An analytical solution to the kinetics of growth of gold nanorods

Abstract

An analytical solution of a mathematical model is reported to explain the growth kinetics of gold nanorods grown via seed mediated synthesis.

Theoretical framework and experimental methodology to elucidate the supersaturation dynamics of nanocrystal growth

“…When seed-mediated reactions have an induction period, during which precursor is converted into monomer such as in autocatalytic reactions, they often show sigmoidal kinetics. 56–58 These kinetics can be represented empirically by the Boltzmann sigmoid function, 59 where t 0 denotes the sigmoidal inflection point, andThus, supersaturation can be characterized via one of eqn (7)–(9), in which R NC ( t ) is specified by eqn (12) for pseudo-first-order reactions, eqn (15) for low-order reactions with an induction period, or higher-order equations for reactions with greater kinetic complexity. 41,43…”

“…When seed-mediated reactions have an induction period, during which precursor is converted into monomer such as in autocatalytic reactions, they often show sigmoidal kinetics. [56][57][58] These kinetics can be represented empirically by the Boltzmann sigmoid function, 59 C NC ðtÞ ¼…”

Liquid-state quantitative SERS analyzer on self-ordered metal liquid-like plasmonic arrays

“…This feature limits the self-assembly of GNR arrays at the liquid/liquid interface. 35 , 36 The poly(4-styrenesulfonic acid) (PSS) molecule, as the detergent and mediation agent 30 , 37 , was used to replace CTAB surfactants on the GNR surface because of its preferential accumulation of higher molecular weight substances on the solid surface. The PSS molecule adsorbs weakly onto GNR surfaces in the absence of CTAB; nevertheless, PSS-capped GNR (Pss-GNR) sols could be obtained within a short time.…”

“…Conventional synthesis of GNR sols commonly produces a significant fraction of thermodynamically favorable irregular structures, such as dog bone-like structures 35 . The main reason is the preferential binding of CTAB molecules to the middle of the nanorods, resulting in the deposition of more gold atoms at the ends 5 .…”

Tuning and tracking the growth of gold nanoparticles synthesized using binary surfactant mixtures

“…Due to this colour change, it is assumed that there is a complete formation of Au 1+ in all our experiments. A number of mechanisms have been proposed to explain the diffusion of Au 1+ by different research groups [37][38][39] and it is not part of the discussion here. Since our main aim is to understand the shape evolution of Au NPs in a binary surfactant system, we focus our discussion on the last two steps, which are crucial for understanding how the CTAB coated Au seeds develop into different morphologies.…”