SANS scattering intensity proportional

In order to arrive at the correct values of radius of gyration from the raw SANS data, we should taken into account the concentration effect of D-chains, since the network samples used had high contents of deuterated strands, 8 and 15 wt % Two different methods were employed to take care of it. First, if we assume that the sample is incompressible or equivalently that the total structure factor S (q) is negligible, then the scattering intensity is directly proportional to the single chain scattering form factor S (q) ... 

The amount of salt necessary to remove completely the peak in the scattered intensity is roughly proportional to the polyelectrolyte concentration for NaPSS (SLS [115], SANS [118]) and proteoglycane (SLS [133]). It was conjectured that the Debye length must be of the order of the nearest neighbour distance in order to form a structure. This corresponds to the condition = 1 (see Sect. 2.1.2). 

The corresponding small angle neutron scattering (SANS) intensity is proportional to S Q,t=0). 

Here Lu is the luminosity of the source, 5Q the uncertainty of the momentum transfer of the scattered beam (defining also the smallest accessible Q value), and k = lit/k the wavevector of the incoming neutrons. Equation 2 shows that the intensity at the sample is proportional to the square of the length of the machine. Therefore, SANS instruments have a typicd length of 40 m reaching 80 m for D11 at the ILL. 

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