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Calculate the optimum exposure time for your data set, taking into account background levels, ADC offset, read-out noise, and photon gain. Use this tool to optimize your experiment success.
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Optimum exposure time(faint spots) thr optimum exposure time for data set (s) tref exposure time of reference image (s) bgref background level near weak spots on reference image (ADU) bg0 ADC offset of detector (ADU) σ0rms read-out noise (ADU) gain ADU/photon m multiplicity of data set (including partials) Short answer: bghr = 90 ADU for ADSC Q315r Holton J. M. and Frankel K. A. (2010) in preparation
107 106 105 104 103 100 10 1 Point Spread Function re-sampled sum scaled and shifted pixel intensity (ADU) I ~ g(r2+g2)-3/2 g = 30 μm 0.01 0.1 1 2 distance from “point” (mm) Holton J. M. and Frankel K. A. (2010) in preparation
3.5 3.0 2.5 2.0 1.5 1.0 0.5 Q315r average change in spot intensity (%) Pilatus 0.1 1 10 100 distance between spots (mm) Spatial Noise: Q315r vs Pilatus anomalous differences typically > 100 mm apart! Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
APE1 Wilson plot Rcryst/Rfree 0.355/0.514 0.257/0.449 0.209/0.407 scaled <F2> 4.1 3.5 3.2 2.9 2.7 2.5 2.4 2.2 2.1 resolution (Å) (sin(θ)/λ)2 Tsutakawa et al. (2010) in preparation
Simulated diffraction imageMLFSOM simulated real
The “R factor Gap” in MX 20%2 + 5%2 = 20.6%2 Rcryst + Rmerge ≈ Rcryst
Theoretical limit: Where: IDL - average damage-limited intensity (photons/hkl) at a given resolution 105 - converting R from μm to m, re from m to Å, ρ from g/cm3 to kg/m3 and MGy to Gy re - classical electron radius (2.818 x 10-15 m/electron) h - Planck’s constant (6.626 x 10-34 J∙s) c - speed of light (299792458 m/s) fdecayed - fractional progress toward completely faded spots at end of data set ρ - density of crystal (~1.2 g/cm3) R - radius of the spherical crystal (μm) λ - X-ray wavelength (Å) fNH - the Nave & Hill (2005) dose capture fraction (1 for large crystals) nASU - number of proteins in the asymmetric unit Mr - molecular weight of the protein (Daltons or g/mol) VM - Matthews’s coefficient (~2.4 Å3/Dalton) H - Howells’s criterion (10 MGy/Å) θ - Bragg angle a2 - number-averaged squared structure factor per protein atom (electron2) Ma - number-averaged atomic weight of a protein atom (~7.1 Daltons) B - average (Wilson) temperature factor (Å2) μ - attenuation coefficient of sphere material (m-1) μen - mass energy-absorption coefficient of sphere material (m-1) Holton J. M. and Frankel K. A. (2010) Acta D66, 393–408
Other radiation damage limits [1] Estimated for 100 Å unit cell in P43212 with VM = 2.4 [2] Taken from 400 um3 illuminated volume quoted by Moukhametzianov et al. (2008) and 5 um beam Holton J. M. (2009) J. Synchrotron Rad.16 133-42
Background level sets needed photons/spot Moukhametzianov et al. (2008). Acta Cryst. D64, 158-166
“realistic” PSF Point Spread Function “no” PSF
107 106 105 104 103 100 10 1 Point Spread Function re-sampled sum scaled and shifted pixel intensity (ADU) Gaussians 0.01 0.1 1 2 distance from “point” (mm) Holton J. M. and Frankel K. A. (2010) in preparation
107 106 105 104 103 100 10 1 Point Spread Function re-sampled sum scaled and shifted pixel intensity (ADU) I ~ r3 0.01 0.1 1 2 distance from “point” (mm) Holton J. M. and Frankel K. A. (2010) in preparation
107 106 105 104 103 100 10 1 Point Spread Function re-sampled sum scaled and shifted pixel intensity (ADU) I ~ g(r2+g2)-3/2 g = 30 μm 0.01 0.1 1 2 distance from “point” (mm) Holton J. M. and Frankel K. A. (2010) in preparation
active area of CCD X-ray beam phosphor sheet taper-taper barrier intact fibers severed fibers flood field spot Holton J. M. and Frankel K. A. (2010) in preparation
105 104 103 pixel intensity (ADU) 100 10 1 distance from “point” (CCD pixels) Holton J. M. and Frankel K. A. (2010) in preparation
Optimum exposure time(faint spots) thr optimum exposure time for data set (s) tref exposure time of reference image (s) bgref background level near weak spots on reference image (ADU) bg0 ADC offset of detector (ADU) σ0rms read-out noise (ADU) gain ADU/photon m multiplicity of data set (including partials) Short answer: bghr = 90 ADU for ADSC Q315r Holton J. M. and Frankel K. A. (2010) in preparation
Detector spatial noise dominates anomalous difference errors
Optimum exposure time(anomalous differences) Holton J. M. and Frankel K. A. (2010) in preparation
3% 10 photons 100 photons Optimum exposure time(anomalous differences) I+ I- 100 photons Holton J. M. and Frankel K. A. (2010) in preparation
3% 14 photons 100 photons 100 photons Optimum exposure time(anomalous differences) I+ I- Holton J. M. and Frankel K. A. (2010) in preparation
67 photons Optimum exposure time(anomalous differences) 3% I+ I- 2000 photons Holton J. M. and Frankel K. A. (2010) in preparation
200 photons Optimum exposure time(anomalous differences) 1% I+ I- 20,000 photons Holton J. M. and Frankel K. A. (2010) in preparation
Minimum required signal (MAD/SAD) Holton J. M. and Frankel K. A. (2010) in preparation
Spatial Noise Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise down Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise down up Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise down up Rseparate Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise odd even Rmixed Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise separate: 2.5% Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise separate: mixed: 2.5% 0.9% Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise separate: mixed: 2.5% 0.9% 2.5%2-0.9%2=2.3%2 Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise mult >(—)2 2.3% <ΔF/F> Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise mult >(—)2 Rmerge <ΔF/F> Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Spatial Noise Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
3.5 3.0 2.5 2.0 1.5 1.0 0.5 Q315r average change in spot intensity (%) Pilatus 0.1 1 10 100 distance between spots (mm) Spatial Noise: Q315r vs Pilatus anomalous differences typically > 100 mm apart! Holton, Frankel, Gonzalez, Waterman and Wang (2010) in preparation
Simulated diffraction imageMLFSOM simulated real
“photon counting” Read-out noise Shutter jitter Beam flicker spot shape radiation damage σ(N) = sqrt(N) rms 11.5 e-/pixel rms 0.57 ms 0.15 %/√Hz pixels? mosaicity? B/Gray? Sources of noise