SAXS and Scatter

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SAXS Invariants (structural parameters derived directly from SAXS) Q, Porod Invariant Directly related to mean square electron density of particle. Requires convergence in Kratky plot (q 2 I(q) vs q). Vp, Porod Volume Requires Q lc, correlation length Q acts as a normalization constant and corrects for: 1.concentration 2.instrumentation parameters 3.contrast, (Δρ) 2 Rg, radius-of-gyration Does not require Q Concentration independent Contrast independent (as long as structure does not change) Essentially normalized to I(0) Thursday, August 1, 13
Porod Invariant Assessing flexibility G. Porod deduced an integral constant contained within a SAXS curve: Assumption: 1.defined Δρ exists between particle and solvent 2.scatterer has homogenous electron density Integration of data transformed as q 2 • I(q) should be constant Q = 1 2π 2 ∫ ∞ 0 q 2 · I(q) dq Q =2π 2 · (∆ρ) 2 · V Q is the direct product of the excess scattering electrons of the particle and Vparticle Q =2π 2 · c · (∆ρ) 2 · V Regardless of beamline, source, or wavelength; Data should have the same constant with the same sample at the same concentration. Thursday, August 1, 13
Page 1 and 2: TRACK B SAXS AND SCATTER Robert P.
Page 3: SAXS Small Angle X-ray Scattering W
Page 7 and 8: Defining a new Invariant Kratky Plo
Page 9 and 10: Pair-distance Distribution Function
Page 11 and 12: Correlation Function • displace p
Page 17 and 18: Correlation Function recalculate
Page 19 and 20: Correlation Function recalculate
Page 21 and 22: Tutorial links at BIOISIS Thursday,
Page 23 and 24: Detecting Flexibility Debye P. Mole
Page 25 and 26: Porod’s Law Porod, G. (1951). Kol
Page 27 and 28: Power Law Relationship log vs. log
Page 29 and 30: Single to Many Particle Scattering
Page 31 and 32: Scattering Contrast Alternative met
Page 33 and 34: Direct Mass Determination the power
Page 35 and 36: Distance Distribution Function 2°
Page 37 and 38: Information Content Using Shannon S
Page 39 and 40: SCÅTTER Software for SAXS Analysis
Page 41 and 42: Dimensionless Kratky Guinier approx
Page 43 and 44: Dimensionless Kratky using Volume-o
Page 45: References “Super-Resolution in S

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