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BSA Flow Software Installation and User's Guide - CSI

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Table of characteristic angles<br />

Definitions<br />

In addition, it is important to avoid the interference with third order<br />

refraction, i.e. either select a scattering angle of minimum 4° to 5° above ϕ r3 ,<br />

or at least about 15° below this angle. This means that you must consider<br />

the range of relative refractive index.<br />

Figure 7-49 illustrates as an example the situation where n rel may vary<br />

between 1.334 <strong>and</strong> 1.46. It is seen here that the rainbow angle of third order<br />

refraction sweeps almost the entire sector between the greatest value of ϕ c1<br />

<strong>and</strong> the smallest value of ϕ r , rendering only one useful angle.<br />

Figure 7-49: Intensity charts representing two relative refractive indices,<br />

1.46 (A) <strong>and</strong> 1.334 (B), determining the lower <strong>and</strong> upper bounds to the<br />

useful range of scattering angles.<br />

The following table is the basis for Figure 7-37: It can be used as a tool for<br />

selecting the scattering angle.<br />

• D min<br />

The minimum particle diameter to be measured (µm).<br />

• n1 The index of refraction of the particle.<br />

• n2 The index of refraction of the external medium.<br />

• nrel The relative index of refraction = n1/n2.<br />

• b0 Brewster’s angle for external reflection. This is the angle at<br />

which reflection is zero for polarization parallel to the scattering plane.<br />

• b2 Brewster’s angle for internal reflection. This is the angle at<br />

which reflection is zero for polarization parallel to the scattering plane.<br />

• c1 The critical angle for refraction. This is the maximum<br />

scattering angle for first order refraction.<br />

• c2 The critical angle for second order refraction. For nrel < 1, c2<br />

= c1.<br />

• r2 The rainbow angle for second order refraction.<br />

r3 The rainbow angle for third order refraction.<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Reference guide 7-55

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