Plane group p2 atterson demo UCLA平面P2组帕特森演示加州大学洛杉矶分校.pptVIP

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Plane group p2 atterson demo UCLA平面P2组帕特森演示加州大学洛杉矶分校.ppt

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Plane group p2 atterson demo UCLA平面P2组帕特森演示加州大学洛杉矶分校

Patterson in plane group p2 Patterson in plane group p2 Patterson in plane group p2 Patterson in plane group p2 Patterson in plane group p2 Patterson in plane group p2 Patterson in plane group p2 Patterson in plane group p2 Patterson in plane group p2 Now I’m stuck in Patterson space. How do I get back to x,y, coordinates? Now I’m stuck in Patterson space. How do I get back to x,y, coordinates? Now I’m stuck in Patterson space. How do I get back to x,y, coordinates? Hurray!!!! * (0,0) a b SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y (0,0) a b (0.1,0.2) SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y (0,0) a b (0.1,0.2) (-0.1,-0.2) SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y (0,0) a b (0.1,0.2) (-0.1,-0.2) SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y (0,0) a b a (0,0) b (0.1,0.2) (-0.1,-0.2) SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y PATTERSON MAP 2D CRYSTAL (0,0) a b a (0,0) b (0.1,0.2) (-0.1,-0.2) SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y PATTERSON MAP 2D CRYSTAL (0,0) a b a (0,0) b (0.1,0.2) (-0.1,-0.2) SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y PATTERSON MAP 2D CRYSTAL What is the coordinate for the Patterson peak? Just take the difference between coordinates of the two happy faces. (x,y)-(-x,-y) or (0.1,0.2)-(-0.1,-0.2) so u=0.2, v=0.4 (0,0) a b a (0,0) b (0.1,0.2) (-0.1,-0.2) SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y PATTERSON MAP 2D CRYSTAL What is the coordinate for the Patterson peak? Just take the difference between coordinates of the two happy faces. (x,y)-(-x,-y) or (0.1,0.2)-(-0.1,-0.2) so u=0.2, v=0.4 (0.2, 0.4) a (0,0) b PATTERSON MAP (0.2, 0.4) If you collected data on this crystal and calculated a Patterson map it would look like this. a (0,0) b PATTERSON MAP (0.2, 0.4) Use our friends, the space group operators. The peaks positions correspond to vectors between smiley faces. SYMMETRY OPERATORSFOR PLANE GROUP P2 1) x,y 2) -x,-y x y -(-x –y) 2x 2y symop #1 symop