To be more clear. Five XRD pattern came from same nanoparticle (Bi2S3 NPs) with different shapes and sizes.How can I explain difference in the intensity of the same peaks?
the XRD beak intensity divert according to the samples crystallization which mainly cam from your different techniques of sample preparation, drying rate, solution concentration......etc
I assume that the 5 different XRD patterns came from same material but different samples. If the mass and or the exposure time of samples are different you will get intensity differences of the same peaks. THe fact that you say that there are shape and size differences strengthens my conclusion.
Besides the comments made above, especially the preferred orientation, if you used the same instrument you also want to check the alinement of your sample in the instrument.
There are several factors affecting the intensity of XRD. Instrument. Different diffractometers produces xrd patterns with different intensities. Normalizing the intensity can fix this issue. Crystallite size. Smaller crystallite size causes peaks being lower and wider. Microstrain. Greater microstrain causes peaks being lower and wider. Doping and Vacancy. Changing the atoms in the unit cell causes the changing of the diffraction intensity. Preferred Orientation. Preferred orientation may cause the peaks of some planes becoming unusually strong.