Why Powder material for XRD test should be passing the 75 μm sieve? The different grain size distributions of powder materials can affect the phase composition derived from the signal?
It is to have just enough particles in the x-ray interaction volume of your XRD set up in order to have a nearly homogenous distribution of crystallites in angular space. Otherwise you may suffer from orientational artifacts, which will lead to variations in peak heights compared to the ideal case. Errors in peak heights will lead to errors in phase composition derived from XRD.
Prof. Hossein Aslani , Yes, as explained by Prof Gerhard Martens , the top picture is the coarse grain while the bottom is fine grain. The coarse grain give you sort of texture/preferred-orientation like effect but more complex.
For 0D or 1D detector the scan will be inside the blue arrow. If you use a static sample holder and you rotate your sample a few degree such in that picture, you will give a different intensity. Most modern machine equipped with rotating sample stage, but the result it not as good as small and homogeneous particle statistic.
In a derivation by Deane Smith, he showed that if you have a sample of 40 um size particles, of the ~10^5 particles you have in the diffracting volume, only ~12 will actually diffraction. You need to get down to 4 um particles, which will give you ~12000 particles diffracting. Even 10 um particles will only have ~760 particles diffracting.
It's all about reproducible intensities. If you need reproducible intensities to about ~1% relative, you need ~4-5 um particles.