Characterization of IPN Structure via Small-Angle Neutron Scattering

Characterization of IPN Structure via Small-Angle Neutron Scattering 

The way to interpret the experimental data and the details of the method were reported in [150-153]. It should be noted that the theoretical basis for SANS is similar to the theory developed for SAXS. All analytical methods developed for X-ray scattering can be adapted to the case of SANS. Below we follow the presentation of the SANS method given by McGarey [150] who used, in his turn, some theoretical approaches from [151-154]. 

The neutron ray with the wave vector Ko is scattered through an angle of 6 into a solid angle AQ. The scattered ray has a wave vector Ki and the position of the scattering center is described by the vector R. In elastic scattering experiments the absolute values of Kq and Xi are both equal to In/X. The scattering vector Q can be defined as 

The coherent intensity in SANS experiments is described by the cross section da/ dQ, which is the probability density fix / dQ = dX oh + incoh/47r that a neutron will be scattered in a solid angle A17  

This equation may be rewritten in terms of the macroscopic scattering cross section  

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Characterization of IPN Structure via Small-Angle Neutron Scattering. . . 91... 

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