Citation: Straumal, B.; Lepkova, T.;
Korneva, A.; Gerstein, G.;
Kogtenkova, O.; Gornakova, A. Grain
Boundary Wetting by the Second
Solid Phase: 20 Years of History.
Metals 2023, 13, 929. https://
doi.org/10.3390/met13050929
Academic Editor: Xiao-Wu Li
Received: 17 March 2023
Revised: 30 April 2023
Accepted: 8 May 2023
Published: 10 May 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
metals
Review
Grain Boundary Wetting by the Second Solid Phase: 20 Years
of History
Boris Straumal
1,2,
*, Tatiana Lepkova
2
, Anna Korneva
3
, Gregory Gerstein
4
, Olga Kogtenkova
1
and Alena Gornakova
1
1
Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Ac. Osipyan Str. 2,
142432 Chernogolovka, Russia; kogtenkova@issp.ac.ru (O.K.); alenahas@issp.ac.ru (A.G.)
2
Department of Physical Chemistry, National University of Science and Technology “MISIS”,
119049 Moscow, Russia; lepkovatl@mail.ru
3
Institute of Metallurgy and Materials Science, Polish Academy of Sciences, Reymonta St. 25,
30-059 Cracow, Poland; a.korniewa@imim.pl
4
Institut für Werkstoffkunde (Materials Science), Leibniz Universität Hannover, An der Universität 2,
30823 Garbsen, Germany; gerstein@iw.uni-hannover.de
* Correspondence: straumal@issp.ac.ru; Tel.: +7-916-6768-673
Abstract: Grain boundaries (GBs) can be wetted by a second phase. This phase can be not only
liquid (or melted), but it can also be solid. GB wetting can be incomplete (partial) or complete. In
the case of incomplete (partial) wetting, the liquid forms in the GB droplets, and the second solid
phase forms a chain of (usually lenticular) precipitates. Droplets or precipitates have a non-zero
contact angle with the GB. In the case of complete GB wetting, the second phase (liquid or solid)
forms in the GB continuous layers between matrix grains. These GB layers completely separate
the matrix crystallites from each other. GB wetting by a second solid phase has some important
differences from GB wetting by the melt phase. In the latter case, the contact angle always decreases
with increasing temperature. If the wetting phase is solid, the contact angle can also increase with
increasing temperature. Moreover, the transition from partial to complete wetting can be followed by
the opposite transition from complete to partial GB wetting. The GB triple junctions are completely
wetted in the broader temperature interval than GBs. Since Phase 2 is also solid, it contains GBs as
well. This means that not only can Phase 2 wet the GBs in Phase 1, but the opposite can also occur
when Phase 1 can wet the GBs in Phase 2. GB wetting by the second solid phase was observed in the
Al-, Mg-, Co-, Ni-, Fe-, Cu-, Zr-, and Ti-based alloys as well as in multicomponent alloys, including
high-entropy ones. It can seriously influence various properties of materials.
Keywords: grain boundaries; wetting; melt; solid phase; phase transitions; phase diagrams
1. Introduction
The phenomenon of wetting of solid surfaces with liquids has been known for many
centuries. The study of wetting metal or ceramic surfaces with melts has a shorter history.
In reality, this issue began to be investigated shortly after the Second World War, when the
technology of liquid-phase sintering of metal or ceramic powders was developed [1]. With
incomplete (or partial) wetting of the free surface, a droplet of the liquid phase lies on a
solid surface and forms a non-zero contact angle θ with it. Incomplete wetting occurs if
σ
SG
< σ
SL
+ σ
LG
where σ
SG
is the energy of the solid-gas interface, σ
sl
is the energy of the
boundary between solid and liquid phases, and σ
lg
is the energy of the boundary between
the liquid phase and gas. It follows from the conditions of mechanical equilibrium that
σ
SG
= σ
SL
+ σ
LG
cos θ. If σ
SG
> σ
SL
+ σ
LG
, complete wetting occurs, the liquid spreads over
the surface, and the contact angle between the liquid droplet and the solid substrate is
formally equal to zero.
Metals 2023, 13, 929. https://doi.org/10.3390/met13050929 https://www.mdpi.com/journal/metals