2014
DOI: 10.1107/s2052252514017606
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Application of Patterson-function direct methods to materials characterization

Abstract: The aim of this article is a general description of the so-called Patterson-function direct methods (PFDM), from their origin to their present state. It covers a 20-year period of methodological contributions to crystal structure solution, most of them published in Acta Crystallographica Section A. The common feature of these variants of direct methods is the introduction of the experimental intensities in the form of the Fourier coefficients of origin-free Patterson-type functions, which allows the active use… Show more

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Cited by 9 publications
(9 citation statements)
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“…Lincei determination by classical direct methods even when otherwise optimal data with good overall completeness were available. In such cases, solution could be anyway achieved by adopting algorithms less sensitive to missing data, like the Patterson-function d-recycling (Rius 2014), or able to include a priori information, like the zeolitespecific software FOCUS (Grosse- Kunstleve et al 1997). The complex zeolite structure IM-5 (spacegroup Cmcm, cell parameters: a = 14.2 Å , b = 57.2 Å , c = 20.0 Å , Fig.…”
Section: Inorganic Phasesmentioning
confidence: 99%
“…Lincei determination by classical direct methods even when otherwise optimal data with good overall completeness were available. In such cases, solution could be anyway achieved by adopting algorithms less sensitive to missing data, like the Patterson-function d-recycling (Rius 2014), or able to include a priori information, like the zeolitespecific software FOCUS (Grosse- Kunstleve et al 1997). The complex zeolite structure IM-5 (spacegroup Cmcm, cell parameters: a = 14.2 Å , b = 57.2 Å , c = 20.0 Å , Fig.…”
Section: Inorganic Phasesmentioning
confidence: 99%
“…5). It is known that both REE and Cu 2+ can produce clusters with cubane-like core structures of type [REE 4 (µ 3 -OH) 4 ] 8+ (Plakatouras et al, 1994;Xiao-Ming et al, 1997) and [Cu 4 (µ 3 -OH) 4 ] 4+ (Dedert et al, 1982;Sletten et al, 1990). In DCP1 the cubane-like core has 3 µ 3 -OH (O8) and a chlorine atom (Cl1) replacing the fourth apical one.…”
Section: The Tetranuclear Complex: the M2 And M3 (As Well As Cu2) Sitesmentioning
confidence: 99%
“…Rius et al: Structural study of decrespignyite-(Y) and electron beam damage are those minerals based on selfassembly of metal clusters via H bond networks (León-Reina et al, 2013;Capitani et al, 2014;Ventruti et al, 2015;Majzlan et al, 2016). In such cases application of direct methods like δ recycling (δDM) (Rius, 2012a(Rius, , 2014 is more complicated since parts of the structure may not show up in the Fourier map. One such case is represented by decrespignyite-(Y), a mineral with unknown crystal structure.…”
Section: Introductionmentioning
confidence: 99%
“…which involves in the H summation only the large E values (Rius, 2014). Q is updated at the end of each iteration (with Q ini and Q end being the discrepancies at the beginning and at the end of the second stage).…”
Section: ≠0mentioning
confidence: 99%