Corrigendum
Corrigendum to “Synchrotron tomographic quantification of the
influence of Zn concentration on dendritic growth in Mg-Zn alloys”
[Acta Mater. 156 (2018) 287e296]
A.B. Phillion
a, *
, Sansan Shuai
b
, Enyu Guo
c
, Jiang Wang
b
, Tao Jing
d
, Zhongming Ren
b
,
H. Neumann-Heyme
e
, C. Beckermann
f
, P.D. Lee
g, h, **
a
Department of Materials Science and Engineering, McMaster University, Hamilton, L9S 4L7, Canada
b
School of Materials Science and Engineering, Shanghai University, Shanghai, 200444, China
c
Key Laboratory of Solidification Control and Digital Preparation Technology (Liaoning Province), School of Materials Science and Engineering, Dalian
University of Technology, Dalian,116024, China
d
School of Materials Science and Engineering, Tsinghua University, Beijing, 100084, China
e
Institute of Fluid Dynamics, Helmholtz-Zentrum Dresden-Rossendorf, Dresden, 01328, Germany
f
Department of Mechanical Engineering, University of Iowa, Iowa City, 52242, USA
g
Mechanical Engineering, UCL, London, WC1E 7JE, United Kingdom
h
Research Complex at Harwell, RAL, Didcot, OX11 0FA, UK
In solidification science, the solid-liquid interfacial area density is a key metric that characterizes the overall semi-solid morphology in a
general sense. This interfacial area density can be defined in two different ways. The first is the specific interface area S
s
, which is defined as
the area of the solid-liquid interface A divided by the volume of the enclosed solid volume V
s
, i.e. S
s
¼
A
Vs
. As noted by Neumann-Heyme,
Eckert, and Beckermann [1], the inverse of the specific interface area can be considered a characteristic length scale of the microstruc-
ture. An alternative measure is the interfacial area concentration S
V
, in which the solid-liquid interface A is divided by the sample volume V
that includes both the solid and liquid phases, i.e. S
V
¼
A
V
. The two measures of interfacial area density are related as S
V
¼ g
s
S
s
where g
s
is the
volume fraction of the solid phase.
The authors regret that in their recent paper [2], the terms S
S
and S
V
were not clearly defined, which resulted in an incorrect use of the
Cahn [3] and Rath [4] equation, (Equation (3) in Ref. [2]). to generate Figure 10 of the original manuscript.
The revised figure is shown below as Fig. 1 . This figure compares the experimentally measured variation in S
v
with the prediction given by
Eq (3) in Ref. [2]. assuming that m ¼ n and that K and m are fitting parameters. As can be seen, the model curves are able to match the
experimental data. An important outcome is that now the exponent m has a positive value between 0 and 1, matching other studies in this
field. In the original manuscript, the exponent m had a negative value. This new figure shows clearly the globular structure of the Mg-
25 wt.%Zn solid, having smaller S
v
, while that the hyper-branched structure seen at Mg-38 wt.%Zn and the dendritic structure with branched
arms at Mg-50 wt.%Zn have a very similar morphological evolution, in a general sense.
The error highlighted above did not only occur in Ref. [2], but also in one other of our manuscripts. Fig. 2 is a corrected version of Figure 8b
of [5] where we have again assumed that the exponents m and n are equivalent. Again, a much better fit to the data is achieved.
DOI of original article: https://doi.org/10.1016/j.actamat.2018.06.026.
* Corresponding author. Department of Materials Science and Engineering, McMaster University,1280 Main St West, Hamilton, ON, Canada.
** Corresponding author. Mechanical Engineering, UCL, London, WC1E 7JE, United Kingdom
E-mail addresses: andre.phillion@mcmaster.ca (A.B. Phillion), peter.lee@ucl.ac.uk (P.D. Lee).
Contents lists available at ScienceDirect
Acta Materialia
journal homepage: www.elsevier.com/locate/actamat
https://doi.org/10.1016/j.actamat.2018.11.006
1359-6454/© 2018 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
Acta Materialia 165 (2019) 751e752