rotti Srinivasamurthy Swathi
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Thiruvananthapuram, 695551 Kerala, India
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6
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Kim JY, Oh H, Moon HR. Hydrogen Isotope Separation in Confined Nanospaces: Carbons, Zeolites, Metal-Organic Frameworks, and Covalent Organic Frameworks. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2019; 31:e1805293. [PMID: 30589123 DOI: 10.1002/adma.201805293] [Citation(s) in RCA: 41] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/13/2018] [Revised: 10/12/2018] [Indexed: 06/09/2023]
Abstract
One of the greatest challenges of modern separation technology is separating isotope mixtures in high purity. The separation of hydrogen isotopes can create immense economic value by producing valuable deuterium (D) and tritium (T), which are irreplaceable for various industrial and scientific applications. However, current separation methods suffer from low separation efficiency owing to the similar chemical properties of isotopes; thus, high-purity isotopes are not easily achieved. Recently, nanoporous materials have been proposed as promising candidates and are supported by a newly proposed separation mechanism, i.e., quantum effects. Herein, the fundamentals of the quantum sieving effect of hydrogen isotopes in nanoporous materials are discussed, which are mainly kinetic quantum sieving and chemical-affinity quantum sieving, including the recent advances in the analytical techniques. As examples of nanoporous materials, carbons, zeolites, metal-organic frameworks, and covalent organic frameworks are addressed from computational and experimental standpoints. Understanding the quantum sieving effect in nanospaces and the tailoring of porous materials based on it will open up new opportunities to develop a highly efficient and advanced isotope separation systems.
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Affiliation(s)
- Jin Yeong Kim
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, 44919, Republic of Korea
| | - Hyunchul Oh
- Department of Energy Engineering, Gyeongnam National University of Science and Technology, Jinju, 52725, Republic of Korea
| | - Hoi Ri Moon
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, 44919, Republic of Korea
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7
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McMurtry GM, DeLuze JR, Hilton DR, Blessing JE. Differential Diffusion of Helium Isotopes in Glass, Quantum-tunneling 3He Enrichment, and Portable 3He/ 4He Monitoring of Mantle Processes. Sci Rep 2019; 9:5213. [PMID: 30914664 PMCID: PMC6435696 DOI: 10.1038/s41598-019-41360-5] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/05/2018] [Accepted: 03/04/2019] [Indexed: 11/09/2022] Open
Abstract
While studying the scientific and engineering aspects of a field-portable 3He/4He ratio detector, we found elevated ratios at comparatively lower temperatures that appear to result from differential diffusion of these isotopes in pure quartz glass. The 3He enrichment relative to 4He in lab air, expressed as the ratio R and normalized to the accepted 3He/4He ratio of 1.40 E-06 (Ra), ranges from peak values of about 200 to 600 in dry static samples. Even at the maximum classical 3He/4He diffusivity ratio of 1.15, the expected R would be only 1.61 E-06. Within a narrow temperature window, the air value in our experimental set up with pure quartz glass can range from about 2.70 to 8.20 E-04, or nearly 1000 times the expected enrichment based upon classical fractionation. When plotted versus temperature, the narrow 3He net partial pressure peak reveals at least three sharper embedded peaks that may be quantized vibrational entrance states in quartz glass which are temperature specific. This discovery has implications for relatively low-energy industrial enrichment of scarce 3He from natural sources on Earth, and for radiogenic and cosmogenic helium dating assumptions in natural glasses. It also has bearing upon designs for field portable 3He/4He ratio detectors aimed at earthquake and volcanic eruption studies, and monitoring of nuclear sites.
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Affiliation(s)
- Gary M McMurtry
- Department of Oceanography, School of Ocean and Earth Science and Technology, University of Hawaii, Manoa, Honolulu, HI, 96822, USA.
| | - James R DeLuze
- Fusion Energy Solutions of Hawaii, 611 University Avenue, Apt. 301, Honolulu, HI, 96826, USA
| | - David R Hilton
- Scripps Institution of Oceanography, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0244, USA
| | - James E Blessing
- MKS Instruments, Inc., Mass Spectrometry Solutions, 3635 Peterson Way, Santa Clara, CA, 95054, USA
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9
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Owais C, James A, John C, Dhali R, Swathi RS. Selective Permeation through One-Atom-Thick Nanoporous Carbon Membranes: Theory Reveals Excellent Design Strategies! J Phys Chem B 2018; 122:5127-5146. [DOI: 10.1021/acs.jpcb.8b01117] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
Affiliation(s)
- Cheriyacheruvakkara Owais
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Vithura, Thiruvananthapuram 695551, India
| | - Anto James
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Vithura, Thiruvananthapuram 695551, India
| | - Chris John
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Vithura, Thiruvananthapuram 695551, India
| | - Rama Dhali
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Vithura, Thiruvananthapuram 695551, India
| | - Rotti Srinivasamurthy Swathi
- School of Chemistry, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Vithura, Thiruvananthapuram 695551, India
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10
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Buchholz M, Grossmann F, Ceotto M. Simplified approach to the mixed time-averaging semiclassical initial value representation for the calculation of dense vibrational spectra. J Chem Phys 2018; 148:114107. [DOI: 10.1063/1.5020144] [Citation(s) in RCA: 31] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Max Buchholz
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
| | - Frank Grossmann
- Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
| | - Michele Ceotto
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
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11
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Yao B, Mandrà S, Curry JO, Shaikhutdinov S, Freund HJ, Schrier J. Gas Separation through Bilayer Silica, the Thinnest Possible Silica Membrane. ACS APPLIED MATERIALS & INTERFACES 2017; 9:43061-43071. [PMID: 29156127 DOI: 10.1021/acsami.7b13302] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Membrane-based gas separation processes can address key challenges in energy and environment, but for many applications the permeance and selectivity of bulk membranes is insufficient for economical use. Theory and experiment indicate that permeance and selectivity can be increased by using two-dimensional materials with subnanometer pores as membranes. Motivated by experiments showing selective permeation of H2/CO mixtures through amorphous silica bilayers, here we perform a theoretical study of gas separation through silica bilayers. Using density functional theory calculations, we obtain geometries of crystalline free-standing silica bilayers (comprised of six-membered rings), as well as the seven-, eight-, and nine-membered rings that are observed in glassy silica bilayers, which arise due to Stone-Wales defects and vacancies. We then compute the potential energy barriers for gas passage through these various pore types for He, Ne, Ar, Kr, H2, N2, CO, and CO2 gases, and use the data to assess their capability for selective gas separation. Our calculations indicate that crystalline bilayer silica, which is less than a nanometer thick, can be a high-selectivity and high-permeance membrane material for 3He/4He, He/natural gas, and H2/CO separations.
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Affiliation(s)
- Bowen Yao
- Department of Chemistry, Haverford College , 370 Lancaster Avenue, Haverford, Pennsylvania 19041, United States
| | - Salvatore Mandrà
- Quantum Artificial Intelligence Laboratory (QuAIL), Mail Stop 269-1, NASA Ames Research Center , Moffett Field, California 94035, United States
- Stinger Ghaffarian Technologies Inc. , 7701 Greenbelt Road, Suite 400, Greenbelt, Maryland 20770, United States
| | - John O Curry
- Department of Chemistry, Haverford College , 370 Lancaster Avenue, Haverford, Pennsylvania 19041, United States
| | - Shamil Shaikhutdinov
- Department of Chemical Physics, Fritz Haber Institute , Faradayweg 4-6, Berlin 14195, Germany
| | - Hans-Joachim Freund
- Department of Chemical Physics, Fritz Haber Institute , Faradayweg 4-6, Berlin 14195, Germany
| | - Joshua Schrier
- Department of Chemistry, Haverford College , 370 Lancaster Avenue, Haverford, Pennsylvania 19041, United States
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12
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Aieta C, Ceotto M. A quantum method for thermal rate constant calculations from stationary phase approximation of the thermal flux-flux correlation function integral. J Chem Phys 2017; 146:214115. [DOI: 10.1063/1.4984099] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Chiara Aieta
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
| | - Michele Ceotto
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
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13
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Qu Y, Li F, Zhao M. Efficient 3He/4He separation in a nanoporous graphenylene membrane. Phys Chem Chem Phys 2017; 19:21522-21526. [DOI: 10.1039/c7cp03422a] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Efficient helium isotope separation by tunneling through a nanoporous graphenylene membrane.
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Affiliation(s)
- Yuanyuan Qu
- School of Physics
- Shandong University
- Jinan 250100
- China
| | - Feng Li
- School of Physics
- Shandong University
- Jinan 250100
- China
- School of Physics and Technology
| | - Mingwen Zhao
- School of Physics
- Shandong University
- Jinan 250100
- China
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Highly Efficient Quantum Sieving in Porous Graphene-like Carbon Nitride for Light Isotopes Separation. Sci Rep 2016; 6:19952. [PMID: 26813491 PMCID: PMC4728688 DOI: 10.1038/srep19952] [Citation(s) in RCA: 43] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2015] [Accepted: 12/21/2015] [Indexed: 12/12/2022] Open
Abstract
Light isotopes separation, such as 3He/4He, H2/D2, H2/T2,etc., is crucial for various advanced technologies including isotope labeling, nuclear weapons, cryogenics and power generation. However, their nearly identical chemical properties made the separation challenging. The low productivity of the present isotopes separation approaches hinders the relevant applications. An efficient membrane with high performance for isotopes separation is quite appealing. Based on first-principles calculations, we theoretically demonstrated that highly efficient light isotopes separation, such as 3He/4He, can be reached in a porous graphene-like carbon nitride material via quantum sieving effect. Under moderate tensile strain, the quantum sieving of the carbon nitride membrane can be effectively tuned in a continuous way, leading to a temperature window with high 3He/4He selectivity and permeance acceptable for efficient isotopes harvest in industrial application. This mechanism also holds for separation of other light isotopes, such as H2/D2, H2/T2. Such tunable quantum sieving opens a promising avenue for light isotopes separation for industrial application.
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Hernández MI, Bartolomei M, Campos-Martínez J. Transmission of Helium Isotopes through Graphdiyne Pores: Tunneling versus Zero Point Energy Effects. J Phys Chem A 2015; 119:10743-9. [DOI: 10.1021/acs.jpca.5b08485] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Marta I. Hernández
- Instituto
de Física
Fundamental, Consejo Superior de Investigaciones Científicas (IFF-CSIC), Serrano 123, 28006 Madrid, Spain
| | - Massimiliano Bartolomei
- Instituto
de Física
Fundamental, Consejo Superior de Investigaciones Científicas (IFF-CSIC), Serrano 123, 28006 Madrid, Spain
| | - José Campos-Martínez
- Instituto
de Física
Fundamental, Consejo Superior de Investigaciones Científicas (IFF-CSIC), Serrano 123, 28006 Madrid, Spain
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