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On the Determination of Preferred Orientation in Ferritic Steels

  • John A. Slane (a1) and Frank Hultgren (a1)


A new approach to the analysis of preferred orientation in body centered cubic sheet materials is presented. The technique utilizes normalized extended inverse pole figures (2θ = 16 to 150°) taken in the plane normal, rolling, and transverse directions. Possible texture components are defined to be all unique sets of three mutually orthogonal crystallographic planes included in the diffraction pattern up to 150° 2θ for a total of 56 possible components. A computer program has been developed to calculate the contributions of various texture components relative to the three principal directions by two computer implemented algorithms, probability and successive decrementation. The two methods exhibit an apparent high correlation.

The calculated results are compared to monochromated direct pole figures for a highly textured material. The agreement is excellent.



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1. Cullity, B. D., Elements of X-Ray Diffraction, Addison-Wesley, Reading, Mass., 1956.
2. Harris, G. B., “Quantitative Measurement of Preferred Orientation in Rolled Uranium Bars”, Phil. Mag., 43: 113125, 1952.
3. Jetter, L. K., McHargue, C. J., and Williams, R. O., “Method of Representing Preferred Orientation Data”, J. Appl. Phys., 27: 368374, 1956.
4. Bunge, H. J., “A Remark on the Representation of Sheet Textures Through Three Inverse Pole Figures”, Z. Metallkunde, 56: 378379, 1965.
5. Jetter, L. K. and Borie, B. S. Jr., “A Method for the Quantitative Determination of Preferred Orientation”, J. Appl. Phys., 24: 532535, 1953.
6. Williams, R. O., “The Representation of the Textures of Rolled Copper, Brass, and Aluminum by Biaxial Pole Figures”, Trans. AIME, 242: 105115, 1968


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