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The mechanism for the formation of colloidal crystals in charge-stabilized colloids is more complicated than that of hard-sphere colloidal crystals. And there is still lack of available criterion for the formation of charged colloidal crystals. The effective hard-sphere model suggests a criterion in which the effective diameter is used as a crucial parameter. In order to test the validity of this criterion, the characteristics of charged colloidal crystals with different effective diameters are investigated using Brownian dynamics simulations in this study. The crystallization behaviors with different geometric particle diameters and repulsive forces are also studied with some fixed effective diameters. In the simulation, the time evolution of crystallization process and the crystal structure during the simulation are characterized by means of the radial distribution functions and bond-order parameters. The results show that the effective hard-sphere model criterion has its reasonableness to some extent. However, the effective diameter cannot be used as the only parameter that influences the formation of charged colloidal crystals. The influence of other parameters should also be taken into account, which indicates that the criterion is one-sided.
[1] Van Blaaderen A, Ruel R, Wiltzius P 1997 Nature 385 321
[2] [3] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[4] Velikov K P, Christova C G, Dullens R P A 2002 Science 296 106
[5] [6] Pusey P N, van Megen W 1986 Nature 320 340
[7] [8] [9] Pusey P N, van Megen W, Bartlett P, Ackerson B J, Rarity J G, Underwood S M 1989 Phys. Rev. Lett. 63 2753
[10] Russel W B 2003 Nature 421 490
[11] [12] Russel W B, Saville D A, Schowalter W R 1989 Colloidal Dispersions (Cambridge: Cambridge University Press )
[13] [14] [15] Hynninen A P, Dijkstra M 2003 Phys. Rev. E 68 021407
[16] [17] Schtzel K 1996 Ordering and Phase Transitions in Charged Colloids (New York: Wiley-VCH)
[18] [19] Frenkel D 2002 Science 296 65
[20] Tata B V R, Ise N 1998 Phys. Rev. E 58 2237
[21] [22] Grier D G, Crocker J C 2000 Phys. Rev. E 61 980
[23] [24] Liu L, Xu S H, Liu J, Duan L, Sun Z W, Lu R X, Dong P 2006 Acta Phys. Sin. 55 6168 (in Chinese) [刘 蕾、徐升华、刘 捷、段 俐、孙祉伟、刘忍肖、董 鹏 2006 55 6168]
[25] [26] [27] Liu L, Xu S H, Liu J, Sun Z W 2008 J. Coll. Interf. Sci. 326 261
[28] [29] Xu S H, Zhou H W, Sun Z W, Xie J C 2010 Phys. Rev. E 82 010401
[30] [31] Liu L, Xu S H, Sun Z W, Duan L, Xie J C, Lin H 2008 Acta Phys. Sin. 57 7367 (in Chinese)[刘 蕾、徐升华、孙祉伟、段俐、解京昌、林 海 2008 57 7367]
[32] Dixit N M, Zukoski C F 2003 J. Phys.: Condens. Matter 15 1531
[33] [34] Okubo T 1994 Langmuir 10 3529
[35] [36] Okubo T, Tsuchida A 2002 Forma 17 141
[37] [38] Ishikawa M, Okubo T 2001 J. Cryst. Growth 233 408
[39] [40] [41] Xu S H, Sun Z W 2007 J. Chem. Phys. 126 144903
[42] Gu L Y, Xu S H, Sun Z W, Wang J T 2010 J. Coll. Interf. Sci. 350 409
[43] [44] Allen M P, Tildesley D J 1987 Computer Simulation of Liquid (Oxford: Clarendon Press)
[45] [46] [47] Ermak D L, McCammon J A 1978 J. Chem. Phys. 69 1352
[48] Steinhardt P J, Nelson D R, Ronchetti M 1983 Phys. Rev. B 28 784
[49] [50] ten Wolde P R, Ruiz-Montero M J, Frenkel D 1995 Phys. Rev. Lett. 75 2714
[51] [52] Kremer K, Robbins M O, Grest G S 1986 Phys. Rev. Lett. 57 2694
[53] -
[1] Van Blaaderen A, Ruel R, Wiltzius P 1997 Nature 385 321
[2] [3] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[4] Velikov K P, Christova C G, Dullens R P A 2002 Science 296 106
[5] [6] Pusey P N, van Megen W 1986 Nature 320 340
[7] [8] [9] Pusey P N, van Megen W, Bartlett P, Ackerson B J, Rarity J G, Underwood S M 1989 Phys. Rev. Lett. 63 2753
[10] Russel W B 2003 Nature 421 490
[11] [12] Russel W B, Saville D A, Schowalter W R 1989 Colloidal Dispersions (Cambridge: Cambridge University Press )
[13] [14] [15] Hynninen A P, Dijkstra M 2003 Phys. Rev. E 68 021407
[16] [17] Schtzel K 1996 Ordering and Phase Transitions in Charged Colloids (New York: Wiley-VCH)
[18] [19] Frenkel D 2002 Science 296 65
[20] Tata B V R, Ise N 1998 Phys. Rev. E 58 2237
[21] [22] Grier D G, Crocker J C 2000 Phys. Rev. E 61 980
[23] [24] Liu L, Xu S H, Liu J, Duan L, Sun Z W, Lu R X, Dong P 2006 Acta Phys. Sin. 55 6168 (in Chinese) [刘 蕾、徐升华、刘 捷、段 俐、孙祉伟、刘忍肖、董 鹏 2006 55 6168]
[25] [26] [27] Liu L, Xu S H, Liu J, Sun Z W 2008 J. Coll. Interf. Sci. 326 261
[28] [29] Xu S H, Zhou H W, Sun Z W, Xie J C 2010 Phys. Rev. E 82 010401
[30] [31] Liu L, Xu S H, Sun Z W, Duan L, Xie J C, Lin H 2008 Acta Phys. Sin. 57 7367 (in Chinese)[刘 蕾、徐升华、孙祉伟、段俐、解京昌、林 海 2008 57 7367]
[32] Dixit N M, Zukoski C F 2003 J. Phys.: Condens. Matter 15 1531
[33] [34] Okubo T 1994 Langmuir 10 3529
[35] [36] Okubo T, Tsuchida A 2002 Forma 17 141
[37] [38] Ishikawa M, Okubo T 2001 J. Cryst. Growth 233 408
[39] [40] [41] Xu S H, Sun Z W 2007 J. Chem. Phys. 126 144903
[42] Gu L Y, Xu S H, Sun Z W, Wang J T 2010 J. Coll. Interf. Sci. 350 409
[43] [44] Allen M P, Tildesley D J 1987 Computer Simulation of Liquid (Oxford: Clarendon Press)
[45] [46] [47] Ermak D L, McCammon J A 1978 J. Chem. Phys. 69 1352
[48] Steinhardt P J, Nelson D R, Ronchetti M 1983 Phys. Rev. B 28 784
[49] [50] ten Wolde P R, Ruiz-Montero M J, Frenkel D 1995 Phys. Rev. Lett. 75 2714
[51] [52] Kremer K, Robbins M O, Grest G S 1986 Phys. Rev. Lett. 57 2694
[53]
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