Paul C Johns and Matthew P Wismayer 2004 Phys. Med. Biol. 49 5233 doi:10.1088/0031-9155/49/23/003
Paul C Johns1,2 and Matthew P Wismayer1
Show affiliationsThe feasibility of measuring the coherent x-ray scatter form factors of amorphous materials using powder diffractometers has been assessed. A five-step procedure was developed: (i) Low-angle background, consisting of a portion of the incident x-ray beam that passes directly to the detector, is measured using a specially designed replacement for the sample holder which absorbs most of the photons that otherwise would scatter off the sample holder cavity. (ii) Angle-dependent effects including monochromator efficiency and projected beam area are characterized by extracting the incoherent signal from the diffraction pattern of powdered graphite. The incoherent signal divided by the calculated incoherent cross section gives a correction factor as a function of scattering angle θ. (iii) Diffraction patterns are measured for the samples for θ = 2°–150°. (iv) The scattering data are corrected for background and then for angle-dependent effects. (v) The data are normalized to calculated free atom form factors at high θ, and the coherent form factor extracted. The method was implemented on two diffractometers at different energies (Co Kα and Cu Kα), and the results compared for water and plastics. Over the range 0.117 < x < 5.39 nm−1, where x = λ−1 sin(θ/2), the average form factor ratio for water was 0.93. Systematic errors are difficult to eliminate. While this x-ray powder diffractometer technique suffices for a survey measurement of the form factor of a material, its accuracy is probably insufficient for detailed studies.
Issue 23 (7 December 2004)
Received 12 July 2004, in final form 4 October 2004
Published 10 November 2004
Paul C Johns and Matthew P Wismayer 2004 Phys. Med. Biol. 49 5233
Y H Ren et al 2009 New J. Phys. 11 113013
M Sassowsky and E Pedroni 2005 Phys. Med. Biol. 50 5381
K. Ohtsuka et al 2007 ApJ 668 L71
Ruth Gregory and Jeffrey A Harvey 2003 Class. Quantum Grav. 20 L231
Itamar Sela and Doron Cohen 2006 J. Phys. A: Math. Gen. 39 3575
Serge Demers and Paolo Battinelli 1998 The Astronomical Journal 115 154
T Ossowski et al 2009 J. Phys.: Condens. Matter 21 485002
G Oskam et al 1998 J. Phys. D: Appl. Phys. 31 1927
Jon A. Morse et al. 2004 ApJ 614 727