Partial multiplicity factors for texture correction of cubic structures in the disc‐shaped crystallite model

The correction of integrated intensities for preferred orientation in the disc‐shaped crystallite model is analyzed. The partial multiplicity factors have been derived to describe the relationships between the prominent – preferentially oriented – HKL pole density P H ( α ) and the total pole density P T h ( α = 0) for any set of symmetry‐equivalent planes { hkl }. (The angle α is referred to the sample‐surface normal.) The analysis of partial multiplicity factors revealed, in all crystal systems, the preferentially oriented planes { HKL } for which the general and partial multiplicity factors are equal for all ( hkl ) and showed the { HKL } planes that require the introduction of partial multiplicity into the intensity formula. Present results enable the application of the disc‐shaped crystallite model with a simple texture correction for all kinds of preferentially oriented planes { HKL } in all crystal systems, which is especially useful for cubic structures, where the special multiplicity factors have to be used for every { HKL }.