Lecture06-FourierSeries-FourierTransforms

Lecture06-FourierSeries-FourierTransforms - EMSE 312 –...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EMSE 312 – Diffraction Principles Lecture 6 Fourier Series and Fourier Transforms EMSE 312 DIFFRACTION PRINCIPLES EMSE 312 – Diffraction Principles Crystallography - Summary • 10 Point Symmetries (1, 2, 3, 4, 6, , m, , , – 32 Point Groups • 7 Crystal Systems (defined by the point symmetry) • 5 Space Lattices (P, A (or B or C), I, F and R – 14 Bravais Lattices + 32 Point Groups gives the 73 Symmorphic Space Groups • 11 Screw Axis Symmetries – 2 1 , 3 1 , 3 2 , 4 1 , 4 2 , 4 3 , 6 1 , 6 2 , 6 3 , 6 4 and 6 5 • 5 Glide Plane Symmetries – a, b, c, n and d • 230 Unique Combinations – Space Groups 1 3 6 3 ) m = 4 EMSE 312 – Diffraction Principles Lattice Translations – Real Space • B a s i s V e c t o r s • Lattice Parameters • Lattice Points at • u, v, w all Integers • Miller Indices – Specific Directions – Family of Directions a;b;c G G G a a ; b b ; c c = = = G G G ; ; α β γ R u a v b w c = ⋅ + ⋅ + ⋅ G G G G [ ] uvw uvw EMSE 312 – Diffraction Principles attice Translations – Reciprocal Space • Basis Vectors • Lattice Parameters • Plane Normals for • h, k, l all Integers • Miller Indices – Specific Planes – Family of Planes a*;b*;c* G G G a* a * ;b* b* ;c* c* = = = G G G *; *; * α β γ G h a * k b * l c * = ⋅ + ⋅ + ⋅ G G G G ( ) hkl { } hkl ( ) b c a b c a* × ⋅ × = G G G G G G ( ) c a b b c a * × ⋅ × = G G G G G G ( ) a b c c a b * × ⋅ × = G G G G G G EMSE 312 – Diffraction Principles EMSE 312 – Diffraction Principles EMSE 312 – Diffraction Principles EMSE 312 – Diffraction Principles EMSE 312 – Diffraction Principles Optical Diffraction – Fourier Transforms • Resources: –Azaroff – Appendix 1 –Handout • Fourier Transforms of –A: Single Slit –B: Double Slit –C: Delta Function –Convolution Theorem EMSE 312 – Diffraction Principles Fourier Series and Fourier Transforms...
View Full Document

This note was uploaded on 12/01/2011 for the course EMSE 312 taught by Professor Lagerlof,p during the Spring '08 term at Case Western.

Page1 / 28

Lecture06-FourierSeries-FourierTransforms - EMSE 312 –...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online