Texture function application for wood ultrastructure description. Part 1: theory

The three-dimensional orientation distribution function (ODF), being a probability of the density of crystallographic orientations, is widely used for describing internal arrangement of polycrystalline materials (especially metals and alloys). The application of the ODF was enhanced in the paper for the monoclinic crystal symmetry. The algorithm of the crystallographic texture analysis based on the arbitrarily defined cells method was presented together with the discussion of the input data required for analyzing the space organization of the ultrastructure of materials with the monoclinic lattice symmetry. The test analysis was performed for the model material of the same type of the crystallographic lattice as in wood cellulose. The obtained ODF was presented and discussed. The results of the analysis were supplemented both with reconstructed complete pole figures and with the inverse pole figures.