“…JCPDS contains data for the certain set of chemical compounds, but in practice, for example, while studying glass ceramics, researchers have to deal with phases of variable compositions that would have, in turn, variable lattice parameters and, thus, variable angles for the observed A c c e p t e d M a n u s c r i p t 26 reflection lines. Very frequently, according to the X-ray diffraction analysis data, nanoparticles formed in the glass matrices belong to the face-centered cubic fluorite-type structure [69,88,77,80,144,143,145,138], and one of the simplest examples could be the cubic M 1-x R x F 2+x (M = Ca, Sr, Ba, Pb; R = rare earth element) solid solutions that have their crystal lattice parameters changing over quite broad intervals.…”