if the matrix was metal oxide and use any dopant material to get new physical properties we observe that some peak in the XRD pattern will disappear.
When doping crystalline material it is possible to disrupt the lattice, when this happens the crystal structure could change or become amorphous.
Attached is a recent nature publication on the topic.
https://www.nature.com/articles/s41598-017-12730-8
The insertion/substitution of a dopant atom in a compound can alter the symmetry and the space group of the recipient compound. Therefore , the extinction rules which govern the intensities of the peaks can change. After a careful exam of the existence of the two different space groups you have a two fold interpretation. If you find a peak having variable relative intensity ,I/I0, with respect to its normal intensity I0 in a given crystal structure, you can assume both descriptions: the first one that the compound is made of a mixture of two phases (the normal phase with probability P=I/I0 and the other phase with probability 1-P); the second description (more statistical ) tells you that in the crystal structure of the normal phase you have the probability 1-P to find the insertion/substitution atom in each elementary cell.
I agree with previous answers, apparently changes occur in crystal structure
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