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$Page 1: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Welcome to 3.091 Lecture 18

October 21, 2009

X-Ray Diffraction Techniques

$Page 2: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

ν = R

staircase

Moseley's Law

2( (1 1 Z-γ n2f n2

i ( (

$Page 3: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Bremsstrahlung

$Page 4: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Figure 12.14a

O

P

P'

P''

d

d

O'

A(hkl)

(hkl)

(hkl)

B D d

C

Eα

�

α

α

Image by MIT OpenCourseWare.

$Page 5: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Averill, B., and P. Eldredge. Chemistry: Principles, Patterns, and Applications. Flat World Knowledge, 2011. ISBN: 9781453331224.

a a

2 a 2

http://catalog.flatworldknowledge.com/catalog/editions/1102

$Page 6: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

h+k+l even

h+k+lall all even

or all odd unmixed

$Page 7: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Figure 12.13

diffractometry

$Page 8: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Figure 12.13

� = 0.1542 nm (Cu K�-radiation)

0

20

40

60

80

100

Inte

nsity

(arb

itrar

y un

its)

(111)

(200)

(220) (311)

(222) (400) (331) (420)

20 30 40 50 60 70 80 90 100 110 120

2α (degrees)

Image by MIT OpenCourseWare.

$Page 9: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 10: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 11: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 12: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 13: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 14: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 15: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 16: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 17: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 18: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 19: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 20: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

$Page 21: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Figure 12.13

Image by MIT OpenCourseWare.

$Page 22: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

(111) Averill, B., and P. Eldredge. Chemistry: Principles, Patterns, and Applications. Flat World Knowledge, 2011. ISBN: 9781453331224.

http://catalog.flatworldknowledge.com/catalog/editions/1102

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120° rotation

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$Page 32: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

4-fold

90o

$Page 33: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

4-fold

90o

3-fold

120o

$Page 34: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

4-fold

90o

3-fold

120o

2-fold

180o

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translational symmetry without rotational symmetry

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Courtesy of Ron Lifshitz. Used with permission.

$Page 38: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Courtesy of Ron Lifshitz. Used with permission.

rotational symmetry without translational symmetry

$Page 39: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Courtesy of Ron Lifshitz. Used with permission.

$Page 40: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Courtesy of Ron Lifshitz. Used with permission.

$Page 41: Welcome to 3 · Lecture #18, X-Ray Diffraction Techniques Author: Prof. Donald Sadoway Created Date: 10/21/2009 4:03:56 PM ...$

Courtesy of Ron Lifshitz. Used with permission.

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Courtesy of Ron Lifshitz. Used with permission.

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Courtesy of Ron Lifshitz. Used with permission.

not a Bravais lattice

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Courtesy of Ron Lifshitz. Used with permission.

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Courtesy of Ron Lifshitz. Used with permission.

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5-fold

72o

Courtesy of Ron Lifshitz. Used with permission.

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Courtesy of Dan Shechtman. Used with permission.

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Courtesy of Dan Shechtman. Used with permission.

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5-fold

72o

“Mission Impossible” – an example of 5:4 time Courtesy of Ron Lifshitz. Used with permission.

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Donald 018 souper skroutz

Donald 018 souper skroutz

$Exercice 3: Le son: de sa numérisation à la lecture … · Web view3. Lecteur Blu-ray 3.1. C’est la diffraction qui empêche d’obtenir un faisceau de diamètre plus petit sur$

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$KONACNI GLASNIK, 25. 12. 2013.€¦ · NH4ZSM-5 280.00 15.67 400.00 HZSM-5 280.00 - 380.00 The x-ray diffraction analysis of ZSM-5 was performed (Figure 1). The x-ray structural analysis$

KONACNI GLASNIK, 25. 12. 2013.€¦ · NH4ZSM-5 280.00 15.67 400.00 HZSM-5 280.00 - 380.00 The x-ray diffraction analysis of ZSM-5 was performed (Figure 1). The x-ray structural analysis

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$Time-resolved x-ray diffraction techniques for bulk ...bigbro.biophys.cornell.edu/publications/303 Lambert.pdf · 9X-ray Science Division, Argonne National Laboratory, Argonne, ...$

Time-resolved x-ray diffraction techniques for bulk ...bigbro.biophys.cornell.edu/publications/303 Lambert.pdf · 9X-ray Science Division, Argonne National Laboratory, Argonne, ...

$Diffraction Rayons X$

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$Diffraction des rayons X · 2012. 2. 13. · 1 Diffraction des rayons X La diffraction des rayons X permet d’étudier le réseau réciproque. C’est une technique avec une sonde$

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Audit Mc Donald France€¦ · - DG : Andrew McKenna / Vice : Jim Skinner (USA), Jean-Pierre Petit (Fr) - Fondateur : Ray Kroc - Personnage : Ronald McDonald Secteur d’activité:

Audit Mc Donald France€¦ · - DG : Andrew McKenna / Vice : Jim Skinner (USA), Jean-Pierre Petit (Fr) - Fondateur : Ray Kroc - Personnage : Ronald McDonald Secteur d’activité:

$X-Ray Diffraction Technique Applied to Study of Residual ...residual stresses that may have considerable influence on service behavior of welded structures and components, to cause$

X-Ray Diffraction Technique Applied to Study of Residual ...residual stresses that may have considerable influence on service behavior of welded structures and components, to cause

Donald et Popop dans l'arène

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Diffraction des Ondes · L'intensité résultante est donc le produit des fonctions de diffraction et d'interférences. θ X M ... rapport entre le rayon des ... Diffraction des ...

$Investigation of oxide crystals by means of synchrotron ... · X-ray diffraction topography [12 - 24] is a method, which can be effectively used for the characterization of oxide$

Investigation of oxide crystals by means of synchrotron ... · X-ray diffraction topography [12 - 24] is a method, which can be effectively used for the characterization of oxide

$DLR’s Contribution to the Helmholtz Virtual Institute production...2017/09/13 · Characterisation by EDX and x-ray diffraction e.g. reduced Ce 0.85 Zr 0.15 O 2 (1683K (pO2=2,96E-9$

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$Ch3 - Diffraction - 2011$

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$Minerals 2015 OPEN ACCESS minerals · location of epibiotic calcifying bacterial colonies. Minerals 2015, 5 491 2.2. X-Ray Diffraction The mineralogy of the investigated recent epibionts$

Minerals 2015 OPEN ACCESS minerals · location of epibiotic calcifying bacterial colonies. Minerals 2015, 5 491 2.2. X-Ray Diffraction The mineralogy of the investigated recent epibionts

$Présentation du phénomène de diffraction$

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SPECIAL MAC DONALD

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$Sources Lumineuses, Diffraction,$

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