Small Angle Scattering of neutrons and xrays - NeutronXraySchool ...

More documents

Recommendations

Info

$Powder Diffraction - Spallation Neutron Source$

$Single Crystal Diffraction - Spallation Neutron Source$

Rubber (Polymer Network) • Unique mechanical properties – “liquid” on local scale but long range structure memory • Economic importance – Tires • Blend “normal” H- and some % D-polyisoprene • Cross Cross-link link to form rrubber bber net network ork • Stretch rubber sample in the SANS beam and collect data ?
SANS of labeled stretched rubber • Stronger anisotropy at smaller q (larger distances) • Ellipse > diamond transition at large deformation • Warner-Edwards tube approach: affinely deformed Gauss chain ⎧ 1 x r ⎪ 2 S ( q, λ) = 2N∫dx∫dx′ ∏exp ⎨ ( Qμλμ) ( x−x′ ) − 0 0 μ ⎪ ⎪⎩ ⎪⎩ 2 d 2 2 μ μμ(1 −λμμ) 2 2 6 R Rg 19 Managed by UT-Battelle ⎜ ( x−x′ ) ⎟⎪ 1−exp ⎢ − ⎥ ⎜ ⎢ 2 ⎬ d ⎥ ⎟ μ ⎜ ⎢ ⎥⎟ ⎪ ⎜ 2 2 6R ⎟⎪ ⎝ ⎢⎣ g ⎥⎦⎠⎭ for the U.S. Department of Energy Presentation_name Q ⎛ ⎡ ⎤⎞⎫ ⎜ ⎢ ⎥⎟⎪ non-affine fluctuation contribution NIST NG7 data 1.5 small q larger q 2.0 2.6 29 2.9 q max ~ 0.009 Å
Page 1 and 2: Small Angle Scattering of neutrons
Page 3 and 4: Outline • Applications - is SAS f
Page 5 and 6: SAS applications A to Z But what Al
Page 7 and 8: Neutron Scattering and Microscopy
Page 9 and 10: Microscopy : enlarged image inciden
Page 11 and 12: Diffraction (Crystallography) here
Page 13 and 14: Scattering Vector - q aka momentum
Page 15 and 16: Absolute Intensity / Scattering Cro
Page 17: 14 -3 scattering lenngth cm.Å dens
Page 21 and 22: At the beamline incident beam Sampl
Page 23 and 24: SANS Instrument - a pinhole camera?
Page 25 and 26: SANS at a pulsed source EQ-SANS, SN
Page 27 and 28: SANS guide hall (HFIR) 27 Managed b
Page 29 and 30: 29 Managed by UT-Battelle for the U
Page 31 and 32: Data Reduction, Processing, Correct
Page 33 and 34: Analysis of SAS data here typical p
Page 35 and 36: Analysis of SAS data S(q) * P(q) is
Page 37 and 38: Sphere precisely: monodisperse sphe
Page 39 and 40: P(Q) P Sphere precisely: monodisper
Page 41 and 42: Spheres of different sizes P(Q) 10
Page 43 and 44: Ellipsoid aspect ratio 1.5 P(Q) 10
Page 45 and 46: “Long & thin” cylinder P(Q) P 1
Page 47 and 48: Polymer coil P(Q) 1 8 6 0.1 4 2 8 6
Page 49 and 50: Guinier Analysis size of any kind o
Page 51 and 52: Modified Guinier Analysis for objec
Page 53 and 54: P( 4 3 2 (r) 4 1 Pair correlation f
Page 55 and 56: SAS Form Factor Modeling of great g
Page 57 and 58: Two-Component Systems 57 Managed by
Page 59 and 60: Interparticle Structure Factor S(Q)
Page 61 and 62: S(Q) and Statistical Thermodynamics
Page 63 and 64: Structural Hierarchy (particulate)
Page 65: SAS Summary • SAS applications ar

Small Angle Scattering of neutrons and xrays - NeutronXraySchool ...

Create successful ePaper yourself

Delete template?

Save as template?