Dielectric function tools

New in version 0.7.

Number of effective electrons

New in version 0.7.

The Bethe f-sum rule gives rise to two definitions of the effective number (see [Egerton2011]):



where n_a is the number of atoms (or molecules) per unit volume of the sample, \epsilon_0 is the vacuum permittivity, m_0 is the elecron mass and e is the electron charge.

The get_number_of_effective_electrons() method computes both.

Compute the electron energy-loss signal

New in version 0.7.

The get_electron_energy_loss_spectrum() “naively” computes the single-scattering electron-energy loss spectrum from the dielectric function given the zero-loss peak (or its integral) and the sample thickness using:


where I_0 is the zero-loss peak integral, t the sample thickness, \beta the collection semi-angle and \theta(E) the characteristic scattering angle.