Original language | English (US) |
---|---|
Pages (from-to) | 841-845 |
Number of pages | 5 |
Journal | Scripta Metallurgica et Materiala |
Volume | 25 |
Issue number | 4 |
DOIs | |
State | Published - Apr 1991 |
ASJC Scopus subject areas
- General Engineering
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In: Scripta Metallurgica et Materiala, Vol. 25, No. 4, 04.1991, p. 841-845.
Research output: Contribution to journal › Article › peer-review
TY - JOUR
T1 - Further statistical analysis of the composition of a ∑ ≅9 ≈(-1,-1,4) grain boundary in a Mo(Re) alloy studied by atom-probe field-ion microscopy
AU - Udler, D.
AU - Hu, J. G.
AU - Kuo, S. M.
AU - Seki, A.
AU - Krakauer, B. W.
AU - Seidman, D. N.
N1 - Funding Information: First, we compare the three integral profiles employing the "two-sided" alternative which is a worst case confidence estimate of the data. For the integral profiles in Fig. 2(a) and 2(b) we get z = 1.90 and (1 - \[3) is in excess of 94%; i.e, this large a value of (1 - \[3) allows us to distinguish this GB concentration from the matrix concentration. However, for the profiles in Fig. 2(a) and 2(c) we obtain z = 0.01 and (1 - \[3) = 0.008; this implies that we can consider the measured concentrations to be identical with a very "good confidence." Physically this implies the GB concentration profile is very narrow; and this justifies the correction we made for the matrix contribution to the data exhibited in Fig. 6 of reference I, to obtain a minimum corrected segregation enhancement factor of 1.75 with respect to the matrix concentration.\[l,2\]F inally for the profiles in Figs. 2(b) and 2(c) z = 1.27 and (1 - ~) is about 80%; this implies that with a fairly "good degree of confidence" we can distinguish the concentrations. Once again this is consistent with the point that the Re concentration profile is highly localized at the GB. Therefore it is justified to employ the "one-sided" alternative "equal" vs. "greater than." For the "one-sided" alternative (1 - ~) equal to 94, 0.008, and 80% become (1 - \[3) equal to 97, 0.004 and 90%. In summary, a more detailed statistical analysis of all the data presented in reference I --also see Fig. 2 of this paper --is consistent with all the conclusions we reached earlier.\[1 ,2\] This research was supported by the National Science Foundation (Dr. B. MacDonald, contract officer) on grant No. DMR-8819074. This work made use of the central facilities supported by the National Science Foundation through Northwestern University's Materials Research Center, grant No. DMR-8821571. A. Seki was kindly supported by Sumitomo Metals Inc., Osaka, Japan.
PY - 1991/4
Y1 - 1991/4
UR - http://www.scopus.com/inward/record.url?scp=0026138591&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0026138591&partnerID=8YFLogxK
U2 - 10.1016/0956-716X(91)90235-S
DO - 10.1016/0956-716X(91)90235-S
M3 - Article
AN - SCOPUS:0026138591
SN - 0956-716X
VL - 25
SP - 841
EP - 845
JO - Scripta Metallurgica et Materiala
JF - Scripta Metallurgica et Materiala
IS - 4
ER -