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by: Russel Monahan


Russel Monahan
GPA 3.93


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About this Document

Class Notes
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This 5 page Class Notes was uploaded by Russel Monahan on Thursday October 22, 2015. The Class Notes belongs to SOC 173 at University of California Santa Barbara taught by Staff in Fall. Since its upload, it has received 13 views. For similar materials see /class/226873/soc-173-university-of-california-santa-barbara in Sociology at University of California Santa Barbara.




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Date Created: 10/22/15
tre mu Crys39allogvaphy In a nutshell Lattrees uuu eeus symmetry 7 how crystallography srmplrfres the deprttrou 039 structures mmsesuauu seshadrl ml unshadu memxgammmnakmMmmmmcrymnemmmtmmymamam mus useWetsnueuemmumumMmryuemMmmmW ursuuteu WPWIS39JEMW mthdysnrdmmdardyuhysmnnme tmuermunmtmus usdzssxsa gummy see c ibmnmd mammakm mew maqmammmmmmamtm m mm vmwmwyw w W Wm tweenme Trusts me muttDrummers me mammmdmmmgammdhmkhyc m u mmmm a M m oM W amenme m4 treum eu InADtmnmvmmsrmmmaW myams mere nAmudeymacd mm mmeddmmamn Mme new mtnmhexmuwemhbhne ummwm we r between the architrave and cornice Also in extended sense 0 These line groups possess three different kinds of symmetry elements7 the mirrors m7 the twofold rotations 2 and the glides gr They act on the motif to copy it within the unit cell A motif unit cell A A A A A pg V AL AL 3 AL A A i A i A pm 1 A 7 7 V 7 AL AL p2mg 7 1 7 1 L j L j AL 2 7 7 7 P mm The doted vertical lines mark the outlines of the unit cells 0 In going from 1D to 2D where there are now seventeen plane groups only one new concept is added 7 that of centering 0 There are 5 kinds of cells in 2D 7 the plane lattices square rectangular L centered rectangular hexagonal oblique 0 There are 17 plane groups obtained by combining all the possible symmetry operations in 2 The operations are 2 3 and 4 fold rotations mirrors m glides g centering cl Examples of plane groups L L If r r 7L P4gm 0 Sometimes it is useful to add another element of symmetry For example twocolor symmetry indicated by a prime switches black to White and viceverse These are called Shubnikov groupsl JLM l awmmysmw uwmmgmmammmemmmmmcw n u w Ammaudu D Mm 39139 mm syo gammy m m mum 5 mmedhy m m Sm Gimp ramsz 4 am A Am Wymmm 5 M y ma mm m ma u um 9 m um um mm 9 m um mm m 969 m 26 um um um m syo awn m um um hum m u Aypmmuly anatomyme mum mm have s a an arm 01115 mm


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