Application du lissage des raies de diffraction des rayons X à la séparation du doublet Kα₁Kα₂

It may be very useful to know a mathematical expression which helps reconstruct the X-ray diffraction profile. It is in fact easier to work on one relation I(θ) = f(θ) rather than on a series of experimental points. The relation proposed in this paper,

gives a good correspondence between experimental values and the values calculated in the case of a monochromatic source. Its use still remains very simple in the case of a doublet, Kα₁Kα₂, which can be expressed as follows: I_Kα1(x) is given by the previous expression, Δ represents the angular separation of the doublet. Different forms of profiles are used in order to verify the validity of the relation proposed and the results are compared with those resulting from the Rachinger classical method.