“…This transition was shown to be structurally identical to the archetype perovskite SrTiO 3 [6] and related to the softening of the triply degenerate R 15 eigenmode located at the R(0.5, 0.5, 0.5) point of the first cubic Brillouin zone. The second transition occurring at T c = 31.5 K [4,5,7,8] gives rise to an orthorhombic symmetry without any group-subgroup relation with the tetragonal one and then this transition shows a first order character. In the case of KCaF 3 , two SPTs were previously observed at high temperature [9][10][11][12]: the first at 560 K is due to the simultaneous condensation of eigenmodes located at the R(0.5, 0.5, 0.5) and M(0.5, 0, 0.5) points of the cubic Brillouin zone and the last occurring at 551 K is associated with an additional condensation of one component of one eigenmode at the R(0.5, 0.5, 0.5) point of the cubic reciprocal space.…”