Determination of Fe₃O₄ and Fe₂O₃ Contents by Mean of Multivariate Analysis of X-Ray Diffraction Method

Abstract

Twenty samples of mixed powder of Fe₃O₄ and Fe₂O₃ known content: were measured by Xray diffractometer and the I/I₀ to 2θ of 24 were picked up the measurements. The data filed for multivariate analysis such as cluster analysis, cluster analysis from deviation and principal component analysis was calculated from the matrix of 21×24, and the approximate value of Fe₃O₄ content in a sample was determined.
The accurate Fe₃O₄ content in a sample was calculated from the principal component score. The equations using the calculation are as follows.
D_x is the total principal component score for a sample. D_p-1 and D_p either and of D_x are the total principal component score to data field. M_p-1 and Mp are Fe₃O₄ content corresponding to D_p-1 and D_p X is Fe₃O₄ content of sample. The slope a and the intercept b are calculated from the equations (1) and (2). Differences between the theoretical and calculated values were 97% from calculated of 5 samples (Fe₃O₄ content are 15, 72, 26.04, 35.89, 70.26and 85.88%).