What is Hartmann Dispersion Formula?
Hartmann dispersion formula is a semi-empirical formula. It is also referred to as Cornu Hartmann formula. It relates refractive index (n) with the wavelength (λ). It is given by: n (λ)= X + Y/( λ-Z)............................................................Equation 1 X, Y, and Z are empirical constants while n (λ) is the refractive index of a material of light of wavelength λ. The constants derived as follows: Z= [(n 1 -n 2 )/ (n 2 -n 3 ) λ 1 (λ 2 - λ 3 ) - λ 3 - λ 3 (λ 1 - λ 2 )]/ [(n1-n2)/ (n2-n3) (λ2- λ 3 )-(λ1- λ 2 )]-....................................................................................Equation 2 Y= (n 1 -n 2 )/ [1/ (λ1-Z)-(1/ (λ2-Z)…………………………Equation 3 X=n 1 -B/ (λ1-Z)…………………………………………...Equation 4 Hartmann dispersion formula is applied in the measurements of spectra wavelengths taken on a prism instruments. Constant Z is the spectrometer optical function. In the laboratory, it usua...