X-ray Diffraction

X-ray Diffraction - Work through the online tutorials to...

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X-Ray Diffraction Structure Determination Last revised 10/13/10 10 am
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Learning Objectives Determine the likely unit cell of a material, given its x-ray powder diffraction pattern Determine d-spacing between planes (hkl) Know derivation of Bragg’s Law Know relationship between θ and d
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Structure Determination How can we experimentally determine whether a material is crystalline or amorphous? What is the fundamental difference between crystalline and amorphous structures?
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X-Ray Diffraction
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Why X-Rays? X-rays diffract off of planes of atoms in a crystal because the wavelength of x-rays ( λ ) is comparable to the spacing between planes (d)
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Bragg’s Law
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Indexing Planes We need to have notation to refer to the different planes in a crystal Miller Indices are used Work through the various online tutorials and other materials posted on Blackboard to practice!
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Practice Indexing Planes
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Unformatted text preview: Work through the online tutorials to practice indexing points, directions and planes. Examples: Draw , Index planes: That intersect all 3 axes That intersect 2 axes That intersect 1 axis ( ) 3 2 1 ( ) 3 2 2D images of planes The following 2D cross-sections of a crystal are looking straight down the z-axis. We are only looking at planes that are parallel to the z-axis You will need to be able to do 3D problems, but 2D is easier to draw and visualize to start with. Crystal Planes Crystal Planes x y (010) d 010 Crystal Planes x y (100) d 100 Crystal Planes x y (110) d 110 Crystal Planes x y (120) d 120 2 2 2 l k h a d hkl + + = d-spacing of (hkl) planes in a cubic system X-Ray Diffraction Reflection Rules for (hkl) planes sin d n = 2 2 2 1 ~ sin ~ l k h d hkl hkl hkl + + = Example XRD Pattern (111) (200) (220) (331) (222)...
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This note was uploaded on 11/28/2010 for the course MTE 209 taught by Professor Tanyafalten during the Fall '09 term at Cal Poly Pomona.

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X-ray Diffraction - Work through the online tutorials to...

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