## In Multi Angle Light Scattering the basic equation from Static Light Scattering can be used. Multi Angle Light Scattering in dilute polymer solutions can be expressed by the following equation:

**[(K’ * c) / R(θ)] = [1 /(Mw * P(θ)] + [2 * A2 * c]**

**R(θ)**= Excess intensity of scattered light at a given angle

**(θ)**;

**c**= Sample concentration

**Mw**= Molar mass weight-average

**A2**= Second viral coefficient

**K’**= Optical constant equal to

**4π2n2 (dn/dc)2 / (λo4NA)**

**n**= Solvent refractive index and dn/dc is the refractive index increment

**NA**= Avogadro’s number

**λo**= Wavelength of the scattered light

**P(θ)**= Complex function describing the angular dependence of the scattered light

## Based on this formula the following Multi Angle Light Scattering equation can be obtained:

**R(θ)/(K’*c) = M [ 1 – (2/3!) <rg2> [(4πn/λ) sin(θ/2)] 2 + (2/5!) <rg4> [(4πn/λ) sin(θ/2)] 4 ± ...]**

Using this formula

**R(θ)/(K’*c)**can be plotted against

**sin2(θ/2)**and the gyration radius

**rg**as well as the molar mass

**Mw**can be calculated.

**Rg**is the slope of the function at angle

**0°**and Mw can be derived from the intercept of the curve with the

**y-axis**.