What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen.

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Presentation transcript:

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen dark count (noise) detector dead time background

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen dark count (noise) detector efficiency background transmissions of each specimen incident beam intensity

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen to get absolute intensity measurements, standard must have known scattering intensity

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen dark count (noise) includes errant x-rays - measure w/ strongly absorbing material in place of specimen may vary with time

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen dark count (noise) detector efficiency scale each datum to that of a detector w/ constant efficiency

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen dark count (noise) detector efficiency scale each datum to that of a detector w/ constant efficiency

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen dark count (noise) detector efficiency background e.g., pure solvent, or pure matrix material

What data need to be measured? Scattering from: specimen in its container empty specimen container standard or calibration specimen dark count (noise) detector efficiency background transmissions of each specimen cut beam intensity, measure direct beam I w/ & w/o specimen

What data need to be measured? General procedure: 1. Scale all data to incident beam monitor (synchrotron beam decays w/ time)

What data need to be measured? General procedure: 1. Scale all data to incident beam monitor (synchrotron beam decays w/ time) 2. Correct for detector efficiency

What data need to be measured? General procedure: 1. Scale all data to incident beam monitor (synchrotron beam decays w/ time) 2. Correct all data for detector efficiency 3. Correct all data for empty cell and dark count Now have: I specimen = (I specimen - I dark ) - (T cell full /T cell empty )(I cell empty -I dark ) I bkgrd = (I bkgrd - I dark ) - (T bkgrd /T cell empty )(I cell empty -I dark ) I std = (I std - I dark ) - (T std /T cell empty )(I cell empty -I dark ) corr

What data need to be measured? General procedure: I specimen = (I specimen - I dark ) - (T cell full /T cell empty )(I cell empty -I dark ) I bkgrd = (I bkgrd - I dark ) - (T bkgrd /T cell empty )(I cell empty -I dark ) I std = (I std - I dark ) - (T std /T cell empty )(I cell empty -I dark ) 4. Get absolute I s I abs = (I specimen f(q)/ I std ) (t std T std /t specimen T specimen ) I bkgrd = (I bkgrd f(q)/ I std ) (t std T std /t bkgrd T bkgrd ) corr final

What data need to be measured? General procedure: I specimen = (I specimen - I dark ) - (T cell full /T cell empty )(I cell empty -I dark ) I bkgrd = (I bkgrd - I dark ) - (T bkgrd /T cell empty )(I cell empty -I dark ) I std = (I std - I dark ) - (T std /T cell empty )(I cell empty -I dark ) 4. Get absolute I s I abs = (I specimen f(q)/ I std ) (t std T std /t specimen T specimen ) I bkgrd = (I bkgrd f(q)/ I std ) (t std T std /t bkgrd T bkgrd ) 5. Subtract bkgrd corr final

What data need to be measured? Background treatment - complex need to consider what bkgrd should be - w/ solns or dispersions, bkgrd usually includes scattering from solvent or dispersion medium & sample cell

What data need to be measured? Background treatment - complex need to consider what bkgrd should be - w/ solns or dispersions, bkgrd usually includes scattering from solvent or dispersion medium & sample cell Standard specimen reproducible stable known scattering data scattering must be high isotropic scattering

Instrument resolution See Need to consider wavelength spread collimation effects detector resolution

Instrument resolution Wavelength spread Lab x-rays + monochromator Monochromator crystal set to scatter characteristic line - wavelength spread is result of combined effects of natural line width mosaic spread of monochromator crystal collimation before & after crystal

Instrument resolution Wavelength spread Lab x-rays + monochromator Monochromator crystal set to scatter characteristic line - wavelength spread is result of combined effects of natural line width mosaic spread of monochromator crystal collimation before & after crystal Synchrotron spectrum cont s - wavelength spread determined only by mosaic spread of monochromator & collimation

Instrument resolution Wavelength spread Lab x-rays + monochromator Monochromator crystal set to scatter characteristic line - wavelength spread is result of combined effects of natural line width mosaic spread of monochromator crystal collimation before & after crystal Synchrotron spectrum cont s - wavelength spread determined only by mosaic spread of monochromator & collimation Both conventional & synchrotron X-ray sources - wavelength spread ~  / typically <10 -3 & neglected in most cases

Instrument resolution Collimation

Instrument resolution Detector 3 contributions to spatial resolution division of detector into pixels method of detection method of position determination latter 2 dominant

Instrument resolution Combined resolution fcn   arameter related to FWHM of function ex:

Instrument resolution Combined resolution fcn   arameter related to FWHM of function ex: