Small Angle Scattering of neutrons and xrays - NeutronXraySchool ...
Small Angle Scattering of neutrons and xrays - NeutronXraySchool ...
Small Angle Scattering of neutrons and xrays - NeutronXraySchool ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
SANS <strong>of</strong> labeled<br />
stretched rubber<br />
• Stronger anisotropy at<br />
smaller q (larger distances)<br />
• Ellipse > diamond transition<br />
at large deformation<br />
• Warner-Edwards tube<br />
approach:<br />
affinely deformed Gauss chain<br />
⎧<br />
1 x<br />
r<br />
⎪<br />
2<br />
S ( q, λ) = 2N∫dx∫dx′ ∏exp<br />
⎨ ( Qμλμ) ( x−x′ ) −<br />
0 0 μ ⎪<br />
⎪⎩ ⎪⎩<br />
2<br />
d 2 2 μ<br />
μμ(1 −λμμ) 2<br />
2 6 R Rg<br />
19 Managed by UT-Battelle<br />
⎜ ( x−x′ ) ⎟⎪<br />
1−exp ⎢<br />
−<br />
⎥<br />
⎜ ⎢ 2 ⎬<br />
d ⎥ ⎟<br />
μ<br />
⎜ ⎢ ⎥⎟ ⎪<br />
⎜ 2<br />
2 6R<br />
⎟⎪<br />
⎝ ⎢⎣ g ⎥⎦⎠⎭<br />
for the U.S. Department <strong>of</strong> Energy Presentation_name<br />
Q<br />
⎛ ⎡ ⎤⎞⎫ ⎜ ⎢ ⎥⎟⎪<br />
non-affine fluctuation contribution<br />
NIST NG7 data<br />
1.5<br />
small q larger q<br />
2.0<br />
2.6<br />
29 2.9<br />
q max ~ 0.009 Å
Change language