SAXS and Scatter

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The Volume-of-Correlation = = independent of: 1. contrast 2. concentration 1. substitute for I(q) lc is the expected correlation length 2. collect like terms 5. collect like terms 3. integrate by parts ∞ 4. substitute P(r) = 4π r 2 γ(r) 0 correlation function Thursday, August 1, 13
Pair-distance Distribution Function Set of all distances measured within the particle. ∑ = ∑ ∫ r ij = internal distances ρ(r) dr logically this must be Vparticle p(r) = 0 when r > d max • defined in real space • V particle = no negative values (R + ) • zero except for defined distances • expected to be smooth as r → dmax peak ⇒〈r〉 = ∫ r · ρ(r) dr ∫ dmax 0 ρ(r) =r 2 γ(r) ρ(r) dr implies p(r) has units of Å 2 γ(r): correlation function R g 2 = 1 2 · ∫ r2 · ρ(r) dr ∫ ρ(r) dr P(r) Knowing P(r): 1. Determine Vparticle 2. Rg (real space) 3. Correlation function r Thursday, August 1, 13
Page 1 and 2: TRACK B SAXS AND SCATTER Robert P.
Page 3 and 4: SAXS Small Angle X-ray Scattering W
Page 5 and 6: Porod Invariant Assessing flexibili
Page 7: Defining a new Invariant Kratky Plo
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

SAXS and Scatter

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