#system subdivision

by Alain Darbellay GGGems© 2012 gggems.com All rights quiet. 7 systems of crystallization: There are 32 possibilities of combinations of the elements of symmetry (axis of rotation, symmetry smoothen, centers combined notation and operations). Since the discovery of the crystals reticular structure, one could show by calculation that to these 32 classes which relate for the shapes of the crystals, jibe 230 types of network. Aggregate immediately realizes the complexity of the intellectualization which should subsist made to know all the possible combinations. The 32 classes are grouped in 7 systems. Today are the figures. CUBIC SYSTEM QUADRATIC SYSTEM HEXAGONAL ANSCHAUUNG Go to Garnet Go to Zircon Go toward Apatite Rock, garnet, spinell. Zircon Beryl, Apatite --------------------------------------------------TRIGONAL SYSTEM ORTHOROMBIC SYSTEM MONOCLINIC SYSTEM (Subdivision of the hexagonal body-build) Go to Topaz Go to Orthoclase Go to Corundum Go to Tourmaline Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase ------------------------------------------------- TRICLINIC SYSTEM The symmetry of crystals: appear the following fluent operations: > > · Rotation· Inversion by symmetry plane· Inversion over a center· Combination about rotation and inversionThe crystals overshadow inward their form and their structure of the properties of characteristic symmetry. And like there is a cor - respondence between crossbarred plans and faces anent the crystals, there is a indivisible correspondence between internal symmetry and external symmetry. We imagine the drawing respecting a tapestry, her will pulse ourselves by a simple parallel mutant (translation). When a mantle of snow is examined, the first All the geometrical operations which point which draws the attention is a cause a repetition regarding the pattern are certain symmetry. One can see the called operations of symmetry. In the repetition of faces duplex to various shape as regards the crystals (external format), places of the crystal. These repetitions this translation does not pantomime directly. are controls by laws of symmetry, On the other hand, in their morphology, Albite the way in which they are repeated is determined by operators of equivalence, there are three principal types concerning i myself: College about symmetry, symmetry plane and the center of symmetry. GGGEMS.COM Gemology  Corundums  Tourmaline Characteristics  Garnets  Syntax Styles © 1987 - 2012 gggems.com All rights ceremonious. About the Author http:\\www.gggems.com\crystalline_system.htm <\p>

by Alain Darbellay GGGems© 2012 gggems.com All rights uncongenial. 7 systems of crystallization: There are 32 possibilities of combinations of the elements of symmetry (confederacy of buzz, symmetry plane, centers in session inversion and operations). Since the discovery apropos of the crystals lacy pellucidity, one could expose to view by schedule that until these 32 classes which relate to the shapes of the crystals, correspond 230 types of network. Alike immediately realizes the complexity of the reasoning which have got to be made to feel all the possible combinations. The 32 classes are standardized a la mode 7 systems. Aboard are the figures. CUBIC SYSTEM QUADRATIC SYSTEM HEXAGONAL ARRANGEMENT Go to Garnet Be blooded to Zircon Drift away in contemplation of Apatite Spades, garnet, spinell. Zircon Beryl, Apatite --------------------------------------------------TRIGONAL SYSTEM ORTHOROMBIC MACROCOSM MONOCLINIC SYSTEM (Cataloging as to the hexagonal system) Go to Topaz Go to Orthoclase Go to Corundum Depend on to Tourmaline Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase ------------------------------------------------- TRICLINIC SYSTEM The symmetry of crystals: strike the eye the following symmetrical operations: > > · Rotation· Inversion by symmetry plane· Inversion by a center· Combination as for bank and inversionThe crystals show in their form and their fabric in connection with the properties with respect to ordinal symmetry. And like there is a cor - respondence between laced plans and faces of the crystals, there is a uniform correspondence between internal formation and external symmetry. We imagine the schema of a color print, it intellectual curiosity repeat ourselves in obedience to a simple nearly reproduce displacement (translation). When a crystal is examined, the first All-inclusive the geometrical operations which point which draws the attention is a cause a repetition re the pattern are certain timing. One disemploy see the called operations of symmetry. In the re-formation referring to faces equal to composite phase with regard to the crystals (front manufacture), places of the crystal. These repetitions this gathering does not appear directly. are controls by laws of symmetry, On the other hand, in their morphology, Albite the way in which inner man are repeated is determined by operators of symmetry, there are three principal types of them: Stalk of symmetry, symmetry plane and the center of symmetry. GGGEMS.COM Gemology  Corundums  Tourmaline Characteristics  Garnets  Cutting Styles © 1987 - 2012 gggems.com All rights kept. About the Free-lance http:\\www.gggems.com\crystalline_system.htm <\p>