Curved crystal optics and the resolution formalism: programs and optimization procedures

Abstract The problem of computing the neutron optics of curved-crystal spectrometers is reviewed. The conditions of focusing in scattering and the limitations to achievable resolutions are discussed. Experience with programs for resolution-intensity optimization is presented. Computational examples are given of high resolution configurations with bent crystals and open beams, showing significant intensity gain over conventional techniques. Quasi-elastic scattering measurements at energy transfer resolutions below 10 μeV are shown to be feasible at high luminosity. Curved monochromators for high resolution neutron powder diffraction, combining the beam focusing onto sample with focusing in scattering, are also discussed.

[1]  P. Mikula,et al.  A proposal for a highly efficient double-crystal monochromator for thermal neutrons , 1984 .

[2]  P. Lukas,et al.  The spatial condensation of the neutron beam by an asymmetric diffraction in thermal-neutron monochromatization , 1986 .

[3]  A. Stoica,et al.  Line shifts in crystal powder diffractometers , 1992 .

[4]  A. Stoica,et al.  Interpretation of bent-crystal rocking curves , 1988 .

[5]  B. Dorner,et al.  High-energy resolution in X-ray scattering with the spectrometer INELAX. I. The principles and the test instrument , 1991 .

[6]  A. Hewat Design for a conventional high-resolution neutron powder diffractometer , 1975 .

[7]  江橋 節郎,et al.  Handbook on synchrotron radiation , 1983 .

[8]  A. Stoica,et al.  On the Neutron Reflectivity of Bent Perfect Crystals , 1989 .

[9]  N. Popa Texture in Rietveld refinement , 1992 .

[10]  P. Mikula,et al.  An elastically bent silicon crystal as a monochromator for thermal neutrons , 1990 .

[11]  Z. H. Kalman,et al.  Determination of strain distribution in elastically bent materials by X-ray intensity measurement , 1979 .

[12]  Alexandru Dan Stoica,et al.  Optics of Curved-Crystal Neutron Spectrometers. I. Three-Axis Spectrometers , 1987 .

[13]  A. Arrott,et al.  Generalization of the parallel position in diffraction using elastically curved crystals , 1985 .

[14]  G. Dolling,et al.  A variable curvature analyser crystal for three-axis spectrometers , 1977 .

[15]  M. Koch,et al.  Monochromator- and analyser-crystal with variable curvature for triple-axis spectrometers , 1981 .

[16]  R. Kiehn,et al.  Neutron Inelastic Scattering , 1954 .

[17]  W. Yelon,et al.  A position-sensitive detector for neutron powder diffraction , 1984 .

[18]  R. Nathans,et al.  The resolution function in neutron diffractometry. I. The resolution function of a neutron diffractometer and its application to phonon measurements , 1967 .

[19]  P. Lukas,et al.  An experimental test of an elastically bent silicon crystal as a thermal-neutron monochromator , 1987 .

[20]  G. Peckham,et al.  Focusing conditions for a triple-axis neutron spectrometer , 1967 .

[21]  P. Suortti,et al.  On the phase-space description of synchrotron x-ray beams , 1989 .

[22]  W. Thomlinson,et al.  X-ray reflectivity of bent perfect crystals in Bragg and Laue geometry , 1990 .