On extinction. IV. Integrated intensities in secondary-extinction theory

Based on the new energy-transfer equations [Kato (1976). Acta Cryst. A32, 458-466; Kato (1979). Acta Cryst. A35, 9-16] the integrated intensities (II) are calculated. Since the energy-transfer equations have physical meanings different from the traditional ones originally given by Darwin [Philos. Mag. (1922), 43, 800-824] and extended by Hamilton [Acta Cryst. (1957), 10, 629-634], the method of calculating (II) must be modified, particularly in the case of a wide incident beam. Since the modified method does not include the angular integration, it is much simpler than the traditional method. Thus, the analytically rigorous expressions of (II) can be obtained for parallel-sided crystals including absorption, and for any diffraction conditions.