Analyzing capture zone distributions (CZD) in growth: Theory and applications

Theodore L. Einstein; Alberto Pimpinelli; Diego Luis González

doi:10.1016/j.jcrysgro.2014.01.053

Analyzing capture zone distributions (CZD) in growth: Theory and applications

Theodore L. Einstein, Alberto Pimpinelli, Diego Luis González

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) P(s)=^asβexp(-^bs2), where s is the CZ area divided by its average value. This approach offers arguably the most robust (least sensitive to mass transport) method to find the critical nucleus size i, since β ≈i+2. Various analytical and numerical investigations, which we discuss, show that the simple GWD expression is inadequate in the tails of the distribution, it does account well for the central regime 0.5<s<2, where the data is sufficiently large to be reliably accessible experimentally. We summarize and catalog the many experiments in which this method has been applied.

Original language	English (US)
Pages (from-to)	67-71
Number of pages	5
Journal	Journal of Crystal Growth
Volume	401
DOIs	https://doi.org/10.1016/j.jcrysgro.2014.01.053
State	Published - Sep 1 2014

Keywords

A1. Crystal morphology
A1. Growth models
A1. Low dimensional structures
A1. Surface structure
A2. Single crystal growth

ASJC Scopus subject areas

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

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10.1016/j.jcrysgro.2014.01.053

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title = "Analyzing capture zone distributions (CZD) in growth: Theory and applications",

abstract = "We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) P(s)=asβexp(-bs2), where s is the CZ area divided by its average value. This approach offers arguably the most robust (least sensitive to mass transport) method to find the critical nucleus size i, since β ≈i+2. Various analytical and numerical investigations, which we discuss, show that the simple GWD expression is inadequate in the tails of the distribution, it does account well for the central regime 0.5",

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author = "Einstein, {Theodore L.} and Alberto Pimpinelli and {Luis Gonz{\'a}lez}, Diego",

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T1 - Analyzing capture zone distributions (CZD) in growth

T2 - Theory and applications

AU - Einstein, Theodore L.

AU - Pimpinelli, Alberto

AU - Luis González, Diego

PY - 2014/9/1

Y1 - 2014/9/1

N2 - We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) P(s)=asβexp(-bs2), where s is the CZ area divided by its average value. This approach offers arguably the most robust (least sensitive to mass transport) method to find the critical nucleus size i, since β ≈i+2. Various analytical and numerical investigations, which we discuss, show that the simple GWD expression is inadequate in the tails of the distribution, it does account well for the central regime 0.5

AB - We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) P(s)=asβexp(-bs2), where s is the CZ area divided by its average value. This approach offers arguably the most robust (least sensitive to mass transport) method to find the critical nucleus size i, since β ≈i+2. Various analytical and numerical investigations, which we discuss, show that the simple GWD expression is inadequate in the tails of the distribution, it does account well for the central regime 0.5

KW - A1. Crystal morphology

KW - A1. Growth models

KW - A1. Low dimensional structures

KW - A1. Surface structure

KW - A2. Single crystal growth

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DO - 10.1016/j.jcrysgro.2014.01.053

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SN - 0022-0248

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SP - 67

EP - 71

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

ER -

Analyzing capture zone distributions (CZD) in growth: Theory and applications

Abstract

Keywords

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