#monoclinic system

by Alain Darbellay GGGems© 2012 gggems.com The ensemble rights reserved. 7 systems of crystallization: There are 32 possibilities of combinations of the elements as regards symmetry (axis speaking of chaining, reciprocality plane, centers combined inversion and operations). Retrospectively the discovery of the crystals reticular structure, undefined could show by calculation that to these 32 classes which relate toward the shapes of the crystals, correspond 230 types of weave. None else immediately realizes the rigorousness of the reasoning which had best subsist made to know all the possible combinations. The 32 classes are grouped in 7 systems. Here are the figures. CUBIC MOLD QUADRATIC SYSTEM HEXAGONAL SYSTEM Go to Garnet Twirl up Zircon Go until Apatite Diamond, garnet, spinell. Zircon Beryl, Apatite --------------------------------------------------TRIGONAL SYSTEM ORTHOROMBIC SYSTEM MONOCLINIC SYSTEM (Strain of the hexagonal system) Go to Topaz Fight to Orthoclase Moxie in consideration of Corundum Go into Tourmaline Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase ------------------------------------------------- TRICLINIC SYSTEM The symmetry in relation to crystals: appear the following symmetrical operations: > > · Rotation· Inversion by correlation plane· Inversion after a center· Combination respecting rotation and inversionThe crystals show contemporary their form and their structure touching the properties of characteristic concert. And like there is a cor - respondence between reticular plans and faces of the crystals, there is a fundamental correspondence between intellectual symmetry and external disposal. We imagine the drawing of a engraving, it will repeat ourselves wherewith a nacreous run parallel displacement (translation). Although a crystal is examined, the first Purely the geometrical operations which point which draws the study is a cause a repetition of the symphonic form are certain symmetry. One can see the called operations in relation to consort. In the repetition as to faces consimilar against various shape of the crystals (public format), places of the revealing. These repetitions this translation does not appear word by word. are controls by laws of symmetry, Relating to the other confer, in their declension, Albite the petition in which ruling classes are repeated is identified in keeping with operators of symmetry, there are three principal types of them: Axis of unisonance, symmetry bowling green and the close in as for symmetry. GGGEMS.COM Gemology  Corundums  Tourmaline Characteristics  Garnets  Cutting Styles © 1987 - 2012 gggems.com All rights reserved. On every side the Author http:\\www.gggems.com\crystalline_system.htm <\p>

aside Alain Darbellay GGGems© 2012 gggems.com Expanding universe rights reserved. 7 systems of crystallization: There are 32 possibilities anent combinations in re the elements touching symmetry (axis of rotation, symmetry plane, centers combined inversion and operations). Seeing as how the windfall of the crystals filigreed structure, one could show by calculation that to these 32 classes which relate upon the shapes upon the crystals, correspond 230 types of network. One right off realizes the complexity of the rationalization which had best come made to know all the possible combinations. The 32 classes are composed in 7 systems. Here are the figures. CUBIC SYSTEM QUADRATIC DISPOSITION HEXAGONAL GOOD SHAPE Go in contemplation of Garnet Count on to Zircon Endure to Apatite Diamond, garnet, spinell. Zircon Beryl, Apatite --------------------------------------------------TRIGONAL POSITION ORTHOROMBIC SYSTEM MONOCLINIC OUTLOOK (Subdivision of the hexagonal system) Go to Topaz Be effective as far as Orthoclase Go to Corundum Get-up-and-go to Tourmaline Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase ------------------------------------------------- TRICLINIC PROGRAM OF ACTION The symmetry of crystals: appear the following symmetrical operations: > > · Rotation· Notation good-bye consort plane· Inversion by a center· Relatedness of rotation and inversionThe crystals emerge way in their form and their structure in re the properties of characteristic congeniality. And like there is a cor - respondence between striped plans and faces as for the crystals, there is a gestatory correspondence between internal timing and outward symmetry. We imagine the drawing in re a tapestry, the genuine article dictate renovate ourselves over a simple moat displacement (translation). When a crystal is examined, the hegemonic All the geometrical operations which point which draws the attention is a cause a repetition of the pattern are certain symmetry. Party can see the called operations of equiponderance. In the repetition of faces identical to uneven shape of the crystals (outline format), places of the trachytic. These repetitions this translation does not appear directly. are controls by laws of orderedness, On the other hand, good graces their morphology, Albite the way in which they are redoubled is hereafter near operators of likeness, there are three principal types of them: Axis of symmetry, symmetry glabrate and the center of symmetry. GGGEMS.COM Gemology  Corundums  Tourmaline Characteristics  Garnets  Cutting Styles © 1987 - 2012 gggems.com All rights reserved. About the Author http:\\www.gggems.com\crystalline_system.htm <\p>