Abstract
The aim of this chapter is to point out the relevance of magnetization density studies by means of polarized neutron diffraction (PND) for understanding the magnetic behaviour of materials. Recent advances in the PND technique are overviewed. Major improvements in PND data analysis concern magnetization density reconstruction using the Maximum of Entropy Method (MEM) and the new method based on the local susceptibility tensor approach for non collinear moments in strongly anisotropic materials. The well established model refinement methods are based on the atomic orbital (AO) model and the multipole model. The interest of magnetization density studies for studying novel molecule-based magnetic materials is demonstrated on the basis of selected examples.
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Notes
- 1.
L = 3,5-di-ter-butyl-1,2-semiquinonato 1(2-hydroxy-3,5-di-ter-butylphenyl)imine.
- 2.
t-bupy = p-tertbutylpyridine.
- 3.
Nit = C7H12N2O2
- 4.
NitSMePh = p-(Methylthio)phenyl Nitronyl Nitroxide.
- 5.
(cth) = 5,7,7,12,14,14-hexamethyl-1,4,8,11-tetraazacyclotetradecane, (opxn) = N,N′-bis-(3-aminopropyl) oxamide.
- 6.
(pba) = 1,3-propylenebis (oxamato).
- 7.
Fe II8 pcl = [(tacn)6Fe8O2(OH)12]Br4.3(ClO4)3.7, 6H2O with (tacn) = 1,4,7-triazacyclononane.
- 8.
F2PNNNO = 2-[2′,6′-difluoro-4′-(N-tert-butyl-N-oxyamino)phenyl]-4,4,5,5-tetramethyl-4,5-dihydro-1 H-imidazol-1-oxyl.
- 9.
tBuNO = tertio-Butyl-nitroxide.
References
Schweizer J (2006) Polarized neutrons and polarization analysis. In: Chatterji T (ed) Neutron scattering from magnetic crystals. Elsevier, Amsterdam, pp 153–213
Lawson PK, Cooper MJ, Dixon MAG, Timms DN, Zukowski E, Itoh F, Sakurai H (1997) Magnetic-Compton-scattering study of spin moments in UFe2. Phys Rev B 56:3239–3243
Tsutsui S, Sakurai Y, Itou M, Matsuda TD, Haga Y, Onuki Y (2005) Magnetic Compton scattering study of UCoAl. Phys B 359–361:1117–1119
Kučera M, Kuneš J, Kolomiets A, Diviš M, Andreev AV, Sechovsky V, Kappler JP, Rogalev A (2002) X-ray magnetic circular dichroism studies of 5f magnetism in UCoAl and UPtAl. Phys Rev B 66:144405
Muro T, Shishidou T, Oda F, Fukawa T, Yamada H, Kimura A, Imada S, Suga S, Park SY, Miyahara T, Sato K (1996) Magnetic circular dichroism of the S 2p, Co 2p, and Co 3p core absorption and orbital angular momentum of the Co 3d state in low-spin CoS2. Phys Rev B 53:7055
Neubeck W, Vettier C, de Bergevin F, Yakhou F, Mannix D, Ranno L, Chatterji T (2001) Orbital moment determination of simple transition metal oxides using magnetic X-ray diffraction. J Phys Chem Solid 62:2173–2180
Ito M, Tsuji N, Adachi H, Nakao H, Murakami Y, Taguchi Y (2005) Tokura, Y: direct observation of ordered orbital of YTiO3 by the X-ray magnetic diffraction technique. Nucl Instrum Method Phys Res B 238:237–241
Tsuji N, Ito M, Sakurai H, Suzuki K, Tanaka K, Kitani K, Adachi H, Kawata H, Koizumi A, Nakao H, Murakami Y, Taguchi Y, Tokura Y (2008) Magnetic Compton profile study of orbital ordering state of 3d electrons in YTiO3. J Phys Soc Jpn 77:023705–1–023705–4
Javorsky P, Sechovsky V, Schweizer J, Bourdarot F, Lelièvre-Berna E, Andreev AV, Shiokawa Y (2001) Magnetization densities in UCoAl studied by polarized neutron diffraction. Phys Rev B 63:064423
Kernavanois N, Ressouche E, Brown PJ, Henry JY, Lelièvre-Berna E (2003) Magnetization distribution in paramagnetic CoO: a polarized neutron diffraction study. J Phys Condens Matter 15:3433–3443
Akimitsu J, Ichikawa H, Eguchi N, Miyano T, Nishi M, Kakurai K (2001) Direct observation of orbital ordering in YTiO3 by means of the polarized neutron diffraction technique. J Phys Soc Jpn 70:3475–3478
Champion G, Arrio MA, Sainctavit P, Zacchigna M, Zangrando M, Finazzi M, Parmigiani F, Villain F, Mathoniere C, Cartier dit Moulin C (2003) Size effect on local magnetic moments in ferrimagnetic molecular complexes: an XMCD investigation. Monatshefte fur Chem 134:277–284
Moroni R, Cartier dit Moulin Ch, Champion G, Arrio M-A, Sainctavit Ph, Verdaguer M, Gatteschi D (2003) X-ray magnetic circular dichroism investigation of magnetic contributions from MnIII and MnIV ions in Mn12-ac. Phys Rev B 68:064407
Schweizer J, Gillon B (1999) In: Lahti PM (ed) Magnetic properties of organic radicals. Marcel Dekker, Inc, New York, p. 449
Schweizer J, Ressouche E (2001) In: Miller J, Drillon M (eds) MagnetoScience – from molecules to materials. Wiley, Berlin, pp 325–357
Zheludev A, Chiarelli R, Delley B, Gillon B, Rassat A, Ressouche E, Schweizer J (1995) Spin density in an organic biradical ferromagnetic crystal. J Mag Mag Mater 140–144:1439–1440
Gillon B (2001) Spin distributions in molecular systems with interacting transition metal ions. In: Miller J, Drillon M (eds) MagnetoScience – from molecules to materials. Wiley, Berlin, pp 357–378
Reynolds PA, Figgis BN (1990) On the charge density distribution in cobalt(III) ammine hexacyanochromate(III) complexes. Aust J Chem 43:1929–1934
Figgis BN, Kucharski ES, Vrtis M (1993) Spin and charge transfer through hydrogen bonding in [Co(NH3)5(OH2)][Cr(CN)6]. J Am Chem Soc 115:176–181
Pontillon Y, Caneschi A, Gatteschi D, Grand A, Ressouche E, Sessoli R, Schweizer J (1999) Experimental spin density in a purely organic free radical: visualization of the ferromagnetic exchange pathway in p-(methylthio)phenyl nitronyl nitroxide, Nit(SMe)Ph. Chem Eur J 5:3616–3624
Pillet S, Souhassou M, Pontillon Y, Caneschi A, Gatteschi D, Lecomte C (2001) Investigation of magnetic interaction pathways by experimental electron density measurements: application to an organic free radical, p(methylthio)phenyl nitronyl nitroxide. New J Chem 25:131–143
Baron V, Gillon B, Cousson A, Mathonière C, Kahn O, Grand A, Öhrström L, Delley B, Bonnet M, Boucherle JX (1997) Spin density maps for the ferrimagnetic chain compound MnCu(pba)(H2O)3,2H2O, (pba = 1,2 propylènebis(oxamato)): polarized neutron diffraction and theoretical studies. J Am Chem Soc 119:3500–3506
Pillet S, Souhassou M, Mathonière C, Lecomte C (2004) Electron density distribution of an oxamato bridged Mn(II)-Cu(II) bimetallic chain and correlation to magnetic properties. J Am Chem Soc 126:1219–1228
Carlisle CJ, Willis BTM (eds) (2009) Magnetic neutron diffraction. In: Experimental neutron scattering. Oxford University Press, New York, pp 172–193
Brown PJ (1992) Magnetic scattering of neutrons. In: Wilson AJC (ed) International tables for crystallography, vol C. Kluwer, Dordrecht, pp 512–514
Coppens P, Becker PJ (1992) Analysis of charge and spin densities. In: Wilson AJC (ed) International tables of crystallography, vol C. Kluwer, Dordrecht, pp 627–645
Gukasov A, Brown PJ (2002) Determination of atomic site susceptibility tensors from polarized neutron diffraction data. J Phys Condens Matter 14:8831–8839
Gukasov A, Goujon A, Meuriot JL, Person C, Exil G, Koskas G (2007) Super-6T2, a new position-sensitive detector polarized neutron diffractometer. Phys B 397:131–134
Tasset F (1995) Towards helium-3 neutron polarizers. Phys B 213&214:935–938
Dreyer J, Regnault L-P, Bourgeat-Lami E, Lelièvre-Berna E, Pujol S, Thomas M, Thomas F, Tasset F (2000) Cryopol: a superconducting magnetostatic cavity for a 3He neutron spin filter. Nucl Instrum Method Phys Res A 449:638
Hutanu V, Meven M, Lelièvre-Berna E, Heger G (2009) POLI-HEiDi: the new polarized neutron diffractometer at the hot source (SR9) at the FRMII – project status. Phys B 404:2633–2636
Anderson IS, Cook J, Felcher G, Gentile T, Greene G, Klose F, Koetzle T, Lelièvre-Berna E, Parizzi A, Pynn R, Zhao J (2005) Polarized neutrons for pulsed neutron sources. J Neutron Res 13:193–223
Tasset F, Brown PJ, Lelièvre-Berna E, Roberts T, Pujol S, Alibon J, Bourgeat-Lami E (1999) Spherical neutron polarimetry with Cryopad-II. Phys B 267–268:69
Brown PJ (2006) Spherical neutron polarimetry. In: Chatterji T (ed) Neutron scattering from magnetic crystals. Elsevier, Amsterdam, pp 215–244
Brown PJ, Forsyth JB, Lelièvre-Berna E, Tasset F (2002) Determination of the magnetization distribution in Cr2O3 using spherical neutron polarimetry. J Phys Condens Matter 14:1957–1966
Reynolds PA, Gilbert EP, Figgis BN (1996) Powder neutron diffraction in an applied magnetic field: a novel tool for transition metal chemistry. Inorg Chem 35:545–546
Wills AS, Lelièvre-Berna E, Tasset F, Schweizer J, Ballou R (2005) Magnetization distribution measurements from powders using a 3He spin filter: a test experiment. Phys B 356:254–258
Goujon A, Gillon B, Gukasov A, Jeftic J, Nau Q, Codjovi E, Varret F (2003) Photoinduced molecular switching studied by polarized neutron diffraction. Phys Rev B 67:220401(R)
Papoular RJ, Gillon B (1990) Maximum entropy reconstruction of spin density maps in crystals from polarized neutron diffraction data. Europhys Lett 13:429–434
Schleger P, Puig-Molina A, Ressouche E, Schweizer J (1997) A general maximum-entropy method for model-free reconstructions of magnetization densities from polarized neutron diffraction data. Acta Crystallogr A 53:426–435
Brown PJ (2004) Experimental attempts to measure non-collinear local magnetization. J Phys Chem Solid 65:1977–1983
Sakata M, Sato M (1990) Accurate structure analysis by the maximum-entropy method. Acta Crystallogr A 46:263–270
Gukasov A, Braden M, Papoular RJ, Nakatsuji S, Maeno Y (2002) Anomalous spin-density distribution on oxygen and Ru in Ca1.5Sr0.5RuO4: polarized neutron diffraction study. Phys Rev Lett 89:087202
Brown PJ (1992) Magnetic form factors. In: Wilson AJC (ed) International tables for crystallography, vol C. Kluwer, Dordrecht, pp 391–399
Clementi E, Roetti C (1974) Atom Data and Nucl Data Tab 14:177
Hansen NK, Coppens P (1978) Testing aspherical atom refinements on small-molecule data sets. Acta Crystallogr A 34:909–921
Brown PJ, Capiomont A, Gillon B, Schweizer J (1979) Spin densities in free radicals. J Mag Mag Mater 14:289–294
Boucherle JX, Gillon B, Maruani J, Schweizer J (1982) Determination by polarized neutron diffraction of the spin density distribution in a non-centrosymmetrical crystal of DPPH:C6H6. J de Physique ColloqueC7 43:227–234
Coppens P (1997) X-ray charge densities and chemical bonding. IUCr texts on crystallography 4. Oxford University Press, Oxford/New York
Claiser N, Souhassou M, Lecomte C, Gillon B, Carbonera C, Caneschi A, Dei A, Gatteschi D, Bencini A, Pontillon Y, Lelièvre-Berna E (2005) Combined charge and spin density experimental study of the yttrium(III) semiquinonato complex Y(HBPz3)2(DTBSQ) and DFT calculations. J Phys Chem B 109:2723
Holladay A, Leung P, Coppens P (1983) Generalized relations between d-orbital occupancies of transition metal atoms and electron-density multipole population parameters from X-ray diffraction data. Acta Crystallogr A 39:377
Squires GL (1978) Introduction to the theory of thermal neutron scattering. University Press, Cambridge, p. 139
Kernavanois N, Grenier B, Huxley A, Ressouche E, Sanchez JP, Flouquet J (2001) Neutron scattering study of the ferromagnetic superconductor UGe2. Phys Rev B 64:174509
Hiess A, Bourdarot F, Coad S, Brown PJ, Burlet P, Lander GH, Brooks MSS, Kaczorowski D, Czopnik A, Troc R (2001) Spin and orbital moments in itinerant magnets. Europhys Lett 55:267–272
Prokes K, Gukasov A (2009) Magnetization densities in URhSi studied by polarized neutron diffraction. Phys Rev B 79:024406
Brown PJ, Neumann KU, Simon A, Ueno F, Ziebeck KRA (2005) Magnetization distribution in CoS2; is it a half metallic ferromagnet? J Phys Condens Matter 17:1583–1592
Schweizer J (1980) Interpretation of magnetization densities. In: Becker P (ed) Electron and magnetization densities in molecules and crystals, vol 48, NATO advanced study institutes series, series B: physics. Plenum Press, New York, pp 501–519
Gukasov A, Cao H, Mirebeau I, Bonville P (2009) Spin density and non-collinear magnetization in frustrated pyrochlore Tb2Ti2O7 from polarized neutron scattering. Phys B 404:2509–2512
Gukasov AG, Rogl P, Brown PJ, Mihalik M, Menovsky A (2002) Site susceptibility tensors and magnetic structure of U3Al2Si3: a polarized neutron diffraction study. J Phys Condens Matter 14:8841–8851
Borta A, Gillon B, Gukasov A, Cousson A, Luneau D, Jeanneau E, Ciumacov I, Sakiyama H, Tone K, Mikuriya M (2011) Local magnetic moments in a dinuclear Co2 + complex as seen by polarized neutron diffraction: Beyond the effective spin-1/2 model. Phys Rev B 83:184429
Kumazawa S, Kubota Y, Takata M, Sakata M, Ishibashi Y (1993) MEED: a program package for electron-density-distribution calculation by the maximum-entropy method. J Appl Crystal 26:453–457
Ressouche E, Boucherle JX, Gillon B, Rey P, Schweizer J (1993) Spin density maps in nitroxide-Copper(II) complexes. A polarized neutron diffraction determination. J Am Chem Soc 115:3610–3617
Matthewman JC, Thompson P, Brown PJ (1982) The CCSL library. J Appl Crystallogr 15: 167–173; Brown PJ (2006) Cambridge crystallographic subroutine library. documentation on https://www.ill.eu/sites/ccsl/html/ccsldoc.html
Frontera C, Rodriguez-Carvajal J (2003) FullProf as a new tool for flipping ratio analysis. Phys B 335:219–222
Kahn O (1993) Molecular magnetism. VVH Publishers, Inc., New York
Pontillon Y, Bencini A, Caneschi A, Dei A, Gatteschi D, Gillon B, Sangregorio C, Stride J, Totti F (2000) Spin density map of the triplet ground state of a Titanium(IV) complex with the Schiff base diquinone radical ligands: a polarized neutron diffraction and DFT investigation. Angew Chem Int Eng Ed 39:1786–1788
Aebersold M, Gillon B, Plantevin O, Pardi L, Kahn O, Bergerat P, von Seggern I, Tuczek F, Öhrström L, Grand A, Lelièvre-Berna E (1998) Spin density maps in the triplet ground state of [Cu2(t-bupy)4(N3)2](ClO4)2 (t-bupy = p-tert-butylpyridine): a polarized neutron diffraction study. J Am Chem Soc 120:5238–5245
Baron V, Gillon B, Plantevin O, Cousson A, Mathonière C, Kahn O, Grand A, Öhrström L, Delley B (1996) Spin density maps in an oxamido-bridged Mn(II)Cu(II) binuclear compound; polarized neutron diffraction and theoretical studies. J Am Chem Soc 118:11822–11830
Kahn O, Mathonière C, Srinavasan B, Gillon B, Baron V, Grand A, Öhrström L, Ramashesha S (1997) Spin distributions in antiferromagnetically coupled Mn2+Cu2+ systems: from the pair to the infinite chain. New J Chem 21:1037–1045
Caneschi A, Gatteschi D, Sessoli R, Schweizer J (1998) Magnetization density in a Mn high-spin (S = 12) magnetic cluster. Phys B 241–243:600
Robinson RA, Brown PJ, Argyriou DN, Hendrickson DN, Aubin DMJ (2000) Internal magnetic structure of Mn12 acetate by polarized neutron diffraction. J Phys Condens Matter 12:2805–2810
Pontillon Y, Caneschi A, Gatteschi D, Sessoli R, Ressouche E, Schweizer J, Lelièvre-Berna E (1999) Magnetization density in an iron(III) magnetic cluster. A polarized neutron investigation. J Am Chem Soc 121:5342
Gillon B, Sangregorio C, Caneschi A, Gatteschi D, Sessoli R, Ressouche E, Pontillon Y (2007) Experimental spin density in the high spin ground state of the Fe8pcl cluster. Inorg Chim Acta 360:3802–3806
Ruiz E, Rajaraman G, Alvarez S, Gillon B, Stride J, Clérac R, Larionova J, Decurtins S (2005) Symmetry and topology determine the MoV–CN–MnII exchange interactions in high-spin molecules. Angew Chem Int Ed 44:2711–2715
Gillon B, Larionova J, Ruiz E, Nau Q, Goujon A, Bonadio F, Decurtins S (2008) Experimental and theoretical study of the spin ground state of the high-spin molecular cluster [NiII{NiII(CH3OH)3}8(μ-CN)30{WV(CN)3}6],15CH3OH by polarized neutron diffraction and density functional theory calculations. Inorg Chem Acta 361:3609–3615
Zheludev A, Garlea VO, Nishina S, Hosokoshi Y, Cousson A, Gukasov A, Inoue K (2007) Spin-density distribution in the partially magnetized organic quantum magnet F2PNNNO. Phys Rev B 75:104427
Decurtins S, Gütlich P, Hasselbach MK, Spiering H, Hauser A (1985) Light-induced excited-spin-state trapping in iron(II) spin-crossover systems. Optical spectroscopic and magnetic susceptibility study. Inorg Chem 24:2174
Ogawa Y, Koshihara S, Koshino K, Ogawa T, Urano C, Takagi H (2000) Dynamical aspects of the photoinduced phase transition in spin-crossover complexes. Phys Rev Lett 84:3181
Sato O, Iyoda T, Fujishima A, Hashimoto K (1996) Photoinduced magnetization of a cobalt-iron cyanide. Science 272:704
Matsuda K, Machida A, Moritomo Y, Nakamura A (1998) Photoinduced demagnetization and its dynamical behavior in a (Nd0.5Sm0.5) 0.6Sr0.4MnO3 thin film. Phys Rev B 58:R4023
Becker PJ, Coppens P (1985) About the simultaneous interpretation of charge and spin density data. Acta Crystallogr A 41:177–182
Qureshi N, Zbiri M, Rodriguez-Carvajal J, Stunault A, Ressouche E, Hansen TC, Fernandez-Diaz T, Rodriguez-Valazaman J, Sanchez-Montero J, Johnson MR, Fuess H, Ehrenberg H, Sakurai Y, Itou M, Gillon B (2009) Experimental magnetic form factors in Co3V2O8: A combined study of ab initio calculations, magnetic Compton scattering and polarized neutron diffraction. Phys Rev B 79:094417
Gillet JM (2007) Determination of a one-electron reduced density matrix using a coupled pseudo-atom model and a set of complementary scattering data. Acta Crystallogr A 63: 234–238
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The authors thank A. Gukasov for many helpful discussions.
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Gillon, B., Becker, P. (2011). Magnetization Densities in Material Science. In: Gatti, C., Macchi, P. (eds) Modern Charge-Density Analysis. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3836-4_8
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