Anomale R�ntgenstreuung schwerer Atome im Bereich derK- undL-Kanten nach der wellenmechanischen Dispersionstheorie. II

Eisenlohr, H.H.; M�ller, G. L. J.

doi:10.1007/bf01338942

Cited by 3 publications

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“…If there are N atoms per cell, and M of these are anomalous PHYSICS: PEPINSKY AND OKA YA scatterers of one type only, P, contains M(N -M) positive peaks and an equal number of negative peaks. With M anomalous scatterers of only one species per cell (the usual case), we set fk' = fk, fk = 0 for the normal scatterers, and we can write, from equation 2, Fhk1j 2 -| FhiI 2 = 2Mfj' Zfk sin 27r[h(xkxi) + k(yk -Yj) + l(Zk -Zi)] (8) k Thus the difference between intensities Ihk and I-i-, depends on the imaginary component only of the anomalous scatterer and on the atomic structure factors and dispositions of the normally scattering atoms around each anomalous scatterer.…”

Section: Hkl -Comentioning

confidence: 99%

Determination of Crystal Structures by Means of Anomalously Scattered X-Rays

Pepinsky

Okaya

1956

Proc. Natl. Acad. Sci. U.S.A.

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is a better approximation for ,1 near the cell boundary than is the first term of equation (15). Series (24) involves quite a number of terms, but the magnitude of each term can be computed fairly accurately by the use of only a few F's. K This observation illustrates the differences and the relative advantages of the augmented-plane-wave method of computing st and the method discussed in the present paper. The quantities inside the braces in equation (24) can be considered as the unknown coefficients (the B's of equation [3 ]), and equation (5) can be integrated to produce a set of simultaneous equations4 for the B's which can be solved to find k2 and A1. Equation (5), however, involves the value and normal gradient of s1 at the surface of the sphere, where it can be represented by fewer terms in the expansion form (1) than by form (3). Therefore, the secular equation using the F's involves fewer terms than does that using the B's. Once the secular equation is solved, however, and the F's are obtained, to compute ,1 near the cell boundary it is often better to use series (24) than series (15).

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Section: Hkl -Comentioning

confidence: 99%

Determination of Crystal Structures by Means of Anomalously Scattered X-Rays

Pepinsky

Okaya

1956

Proc. Natl. Acad. Sci. U.S.A.

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Experimental and theoretical determination of the imaginary parts of the atomic scattering factors by means of the Borrmann effect in nearly perfect Si crystals

Hountas

Filippakis

Papathanassopoulos

et al. 1973

J. Phys. C: Solid State Phys.

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Measurement of the Atomic Scattering Factor of Ne, Ar, Kr, and Xe

Chipman

Jennings

1963

Phys. Rev.

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of three J=\ holes coupled to a spin of / = |. Using (r n *) = RM m with i^0=1.2X10-13 cm, we obtain (2=+0.09 b. This is considerably smaller than the measured quadrupole moment, and conceivably is due to configuration mixing or small deformations of the nuclear core. The only other shell-model state likely to contain the 61 st proton is d 5/ 2, but this is not allowed because the configuration (d 5/ 2) 3 coupling to 7=f is forbidden by the Pauli principle.On the assumption that the nuclear core of Pm 151 is highly deformed, there are two possible state assignments for the 61 st proton that give the correct spin and parity. When the notation of Mottelson and Nilsson is used, 5 these are f+ [413] and f+ [402]. We have calculated the nuclear moments of these states for different values of the deformation parameter 8. The value obtained for the level f+ [402] is about 3.7 nm and is insensitive to the deformation. The level f+ [413] gives a moment of 0.91 nm with a deformation parameter of 5-0.4. This is in better agreement with the ATOMIC SCATTERING FACTOR OF Ne, Ar, K>, AND Xe 729

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Anomale R�ntgenstreuung schwerer Atome im Bereich derK- undL-Kanten nach der wellenmechanischen Dispersionstheorie. II

Cited by 3 publications

References 0 publications

Determination of Crystal Structures by Means of Anomalously Scattered X-Rays

Determination of Crystal Structures by Means of Anomalously Scattered X-Rays

Experimental and theoretical determination of the imaginary parts of the atomic scattering factors by means of the Borrmann effect in nearly perfect Si crystals

Measurement of the Atomic Scattering Factor of Ne, Ar, Kr, and Xe

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