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Dear Park,
in these cases the presence of secondary phases may help. If you can detect one or more peak of a secondary phase in the diffraction pattern, look if they are shifted on the right/left as those of the main phase (i.e. with similar shift amplitude). In this case there could be some kind of artifact in your data. Conversely, if you see that the peak-shift for the secondary phase (that should be present on account of the thermal effect) behave differently than that of your alloy, than you can conclude that the change of the lattice parameters is reliable. The more the peaks of the secondary phase, the more reliable is your conclusion.
Alberto
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