OD Structures: essentials of OD hypothesis; illustrations and applications. 2 .


47 views
Uploaded on:
Description
Polytypism in xonotlite (1). Xonotlite Ca6Si6O17(OH)2 is for the most part a result of Ca-metasomatism and found, together with other Ca silicates, at the contact of Ca bearing rocks with volcanic rocks. At 775-800
Transcripts
Slide 1

OD Structures: essentials of OD hypothesis; illustrations and applications. (2) Stefano Merlino Department of Earth Sciences, University of Pisa, by means of S. Maria 53, I-56126 Pisa, Italy.

Slide 2

Polytypism in xonotlite (1) Xonotlite Ca 6 Si 6 O 17 (OH) 2 is for the most part a result of Ca-metasomatism and found, together with other Ca silicates, at the contact of Ca bearing rocks with volcanic rocks. At 775-800 °C it dries out to wollastonite by topochemical change (Dent & Taylor, 1956). The main solid model for the structure of xonotlite has been proposed by Mamedov and Belov (1955). On the premise of that basic model, polytypic variations were proposed by Gard (1966) and to a great extent affirmed by Gard himself (1966) and by Chisholm (1980) through electron diffraction thinks about on normal specimens. A thorough presentation and dialog of polytypism in xonotlite has been as of late given by Hejny & Armbruster (2001). It manages every one of the parts of xonotlite polytypism, from the demonstrating and recognizable proof of the different polytypes to the trial investigation of xonotlite tests (Kalahari manganese field, South Africa) to the blueprint of the OD character of xonotlite. We might now exhibit the polytypism in xonotlite directly through the OD approach and we should acknowledge – I trust – how the OD ideas might be to a great degree supportive in depicting and talking about the polytypic viewpoints in regular and engineered mixes.

Slide 3

Polytypism in xonotlite (2) Structural information from Kudoh and Takeuchi (1979) Xonotlite as observed down b Xonotlite as observed down c Xonotlite as observed down a , with b vertical

Slide 4

similar creators have likewise outlined the structure of a conceivable polytypic variation, monoclinic s.g. A 2/a , a = 17.032, b = 7.363, c = 14.023 Å,  = 90.36°,  = 102.18°. On account of xonotlite we may effectively understand its OD character by taking a gander at the consequences of the main exact refinement conveyed by Kudoh & Takeuchi (1979) on gems from Heguri (Chiba Prefecture, Japan). They found a sp. gr. A - 1, with a = 8.712, b = 7.363, c = 14.023 Å,  = 89.99°,  = 90.36°,  = 102.18° Building OD layer. Interpretation vectors b , c , third vector (not an interpretation vector) a 0 = a/2 Layer symmetry A (1)2/m 1 Polytypism in xonotlite (3)

Slide 5

The symmetry properties of the entire OD family are exhibited by posting the symmetry operations of the single layer (  - POs) and the operations relating neighboring layers (  - operations). In xonotlite the arrangement of  - POs compares to the layer aggregate A (1)2/m 1. Contiguous layers might be connected through a twofold screw pivot with interpretation segment b/4 (2 1/2 ) and a float ordinary to b with interpretation segment a 0 ( a 2 ). The image which totally depicts the symmetry properties of the family is: A (1) 2/m (1) 2 1/2/a 2 1 OD character of xonotlite L 0 L 1 L 0 L 1

Slide 6

Constant utilization of 2 - 1/2 operation. Space assemble A - 1. Consistent shift of 2 1/2 and 2 - 1/2 operations. Space gather A 12/a 1. MDO polytypes in xonotlite (layer A 2/m ) L 0 L 1 L 2 L 0 L 1 L 2

Slide 7

Two conceivable OD layers in xonotlite The electron diffraction investigations of xonotlite precious stones from various sources have demonstrated that other principle polytypes are conceivable other than the two we have quite recently inferred. Truth be told there is an alternate conceivable approach to associate along c the basic modules running along b , therefore offering ascend to a particular OD layer. what\'s more, . Though in the layer with A 2/m symmetry progressive pieces were stacked along c with uprooting by b/2, in the new OD layer the squares are stacked along c with no dislodging, hence offering ascend to an OD layer with P (1)2/m 1 symmetry, b and c interpretation ( b = 7.363, c = 7.012 Å), third vector a 0 ( a 0 = 8.516 Å,  = 90.36°). down c , b vertical down a , b vertical down c , b vertical down a , b vertical

Slide 8

as of now said the new OD layer has P (1)2/m 1 layer amass symmetry b and c interpretations ( b = 7.363, c = 7.012 Å) third vector a 0 ( a 0 = 8.516 Å,  = 90.36°). OD hypothesis shows which  - POs are good with the  - POs of the layer assemble P (1)2/m 1, therefore getting the image: P (1) 2/m (1) 2 1/2/a 2 1 Two more MDO structures: P 2/a comparing to the normal shift of 2 1/2 and 2 - 1/2  - POs P - 1 relating to the consistent utilization of 2 1/2 MDO polytypes in xonotlite (layer P 2/m )

Slide 9

MDO polytypes in xonotlite Layer symmetry A (1) 2/m 1 a 0 = 8.516, b = 7.363, c = 14.023 Å,  = 90.36° MDO1 (standard rotation of 2 1/2 and 2 - 1/2 ) space gather A 1 2/a 1 a = 17.032, b = 7.363, c = 14.023 Å,  = 90.36° MDO2 (steady use of 2 1/2 ) space bunch A - 1 a = 8.712, b = 7.363, c = 14.023 Å,  = 89.99°,  = 90.36°,  = 102.18° Layer symmetry P (1) 2/m 1 a 0 = 8.516, b = 7.363, c = 7.012 Å,  = 90.36° MDO1 (general variation of 2 1/2 and 2 - 1/2 ) space aggregate P 1 2/a 1 a = 17.032, b = 7.363, c = 7.012 Å,  = 90.36° MDO2 (consistent use of 2 1/2 ) space amass P - 1 a = 8.712, b = 7.363, c = 7.012 Å,  = 89.99°,  = 90.36°,  = 102.18°

Slide 10

Brochantite (1) Brochantite, Cu 4 SO 4 (OH) 6 is a boundless stage got from change of copper sulfides. Its gem structure was firstly examined (Tsumeb material) by Cocco and Mazzi (1959) who showed the space aggregate P 2 1/an and cell parameters a 13.08, b 9.85, c 6.02 Å ,  103.4°. The coordination around copper molecules is spoken to as squares and pressed tetrahedra (green shading), neglecting the two longest obligations of the octahedral coordination. The sulfate tetrahedra are drawn with red shading. Gem structure of brochantite as observed down b , c vertical.

Slide 11

Brochantite (2) Cocco and Mazzi likewise saw: steady (100) twinning and diffraction design showing orthorhombic symmetry ( C focused pseudo-rhombic cell with A = 2 a + c , B = b , C = c ) reflections with l = 2 n were sharp, while reflections with l = 2 n +1 seemed diffuse (along a* ) non-space-assemble nonappearances: 0 KL (files alluded to the pseudo-rhombic cell) reflections were missing for K = 2 n .

Slide 12

All those elements (twinning, upgrade of symmetry, diffuse streaks and non-space-aggregate nonappearances) indicated an OD structure and in truth the gem structure of brochantite might be depicted as developed by OD layers with Pn 2 1 m symmetry, associated with the nearby layers through the  - operations showed in the Figure . P ( n ) 2 1 m { (2 ) n 1/2,2 2 - 1/2 } Structural layers with P ( n )2 1 m symmetry and premise vectors b , c (interpretation vectors of the layer; b = 9.85, c = 6.02 Å ) and a 0 [ a 0 = ( a wrongdoing b )/2 = 6.37 Å ].

Slide 13

P ( n ) 2 1 m {(2 2 ) n 1/2,2 2 - 1/2 } Category 1a  -  - POs: E, [- - m ] Z = N/F = 2/1 = 2

Slide 14

Two MDO structures are conceivable, one comparing to a consistent arrangement of 2 - 1/2 operations [MDO 1 (a)], the other relating to the normal rotation of 2 - 1/2 and 2 1/2 operations [MDO 2 (b)] MDO 1 has space gather symmetry P 12 1/a 1 and a 13.07, b 9.85, c 6.02 Å ,  103.3°, comparing to the polytype examined by Cocco and Mazzi (1955) and subsequently by Helliwell and Smith (1997). MDO 2 has space aggregate symmetry P 2 1/n 11 and a 12.72, b 9.85, c 6.02 Å ,  = 90° These outcomes influenced us to look at tests of brochantite from different areas and the new polytype was soon found in the example from Capo Calamita (Elba Island, Italy).

Slide 15

The 400 conceivable OD-groupoid families (1) We have determined the entire arrangement of  - and  - POs of the bronchantite family simply taking a gander at the known basic course of action. That arrangement of POs showed the MDO structures and provoked us to search for the "missing" polytype. It appears to be legitimate to comment that the OD groupoid family image of brochantite could acquired additionally by taking a gander at its diffraction design, with no past information of the auxiliary game plan. To this point it is fundamental: - to have an entire rundown of the conceivable OD groupoid families - to have a methodology which assents the inference of the OD-groupoid family from the diffractional highlights .

Slide 16

The 400 conceivable OD-groupoid families (2) The inference of all the OD-groupoid families has been a standout amongst the most essential consequences of OD hypothesis. A first determination of OD-groupoid families has been carried on by Dornberger-Schiff (1964). Along these lines another system for posting all the OD-groupoid families has been exhibited (Dornberger-Schiff and Fichtner, 1972; Fichtner, 1977). The accessibility of an entire Table of those families, which incorporates 400 hundred individuals, is to a great degree valuable in portraying and talking about OD structures. They accommodate every layer aggregate symmetry the arrangements of  - POs perfect with it, which permits us to infer the MDO structures, to draw the comparing diffraction designs and to disentangle the by and large complex examples of OD gems. Also they now and again give – when bolstered by legitimate precious stone concoction thinking – a considerable help in speculating solid basic arrangeme

Recommended
View more...