Abstract
Colloidal gold nanospheres have been used in a variety of applications since the Middle Ages, when artisans blended tissue paper thin gold sheets into molten glass, creating stained glass panels with rich ruby red hues. Despite both substantial interest and well-established procedures for producing nanoparticles of various shapes, little is known about the growth mechanisms that govern the formation of shapes such as rods, cubes, tetrahedrons, and dog-bones. Understanding these mechanisms is an important step in developing applications using nanoparticles. With more finely defined controls, metallic nanoparticles could be fabricated or grown in desired shapes with far less trial and error, offering greater potential for complex and functional nanostructures. In this work, a cellular automata model is used to model the growth of high aspect ratio gold nanorods. One mechanism that has been suggested for nanorod growth is competitive binding between the colloidal gold in solution and a surfactant, which functions as a structure-directing agent. The model incorporates experimental conditions in the framework of this competitive binding. Results suggest that cellular automata modeling can be a computationally efficient means of modeling the competitive and non-deterministic interactions involved in the growth of gold nanorods.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Baxter SC, Reynolds AP (2004) Probabil Eng Mech 19 (1–2):3–8
Beltran-Sanchez L, Stefanescu D (2003) Metallurgic Mater Trans A 34A:367–382
Bullard JW, Garboczi EJ, Carter WC, Fuller ER (1995) Computat Mat Sci 4:103–116
Burda C, Chen X, Narayanan R, El-Sayed MA (2005) Chem Rev 105:1025–1102
Daniel MC, Astruc D (2004) Chem Rev 104:293346
El-Brolossy TA, Abdallah T, Mohamed MB, Abdalah S, Easawi K, Negm S, Talaat H (2008) Eur Phys J Special Topics 153:361–364
Hernandez J, Solla-Gullon J, Herrero E, Aldaz A, Feliu J (2005) J Phys Chem B Lett 109:12651–12654
Jana NR, Gearheart L, Murphy CJ (2001) J Phys Chem B 105(19):4065 4067
Johnson CJ, Dujardin E, Davis S, Murphy CJ, Mann S (2002) J Mat Chem 12:1765–1770
Kelly KL, Coronado E, Zhao LL, Schatz GC (2003) J Phys Chem B 107(3):668–677
Krishnamachari B, McLean J, Cooper B, Sethna J (1996) Phys Rev B 54(12):8899–8907
Kremeyer K (1998) J Computat Phys 142:243–262
Liu F, Goldenfeld N (1990) Phys Rev A 42(2):895
Mie G (1908) Annalen der Physik 25 (3):377–445
Murphy CJ (2002) Science 298:2139–2141
Murphy CJ, Sau TK, Gole AM, Orendorff CJ, Gao J, Gou L, Hunyadi SE, Li T (2005) J Phys Chem B 109:1385713870
Pérez-Juste J, Pastoriza-Santos I, Liz-Marzán L, Mulvaney P (2005) Coordination Chem Rev 249:1870–1901
Pidaparti RM, Murugesan K, Yokota H (2006) J Computat Theoret Nanosci 3(5):643–648
Rosi NL, Mirkin CA (2005) Chem Rev 105: 15471562
Sau TK, Murphy CJ (2004) J Am Chem Soc 126:8648
Stone JW, Sisco PN, Goldsmith EC, Baxter SC, Murphy CJ (2007) NanoLetters 7(1):116–119
Taylor JE (1992) Acta Metal Mat 40(7):1475–1485
Tong L, Zhao Y, Huff T, Hansen M, Wei A, Cheng J (2007) Adv Mat 19(20):3136–3141
Yu YY, Change SS, Lee CL, Wang CRC (1997) J Phys Chem B 101:6661
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Ray, T.R., Murphy, C.J., Baxter, S.C. (2009). Diffusion Linked Solidification Model of Axisymmetric Growth of Gold Nanorods. In: Gilat, R., Banks-Sills, L. (eds) Advances in Mathematical Modeling and Experimental Methods for Materials and Structures. Solid Mechanics and Its Applications, vol 168. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3467-0_15
Download citation
DOI: https://doi.org/10.1007/978-90-481-3467-0_15
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3466-3
Online ISBN: 978-90-481-3467-0
eBook Packages: EngineeringEngineering (R0)