6. Conclusion
Anomalous or resonant diffraction can be used to obtain much information about a given element in a crystal. However this information requires sophisticated tools (synchrotron rings), accurate experiments and complex analysis. This is a price that still needs to be paid to go beyond the anomalous complexity and/or correction and to fully extract and use this rich “anomalous” information. However, several applications are nowadays available for the MAD method to determine experimentally the phase and for the contrast method that uses the chemical sensitivity of resonant diffraction. This is also the case for the DAFS method: the fine structure of the diffracted intensity as a function of the energy can now be analyzed in very complex structures or systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.W. James-The optical principles of the diffraction of X-rays, Cornell Univ. Press, Ithaca, NY, USA (1965) Ox. Box Press, Woodbridge, CT, USA (1982)
J.J. Sakurai-Advanced Quantum Mechanics, Addison-Wesley, Reading, Mass., USA (1967, 1984)
J. Als-Nielsen-In “Neutron and Synchrotron Radiation for Condensed Matter Studies”, HERCULES vol. 1, J. Baruchel, J.L. Hodeau, M.S. Lehmann, J.R. Regnard & C. Schlenker eds, Les Editions de Physique-Springer-Verlag, 3 (1993)
J. Toll-J. Phys. Rev.104, 1760 (1956)
D.T. Cromer & D. Liberman-J. Chem. Phys.53, 1891 (1970)
S. Sasaki-Anomalous scattering factors for synchrotron radiation users calculated using the Cromer and Liberman method, National Laboratory for High Energy Physics, KEK, Tsukuba, Japan (1984)
R. Fourme, W. Shepard, M. Schiltz, M. Ramin & R. Kahn-In “Structure and Dynamics of Biomolecules”, HERCULES vol. IV, E. Fanchon, E. Geissler, J.L. Hodeau, J.R. Regnard & P. Timmins eds, Oxford University Press, Oxford (2000)
A. Freund-In “Anomalous scattering”, S. Ramaseshan & S.C. Abrahams eds, Munksgaard Copenhagen, 69 (1975)
D.H. Templeton, L.K. Templeton, J.C. Phillips & K.O. Hodgson-Acta Cryst. A36, 436 (1980)
P. Suortti, J.B. Hasting & D.E. Cox-Acta Cryst. A41, 413 (1985)
B. Lengeler-In “Resonant anomalous X-ray scattering”, G. Materlik, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 35 (1994)
T.S. Fukamachi, S. hosoya, T. Kawamura, S. Hunter & Y. Nakano-Jap. J. Appl. Phys.17, 326 (1978)
F. Stanglmeier, B. Lengeler, W. Weber, H. Göbel & M. Schuster-Acta cryst. A48, 626 (1992)
R. Begum, M. Hart, K.R. Lea & D.P. Siddons-Acta Cryst. A42, 456 (1986)
L. Sève, J.M. Tonnerre & D. Raoux-J. Appl. Cryst.31, 700 (1998)
U. Staub, O. Zaharko, H. Grimmer, M. Horisberger & F. D’Acapito-Eur. Phys. Lett.56, 241 (2001)
P. Dreier, P. Rabe, W. Malzfeldt & W. Nieman-J. Phys. C17, 3123 (1984)
J.P. Quintana, B.D. Butler & D.R. Haeffner-J. Appl. Cryst.24, 184 (1991)
J. Vacinova, J.L. Hodeau, P. Wolfers, J.P. Lauriat & E. Elkaim-J. Synchrotron Radiation2, 236 (1995)
J.J. Hoyt, D.U de Fontaine & W.K. Warburton-J. Appl. Cryst.17, 344 (1984)
U. Bonse, I. Hartmann-LOTSCH & H. LOTSCH-Nucl. Instr. Meth.208, 603 (1983)
Y. Okaya & R. Pepinsky-Phys. Rev.103, 1645 (1956)
C.M. Mitchell-Acta Cryst.10, 475 (1957)
J. KARLE-Int. J. Quant. Chem.7, 357 (1980)
J. Karle-Physics Today, June issue, 22 (1989)
W.A. Hendrickson-Science254, 51 (1991)
R. Kahn, R. Fourme, R. Bosshard, M. Chiadmi, J.L. Risler, O. Dideberg & J.P. Wery-FEBS Lett.179, 133 (1985)
J.M. Guss, E.A. Merritt, R.P. Phizackerley, B. Hedman, M. Murata, K.O. Hodgson & H.C. Freeman-Science241, 806 (1988)
M.R. Peterson, S.J. Harrop, S.M. McSweeney, G.A. Leonard, A.W. Thompson, W.N. Hunter & J.R. Helliwell-J. Synchrotron Radiation3, 24 (1996)
W. Shepard, W.B.T. Cruse, R. Fourme, E. de la Fortelle & T. Prangé-Structure6, 849 (1998)
A. Volbeda, E. Garcin, C. Piras, A.L. de Lacey, V.M. Fernandez, E.C. Hatchikian, M.C. Frey & J.C. Fontecilla-Camps-J. Am. Chem. Soc.118, 12989 (1996)
J.P. Attfield-Mater. Sci. Forum228–231, 201 (1996)
G. Heger-In “Neutron and Synchrotron Radiation for Condensed Matter Studies”, HERCULES vol. 2, J. Baruchel, J.L. Hodeau, M.S. Lehmann, J.R. Regnard & C. Schlenker eds, Les Editions de Physique-Springer-Verlag, Berlin, 23 (1994)
D. Cox & A.P. Wilkinson-In “Resonant anomalous X-ray scattering”, G. Materlik, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 195 (1994)
Y. Waseda-Anomalous X-ray scattering for materials characterisation, Springer Tracts in Modern Physics Vol. 179, Springer Verlag, Berlin (2002)
R.S. Howland, T.H. Geballe, S.S. Laderman, A. Fisher-Colbrie, M. Scott, J.M. Tarascon & P. Barboux-Phys. Rev. B39, 9017 (1989)
J. Lorimier-Problématique des valences mixtes dans les ferrites nanométriques: possibilités offertes par la diffraction résonnante des rayons X, PhD Thesis, Dijon University (2000)
A.P. Wilkinson, A.K. Cheetham, S.C. Tang& W.J. Reppart-Chem. Comm., 1485 (1992)
R.J. Nelmes, P.D. Hatton, M.I. Mcmahon, R.O. Piltz, J. Crain, R.J. Cernik & G. Bushnell-Wye-Rev. Sci. Instr.63, 1039 (1992)
M.A.G. Aranda, D.C. Sinclair, J.P. Attfield & A.P. Mckenzie-Phys. Rev. B51, 12747 (1995)
G.H. Kwei, R.B. von Dreele, S.W. Cheong, Z. Fisk & J.D. Thompson-Phys. Rev. B 41, 1889 (1990)
P. Coppens, P. Lee, Y. Gao & H.S. Sheu-J. Phys. Chem. Solids52, 1267 (1991)
M.D. Marcos, M.A.G. Aranda, D.C. Sinclair & J.P. Attfield-Physica C235–240, 967 (1994)
J.M. Joubert, R. Cerny, M. Latroche, A. Percheron-Gueguan & K. Yvon-J. Appl. Cryst.31, 327 (1998)
M. Latroche, J.M. Joubert, A. Percheron-Guégan & P.H.L. Notten-J. of Solid State Chem.146, 313 (1999)
J.K. Warner, A.P. Wilkinson, A.K. Cheetham & D.E. Cox-J. Phys. Chem. Solids52, 1251 (1991)
R. Wulf-Acta. Cryst. A46, 681 (1990)
A.H. Moudden, D. Durand, M. Bessiere & S. Lefebvre-Phys. Rev. B37, 7655 (1988)
Y. Soejima, K. Yamasaki & K.F. Fischer-Acta Cryst. B53, 415 (1997)
V. Favre-Nicolin, S. Bos, E. Lorenzo, J.L. Hodeau, J.F. Berar, P. Monceau, R. Currat, F. Levy & H. Berger-Phys. Rev. Lett.87, 015502 (2001)
S. Hashimoto, H. Iwasaki, K. Ohshima, J. Harada, M. Sakata & H. Terauchi-J. Phys. Soc. Japan54, 3796 (1985)
G.E. Ice & C.J. Sparks-In “Resonant anomalous X-ray scattering”, G. MATERLIK, C.J. SPARKS & K. FISCHER eds, Elsevier Science B.V., Amsterdam, 265 (1994)
M. de Santis, A. de Andres, D. Raoux, M. Maurer, M. Piecuch & M. Ravet-Phys. Rev. B46, 15465 (1992)
A. DÉCHELETTE, M.C. SAINT-LAGER, J.M. TONNERRE, G. PATRAT, D. RAOUX, H. FISCHER, S. ANDRIEU & M. PIECUCH-Phys. Rev. B 60, 6623 (1999)
J.P. Simon, O. Lyon & D. de Fontaine-J. Appl. Cryst.18, 230 (1985)
P.H. Fuoss, P. Eisenberger, W.K. Warburton & A. Bienenstock-Phys Rev. Lett.46, 1537 (1981)
E. Matsubara & Y. Waseda-In “Resonant anomalous X-ray scattering”, G. Materlik, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 345 (1994)
D. Raoux-In “Resonant anomalous X-ray scattering”, G. Materlik, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 323 (1994)
C. Meneghini, A.F. Gualtieri & C. Siligardi-J. Appl. Cryst.32, 1090 (1999)
R. Revel, D. Bazin, E. Elkaim, Y. Kihn & H. Dexpert-J. Phys. Chem. B104, 9828 (2000)
D. BAZIN, L. Guczi & J. Lynch-J. Appl. Catalysis A226, 87 (2002)
M. Brown, R.E. Peierls & E.A. Stern-Phys. Rev. B15, 738 (1977)
U. Arp, A. Materlink, G. Meyer & M. Richter-In “X-ray Absorption Fine Structure”, S.S. Hasnain ed., 44 (1991)
P. Coppens-Synchrotron Radiation Crystallography, Academic Press, London (1992)
J. Wong, F.W. Lytle, R.P. Messmer & D.H. Maylotte-Phys. Rev. B30, 5596 (1984)
C. Brouder-J. Phys.: Condens. Matter2, 701 (1990) and references therein.
M. Benfatto, C.R. Natoli & E. Pace eds-Theory and computation for synchrotron radiation spectroscopy, A.I.P., New York (2000)
S. Bos-Etudes DANES: Méthodologie et application à des échantillons absorbants, PhD Thesis, Grenoble University (1999)
D.H. Templeton & L.K. Templeton-Acta Cryst. A36, 237 (1980)
D.H. TEMPLETON & L.K. TEMPLETON-Acta Cryst. A 38, 62 (1982)
D.H. Templeton-In “Resonant anomalous X-ray scattering”, G. Materlik, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 1 (1994)
V.E. Dmitrienko-Acta Cryst. A39, 29 (1983); Acta Cryst. A40, 89 (1984)
F. de Bergevin & M. Brunel-Phys. Lett. A39, 141 (1972)
M. Blume-In “Resonant anomalous X-ray scattering”, G. Materlik, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 495 (1994)
E. Beaurepaire, B. Carrière & J.P. Kappler eds-Magnetism and synchrotron radiation, Les Editions de Physique, les Ulis (1997)
D.E. Sayers, E.A. Stern & F.W. Lytle-Phys. Rev. Lett.27, 1024 (1971)
Y. Cauchois-C.R. Acad. Sci.242, 100 (1956)
Y. Cauchois & C. Bonnelle-C.R. Acad. Sci.242, 1596 (1956)
Y. Heno-C.R. Acad. Sci.242, 1599 (1956)
T.S. Fukamachi, S. Hosoya, T. Kawamura & J.B. Hastings-J. Appl. Cryst.10, 321 (1977)
I. Arcon, A. Kodre, D. Glavic & M. Hribar-J. Physique C9, 1105 (1987)
H. Stragier, J.O. Cross, J.J. Rehr, L.B. Sorensen, C.E. Boulin & J.C. Woicik-Phys. Rev. Lett.21, 3064 (1992)
I.J. Pickering, M. Sansone, J. March & G.N. George-J. Am. Chem. Soc.115, 6302 (1993)
L.B. Sorensen, J.O. Cross, M. Newville, B. Ravel, J.J. Rehr, H. Stragier, C.E. Boulin & J.C. Woicik-K In “Resonant anomalous X-ray scattering”, G. Materlik, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 389 (1994)
J.O. Cross, M. Newville, L.B. Sorensen, H.J. Stragier, C.E. Bouldin & J.C. Woicik-J. Physique IV7(C2), 745 (1997)
H. Renevier, J.L. Hodeau, P. Wolfers, S. Andrieu, J. Weigelt & R. Frahm-Phys. Rev. Lett.78, 2775 (1997)
M.A. Qing, J.F. Lee & D.E. Sayers-Physica B208–209, 663 (1995)
J.L. Hodeau & J. Vacínová-Synchrotron Radiation News9, 15 (1996)
J.C. Woicik, J.O. Cross, C.E. Bouldin, B. Ravel, J.G. Pellegrino, B. Steiner, S.G. Bompadre, L.B. Sorensen, K.E. Miyano & J.P. Kirkland-Phys. Rev. B58, R4215 (1998)
S. Grenier, M.G. Proietti, H. Renevier, L. Gonzalez, J.M. Garcia & J. Garcia-Euro. Phys. Lett.57, 499 (2002)
H. RENEVIER, J. WEIGELT, S. ANDRIEU, R. FRAHM & D. RAOUX-Physica B 208–209, 217 (1995)
M.G. Proietti, H. Renevier, J.L. Hodeau, J. Garcia, J.F. Berar & P. Wolfers-Phys. Rev. B59, 5479 (1999)
J.L. Hodeau, J. vacínová, Y. Garreau, A. Fontaine, E. Elkaïm, J.P. Lauriat, M. Hagelstein, J. Muller & A. Collomb-Nucl. Instr. Meth. B97, 115 (1995)
D.C. Meyer, K. Richter, A. Seidel, J. Weigelt, R. Frahm & P.J. Paufler-J. Synchrotron Radiation5, 1275 (1998)
A. Filipponi, A. Di Cicco & C.R. Natoli-Phys. Rev. B52, 15122 (1995)
S.I. Zabinski, J.J. Rehr, A. Ankudinov, R.C. Albers & M.J. Eller-Phys. Rev. B52, 2995 (1995)
E.A. Stern, M. Newville, B. Ravel, Y. Yacoby & D. Haskel-Physica B208–209, 117 (1995)
B. Ravel, C.E. Bouldin, H. Renevier, J.L. Hodeau & J.F. Berar-Phys. Rev. B60, 778 (1999)
H. Nakao, K. Ohwada, N. Takesue, Y. Fujii, M. Isobe, Y. Ueda, M. von Zimmermann, J.P. Hill, D. Gibbs, J.C. Woicik, I. Koyama & Y. Murakami-Phys. Rev. Lett.85, 4349 (2000)
S. Grenier, A. Toader, J.E. Lorenzo, Y. Joly, B. Grenier, S. Ravy, L.P. Regnault, H. Renevier, J.Y. Henry, J. Jegoudez & A. Revcolevski-Phys. Rev. B65, 180101 (2002)
A.P. Wilkinson, A.K. Cheetham & D.E. Cox-Acta Cryst. B47, 155 (1991)
J. Vacinova, J.L. Hodeau, P. Bordet, M. Anne, D. Cox, A. Fitch, P. Pattison, W. Schweggle, H. Graafsma & A. Kvick-Mater. Sci. Forum228–231, 241 (1996)
D.H. Templeton & L.K. Templeton-Acta Cryst. A41, 365 (1985)
D.H. Templeton & L.K. Templeton-Acta Cryst. A42, 478 (1986)
D.H. Templeton & L.K. Templeton-Acta Cryst. A43, 573 (1987)
A. Kirfel-In “Resonant anomalous X-ray scattering”, G. Materlink, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 231 (1994)
V.E. Dmitrienko & E.N. Ovchinnikova-Acta Cryst. A56, 340 (2000)
E.N. Ovchinnikova & V.E. Dmitrienko-Acta Cryst. A56, 2 (2000)
K.D. Finkelstein, M. Hamrick & Q. Shen-In “Resonant anomalous X-ray scattering”, G. Materlink, C.J. Sparks & K. Fischer eds, Elsevier Science B.V., Amsterdam, 91 (1994)
Y. Murakami, J.P. Hill, D. Gibbs, M. Blume, I. Koyama, M. Tanaka, H. Kawata, T. ARIMA, Y. Tokura, K. Hirota & Y. Endoh-Phys. Rev. Lett.81, 582 (1998)
M. Benfatto, Y. Joly & C.R. Natoli-Phys. Rev. Lett.83, 636 (1999)
K. Hagiwara, M. Kanazawa, K. Horie, J. Kokubun & K. Ishida-J. Phys. Soc. Japan68, 88 (1999)
J. Garcia, G. Subias, M.G. Proietti, H. Renevier, Y. Joly, J.L. Hodeau, J. Blasco, M.C. Sanchez & J.F. Berar-Phys. Rev. Lett.85, 578 (2000)
M. von Zimmermann, J.P. Hill, D. Gibbs, M. Blume, D. Casa, B. Keimer, Y. Murakami, Y. Tomioka & Y. Tokura-Phys. Rev. Lett.83, 4872 (1999)
H. Renevier, S. Grenier, S. Arnaud, J.F. Berar, B. Caillot, J.L. Hodeau, A. Letoublon, M.G. Proietti & B. Ravel-J. Synchrotron Radiation10, 435 (2003)
J.L. Hodeau, V. Favre-Nicolin, S. Bos, H. Renevier, E. Lorenzo & J.F. Berar-Chem. Rev.101, 1843 (2001)
D.C. Meyer, K. Richter, A. Seidel, J. Weigelt, R. Frahm & J.P. Paufler-J. Synchrotron Radiation10, 144 (2003)
D.H. Templeton & L.K. Templeton-Acta Cryst. A45, 39 (1989)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
Hodeau, J.L., Renevier, H. (2006). Anomalous Scattering and Diffraction Anomalous Fine Structure. In: Hippert, F., Geissler, E., Hodeau, J.L., Lelièvre-Berna, E., Regnard, JR. (eds) Neutron and X-ray Spectroscopy. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3337-0_7
Download citation
DOI: https://doi.org/10.1007/1-4020-3337-0_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3336-0
Online ISBN: 978-1-4020-3337-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)