| In all kinds of the clay minerals identified methods, the phase qualitative analysis used the X-ray powder diffraction technology is one effective method. Collecting the standard X-ray powder diffraction data of mineral of clay, composes a data set; the testing sample's d-I diffraction data, regards as a complex vector in a unitary space, then comparing with the standard data, thus transforms the phase identification as the question of similarity match between two complex vectors, obtains the result of sample's ownership finally. In mixture phase analysis methods, a factor pattern method established by Fiala is inference rigorous and convenient applying. But in the applying process, there are some difficulties: One eigenvalue criterion, it is relatively large in applying process, based on the error theory of the chemical factor analysis, using standard deviation estimate criterion and the criterion of contract eigenvalue replace the old criterion, the result of verdict is better; In the applying process, it must solve the multiple multi-dimensional linear regression equation, in the related literatures, it has not clearly given the method of solution, causes the corresponding difficulty, solving the problem is transformed into a quadratic programming problems, then using the Programming Module of Microsoft Office Excel, thus obtained the equation solution conveniently, it has provided one way for the applying of Fiala's factor pattern method. Based on the standard diffraction data set, analyzing the sample diffraction data, thus obtains the sample's ownership, the identification pattern is one feasible research technique. |