We report a new structure determination of the Sr1.2872NiO3 incommensurate composite
hexagonal perovskite compound. Three different refinement strategies are presented: (i) a
3D supercell approximation with a nonharmonic development of the atomic displacement
factor, (ii) an original (3+1)D incommensurate composite description with the use of crenel
functions, and (iii) a (3+1)D commensurate composite model. The three strategies are
discussed and compared to previous refinements carried out for the hexagonal perovskites
in a classical way or with the superspace group formalism. Out of the three methods, the
incommensurate composite approach gives slightly better results with a final global R value
of 2.89% for 635 independent reflections (at a I/σ(I) > 2 level) and only 60 parameters
(R3̄m(00γ)0s superspace group; a = 9.5177(7) Å, c = 2.5739(2) Å, q = 0.64359(4)c*, V =
201.93(4) Å3, and Z = 3). The use of crenel functions notably improves previously reported
results. New structural features are evidenced for Sr1.2872NiO3: (i) an incommensurate
character, (ii) a splitting of the trigonal prismatic nickel atoms over 5 positions, (iii) a definite
stoichiometry which induces a perfect charge balance, and (iv) a nonharmonic behavior of
some Sr atoms. Those characteristics seem general to most hexagonal perovskite compounds
and essential for correctly interpreting their interesting magnetic properties. Finally, a new
generic formulation is proposed, which explains the various stoichiometries observed and
suggests a new compound possibility.
The crystal structures, atomic distributions, and theoretical electronic structures of five different Cu5-xZn8+x gamma-brass compounds (x = -0.59(3), -0.31(3), 0.00(3), 0.44(3), and 0.79(3)) are reported with the goal of identifying chemical influences on the observed phase width. These structures have been refined by both neutron and X-ray powder diffraction to obtain accurate crystal chemical parameters. All compounds crystallize in the space group Iz3m (No. 217) (Z = 4), and the unit cell parameters are a = 8.8565(4), 8.8612(5), 8.8664(3), 8.8745(4), and 8.8829(7) A, respectively, for Cu5.59Zn7.41, Cu5.31Zn7.69, Cu5.00Zn8.00, Cu4.56Zn8.44, and Cu4.21Zn8.79. The results indicate specific site substitutions on both sides of the ideal composition "Cu5Zn8". In all cases, the 26-atom cluster building up the -brass structure shows a constant inner [Cu4Zn4] tetrahedral star with compositional variation occurring at the outer octahedron and cuboctahedron. First principles and semiempirical electronic structure calculations using both a COHP and Mulliken population analysis were performed to understand the observed compositional range and to address the "coloring problem" for the site preferences of Cu and Zn atoms for this series of compounds.
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