I have been successful in synthesizing magnetite nanoparticle (Fe3O4), then its diffraction data (2 theta, taken from XRD) have been issued, but I'm still confused in determining the Miller index exempt from JCPDF?
if you want to do it yourself, you need to convert the 2theta angles into d spacings using Braggs equation (n(lambda)=2d(sin)(theta)). n=1, lambda=wavelength of the xrays. The JCPDF card has d spacings on (usually in Angstroms) so you just see which peak position matches which hkl assigment on the card. e.g. the (311) peak is the most intense for a powder (intensity 100) at 2.532 Angstroms, which is at about 2theta=35.4 degrees. It is good to compare it to other iron oxides, e.g. maghemite has a very similar structure to magnetite so it can be very difficult to conclude that you have magnetite and not maghemite from XRD alone.
if you want to do it yourself, you need to convert the 2theta angles into d spacings using Braggs equation (n(lambda)=2d(sin)(theta)). n=1, lambda=wavelength of the xrays. The JCPDF card has d spacings on (usually in Angstroms) so you just see which peak position matches which hkl assigment on the card. e.g. the (311) peak is the most intense for a powder (intensity 100) at 2.532 Angstroms, which is at about 2theta=35.4 degrees. It is good to compare it to other iron oxides, e.g. maghemite has a very similar structure to magnetite so it can be very difficult to conclude that you have magnetite and not maghemite from XRD alone.
As indicated by Volker, the space group of magnetite is cubic, thus the indexing of the structure is straightforward (i.e. you simply have to look at the sum of the squared h^2 +k^2 + l^2), keeping in mind that some of the reflexes may be forbidden and thus have zero intensity (as far as I have in mind, mixed even/odd reflexes are forbidden) ... Best regards, Dirk