2004
DOI: 10.1103/physreve.70.031604
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Growth rate of a crystal facet of arbitrary size and growth kinetics of vertical nanowires

Abstract: We present a modification of the Kolmogorov-Johnson-Mehl-Avrami crystallization model to the case of a finite size crystal facet growing layer by layer. A general expression for the facet growth rate is derived that provides an asymptotic matching to the known limit cases of very small and very large facets. The derived expression is applied to the study of the growth kinetics of vertical nanowires in the "vapor-liquid-solid" growth mechanism. The presented model generalizes the Givargizov-Chernov theory of wh… Show more

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Cited by 117 publications
(114 citation statements)
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“…For instance, Akiyama et al calculated a critical radius of 5.6 nm for GaAs NWs. These approaches have in common to treat the energetics of fully formed NWs and to predict critical radii far too small to explain the occurrence of WZ in NWs with radii up to at least 100 nm.On the other hand, from the very beginnings of VLS studies, it has been argued that the two-dimensional (2D) nucleation of new solid layers from the supersaturated liquid was of paramount importance [14] and most theories of NW growth take nucleation into account [15,16,17]. The fact that the faults in each phase and those separating ZB and WZ regions are perpendicular to the growth axis, in other words that each monolayer (ML) of III-V pairs is uniform in structure and orientation, strongly suggests that, once a nucleus of critical size is formed, it rapidly spreads out laterally over the whole solid/liquid (SL) interface [5,11], unless the wire is very wide .…”
mentioning
confidence: 99%
“…For instance, Akiyama et al calculated a critical radius of 5.6 nm for GaAs NWs. These approaches have in common to treat the energetics of fully formed NWs and to predict critical radii far too small to explain the occurrence of WZ in NWs with radii up to at least 100 nm.On the other hand, from the very beginnings of VLS studies, it has been argued that the two-dimensional (2D) nucleation of new solid layers from the supersaturated liquid was of paramount importance [14] and most theories of NW growth take nucleation into account [15,16,17]. The fact that the faults in each phase and those separating ZB and WZ regions are perpendicular to the growth axis, in other words that each monolayer (ML) of III-V pairs is uniform in structure and orientation, strongly suggests that, once a nucleus of critical size is formed, it rapidly spreads out laterally over the whole solid/liquid (SL) interface [5,11], unless the wire is very wide .…”
mentioning
confidence: 99%
“…17 Recently, within a nucleation mediated growth scenario, both linear and quadratic dependences of nanowire growth rates on Δμ have been reported. 18,[26][27][28] Accordingly, altering the supersaturation will readily influence the growth behavior of nanowires, favoring faster crystallization rates at high Δμ values. Directly influencing Δμ to manipulate the growth rate of nanowires has previously been achieved by altering the partial pressure of the vapor source, 29 according to…”
mentioning
confidence: 99%
“…The use of a low-temperature NiO catalyst (at the same pressures and flow velocities of argon and target-substrate distances) makes it possible to reduce the growth temperature to 570°C . The minimum radius of a growing nanowire decreases (at a constant gas flow), approximately inversely proportionally to the growth temperature [8]. HRTEM analysis showed that ZnO nanowires in the ZnO/NiO/GaN/Si(111) structure are completely free of dislocations and have a perfect internal structure (Fig.…”
mentioning
confidence: 98%