DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Relevance of the Nuclear Quantum Effects on the Proton/Deuteron Transmission through Hexagonal Boron Nitride and Graphene Monolayers

Abstract

According to recent experiments, atomically thin hexagonal boron nitride and graphene are permeable to protons and deuterons (and not to other atomic species), and the experimental estimates of the activation energy are lower than the theoretical values by about 0.5 eV for the isolated proton-membrane transfer model. Our analysis of the electronic potential energy surfaces along the normal to the transmission direction, obtained using correlated electronic structure methods, suggests that the aqueous environment is essential to stabilize the proton { as opposed to the hydrogenatom { transmission. Therefore, the process is examined within a molecular model of H2O { H(D)+ { material { H2O. Exact quantum-mechanical scattering calculations are performed to assess the relevance of the nuclear quantum eects, such as tunneling factors and the kinetic isotope eect (KIE). Deuteration is found to aect the thermal reaction rate constants (KIE of 3-4 for hexagonal boron nitride and 20-30 for the graphene) and to eectively lower the barriers to the proton transfer by 0.2 and 0.4 eV for the two membranes, respectively. This lowering eect is reduced for the deuteron by approximately a factor of three. A more comprehensive description of the proton transmission is likely to require an extended explicitmore » aqueous environment.« less

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [1]
  1. Univ. of South Carolina, Columbia, SC (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1427695
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry. C
Additional Journal Information:
Journal Volume: 121; Journal Issue: 43; Journal ID: ISSN 1932-7447
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Ekanayake, Niranji, Huang, Jingsong, Jakowski, Jacek, Sumpter, Bobby G., and Garashchuk, Sofiya V. Relevance of the Nuclear Quantum Effects on the Proton/Deuteron Transmission through Hexagonal Boron Nitride and Graphene Monolayers. United States: N. p., 2017. Web. doi:10.1021/acs.jpcc.7b08152.
Ekanayake, Niranji, Huang, Jingsong, Jakowski, Jacek, Sumpter, Bobby G., & Garashchuk, Sofiya V. Relevance of the Nuclear Quantum Effects on the Proton/Deuteron Transmission through Hexagonal Boron Nitride and Graphene Monolayers. United States. https://doi.org/10.1021/acs.jpcc.7b08152
Ekanayake, Niranji, Huang, Jingsong, Jakowski, Jacek, Sumpter, Bobby G., and Garashchuk, Sofiya V. Mon . "Relevance of the Nuclear Quantum Effects on the Proton/Deuteron Transmission through Hexagonal Boron Nitride and Graphene Monolayers". United States. https://doi.org/10.1021/acs.jpcc.7b08152. https://www.osti.gov/servlets/purl/1427695.
@article{osti_1427695,
title = {Relevance of the Nuclear Quantum Effects on the Proton/Deuteron Transmission through Hexagonal Boron Nitride and Graphene Monolayers},
author = {Ekanayake, Niranji and Huang, Jingsong and Jakowski, Jacek and Sumpter, Bobby G. and Garashchuk, Sofiya V.},
abstractNote = {According to recent experiments, atomically thin hexagonal boron nitride and graphene are permeable to protons and deuterons (and not to other atomic species), and the experimental estimates of the activation energy are lower than the theoretical values by about 0.5 eV for the isolated proton-membrane transfer model. Our analysis of the electronic potential energy surfaces along the normal to the transmission direction, obtained using correlated electronic structure methods, suggests that the aqueous environment is essential to stabilize the proton { as opposed to the hydrogenatom { transmission. Therefore, the process is examined within a molecular model of H2O { H(D)+ { material { H2O. Exact quantum-mechanical scattering calculations are performed to assess the relevance of the nuclear quantum eects, such as tunneling factors and the kinetic isotope eect (KIE). Deuteration is found to aect the thermal reaction rate constants (KIE of 3-4 for hexagonal boron nitride and 20-30 for the graphene) and to eectively lower the barriers to the proton transfer by 0.2 and 0.4 eV for the two membranes, respectively. This lowering eect is reduced for the deuteron by approximately a factor of three. A more comprehensive description of the proton transmission is likely to require an extended explicit aqueous environment.},
doi = {10.1021/acs.jpcc.7b08152},
journal = {Journal of Physical Chemistry. C},
number = 43,
volume = 121,
place = {United States},
year = {2017},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Proton transport through one-atom-thick crystals
journal, November 2014

  • Hu, S.; Lozada-Hidalgo, M.; Wang, F. C.
  • Nature, Vol. 516, Issue 7530
  • DOI: 10.1038/nature14015

State of Understanding of Nafion
journal, October 2004

  • Mauritz, Kenneth A.; Moore, Robert B.
  • Chemical Reviews, Vol. 104, Issue 10
  • DOI: 10.1021/cr0207123

Graphene hydrate: theoretical prediction of a new insulating form of graphene
journal, December 2010


Differential Permeability of Proton Isotopes through Graphene and Graphene Analogue Monolayer
journal, August 2016


Proton and hydrogen transport through two-dimensional monolayers
journal, March 2016


Density functional based simulations of proton permeation of graphene and hexagonal boron nitride
journal, January 2017

  • Kroes, J. M. H.; Fasolino, A.; Katsnelson, M. I.
  • Physical Chemistry Chemical Physics, Vol. 19, Issue 8
  • DOI: 10.1039/C6CP08923B

Graphene: An impermeable or selectively permeable membrane for atomic species?
journal, February 2014


Electronic and magnetic properties of a BN sheet decorated with hydrogen and fluorine
journal, February 2010


Sieving hydrogen isotopes through two-dimensional crystals
journal, December 2015


Quantum nature of the hydrogen bond
journal, April 2011

  • Li, X. -Z.; Walker, B.; Michaelides, A.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 16
  • DOI: 10.1073/pnas.1016653108

Nuclear quantum effects and hydrogen bond fluctuations in water
journal, September 2013

  • Ceriotti, M.; Cuny, J.; Parrinello, M.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 39
  • DOI: 10.1073/pnas.1308560110

Advances in molecular quantum chemistry contained in the Q-Chem 4 program package
journal, September 2014


First principles study of the permeability of graphene to hydrogen atoms
journal, January 2013

  • Miao, Meng; Nardelli, Marco Buongiorno; Wang, Qi
  • Physical Chemistry Chemical Physics, Vol. 15, Issue 38
  • DOI: 10.1039/c3cp52318g

Et tu, Grotthuss! and other unfinished stories
journal, August 2006


van der Waals Volumes and Radii
journal, March 1964

  • Bondi, A.
  • The Journal of Physical Chemistry, Vol. 68, Issue 3, p. 441-451
  • DOI: 10.1021/j100785a001

Isotope effects of quantum dynamics for the Cl+CH4/CD4 reaction
journal, April 2010


Quantum dynamics of the H+CH4→H2+CH3 reaction in curvilinear coordinates: Full-dimensional and reduced dimensional calculations of reaction rates
journal, February 2010

  • Schiffel, Gerd; Manthe, Uwe
  • The Journal of Chemical Physics, Vol. 132, Issue 8
  • DOI: 10.1063/1.3304920

On the Quantum Correction For Thermodynamic Equilibrium
journal, June 1932


Shallow-tunnelling correction factor for use with Wigner–Eyring transition-state theory
journal, January 2014

  • Zhang, Yanchuan; Rommel, Judith B.; Cvitaš, Marko T.
  • Phys. Chem. Chem. Phys., Vol. 16, Issue 44
  • DOI: 10.1039/C4CP03235G

Chemical reaction rates from ring polymer molecular dynamics
journal, February 2005

  • Craig, Ian R.; Manolopoulos, David E.
  • The Journal of Chemical Physics, Vol. 122, Issue 8
  • DOI: 10.1063/1.1850093

Wave packet correlation function formulation of scattering theory: The quantum analog of classical S ‐matrix theory
journal, March 1993

  • Tannor, David J.; Weeks, David E.
  • The Journal of Chemical Physics, Vol. 98, Issue 5
  • DOI: 10.1063/1.464016

Time-dependent quantum-mechanical methods for molecular dynamics
journal, April 1988


Solution of the Schrödinger equation by a spectral method
journal, September 1982


Quantum mechanical rate constants for bimolecular reactions
journal, November 1983

  • Miller, William H.; Schwartz, Steven D.; Tromp, John W.
  • The Journal of Chemical Physics, Vol. 79, Issue 10
  • DOI: 10.1063/1.445581

Accuracy of tunneling corrections to transition state theory for thermal rate constants of atom transfer reactions
journal, January 1979

  • Garrett, Bruce C.; Truhlar, Donald G.
  • The Journal of Physical Chemistry, Vol. 83, Issue 1
  • DOI: 10.1021/j100464a026

Parabolic tunneling calculations
journal, March 1981

  • Skodje, Rex T.; Truhlar, Donald G.
  • The Journal of Physical Chemistry, Vol. 85, Issue 6
  • DOI: 10.1021/j150606a003

Theoretical Estimation of the Activation Energy for the Reaction HO + H 2 O → H 2 O + OH:  Importance of Tunneling
journal, July 1998

  • Hand, Michael R.; Rodriquez, Christopher F.; Williams, Ian H.
  • The Journal of Physical Chemistry A, Vol. 102, Issue 29
  • DOI: 10.1021/jp980838x

Hydrogen Tunneling in an Enzyme Active Site: A Quantum Wavepacket Dynamical Perspective
journal, June 2008

  • Iyengar, Srinivasan S.; Sumner, Isaiah; Jakowski, Jacek
  • The Journal of Physical Chemistry B, Vol. 112, Issue 25
  • DOI: 10.1021/jp7103215

Description of proton transfer in soybean lipoxygenase-1 employing approximate quantum trajectory dynamics
journal, July 2012


Quantum Trajectory-Electronic Structure Approach for Exploring Nuclear Effects in the Dynamics of Nanomaterials
journal, November 2013

  • Garashchuk, Sophya; Jakowski, Jacek; Wang, Lei
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 12
  • DOI: 10.1021/ct4006147

Works referencing / citing this record:

The quantum nature of hydrogen
journal, January 2019


Theoretical assessment of the nuclear quantum effects on polymer crystallinity via perturbation theory and dynamics
journal, September 2018

  • Jakowski, Jacek; Huang, Jingsong; Sumpter, Bobby G.
  • International Journal of Quantum Chemistry, Vol. 118, Issue 20
  • DOI: 10.1002/qua.25712

Aqueous proton-selective conduction across two-dimensional graphyne
journal, March 2019


The quantum nature of hydrogen
preprint, January 2018