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what is pdf pioneering work by scientists such as max von lauer in the early 20th century established that x-ray diffraction is based on atomic scale units with a perfectly spaced arrangement when this nanometer sized unit is repeated over and over again it becomes a grid exhibiting long range order as we explore this long range order we see the atomic scale components lie along perfectly spaced lines in the real 3d world this grid is called a crystal a typical powder sample is made of a large number of crystals with random orientation each crystallite has a size of just a few microns when this powder is analyzed by x-ray diffraction we observe sharp intensity peaks at specific diffraction angles these intensity peaks correspond to the perfect lattice plane spacings in the crystal the explanation of this relation we owe to the braggs often though samples are not perfect rather than micron sized grains crystallite size can be in the nanometer range rather than perfect crystals defects