2003 Summer School NCNR, NIST Gaithersburg, MD 20890 Neutron Spin Echo Spectroscopy (NSE) Group A Alina Visinoiu Erick Lawson Gokhan Caliskan Jose Rodriguez.

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2003 Summer School NCNR, NIST Gaithersburg, MD Neutron Spin Echo Spectroscopy (NSE) Group A Alina Visinoiu Erick Lawson Gokhan Caliskan Jose Rodriguez Kapil Gupta Martin Sulic Mike Lewis Tessema Xabiher

Why NSE? H2OH2O C 10 H 22 Surfactant Surfactant film Goals: Spontaneous curvature Bending elasticity Saddle splay elasticity Diffusion: NMR Dynamic light scattering (t scale > 100 ns) Spontaneous curvature, bending elasticity, saddle splay elasticity shape fluctuations NSE (t scale ~ ns) Diffusion Shape fluctuations are in very short time and length scales!

Experimental Hydrophobic tail Hydrophilic head Surfactant molecule AOT Experiment I Diffusion of AOT micelles in C 10 D 22 (5.4 % vol. fraction) Experiment II Shape fluctuations in AOT/D 2 O/C 10 D 22 microemulsion (5.4/4.6/90 % vol. fraction) Inverse microemulsion droplet D2OD2O C 10 D 22 AOT Inverse spherical micelle C 10 D 22 ~ 25 AOTTranslational diffusion Translational diffusion Shape fluctuations

Principle of NSE n BB sample elastic scattering inelastic scattering Angle 0   0±0± Neutrons posses spin and magnetic moment. They precess in magnetic fields with the Larmor frequency that depends on the strangth of the magnetic field only. (g =1.83  10 8 s -1 T -1 ) B LL S N !

Summary of data analysis Experiment I AOT micelles in C 10 D 22 Experiment II AOT/D 2 O/C 10 D 22 microemulsion Goal: Calculate the bending modulus of elasticity Calculate the frequency of deformation

Echo Point determination Measured echo point for 13 fourier time points at three Q values (.05,.085,.12) Echo Point:- Phase current where the magnetic field integral in the two magnets are balanced.

Results Faster decay at high Q

Results Stokes-Einstein Relationship: D = (1-  )k B T/6  R h, R micelle =1.6nm R emulsion = 3.4nm Values are in good agreement with the SANS Data.

Results Q independent Q dependent Damping frequency ( 2 ) (Hz) 1.45e+7 Amplitude (a 2 ).0406 Mean radius (A 0 ) 34 D trans ( A 2 /ns) 4.24 Fitting model

Bending modulus 2 - damping frequency - amplitude of deformation p 2 - size polydispersity, measured by SANS k=.1k B T Fluctuations are thermal in origin

Summary Energy resolution is very high (10 -5 meV) Measures the Intermediate scattering function(I(Q,t)) Provides information on the Brownian dynamics of the particle Very small shape fluctuations can be characterized Acknowledgements NIST/NCNR staff NSF