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- In relation to this article, we declare that there is no conflict of interest.
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Received October 14, 2003
Accepted December 20, 2003
- This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © KIChE. All rights reserved.
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van der Waals Interaction Energies between Non-Planar Bodies
Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141, USA
esoh@tamu.edu
Korean Journal of Chemical Engineering, March 2004, 21(2), 494-503(10), 10.1007/BF02705440
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Abstract
The van der Waals interaction energies between non-planar geometries are obtained without the assumption that the distance between two non-planar bodies is much smaller than radii of the non-planar bodies. Based on atomto-body van der Waals energies, we calculate body-to-body van der Waals interaction energies for several non-planar geometries. Using the continuum approach, we discuss the van der Waals interactions in two-dimensional carbon nanotubes and C60 molecules.
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Boustimi M, Baudon J, Candori P, Robert J, Phys. Rev., B, Condens. Matter, 54, 155402 (2002)
Chang YI, Wang YF, Colloids Surf. A: Physicochem. Eng. Asp., 111, 21 (1996)
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Girifalco LA, J. Phys. Chem., 95, 5370 (1991)
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Gradshteyn IS, Ryzhik IM, "Table of Integrals, Series, and Products," Academic Press, New York (1965)
Gu YG, Li DQ, J. Colloid Interface Sci., 217(1), 60 (1999)
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Hamaker HC, Physica, 4, 1058 (1937)
Henrard L, Hernandez E, Bernier P, Rubio A, Phys. Rev., B, Condens. Matter, 60, R8521 (1999)
Hirschfelder JO, Curtiss CF, Bird RB, "Molecular Theory of Gases and Liquids," Wiley, New York (1954)
Hodak M, Girifalco LA, Chem. Phys. Lett., 350, 405 (2001)
Hodak M, Girifalco LA, Chem. Phys. Lett., 363, 93 (2002)
Hornbaker DJ, Kahng SJ, Misra S, Smith BW, Johnson AT, Mele EJ, Luzzi DE, Yazdani A, Science, 295, 828 (2002)
Hough DB, White LR, Adv. Colloid Interface Sci., 14, 3 (1980)
Hummer G, Rasaiah JC, Noworyta JP, Nature, 414, 188 (2001)
Iijima S, Nature, 354, 56 (1991)
Israelachvili JN, J. Chem. Soc.-Faraday Trans., 69, 1729 (1973)
Israelachvili JN, "Intermolecular and Surface Forces," Academic Press, London (1991)
Kaplan W, "Advanced Calculus," Addison-Wesley Publishing Company, Massachusetts (1991)
Lifshitz EM, Soviet Phys. JETP, 2, 73 (1956)
Lu JP, Li XP, Martin RM, Phys. Rev. Lett., 68, 1551 (1992)
Mahanty J, Ninham BW, "Dispersion Forces," Academic Press, New York (1976)
Mendelev MI, Srolovitz DJ, Safran SA, Tenne R, Phys. Rev., B, Condens. Matter, 68, 075402 (2002)
Odom TW, Huang JL, Kim P, Lieber CM, Nature, 391(6662), 62 (1998)
Okada S, Saito S, Oshiyama A, Phys. Rev. Lett., 86, 3835 (2001)
Qian D, Liu WK, Ruoff RS, J. Phys. Chem. B, 105(44), 10753 (2001)
Qin LC, Iijima S, Chem. Phys. Lett., 269, 65 (1997)
Smith BW, Monthioux M, Luzzi DE, Nature, 396(6709), 323 (1998)
Ulbricht H, Moos GM, Hertel T, Phys. Rev. Lett., 90, 095501 (2003)
Vavro J, Llaguno MC, Satishkumar BC, Luzzi DE, Fischer JE, Appl. Phys. Lett., 80, 1450 (2002)
Wildoer JWG, Venema LC, Rinzler AG, Smalley RE, Dekker C, Nature, 391(6662), 59 (1998)
Yakobson BI, Brabec CJ, Bernholc J, Phys. Rev. Lett., 76, 2511 (1996)
Yu MF, Lourie O, Dyer MJ, Moloni K, Kelly TF, Ruoff RS, Science, 287, 637 (2000)