TY - JOUR
T1 - Calculation of absorption and secondary scattering of X-rays by spherical amorphous materials in an asymmetric transmission geometry
AU - Bendert, J. C.
AU - Blodgett, M. E.
AU - Kelton, K. F.
PY - 2013/3
Y1 - 2013/3
N2 - Expressions for absorption and the secondary scattering intensity ratio are presented for a small beam impinging off-center of a spherical amorphous sample. Large gradients in the absorption correction are observed from small offsets from the central axis. Additionally, the secondary scattering intensity ratio causes an intensity asymmetry in the detector image. The secondary scattering intensity ratio is presented in integral form and must be computed numerically. An analytic, small-angle, asymptotic series solution for the integral form of the absorption correction is also presented.
AB - Expressions for absorption and the secondary scattering intensity ratio are presented for a small beam impinging off-center of a spherical amorphous sample. Large gradients in the absorption correction are observed from small offsets from the central axis. Additionally, the secondary scattering intensity ratio causes an intensity asymmetry in the detector image. The secondary scattering intensity ratio is presented in integral form and must be computed numerically. An analytic, small-angle, asymptotic series solution for the integral form of the absorption correction is also presented.
KW - attenuation correction factors
KW - secondary scattering
KW - X-ray scattering
UR - http://www.scopus.com/inward/record.url?scp=84873922426&partnerID=8YFLogxK
U2 - 10.1107/S0108767312046272
DO - 10.1107/S0108767312046272
M3 - Article
AN - SCOPUS:84873922426
SN - 0108-7673
VL - 69
SP - 131
EP - 139
JO - Acta Crystallographica Section A: Foundations of Crystallography
JF - Acta Crystallographica Section A: Foundations of Crystallography
IS - 2
ER -