SANS with Magnetic Contrast
n
= eh 2mp
neutron magnetic moment
Neutrons are scattered by inhomogeneities in the scattering length density of a material Chemical contrast
( ) 2 ( p o ) 2
“particle” matrix
And, by inhomogeneities in the magnetization (magnetic moment per unit volume) of a material Magnetic contrast
(M) 2 (M p M o ) 2
SANS with Magnetic Contrast
Inhomogeneities in magnitude and direction of M produce scattering, e.g. domain walls Q
I(Q┴) ┴
I(Q)
Sample with randomly oriented Magnetic domains
Magnetic contrast
2 (M) (M p M o )
2
SANS with Magnetic Contrast
By aligning magnetic domains with an applied magnetic field, domain wall scattering is eliminated Q
I(Q )
┴
I(Q)
Sample with randomly oriented Magnetic domains
Magnetic contrast
2 (M) (M p M o )
2
SANS with Magnetic Contrast (unpolarized neutrons)
Magnetic contrast
I(Q┴)
(M) 2 (Mp M o ) 2
Nuclear contrast
I(Q)
( ) 2 ( p o ) 2
“particle”
matrix
I(Q) ( 2 M2 sin 2 φ) F2 (Q) S(Q) similar terms for
each species
I(Q ) 2 M 2 I(Q|| ) 2
Magnetic scattering comes From M Q only!
Using SANS to Correlate Radiation Dose with Microstructural Changes in Reactor Pressure Vessel Steels
G. R. Odette, G. Lucas, et al. (U. California at Santa Barbara)
Reactor Vessel Measurements aimed at determining what factors and mechanisms cause reactor vessels to embrittle SANS is particularly useful because of its sensitivity to both chemical and magnetic inhomogeneities
Typical SANS Patterns for Reactor Pressure Vessel Steels
Irradiated sample Unirradiated sample
H
H
log I(Q)
I(Q )
Carbide Precipitates
Irradiated sample
Irradiated sample
I(Q|| )
Copper-rich Precipitates Small Cavities Q
I(Q ) 2 M 2 I(Q|| ) 2
= 11 for pure Cu
= 1.5 for voids
Type II Superconductor
Mixed state Normal state
H (kG)
H
Hc2
mixed state
normal conductor
Hc1
T (K) Meissner state
Complete flux penetration
Complete magnetic flux exclusion
Diffraction from fluxoid lattices
Neutron diffraction reveals:
SANS 2D detector
• fluxoid size, shape and interface thickness
• fluxoid lattice symmetry • fluxoid interactions • details of phase tranisitions • strength of pinning centers n
H
Sample in mixed state with magnetic field along beam direction
Vortex Matter in Superconductor Nb
T=4.6 K 3.05 kG
Real space depiction of vortex lattice
H (kG)
Hc2 Hc1
T (K)
2.15 kG
3.75 kG
1.1 kG
4.1 K
4.4 K
4.6 K
X. S. Ling and S.-R. Park (Brown University) S.-M Choi, D. Dender and J. Lynn, (NCNR/NIST)
Characterization of Protein/RNA Complexes: Contrast Variation
Deborah Kuzmanovic, Catherine O’ Connell, NIST Biotech. Div. Susan Krueger, NIST NCNR Charles Wick, Aberdeen Proving Ground
MS2 Bacteriophage
Small Angle Scattering from Macromolecules in Solution
Reciprocal Space Form Factor, F(q) =
Real Space
Macromolecule in Solvent
Scattering Length Density, ρ( r ) in V
V ρ(r ) e
i q r
dr
+
s (0)
ρs V e
i q r
Solvent of Infinite Extent (Not Observed!)
dr
Scattering Length Density, ρs in V
2 I(q) n F(Q)
SANS Data Analysis
Low Angles: QRg ~ 1
2 2
Radius of Gyration (Rg)
- 13 Q R g
Guinier Approx. I(Q) I(0) e
Not model specific Simple shape models from Rg, Mw and V
I(0)/c = constant x Mw
Higher Angles:
Model specific Calculate I(Q) for model and compare to data
Distance Distribution Function
P(r) r 2γ(r)
Debye-Porod Correlation Function
4P(r) number of distances within the molecule
I(Q) 4V P(r) sin(Qr) dr 0 Qr
Dmax maximum distance within the molecule
Dmax
P(0) = 0
P(2rDmax) = 0
Standard Assays for Diseases
Commercially available model recombinant noninfectious virus can be used as a RNA carrier Any gene (RNA) for a disease of interest can be incorporated for use in clinical assays.
Promoter Coat Protein Standard RNA Packaging Vector Transcription
Translation 1 Standard RNA Assembly 90 Dimers
One Particle of Armored RNATM
Samples for SANS Measurements
WT MS2 phage (3500bp) – Wild-type – Found in nature – Infectious (to bacteria only) Empty capsid (0bp) Recombinant RNA samples: Lambda phage (1000bp) HCV (500bp)
IS there one RNA per capsid?
Capsid and WT MS2 Protein
Capsid and WT MS2 protein structures look similar when measured in 65% D2O solvent, where I(Q)RNA ~ 0.
Contrast Variation of MS2 Complexes
Deuterated Lipid Head Group CD2
RNA Core
Protein Shell Contrast ()
Lipid Head Group
CH2
Structure and Mw Determination
Scattered intensity and Mw from protein and RNA components can be determined separately by making measurements at several contrasts. I(q) = 12 I1(q) + 1 2I12(q) + 22 I2(q)
I(0) n
2
1
Δρ Δρ1 2 Mw1 Mw 2 N A d1 d N A 2
Knowns: 1, 2: contrast for components 1 and 2 contrast: Δρ ρ - ρs d1, d2: mass density for components 1 and 2 n: Mw-independent number density (IVDS)
Structure and Mw of WT MS2 Phage
SANS+IVDS Results
Protein Mw= 2.5(±0.3) x106 RNA Mw= 1.0(±0.2) x106 Total Mw= 3.5(±0.5) x106
RNA in core packs tightly within a radius of ~ 80Å.
Structure of MS2 Complexes
Wild-type MS2 HCV Armored RNATM
0% and 10% D2O: RNA scattering is strongest 100% D2O: RNA scattering is weaker 85% D2O: RNA scattering is weakest
Structure of MS2 Complexes
Wild-type MS2 HCV Armored RNATM
Protein shell is less well-defined in HCV particles. RNA is not as tightly packed in HCV particles.
Conclusions
Empty capsid and WT MS2 protein shell have similar structures. Protein shell is thicker and less well-defined in HCV and particles. RNA is WT MS2 is tightly packed within a radius of ~80Å. RNA is not as tightly packed in HCV and particles. Mw measurements confirmed the known amounts of protein and RNA in WT MS2. Freshly prepared HCV and particles likely contain more than one RNA per capsid.