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by: Kavon Huel


Kavon Huel
GPA 3.59

Robert McKenna

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About this Document

Robert McKenna
Class Notes
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This 10 page Class Notes was uploaded by Kavon Huel on Friday September 18, 2015. The Class Notes belongs to BCH 6744 at University of Florida taught by Robert McKenna in Fall. Since its upload, it has received 22 views. For similar materials see /class/206958/bch-6744-university-of-florida in Biochemistry and Molecular Biology at University of Florida.

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Date Created: 09/18/15
L7 Data collection theory Bragg s Law revisited Y o o o Bragg planes 110 plane 120 plane 0 0 130 plane 140 plane 150 plane 0 Real Space Lecture 7 Construction of reciprocal lattice b 1 3 0 Diffraction space 0 Real space Reciprocal space 0 Origin F000 X unit cell 19 190 Lecture 7 2 Construction of reciprocal lattice a 13 0 0 Real space I Reciprocal space 0 Origin F000 Lecture 7 Reciprocal unit cells D a39 Reciprocal unit cell a Real unit cell a Real unit cell a Reciprocal unit cell Reciprocal unit cells of large and small real cells Lecture 7 Diffraction in reciprocal space Bragg s Law Sphere of re ection constructed with a radius of 1 sin 6 OP Consider a point P BO direct beam 8 OP 2 2 1 Sin 9 A crystal lattice plane hkl Bragg re ection hkl OP 2dhklsin97t incident beam diffraction vector Lecture 7 Consider a point P crystal rotated direct beam Itquot Braggre ecxion WI 2 O origin 2d hm sin 6 7 Diffraction occurs only when Bragg s law is satis ed Lecture 7 6 Reciprocal space is a sphere de ned by a unique volume of radius 1 Ewald s sphere c hkl FOOO Lecture 7 Sphere of re ection radius Ill Rotate crystal therefore reciprocallattice points Within a distance 2 of the origin can be rotated into contact With the sphere of reflection 3 defines the limiting sphere Sphere of re ection Limiting Sphere Number Of Re ections 1 39 N 43nz 12M3 4 I l Vrecip 7 I rl Ir7 r 7711117 13 39W39IIf r39r7 I17Izzrr 71 Lectnre 7 8 Friedel s law The re ections hkl and hkl correspond to re ections from opposite sides of the set of So that hkl hkl Holds true for CNO Hence only need to collect 12 of reciprocal space for complete data collection for a triclinic cell no symmetry lanes hkl Friedel39s law reciprocal lattice point hkl reciprocal lattice point Ahltk hk set 01 planes hkl Lecture 7 9 Triclinic unit cell realreciprocal space relationships 7c sin a MC sin o a T a w 11 39in 3 ui39 sin 3 If b l V ab sin y ab sin y 0 2 39 a I 7 7 V a abc39l cos3m7 cusl 7coszy2 cos 2 cos 3 cos y i if 7 Vquot 7 V 7 a br 39 l 7 coslzquot 7 cos3 7 cosloz39 7 2 cos lt7quot cos 5quot cos 7 c 5 cos cos y 7 cos of CUS XX4 Cosdi sin 3 sin y sin B 5111 y cos 1 cos y 7 co cos 1 05 7 cos 9 cos quot 7 7 cos B r 77 sin 1 Sin y sin olt39 sm 7 C cos on cos 3 7 cos 7 cos PR cos 7 cos 72 cos yquot 7 cos y 2 sin a sin f3 sin a Sin 3 Lecture 7 10


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