Schematic
representation of group–subgroup relationships
between the four phases of [MnIII(3,5-diCl-sal2(323))]BPh4 (1). Pc, P1, and P1(1/2) are each subgroups
of Cc (blue lines) but do not have a group–subgroup
relationship between them. Arrows on solid lines indicate the sequence
of transitions with decreasing temperature. The Cc and Pc structures are related by the order parameter qY1, which belongs to the irrep Y1, and the transition is allowed by symmetry to be second order.
The Cc and P1 structures are related
by the order parameter qV1,
which belongs to the irrep V1. Cc and P1(1/2) structures are related by the order parameter qΓ2, which belongs to the irrep
Γ2. In the absence of group–subgroup relationships
between the three lower temperature structures, transitions between
them must necessarily be first order in character.