(0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) REAL LATTICE a b a* b*

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Presentation transcript:

(0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) REAL LATTICE a b a* b*

(0,1) planes (0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* REAL LATTICE a b length=1/d 0,1

(1,1) planes (0,0) REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* length=1/d 1,1 length is longer than (0,1) since spacing between (1,1) planes is smaller. a b

(0,0) (2,1) planes REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* a b length=1/d 2,1

(0,0) (3,1) planes REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* a b length=1/d 3,1

(0,1) planes (1,1) planes (0,0) (2,1) planes (3,1) planes REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* a b

(0,2) planes (0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* REAL LATTICE a b length=1/d 0,2 (0,2)

(1,2) planes (0,0) REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* length=1/d 1,2 a b (1,2) (0,2)

(2,2) planes (0,0) REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* length=1/d 2,2 (1,2) (0,2) a b (2,2)

(0,0) (3,2) planes REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* a b (1,2) (0,2) (2,2) (3,2) length=1/d 3,2

(0,1) planes (1,1) planes (0,0) (2,1) planes (3,1) planes REAL LATTICE RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* a b (0,0) (1,2) (2,2) (3,2) (0,2) (0,2) planes (1,2) planes (2,2) planes (3,2) planes

(0,1) planes (0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) a* b* REAL LATTICE a b length=1/d 0,1 How do we orient the crystal to observe diffraction from the (0,1) reflection?

(0,0) (0,1) planes n =2dsin   Bragg condition-- upper beam has to be an integral number of wavelengths from the lower beam for constructive interference.

(0,0) (0,1) (1,1) (2,1) (3,1) (0,0) (0,1) planes n =2dsin  

(1,1) planes (0,0) (0,1) (1,1) (2,1) (3,1) (0,0)

(2,1) planes (0,1) (1,1) (2,1) (3,1) (0,0)

Oscillation Angle The 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different oscillation angles. Underneath each image write in the corresponding oscillation angle. The choices are 0.10°, 1.00°, and 5.00°. A B C

Time The 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different lengths of exposure. Underneath each image write in the corresponding length of exposure. The choices are 12 s, 60 s, and 300 s. A B C

Distance The 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different crystal-to-detector distances. Underneath each image write in the corresponding crystal-to-detector distance. (80, 250, or 450 mm) ABC

DISTANCE: The 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different crystal-to-detector distances. On each image write in the corresponding crystal-to-detector distance. The choices are 80, 250, or 450 mm. A B C A B C TIME: The 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different lengths of exposure. On each image write in the corresponding length of exposure. The choices are 12 s, 60 s, and 300 s. OSCILLATION ANGLE: The 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different oscillation angles. On each image write in the corresponding oscillation angle. The choices are 0.10°, 1.00°, and 5.00°. A B C name