2008
DOI: 10.1002/jemt.20582
|View full text |Cite
|
Sign up to set email alerts
|

Quantitative binomial distribution analyses of nanoscale like‐solute atom clustering and segregation in atom probe tomography data

Abstract: The applicability of the binomial frequency distribution is outlined for the analysis of the evolution nanoscale atomic clustering of dilute solute in an alloy subject to thermal ageing in 3D atom probe data. The conventional chi(2) statistics and significance testing are demonstrated to be inappropriate for comparison of quantity of solute segregation present in two or more different sized system. Pearson coefficient, mu, is shown to normalize chi(2) with respect to sample size over an order of magnitude. A s… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

2
110
0
2

Year Published

2009
2009
2024
2024

Publication Types

Select...
10

Relationship

0
10

Authors

Journals

citations
Cited by 207 publications
(114 citation statements)
references
References 28 publications
2
110
0
2
Order By: Relevance
“…Data reconstruction and statistical evaluation was conducted using the software package IVASe 3.4.3 from Imago Scientific Instruments (Madison, WI). Frequency distribution analysis [37,38] was performed to examine the distribution of elements in the analyzed volume. Clusters were detected by applying a cluster search algorithm based on the maximum separation method [39].…”
Section: Methodsmentioning
confidence: 99%
“…Data reconstruction and statistical evaluation was conducted using the software package IVASe 3.4.3 from Imago Scientific Instruments (Madison, WI). Frequency distribution analysis [37,38] was performed to examine the distribution of elements in the analyzed volume. Clusters were detected by applying a cluster search algorithm based on the maximum separation method [39].…”
Section: Methodsmentioning
confidence: 99%
“…To evaluate solute clustering in the atom probe data, a range of statistical approaches, such as frequency distribution, [12] contingency table, [13] binomial distribution, [14] and autocorrelation function analyses [15,16] have been developed. [8] These techniques have been applied to evaluate solute clustering behaviors mostly in a single alloy subject to different aging treatments.…”
Section: Experimental Methodsmentioning
confidence: 99%
“…The quality of the fit was quantified using several parameters, as listed in the insert chart. The normalized homogenization parameter, referred to as l, ideally ranges from 0 to 1, where 0 refers to total randomness while 1 represents complete ordering [38,39]. For all four alloying elements, the l values are close to 0, confirming the random distribution of elements in this alloy.…”
Section: Microstructure Development During Processingmentioning
confidence: 98%