Online Kramers-Kronig Transformation of optical constants in the X-ray regime
This tool provides a stable method to perform a Kramers Kronig Transformation of optical constants in the X-ray regime.
Transforms the absorbive part (beta) of the refractive index for a compound to receive the refractive part (delta)
Transforms the absorbive part (f'') of the scattering factor (using the unit electrons/atom) of an atom to receive the real part (f')
The data points can be non-equidistance.
Real Part Offset calculator for scattering factor f
Real Part Offset calculator for refractive index n
real part offset:
Provide a table with energies and the corresponding table with the imaginary part
The energies should be given in eV and must be sorted ascending. This is checked before the KK transformation.
The number of lines given in the energy table must be the same as in the imaginary part table. This is checked before the KK transformation.
Make sure, that two value are not provided for the same energy. This is checked before KK transformation.
The format of the number must follow the american convention (dot "." decimal point)
The real part is only calculated at the provided energies. To receive a higher resolution in some energy intervals you should provide more energies in that area.
The tool is only tested for the X-ray regime with an energy range of 10eV<energy<100000eV
The scattering factor f is a function of the momentum transfer q of the light and the incoming energy of the light e : f(q,e)=f(q)+f'(e) + i f''(e). If the offset is not set to zero f1=f(0)+f'(e)=Z+f'(e) is calulated.
The real part offset is only necessary, when you want to calculate the real part in absolute units. For relative spectra (like XMCD) the offset must be set to zero!