There is a simple algebraic formula relating turbidity to optical properties. You do not need Mie theory. It is given in van de Hulst "Light scattering from small particles" (a nice cheap reprint from Dover Press). More easily accessible are any of the Mie calculators avaiable on the Internet, say Miecalc, these will give the exact result.

There is a simple algebraic formula relating turbidity to optical properties. You do not need Mie theory. It is given in van de Hulst "Light scattering from small particles" (a nice cheap reprint from Dover Press). More easily accessible are any of the Mie calculators avaiable on the Internet, say Miecalc, these will give the exact result.

Dear Rafael,

I agree with Alan.  Use the turbidity formula found in van de Hulst's book or elsewhere and the scattering cross sections you calculate as a function of size, relative refractive indices and wavelength.  If you are small and transparent you may use Rayleigh's formula, otherwise go Mie. 

Like Alan suggests, I have found Laven's MieCalc to be accurate in several of the limits I have used it in, so it is a good shareware starting point for Mie calculations.

Best regards,

Mike Bender

Thank you very much Mr. Alan and Mr. Mike. Your answers helped me a lot. 

Sincerely,

Rafael Matos

Can you please in which page and chapter I can find that formula in the book van de Hulst "Light scattering from small particles" .

Philip Laven's MiePlot allows you to do this directly and, IMHO, is the best tool of its type available for free.  There is the Weber approximation too. See for example:

August 11th 2011 Optical properties of the three forms of titanium dioxide

http://tinyurl.com/pbgf9hj