INTRO INORG MATRL
INTRO INORG MATRL MATRL 218
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This 5 page Class Notes was uploaded by Miss Alberto Prohaska on Thursday October 22, 2015. The Class Notes belongs to MATRL 218 at University of California Santa Barbara taught by R. Seshadri in Fall. Since its upload, it has received 41 views. For similar materials see /class/226926/matrl-218-university-of-california-santa-barbara in Material Science and Engineering at University of California Santa Barbara.
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Date Created: 10/22/15
Crystallography In a nutshell Lattrees stallogvaphy slmpllfles the deplctlon ol Materrals 21sucsa Class IV uurt cells symmetry 7 how cry structures mmseshauu seshadrl ml unshadu mammm smdedmmmmsmmmmn mmmtusymuemesstue Mew Mew m seeswmmuuumutMMWymmmerwm arrest Maniacs Wuryuueemmuuusmuewuuuumm Metre smug m them mummy maqmammmmmmamym he surest see c rum amwmloyw w W Wm autumn Trusts me muttDrummers me Fara mumdean hmkhyc ewe u mmmm a mummy Mummy ryuuhgtreuutsu sure maesmyummmemmasdmmymn l o In 1 D7 there are 7 line groups 7 the crystallography of frieze patternsi Frieze n A band of painted or sculptured decorationi More interestingly that member in the entablature of an order which comes between the architrave and cornicei 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 1 1 pg L 7 p2mg AL AL L2 7 1 71 erm 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 oblique L centered rectangular hexagonal 0 There are 1 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 V V 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 W 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