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G. Ferraris, E. Makovický, S. Merlino (2004)
Crystallography of Modular Materials
G. Friedel
Etude sur les groupements cristallins
M. Nespolo, G. Ferraris (2000)
Twinning by syngonic and metric merohedry. Analysis, classification and effects on the diffraction patternZeitschrift für Kristallographie - Crystalline Materials, 215
(1894)
Neues Jahrb
(1956)
Composition and Properties of Staurolite
(2003)
International Tables for Crystal-lography , Vol. D, edited by A. Authier, Section 3.3. Dordrecht: D. Reidel Publishing Company. Nespolo and Ferraris (cid:2)
G. Donnay, J. Donnay (1974)
Classification of triperiodic twinsCanadian Mineralogist, 12
A. Santoro (1974)
Characterization of twinningActa Crystallographica Section A, 30
Velinda Alexander (1989)
Iron distribution in staurolite at room and low temperaturesAmerican Mineralogist, 74
R. Bonnet, F. Durand (1975)
Study of intercrystalline boundaries in terms of the coincidence lattice conceptPhilosophical Magazine, 32
(1974)
Acta Cryst
Theo Hahn (2002)
International tables for crystallography
(1904)
Extract from Bulletin de la Société de l'Industrie Minérale, Quatriè me Sé rie
St. Náray-Szabó
VII. The structure of stauroliteZeitschrift für Kristallographie - Crystalline Materials, 71
M. Nespolo (2004)
Twin point groups and the polychromatic symmetry of twinsZeitschrift für Kristallographie - Crystalline Materials, 219
(2000)
Z. Kristallogr. 215 , 77–81. Nespolo, M. & Ferraris, G. (2003)
Ná ray-Szabó, I. (1929)
M. Nespolo, G. Ferraris (2005)
Hybrid twinning – a cooperative type of oriented crystal associationZeitschrift für Kristallographie - Crystalline Materials, 220
N. Henry, K. Lonsdale, J. Kasper, C. Macgillavry, G. Rieck, J. Ibers, W. Hamilton (1962)
International tables for X-ray crystallography
M. Nespolo, G. Ferraris (2003)
Geminography — The science of twinning applied to the early-stage derivation of non-merohedric twin lawsZeitschrift für Kristallographie - Crystalline Materials, 218
D. Griffen, T. Gosney, P. Revell (1982)
The chemical formula of natural stauroliteAmerican Mineralogist, 67
G. Friedel
Leçons de cristallographie
(1983)
Tschermaks Mineral
M. Nespolo, G. Ferraris (2006)
The derivation of twin laws in non-merohedric twins. Application to the analysis of hybrid twins.Acta crystallographica. Section A, Foundations of crystallography, 62 Pt 5
I. Náray-Szabó, K. Sasvári (1958)
On the structure of staurolite, HFe2Al9Si4O24Acta Crystallographica, 11
E. Dana (1876)
On new twins of staurolite and pyrrhotiteAmerican Journal of Science, s3-11
It is shown that the twin index n calculated, according to Friedel, as a function of the indices (hkl) and [uvw] of the lattice plane and lattice direction defining the cell of the twin lattice applies only to twofold twins, i.e. twins where the twin element is of order 2. For manifold twins, where the twin operation is a three‐, four‐ or sixfold (direct or inverse) rotation, it is shown that the generalized formula becomes n = NΞ/ξ, where N is the number of lattice planes of the (hkl) family passing within the cell of the twin lattice, Ξ the two‐dimensional coincidence index for a plane of the (hkl) family and ξ the number of planes out of N of that family that are partially restored by the twin operation. The existence of twin lattice quasi‐symmetry (TLQS) twins with zero‐obliquity in manifold twins leads to the introduction of a new parameter as a general measure of the pseudo‐symmetry of TLQS rotation twins: the twin misfitδ, defined as the distance between the first nodes along the two shortest directions in the plane of LT (quasi‐)perpendicular to the twin axes that are quasi‐restored by the twin operation. Taking the example of staurolite twins, several inconsistencies in the treatment of manifold twins are pointed out.
Acta Crystallographica Section A Foundations of Crystallography – Wiley
Published: May 1, 2007
Keywords: ; ; ; ;
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