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@@ -155,6 +155,7 @@ action of the point group, or
\epsilon_\Btg^{(1)}=2\epsilon_{12} \\
\epsilon_\Eg^{(1)}=2\{\epsilon_{11},\epsilon_{22}\}.
\end{aligned}
+ \label{eq:strain-components}
\end{equation}
Next, all quadratic combinations of these irreducible strains that transform
like $\Aog$ are included in the free energy as
@@ -183,7 +184,7 @@ If $\X$ is a representation not present in the strain there can be no linear
coupling, and the effect of $\eta$ going through a continuous phase transition
is to produce a jump in the $\Aog$ strain stiffness. We will therefore focus
our attention on order parameter symmetries that produce linear couplings to
-strain.
+strain. Looking at the components present in \eqref{eq:strain-components}, this rules out all of the u-reps (odd under inversion) and the $\Atg$ irrep as having any anticipatory response in the strain stiffness.
If the order parameter transforms like $\Aog$, odd terms are allowed in its
free energy and any transition will be abrupt and not continuous without