title: The α ↔ β phase transitions of Zn2P2O7 revisited: existence of an additional intermediate phase with an incommensurately modulated structure.
abstract: Zn2P2O7 crystallizes in a thortveitite-like structure and features temperature-dependent polymorphism. At high temperatures (T > 500 K), the aristotype phase β-Zn2P2O7 (C2/m, Z = 2, a ≃ 6.60, b ≃ 8.28, c ≃ 4.53 Å, β ≃ 105.4°) is stable. At lower temperatures the lock-in phase α1-Zn2P2O7 [at 350 K: I2/c, Z = 12, a = 20.1131 (13), b = 8.2769 (6), c = 9.109 (3) Å, β = 106.338 (16)°], a sixfold superstructure with commensurate modulation vector q = (1/3, 0, 1/2), is stable. Between the stability ranges of the α1- and β-phases exists the intermediate, incommensurately modulated α2-Zn2P2O7 phase with modulation wavevector q ≃ (0.33, 0, 0.40) and C2/m(α, 0, γ)0s superspace group symmetry. The α1 → α2 lock-in phase transition at TL = 408 K is of first-order and features virtually no hysteresis. It is immediately followed by the second-order α2 → β transition to the non-modulated phase at TI ≃ 430 K. This transformation is sluggish and even at T = 500 K very weak satellite reflections of the α2-phase were observed. Both phase transitions were analyzed with differential scanning calorimetry and high-temperature powder and single-crystal X-ray diffraction. The crystal structures of the α1- and α2-phases were refined from single crystal data collected at T = 350, 400, 405, 410, 415, 420, 425, 430, 450 and 500 K. Different models describing the slow transition from the incommensurately modulated α2- to the non-modulated β-phase were tested. In the model resulting in the best residuals, the bridging O atom of the [P2O7] group, which is located on a 2/m position in the basic structure, is described as an overlap of an atom ordered in internal space and one atom disordered around the mirror plane. The occupancy of the ordered atom decreases with temperature until at T = 500 K virtually only the disordered atom remains. Simultaneously, the amplitude of the modulation functions of the remaining atoms decreases, so that the T = 500 K structure can be considered as the C2/m aristotype structure, although the diffraction pattern still features satellite reflections of first order with very low intensities.
authors.affiliation: Vienna University of Technology, Institute of Chemical Technologies and Analytics, Getreidemarkt 9/164-SC, 1060 Vienna, Austria.
authors.forename: Berthold
authors.initials: B
authors.lastname: Stöger
authors.affiliation: Vienna University of Technology, Institute of Chemical Technologies and Analytics, Getreidemarkt 9/164-SC, 1060 Vienna, Austria.
authors.forename: Matthias
authors.initials: M
authors.lastname: Weil
authors.affiliation: Department of Structure Analysis, Institute of Physics of the Academy of Sciences of the Czech Republic, Na Slovance 2, 18221 Praha 8, Czech Republic.
authors.forename: Michal
authors.initials: M
authors.lastname: Dušek