Spectroscopy beta version 0.5

Study of the dispersion of light

Prism spectroscope

1. Theoretical considerations.

The dispersion of the electromagnetic waves consists of the dependence of the refraction index upon the frequency of the wave.

In classic theory of absorption we consider the molecule of a material as a sat of linear oscillators of different masses [mk] and charges [qk].

The electric field of a wave determines forced oscillations of the particles that have those masses and charges, and those particles move their equilibrium among different distances [rk].

That distance [rk] is obtained by integrating the movement equation of the k oscillator, and afterwards is obtained the relative electric permittivity µr.

Finally we obtain:

where N is the number of molecules over volume, e is the charge of the electron, m is the mass of the electron, and É0 is the own frequency of the oscillator.