Investigating the Lattice Structure of Monocrystales

Slides:



Advertisements
Similar presentations
Objectives By the end of this section you should:
Advertisements

Objectives By the end of this section you should:
Reciprocal Space Learning outcomes
Don’t Ever Give Up!.
X-ray Diffraction. X-ray Generation X-ray tube (sealed) Pure metal target (Cu) Electrons remover inner-shell electrons from target. Other electrons “fall”
Crystal diffraction Laue Nobel prize Max von Laue
Planes in Lattices and Miller Indices
X-Ray Experiment Presenter: Xu Luo Dec 16, Part 1. Introduction  Powder method A monochromatic X-ray beam scatters off the randomly oriented powder.
4. Investigations into the electrical properties of particular metals at different temperatures led to the identification of superconductivity and the.
(0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) REAL LATTICE a b a* b*
Followed by a few examples of
Øystein Prytz Introduction to diffraction 2 Øystein Prytz.
Lecture 2.1 Crystalline Solids. Poly-crystalline solids - Grains Mono-crystalline solids- Whiskers, Wafers.
EEE539 Solid State Electronics
Miller indices and crystal directions
X-Ray Diffraction Path Length Phase Difference For a new atom in a unit cell xa yb.
Solid State Physics 2. X-ray Diffraction 4/15/2017.
CHE (Structural Inorganic Chemistry) X-ray Diffraction & Crystallography lecture 3 Dr Rob Jackson LJ1.16,
Order in crystals Symmetry, X-ray diffraction. 2-dimensional square lattice.
X-ray Diffraction (XRD) and Forensic Geology X-ray diffraction pattern for goethite X-ray diffractometer (XRD) laboratory.
R.T. Jones, Newport News, Mar 21, 2002 Effects of Crystal Quality on Beam Intensity The graph at right shows how the width of a diamond’s Bragg peak affects.
X-Ray Diffraction ME 215 Exp#1. X-Ray Diffraction X-rays is a form of electromagnetic radiation having a range of wavelength from nm (0.01x10 -9.
X-ray diffraction Meet in the LGRT lab Again, will hand in worksheet, not a formal lab report Revision exercise – hand in by April 17 th class.
Analysis of crystal structure x-rays, neutrons and electrons
Submitted By:- Nardev Kumar Bajaj Roll NO Group-C
VIII. Kinematical Theory of Diffraction 8-1. Total Scattering Amplitude The path difference between beams scattered from the volume element apart is The.
Rocks Minerals and Crystals By Guest Scientist Dr. David Walker LDEO-Columbia University.
CHE (Structural Inorganic Chemistry) X-ray Diffraction & Crystallography lecture 2 Dr Rob Jackson LJ1.16,
Miller Indices And X-ray diffraction
Analysis of crystal structure x-rays, neutrons and electrons
Bragg Planes How to do a Fourier transform on paper with no calculations at all.
Diffraction Basics Coherent scattering around atomic scattering centers occurs when x-rays interact with material In materials with a crystalline structure,
X-ray diffraction. Braggs' law = 2d hkl sin  hkl X-ray diffraction From this set of planes, only get reflection at one angle -  From this set of planes,
Chapter 3: Structures via Diffraction Goals – Define basic ideas of diffraction (using x-ray, electrons, or neutrons, which, although they are particles,
Interaction of X-Rays with Materials
Miller Indices & Steriographic Projection
Protein Structure Determination Lecture 4 -- Bragg’s Law and the Fourier Transform.
Calculation of Structure Factors
2. Wave Diffraction and Reciprocal Lattice Diffraction of Waves by Crystals Scattered Wave Amplitude Brillouin Zones Fourier Analysis of the Basis Quasicrystals.
Fourier transform from r to k: Ã(k) =  A(r) e  i k r d 3 r Inverse FT from k to r: A(k) = (2  )  3  Ã(k) e +i k r d 3 k X-rays scatter off the charge.
Ø. Prytz Introduction to diffraction Øystein Prytz January
Crystal Structure and Crystallography of Materials Chapter 13: Diffraction Lecture No. 1.
© Oxford Instruments Analytical Limited 2001 MODULE 3 - About the EBSD Pattern Bragg Diffraction Pattern Formation ‘Background’ Background Subtraction.
Crystal Structure and Crystallography of Materials Chapter 14: Diffraction Lecture No. 2.
Fig. 6-CO, p p. 185a p. 185b p. 185c p. 185d.
SHKim 2007 Lecture 4 Reciprocal lattice “Ewald sphere” Sphere of reflection (diffraction) Sphere of resolution.
Single crystal XRD.
CHARACTERIZATION OF THE STRUCTURE OF SOLIDS
youtube. com/watch. v=WIoS7WJDZT8 youtube
The theory of diffraction
de Broglie Waves de Broglie argued
X-ray diffraction.
X Ray Diffraction © D Hoult 2009.
Lecture 2.1 Crystalline Solids.
The Electromagnetic Spectrum
Effetto fotoelettrico
X-ray Neutron Electron
Lecture 2.1 Crystalline Solids.
Chapter 1 Crystallography
Problem 1 What is the de Broglie wavelength of an electron travelling at 7 x 106 m.s-1? λ = h/p = 6.63 x 10-34/9.11 x x 7 x 106 = 1 x m (more.
Chap 8 Analytical Instruments
Electron diffraction Øystein Prytz.
Analysis of crystal structure x-rays, neutrons and electrons
Fig. 6-CO, p. 211.
Anandh Subramaniam & Kantesh Balani
07CO, p. 190.
Knowledge Organiser – Waves
Bragg Diffraction 2dsinq = nl Bragg Equation
Chapter 16: Electron Diffraction
X-Ray Diffraction Path Length Phase Difference
Presentation transcript:

Investigating the Lattice Structure of Monocrystales 0519046 JI Fei 季镄

Laue Condition h,k,l are Laue indices

Laue Condition

Bragg Condition

A is the amplitude of scattered wave Crystal Structure A is the amplitude of scattered wave

Laue Diagram

(LEYBOLD Physics Leaflets P7.1.2.2) Evaluation Fig.9 Laue diagram at LiF (LEYBOLD Physics Leaflets P7.1.2.2)

Evaluation Xq/mm Yq/mm Zq*/mm h k l X*/mm Y*/mm 21.5 0.0 11.6 4 2 18.7 2 18.7 -20.0 10.4 -4 -18.7 -19.5 10.0 h k l d/pm θ λ 3 1 92.4 13.3 42.5 6 2 60.7 17.5 36.5 63.7 18.4 40.2 4 67.1 19.5 44.8 82.2 24.1 90.1 26.6 80.7 Tab. 1: Co-ordinates and Miller indices of the reflections in the Laue diagram of LiF (*: calculated) Tab. 2: Spacing of lattice planes d, Bragg angle an dwavelength associated with the sets of lattice LiF, a0=402.80 pm

Evaluation (h, k, l) a) b)

Evaluation (h, k, l) h, k, l λ 4, 0, 2 80.7 8, 0, 4 40.3 h k l d/pm 3 Tab. 2: Spacing of lattice planes d, Bragg angle and wavelength associated with the sets of lattice LiF, a0=402.80 pm h k l d/pm 3 1 92.4 13.3 42.5 6 2 60.7 17.5 36.5 63.7 18.4 40.2 4 67.1 19.5 44.8 82.2 24.1 90.1 26.6 80.7 4, 0, 2 80.7 8, 0, 4 40.3