D.T. Cuskelly et al. / Journal of Solid State Chemistry 233 (2016) 150–157
155
For each of the different M–Al–C systems, each half reaction
can proceed at its own rate on the proviso that the rate of MAX
phase formation cannot exceed the rate of oxygen exchange. The
rates are governed by a complicated interplay of many parameters.
First, the thermodynamic drive is quite different for each system as
may be seen for the oxide decomposition in Table 2. Second, the
reactants are in the form of a mixed powder with local variations
in composition and the density of inter-particle contacts of a
particular type. For example, the oxygen exchange half-reactions
such as Eq. (13) rely upon direct contact between M-oxide parti-
cles and Al droplets.2 This microstructural aspect is strongly in-
fluenced by the particle size, particle shape, green density and the
deformability of the particles. Third, there are likely to be highly
localised temperature variations due to the liberation of the half-
reaction enthalpies at reacting inter-particle contacts. Examination
of Table 2 indicates that this is likely to vary widely between
the different systems studied. A number of features of the res-
ults presented here may be discussed within this qualitative
framework.
The formation of mixed MAX phases occurred in every system
where more than one MAX phase was available. A-element defi-
cient phases are common in MAX phase production and in stan-
dard methods this is normally observed as the MX binary. How-
ever higher order MAX phases are also A-element deficient var-
iants of M2AlC phases, having a closer stoichiometry with respect
to both the M–A ratio and the M–C ratio. A-element losses account
for both the presence of the higher order phases in the 211 for-
mulations of this study and the need to modify starting powder
ratios to achieve enhanced yields in some systems. They are be-
lieved to be the result of vapour transport.
The equilibrium vapour pressure of Al at the temperatures in-
dicated in Table 3 lies in the moderate range 9.7 Pa (M¼Ti, V, Cr)
to 122 Pa (M¼Nb). However, as briefly discussed previously [10],
these are far from closed systems. In a reactive sintering experi-
ment such as these, Al vapour is highly mobile and reactive. It is
continually flushed from the furnace chamber by the flowing ar-
gon atmosphere as well as adsorbing on chamber walls and con-
densing on cooler parts of the furnace system remote from the hot
zone. In a given furnace environment, the degree of A-element
deficiency observed therefore depends upon a combination of the
(overallþlocal) synthesis temperature as well as the hold time.
The temperature, which governs the equilibrium vapour pressure,
is constrained by the stability range and formation kinetics of the
MAX phase and any intermediate phases which may preceed MAX
phase formation. In the Ta and V systems, Al losses were so great
that very little MAX phase was observed in the products prior to
adjustment of the reactant ratios. Although these two systems
suffered from the same problem and both benefited from the same
remedy, the underlying reasons may be different. Preliminary ex-
perimentation in the Ta system with sintering temperatures of
1400 °C (not shown in this work) failed to produce any MAX
phase. When the temperature was raised to 1550 °C synthesis was
successful. Conversely, in the V system, the reactivity is so high
there was a propensity to undergo spontaneous SHS reaction. This
suggests that in the latter system, even under macroscopically
non-SHS conditions, locally high temperatures are caused by the
rapid oxygen exchange reaction and this leads to an excess of Al
loss. In the Ta system, it may be that 1550 °C is at the upper end of
the MAX phase stability range.
Fig. 5. XRD data of the V–Al–C system (top) after SHS in the furnace and (bottom)
MASHS within the ball mill. The V3AlC2 and V4AlC3 phases can be easily identified
in the 5–15° 2θ range. Again only selected peaks are marked.
4. Discussion
Table 4 presents a summary of the M–Al–C MAX phases able to
be produced via an exchange reaction in this work. Overall the
method is applicable to all systems analysed in this study and
indeed almost every composition, indicating the exchange reac-
tion is a very general synthesis technique. The complete absence of
the Ta3AlC2 phase may be due to the sintering conditions being
unsuitable however Ta3AlC2 has only ever been synthesised as
small single crystals and may not form bulk polycrystals [38]. Gi-
ven the success of all other systems, and the formation of both
Ta2AlC and Ta4AlC3, it is unlikely that the exchange reaction
methodology is the reason for the failure to produce Ta3AlC2.
It is qualitatively useful to consider the exchange reactions to
proceed via two half-reactions although the exact reaction me-
chanism is likely to be more complex and would require extensive
rapid in situ diffraction studies to observe.1 The two half-reactions
comprise M-oxide reduction by Al oxidation (or oxygen exchange)
followed by MAX phase formation. For example in the Ti–Al–C
system, Eq. (4) can be written:
6TiO2þ8Al-6Tiþ4Al2O3
(13)
In general, optimisation of a MAX phase system is a compro-
mise between the (often unknown) stability range of the desired
product phase, the kinetics of MAX phase formation and the ki-
netics of A-element losses. It is managed by adjusting both the
6Tiþ3Alþ3C-3Ti2AlC
(14)
1
By analogy with other MAX phase synthesis paths, it may be expected that
intermediate phases will form as transitional steps between these half-reactions.
2
Al melts at 660 °C on the heating ramp.