Intro to Reciprocal Space PDF
Preview Intro to Reciprocal Space
Introduction to Reciprocal Space 7th X-ray Scattering School Apurva Mehta Scattering Physics image sample light lens Math Q = 4p sin(q) /l Sample Image SAcnagttuelrainr g Space Space SSppaaccee Can we create the image without a lens? Lensless Imaging image sample light n r e lens t t a P g n i r e t t a c S Sample SAcnagttuelrainr g Space SSppaaccee Scattering Physics Elastic Scattering |Ki| = |Ks| Ks DK = Q = momentum transfer 2q Ki momentum Ki DK = Q = 2*Ki * sin(q) Ki = 2p/l Q = 4psin(q)/l Lensless Imaging Measured in Q = 4p sin(q) /l image sample light n r e lens t t a P g n i r e t t a c S Sample Scattering Space Space Bragg’s Law Bragg’s Law Q has magnitude and direction Proposed in 1912-1913 Nobel Price in Physics - 1915 2dsin(q) = l Q = 4psin(q)/l Q = 4psin(q)/l =2p/d ==22pp/d/d |QQ| 2014 - International year of Crystallography Bragg’s Law Tells Us • About the Position of the scattering peaks • But not the Direction • And not its Intensity • Nor its Width Need to go beyond Bragg’s Law Bragg Planes Bragg Planes =2p/d |Q|
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