2008
DOI: 10.1093/acprof:oso/9780199545698.001.0001
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Crystallography of Modular Materials

Abstract: Brief outline 2 1.2 Hierarchical classification of structures 3 1.3 Short recapitulation of non-modular categories of similarity 5 1.4 Elements of modular description. Types of homologous/ polysomatic series 9 1.5 Polysomatism 35 1.6 Chemical composition series 41 1.7 Variable-fit homologous series and series with a combined character 42 1.8 Merotype and plesiotype series 57 1.9 Ordered derivatives of solid solutions as modular structures 110 1.10 Principles of prediction of modular structures 113 2 OD structu… Show more

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Cited by 170 publications
(219 citation statements)
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“…The most recent structural interpretation of the bastnäsite-synchysite group, with the general formula: Ca m (REE) n (CO 3 ) n+m (F,OH) n (bastnäsite, m = 0, n = 1; synchysite, m = 1, n = 1; parisite, m = 1, n = 2; röntgenite, m = 2, n = 3 [28]), considers order-disorder (OD) formalism akin to that seen in vaterite [29]. In this case, the polytypism and OD phenomena are attributed only to the Ca-based layer (as in vaterite) whereas the REE-layers, although analogous to the Ca-based OD layer, has a p32 layer symmetry and thus their stacking does not lead to polytypism and OD phenomena.…”
Section: Introductionmentioning
confidence: 99%
“…The most recent structural interpretation of the bastnäsite-synchysite group, with the general formula: Ca m (REE) n (CO 3 ) n+m (F,OH) n (bastnäsite, m = 0, n = 1; synchysite, m = 1, n = 1; parisite, m = 1, n = 2; röntgenite, m = 2, n = 3 [28]), considers order-disorder (OD) formalism akin to that seen in vaterite [29]. In this case, the polytypism and OD phenomena are attributed only to the Ca-based layer (as in vaterite) whereas the REE-layers, although analogous to the Ca-based OD layer, has a p32 layer symmetry and thus their stacking does not lead to polytypism and OD phenomena.…”
Section: Introductionmentioning
confidence: 99%
“…7, the two stacking possibilities lead to non-equivalent pairs of adjacent layers. Such polytypes are said to be of the non-order-disorder (OD) type (Ferraris et al, 2008). Since every A n layer can contact in two ways to the adjacent A nþ1 layer, the (1) complexes can in principle be arranged to an infinity of different polytypes, which all belong to the same non-OD polytype family.…”
Section: Figurementioning
confidence: 99%
“…Polytypes are modular structures (Ferraris et al, 2008) that are composed of equivalent layers (or more generally rods or blocks) arranged into non-equivalent stackings. Polytypes, which are ubiquitous in all classes of materials, can crystallize with different degrees of order, ranging from perfectly ordered to purely random stackings.…”
Section: Introductionmentioning
confidence: 99%
“…A modular layer (ML) [52,53] is a sheet or plane of atoms organized in a regular 2D array. For closed-packed structures (CPSs), this is a hexagonal net.…”
Section: Chaotic Crystallographymentioning
confidence: 99%