van der Waals Interaction Energies between Non-Planar Bodies

Eun-Suok Oh

Korean Journal of Chemical Engineering, Vol.21, No.2, 494-503, March, 2004

DOI10.1007/BF02705440 Export Citation

van der Waals Interaction Energies between Non-Planar Bodies

Eun-Suok Oh^†

Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141, USA

E-mail:

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.

Keywords:van der Waals Interaction;Non-Planar Body;Carbon Nanotube;C₆₀;Peapods

[References]

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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)
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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)

[Referenced By]

[1] Abramowitz M, Stegun IA, "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables," National Bureau of Standards, Washington (1972)

[2] Adamczyk Z, vandeVen TGM, J. Colloid Interface Sci., 84, 497 (1981)

[3] Bhattacharjee S, Sharma A, Langmuir, 12(22), 5498 (1996)

[4] Bhattacharjee S, Sharma A, J. Colloid Interface Sci., 187(1), 83 (1997)

[5] Boustimi M, Baudon J, Candori P, Robert J, Phys. Rev., B, Condens. Matter, 54, 155402 (2002)

[6] Chang YI, Wang YF, Colloids Surf. A: Physicochem. Eng. Asp., 111, 21 (1996)

[7] Dzyaloshinskii IE, Lifshitz EM, Pitaevskii LP, Adv. Phys., 10, 165 (1961)

[8] Girifalco LA, J. Phys. Chem., 95, 5370 (1991)

[9] Girifalco LA, J. Phys. Chem., 96, 858 (1992)

[10] Girifalco LA, Hodak M, Lee RS, Phys. Rev., B, Condens. Matter, 62, 13104 (2000)

[11] Gradshteyn IS, Ryzhik IM, "Table of Integrals, Series, and Products," Academic Press, New York (1965)

[12] Gu YG, Li DQ, J. Colloid Interface Sci., 217(1), 60 (1999)

[13] Gu YG, Li DQ, J. Colloid Interface Sci., 248(2), 315 (2002)

[14] Hamaker HC, Physica, 4, 1058 (1937)

[15] Henrard L, Hernandez E, Bernier P, Rubio A, Phys. Rev., B, Condens. Matter, 60, R8521 (1999)

[16] Hirschfelder JO, Curtiss CF, Bird RB, "Molecular Theory of Gases and Liquids," Wiley, New York (1954)

[17] Hodak M, Girifalco LA, Chem. Phys. Lett., 350, 405 (2001)

[18] Hodak M, Girifalco LA, Chem. Phys. Lett., 363, 93 (2002)

[19] Hornbaker DJ, Kahng SJ, Misra S, Smith BW, Johnson AT, Mele EJ, Luzzi DE, Yazdani A, Science, 295, 828 (2002)

[20] Hough DB, White LR, Adv. Colloid Interface Sci., 14, 3 (1980)

[21] Hummer G, Rasaiah JC, Noworyta JP, Nature, 414, 188 (2001)

[22] Iijima S, Nature, 354, 56 (1991)

[23] Israelachvili JN, J. Chem. Soc.-Faraday Trans., 69, 1729 (1973)

[24] Israelachvili JN, "Intermolecular and Surface Forces," Academic Press, London (1991)

[25] Kaplan W, "Advanced Calculus," Addison-Wesley Publishing Company, Massachusetts (1991)

[26] Lifshitz EM, Soviet Phys. JETP, 2, 73 (1956)

[27] Lu JP, Li XP, Martin RM, Phys. Rev. Lett., 68, 1551 (1992)

[28] Mahanty J, Ninham BW, "Dispersion Forces," Academic Press, New York (1976)

[29] Mendelev MI, Srolovitz DJ, Safran SA, Tenne R, Phys. Rev., B, Condens. Matter, 68, 075402 (2002)

[30] Odom TW, Huang JL, Kim P, Lieber CM, Nature, 391(6662), 62 (1998)

[31] Okada S, Saito S, Oshiyama A, Phys. Rev. Lett., 86, 3835 (2001)

[32] Qian D, Liu WK, Ruoff RS, J. Phys. Chem. B, 105(44), 10753 (2001)

[33] Qin LC, Iijima S, Chem. Phys. Lett., 269, 65 (1997)

[34] Smith BW, Monthioux M, Luzzi DE, Nature, 396(6709), 323 (1998)

[35] Ulbricht H, Moos GM, Hertel T, Phys. Rev. Lett., 90, 095501 (2003)

[36] Vavro J, Llaguno MC, Satishkumar BC, Luzzi DE, Fischer JE, Appl. Phys. Lett., 80, 1450 (2002)

[37] Wildoer JWG, Venema LC, Rinzler AG, Smalley RE, Dekker C, Nature, 391(6662), 59 (1998)

[38] Yakobson BI, Brabec CJ, Bernholc J, Phys. Rev. Lett., 76, 2511 (1996)

[39] Yu MF, Lourie O, Dyer MJ, Moloni K, Kelly TF, Ruoff RS, Science, 287, 637 (2000)