van der Waals corrected density functionals for cylindrical surfaces: Ammonia and nitrogen dioxide adsorbed on a single-walled carbon nanotube
Abstract
In this work, we extend the damped Zaremba-Kohn model (dZK) for long-range dispersion interaction between a molecule and a planar surface to molecules adsorbed on a curved cylindrical surface, and employ this extended model as an additive correction to the semilocal density functionals PBE (Perdew-Burke-Ernzerhof) and SCAN (strongly constrained and appropriately normed). The resulting PBE+vdW (van der Waals)-dZK and SCAN+vdW-dZK are applied to two systems, NH3 and NO2 molecules adsorbed on a single-wall carbon nanotube (CNT), for calculations of binding energies and equilibrium distances. For comparison, the results from vdW nonlocal functionals, such as SCAN+rVV10 and PBE+rVV10, are also presented. The binding energies from PBE+rVV10 (Vydrov and Van Voorhis), SCAN+rVV10, PBE+vdW-dZK, and SCAN+vdW-dZK are about 70–115 meV for the system of CNT + NH3 and 300–500 meV for the system of CNT + NO2. The results from PBE+vdW-dZK and SCAN+vdW-dZK are closer to each other than those from PBE+rVV10 and SCAN+rVV10 are. The relatively closer results from PBE+vdW-dZK and SCAN+vdW-dZK indicate the consistency of our developed vdW–dZK model for cylindrical surfaces. All methods, including PBE, SCAN, PBE+rVV10, SCAN+rVV10, PBE+vdW-dZK, and SCAN+vdW-dZK, give approximately the same binding energy differences between two adsorption configurations (types I and II) for the two systems.more »
- Authors:
-
- Temple Univ., Philadelphia, PA (United States)
- Publication Date:
- Research Org.:
- Temple Univ., Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1852538
- Grant/Contract Number:
- SC0018194; DMR-1939528
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 19; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Chowdhury, Shah Tanvir ur Rahman, Tang, Hong, and Perdew, John P. van der Waals corrected density functionals for cylindrical surfaces: Ammonia and nitrogen dioxide adsorbed on a single-walled carbon nanotube. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.195410.
Chowdhury, Shah Tanvir ur Rahman, Tang, Hong, & Perdew, John P. van der Waals corrected density functionals for cylindrical surfaces: Ammonia and nitrogen dioxide adsorbed on a single-walled carbon nanotube. United States. https://doi.org/10.1103/physrevb.103.195410
Chowdhury, Shah Tanvir ur Rahman, Tang, Hong, and Perdew, John P. Mon .
"van der Waals corrected density functionals for cylindrical surfaces: Ammonia and nitrogen dioxide adsorbed on a single-walled carbon nanotube". United States. https://doi.org/10.1103/physrevb.103.195410. https://www.osti.gov/servlets/purl/1852538.
@article{osti_1852538,
title = {van der Waals corrected density functionals for cylindrical surfaces: Ammonia and nitrogen dioxide adsorbed on a single-walled carbon nanotube},
author = {Chowdhury, Shah Tanvir ur Rahman and Tang, Hong and Perdew, John P.},
abstractNote = {In this work, we extend the damped Zaremba-Kohn model (dZK) for long-range dispersion interaction between a molecule and a planar surface to molecules adsorbed on a curved cylindrical surface, and employ this extended model as an additive correction to the semilocal density functionals PBE (Perdew-Burke-Ernzerhof) and SCAN (strongly constrained and appropriately normed). The resulting PBE+vdW (van der Waals)-dZK and SCAN+vdW-dZK are applied to two systems, NH3 and NO2 molecules adsorbed on a single-wall carbon nanotube (CNT), for calculations of binding energies and equilibrium distances. For comparison, the results from vdW nonlocal functionals, such as SCAN+rVV10 and PBE+rVV10, are also presented. The binding energies from PBE+rVV10 (Vydrov and Van Voorhis), SCAN+rVV10, PBE+vdW-dZK, and SCAN+vdW-dZK are about 70–115 meV for the system of CNT + NH3 and 300–500 meV for the system of CNT + NO2. The results from PBE+vdW-dZK and SCAN+vdW-dZK are closer to each other than those from PBE+rVV10 and SCAN+rVV10 are. The relatively closer results from PBE+vdW-dZK and SCAN+vdW-dZK indicate the consistency of our developed vdW–dZK model for cylindrical surfaces. All methods, including PBE, SCAN, PBE+rVV10, SCAN+rVV10, PBE+vdW-dZK, and SCAN+vdW-dZK, give approximately the same binding energy differences between two adsorption configurations (types I and II) for the two systems. This implies that the two adsorption sites have approximately the same adsorption stability. The exponent of the vdW interaction power law from our vdW-dZK model for the two systems is about 0 at short distance, largely due to the damping factor, and tends slowly to –4 to –4.5 at distances D about 20–50 Å. At even larger distances, the vdW power-law exponent approaches –5. This feature is very similar to the one calculated with random-phase approximation and renormalization group approaches, supporting the applicability of our methods. Our developed vdW-dZK method provides a highly efficient and reliable method for large systems with cylindrical surfaces, such as vdW interactions with nanotubes.},
doi = {10.1103/physrevb.103.195410},
journal = {Physical Review. B},
number = 19,
volume = 103,
place = {United States},
year = {Mon May 10 00:00:00 EDT 2021},
month = {Mon May 10 00:00:00 EDT 2021}
}
Works referenced in this record:
Generalized Gradient Approximation Made Simple
journal, October 1996
- Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
- Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
Nonlocal van der Waals density functional made simple and efficient
journal, January 2013
- Sabatini, Riccardo; Gorni, Tommaso; de Gironcoli, Stefano
- Physical Review B, Vol. 87, Issue 4
Physical adsorption at the nanoscale: Towards controllable scaling of the substrate-adsorbate van der Waals interaction
journal, June 2017
- Ambrosetti, Alberto; Silvestrelli, Pier Luigi; Tkatchenko, Alexandre
- Physical Review B, Vol. 95, Issue 23
Nonlocal van der Waals density functional: The simpler the better
journal, December 2010
- Vydrov, Oleg A.; Van Voorhis, Troy
- The Journal of Chemical Physics, Vol. 133, Issue 24
Helical microtubules of graphitic carbon
journal, November 1991
- Iijima, Sumio
- Nature, Vol. 354, Issue 6348
Near-Static Dielectric Polarization of Individual Carbon Nanotubes
journal, September 2007
- Lu, Wei; Wang, Dan; Chen, Liwei
- Nano Letters, Vol. 7, Issue 9
Projector augmented-wave method
journal, December 1994
- Blöchl, P. E.
- Physical Review B, Vol. 50, Issue 24, p. 17953-17979
Long range interaction between a He atom and a semiconductor surface
journal, June 1981
- Vidali, G.; Cole, M. W.
- Surface Science, Vol. 107, Issue 2-3
Frequency-dependent dielectric function of semiconductors with application to physisorption
journal, January 2017
- Zheng, Fan; Tao, Jianmin; Rappe, Andrew M.
- Physical Review B, Vol. 95, Issue 3
van der Waals density functional made accurate
journal, March 2014
- Hamada, Ikutaro
- Physical Review B, Vol. 89, Issue 12
Ab initio study of CNT NO2 gas sensor
journal, April 2004
- Peng, Shu; Cho, Kyeongjae; Qi, Pengfei
- Chemical Physics Letters, Vol. 387, Issue 4-6
Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism
journal, May 1976
- Gunnarsson, O.; Lundqvist, B. I.
- Physical Review B, Vol. 13, Issue 10
Note: Assessment of the SCAN+rVV10 functional for the structure of liquid water
journal, December 2017
- Wiktor, Julia; Ambrosio, Francesco; Pasquarello, Alfredo
- The Journal of Chemical Physics, Vol. 147, Issue 21
Physical Adsorption: Theory of van der Waals Interactions between Particles and Clean Surfaces
journal, March 2014
- Tao, Jianmin; Rappe, Andrew M.
- Physical Review Letters, Vol. 112, Issue 10
From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999
- Kresse, G.; Joubert, D.
- Physical Review B, Vol. 59, Issue 3, p. 1758-1775
Chemical accuracy for the van der Waals density functional
journal, December 2009
- Klimeš, Jiří; Bowler, David R.; Michaelides, Angelos
- Journal of Physics: Condensed Matter, Vol. 22, Issue 2
Electrostatic potential in cylindrical dielectric media using the image charge method
journal, October 2006
- Cui, S. T.
- Molecular Physics, Vol. 104, Issue 19
First-Principles Models for van der Waals Interactions in Molecules and Materials: Concepts, Theory, and Applications
journal, March 2017
- Hermann, Jan; DiStasio, Robert A.; Tkatchenko, Alexandre
- Chemical Reviews, Vol. 117, Issue 6
Accurate Molecular Van Der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data
journal, February 2009
- Tkatchenko, Alexandre; Scheffler, Matthias
- Physical Review Letters, Vol. 102, Issue 7
Adsorption of NH3 and NO2 molecules on carbon nanotubes
journal, December 2001
- Chang, Hyunju; Lee, Jae Do; Lee, Seung Mi
- Applied Physics Letters, Vol. 79, Issue 23
A Collective Description of Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas
journal, November 1953
- Bohm, David; Pines, David
- Physical Review, Vol. 92, Issue 3
Evidence for van der Waals adhesion in gecko setae
journal, August 2002
- Autumn, K.; Sitti, M.; Liang, Y. A.
- Proceedings of the National Academy of Sciences, Vol. 99, Issue 19
Individual single-wall carbon nanotubes as quantum wires
journal, April 1997
- Tans, Sander J.; Devoret, Michel H.; Dai, Hongjie
- Nature, Vol. 386, Issue 6624
Casimir Interaction between a Plate and a Cylinder
journal, March 2006
- Emig, T.; Jaffe, R. L.; Kardar, M.
- Physical Review Letters, Vol. 96, Issue 8
Computational study of B- or N-doped single-walled carbon nanotubes as NH3 and NO2 sensors
journal, September 2007
- Bai, Lu; Zhou, Zhen
- Carbon, Vol. 45, Issue 10
Improved calculations of the complex dielectric constant of semiconductors
journal, September 1974
- Breckenridge, Roger A.; Shaw, Robert W.; Sher, Arden
- Physical Review B, Vol. 10, Issue 6
Gas molecule adsorption in carbon nanotubes and nanotube bundles
journal, March 2002
- Zhao, Jijun; Buldum, Alper; Han, Jie
- Nanotechnology, Vol. 13, Issue 2
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu
journal, April 2010
- Grimme, Stefan; Antony, Jens; Ehrlich, Stephan
- The Journal of Chemical Physics, Vol. 132, Issue 15
A Collective Description of Electron Interactions: II. Collective Individual Particle Aspects of the Interactions
journal, January 1952
- Pines, David; Bohm, David
- Physical Review, Vol. 85, Issue 2
Static Dielectric Properties of Carbon Nanotubes from First Principles
journal, April 2006
- Kozinsky, Boris; Marzari, Nicola
- Physical Review Letters, Vol. 96, Issue 16
Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965
- Kohn, W.; Sham, L. J.
- Physical Review, Vol. 140, Issue 4A, p. A1133-A1138
Collective many-body van der Waals interactions in molecular systems
journal, August 2012
- DiStasio, R. A.; von Lilienfeld, O. A.; Tkatchenko, A.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 37
Electric potential due to an infinite conducting cylinder with internal or external point charge
journal, October 2005
- Hernandes, J. A.; Assis, A. K. T.
- Journal of Electrostatics, Vol. 63, Issue 12
van der Waals Correction to the Physisorption of Graphene on Metal Surfaces
journal, May 2019
- Tang, Hong; Tao, Jianmin; Ruzsinszky, Adrienn
- The Journal of Physical Chemistry C, Vol. 123, Issue 22
Exchange-correlation energy of a metallic surface: Wave-vector analysis
journal, March 1977
- Langreth, David C.; Perdew, John P.
- Physical Review B, Vol. 15, Issue 6
Modeling the physisorption of graphene on metals
journal, April 2018
- Tao, Jianmin; Tang, Hong; Patra, Abhirup
- Physical Review B, Vol. 97, Issue 16
Higher-accuracy van der Waals density functional
journal, August 2010
- Lee, Kyuho; Murray, Éamonn D.; Kong, Lingzhu
- Physical Review B, Vol. 82, Issue 8
Van der Waals interaction between an atom and a solid surface
journal, March 1976
- Zaremba, E.; Kohn, W.
- Physical Review B, Vol. 13, Issue 6
Nanotube Molecular Wires as Chemical Sensors
journal, January 2000
- Kong, Jing; Franklin, Nathan R.; Zhou, Chongwu
- Science, Vol. 287, Issue 5453, p. 622-625
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996
- Kresse, G.; Furthmüller, J.
- Physical Review B, Vol. 54, Issue 16, p. 11169-11186
Adhesive force of a single gecko foot-hair
journal, June 2000
- Autumn, Kellar; Liang, Yiching A.; Hsieh, S. Tonia
- Nature, Vol. 405, Issue 6787
Accurate and Efficient Method for Many-Body van der Waals Interactions
journal, June 2012
- Tkatchenko, Alexandre; DiStasio, Robert A.; Car, Roberto
- Physical Review Letters, Vol. 108, Issue 23
Exchange functional that tests the robustness of the plasmon description of the van der Waals density functional
journal, January 2014
- Berland, Kristian; Hyldgaard, Per
- Physical Review B, Vol. 89, Issue 3
Carbon Nanotubes--the Route Toward Applications
journal, August 2002
- Baughman, Ray H.; Zakhidov, Anvar A.; de Heer, Walt A.
- Science, Vol. 297, Issue 5582, p. 787-792
van der Waals–London dispersion interactions for optically anisotropic cylinders: Metallic and semiconducting single-wall carbon nanotubes
journal, July 2007
- Rajter, Rick F.; Podgornik, Rudi; Parsegian, V. Adrian
- Physical Review B, Vol. 76, Issue 4
Quantitative Prediction of Molecular Adsorption: Structure and Binding of Benzene on Coinage Metals
journal, July 2015
- Liu, Wei; Maaß, Friedrich; Willenbockel, Martin
- Physical Review Letters, Vol. 115, Issue 3
Van der Waals density functional: An appropriate exchange functional
journal, April 2010
- Cooper, Valentino R.
- Physical Review B, Vol. 81, Issue 16
Semiempirical GGA-type density functional constructed with a long-range dispersion correction
journal, January 2006
- Grimme, Stefan
- Journal of Computational Chemistry, Vol. 27, Issue 15, p. 1787-1799
uMBD: A Materials-Ready Dispersion Correction That Uniformly Treats Metallic, Ionic, and van der Waals Bonding
journal, January 2020
- Kim, Minho; Kim, Won June; Gould, Timothy
- Journal of the American Chemical Society, Vol. 142, Issue 5
Long-range van der Waals attraction and alkali-metal lattice constants
journal, June 2010
- Tao, Jianmin; Perdew, John P.; Ruzsinszky, Adrienn
- Physical Review B, Vol. 81, Issue 23
Room-temperature transistor based on a single carbon nanotube
journal, May 1998
- Tans, Sander J.; Verschueren, Alwin R. M.; Dekker, Cees
- Nature, Vol. 393, Issue 6680
Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075) 1950 DA
journal, August 2014
- Rozitis, Ben; MacLennan, Eric; Emery, Joshua P.
- Nature, Vol. 512, Issue 7513
Scaling forces to asteroid surfaces: The role of cohesion
journal, December 2010
- Scheeres, D. J.; Hartzell, C. M.; Sánchez, P.
- Icarus, Vol. 210, Issue 2
Mechanisms of NH3 and NO2 detection in carbon-nanotube-based sensors: An ab initio investigation
journal, May 2016
- Li, Yan; Hodak, Miroslav; Lu, Wenchang
- Carbon, Vol. 101
Static polarizabilities of single-wall carbon nanotubes
journal, September 1995
- Benedict, Lorin X.; Louie, Steven G.; Cohen, Marvin L.
- Physical Review B, Vol. 52, Issue 11
Perspective: How good is DFT for water?
journal, April 2016
- Gillan, Michael J.; Alfè, Dario; Michaelides, Angelos
- The Journal of Chemical Physics, Vol. 144, Issue 13
Wave-Number-Dependent Dielectric Function of Semiconductors
journal, December 1962
- Penn, David R.
- Physical Review, Vol. 128, Issue 5