Abstract
Most of the newly discovered mineral phases, as well as many new synthesized industrial materials, appear only in the form of nano crystals, with a size not sufficient for single-crystal x-ray structure analysis. The development of techniques able to investigate the structure of nano crystalline materials is therefore one of the most important frontiers of crystallography. The most widespread technique providing relatively fast and well consolidated routes for structure analysis of bulk materials is x-ray powder diffraction (XRPD). Nevertheless, XRPD suffers from intrinsic 1-dimension reduction of information that greatly limits its applicability in presence of peak broadening and overlapping. Peak broadening is usually caused by very small crystallites, namely less than 50nm. Overlapping of peaks is problematic mainly for intensity integration, but in case of polyphasic mixtures or significant amount of impurities it can be critical also for cell parameter determination and reflection indexing.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Andersson S, Wadsley AD (1962) The structures of Na2Ti6O13 and Rb2Ti6O13 and the alkali metal titanates. Acta Crystallogr 15:194–201
Andrusenko I, Mugnaioli E, Gorelik TE, Koll D, Panthöfer M, Tremel W, Kolb U (2011) Structure analysis of titanate nanorods by automated electron diffraction tomography. Acta Crystallogr B67:218–225
Avilov A, Kuligin K, Nicolopoulos S, Nickolskiy M, Boulahya K, Portillo J, Lepeshov G, Sobolev B, Collette JP, Martin N, Robins AC, Fischione P (2007) Precession technique and electron diffractometry as new tools for crystal structure analysis and chemical bonding determination. Ultramicroscopy 107:431–444
Baerlocher C, Gramm F, Massüger L, McCusker LB, He Z, Hovmöller S, Zou X (2007) Structure of the polycrystalline zeolite catalyst IM-5 solved by enhanced charge flipping. Science 315:1113–1116
Birkel CS, Mugnaioli E, Gorelik T, Kolb U, Panthöfer M, Tremel W (2010) Solution synthesis of a new thermoelectric Zn1+xSb nanophase and its structure determination using automated electron diffraction tomography. J Am Chem Soc 132:9881–9889
Burla MC, Caliandro R, Camalli M, Carrozzini B, Cascarano GL, De Caro L, Giacovazzo C, Polidori G, Siliqi D, Spagna R (2007) IL MILIONE: a suite of computer programs for crystal structure solution of proteins. J Appl Crystallogr 40:609–613
Capitelli F, Derebe MG (2007) Single crystal X-ray diffraction study of a pure natrolite sample. J Chem Cristallogr 37:583–586
Cowley JM (1956) Electron-diffraction study of the structure of basic lead carbonate, 2PbCO3·Pb(OH)2. Acta Crystallogr 9:391–396
Cowley JM, Goodman P, Vainshtein BK, Zvyagin BB, Dorset DL (2001) Electron diffraction and electron microscopy in structure determination. In: Shmueli U (ed) International tables for crystallography, Volume B, reciprocal space, 2nd edn. Kluwer Academic, Dordrecht
Denysenko D, Grzywa M, Tonigold M, Streppel B, Krkljus I, Hirscher M, Mugnaioli E, Kolb U, Hanss J, Volkmer D (2011) Elucidating gating effects for hydrogen sorption in MFU-4-type triazolate-based metal organic frameworks featuring different pore sizes. Chem Eur J 17:1837–1848
Dorset DL (1995) Structural electron crystallography. Plenum Press, New York
Dorset DL (2007) Electron crystallography of organic materials. Ultramicroscopy 107:453–461
Dorset DL, Hauptman HA (1976) Direct phase determination for quasi-kinematical electron diffraction intensity data from organic microcrystals. Ultramicroscopy 1:195–201
Dorset DL, Roth WJ, Gilmore CJ (2005) Electron crystallography of zeolites – the MWW family as a test of direct 3D structure determination. Acta Crystallogr A61:516–527
Dorset DL, Gilmore CJ, Jorda JL, Nicolopoulos S (2007) Direct electron crystallographic determination of zeolite zonal structures. Ultramicroscopy 107:462–473
Doyle PA, Turner PS (1968) Relativistic Hartree-Fock X-ray and electron scattering factors. Acta Crystallogr A24:390–397
Gemmi M, Klein H, Rageau A, Strobel P, Le Cras F (2010) Structure solution of the new titanate Li4Ti8Ni3O21 using precession electron diffraction. Acta Crystallogr B66:60–68
Gilmore CJ, Dong W, Dorset DL (2008) Solving the crystal structures of zeolites using electron diffraction data. I. The use of potential-density histograms. Acta Crystallogr A64:284–294
Kisielowski C, Erni R, Freitag B (2008a) Object-defined resolution below 0.5 Å in transmission electron microscopy – recent advances on the TEAM 0.5 instrument. Microsc Microanal 14:78–79
Kisielowski C, Freitag B, Bischoff M, van Lin H, Lazar S, Knippels G, Tiemeijer P, van der Stam M, von Harrach S, Stekelenburg M, Haider M, Uhlemann S, Müller H, Hartel P, Kabius B, Miller D, Petrov I, Olson EA, Donchev T, Kenik EA, Lupini AR, Bentley J, Pennycook SJ, Anderson IM, Minor AM, Shmid AK, Duden T, Radmilovic V, Ramasse QM, Watanabe M, Erni R, Stach EA, Denes P, Dahmen U (2008b) Detection of single atoms and buried defects in three dimensions by aberration– corrected electron microscope with 0.5-Å information limit. Microsc Microanal 14:469–477
Kolb U, Gorelik T, Kübel C, Otten MT, Hubert D (2007) Towards automated diffraction tomography: Part I—data acquisition. Ultramicroscopy 107:507–513
Kolb U, Gorelik T, Otten MT (2008) Towards automated diffraction tomography. Part II—cell parameter determination. Ultramicroscopy 108:763–772
Kolb U, Gorelik T, Mugnaioli E (2009) Automated diffraction tomography combined with electron precession: a new tool for ab initio nanostructure analysis. In Moeck P, Hovmoeller S, Nicolopoulos S, Rouvimov S, Petrok V, Gateshki M, Fraundorf P (ed) Electron crystallography for materials research and quantitative characterization of nanostructured materials, Materials research society symposia proceedings 1184: GG01-05, Warrendale PA
Kolb U, Gorelik TE, Mugnaioli E, Stewart A (2010) Structural characterization of organics using manual and automated electron diffraction. Polym Rev 50:35–409
Kolb U, Mugnaioli E, Gorelik TE (2011) Automated electron diffraction tomography – a new tool for nano crystal structure analysis. Cryst Res Technol 46:542–554
Lipson H, Cochran W (1966) The determination of crystal structures, revised and enlarged edition. Cornell University Press, Ithaca.
Mugnaioli E, Gorelik T, Kolb U (2009) “Ab initio” structure solution from electron diffraction data obtained by a combination of automated diffraction tomography and precession technique. Ultramicroscopy 109:758–765
Nicolopoulos S, González-Calbet JM, Vallet-Regí M, Corma A, Corell C, Guil JM, Pérez-Pariente J (1995) Direct phasing in electron crystallography: Ab initio determination of a new MCM-22 zeolite structure. J Am Chem Soc 117:8947–8956
Pinsker ZG (1953) Electron diffraction. Butterworth, London
Reimer L, Kohl H (2008) Transmission electron microscopy, physics of image formation, 5th edn. Springer, New York
Rigamonti R (1936) La struttura della catena paraffinica studiata mediante i raggi di elettroni. Gazz Chim Ital 66:174–182
Rozhdestvenskaya I, Mugnaioli E, Czank M, Depmeier W, Kolb U, Reinholdt A, Weirich T (2010) The structure of charoite, (K, Sr, Ba, Mn)15–16(Ca, Na)32[(Si70(O, OH)180)](OH, F)4.0 * nH2O, solved by conventional and automated electron diffraction. Miner Mag 74:159–177
Schömer E, Heil U, Schlitt S, Kolb U, Gorelik TE, Mugnaioli E, Stewart A (2009) ADT-3D. A software package for ADT data visualizing and processing, Institute of Computer Science. Johannes Gutenberg University, Mainz. http://www.adt.chemie.uni-mainz.de
Sheldrick GM (2008) A short history of SHELX. Acta Crystallogr A64:112–122
Spence JCH (2003) High-resolution electron microscopy, 3rd edn. Oxford Univeristy Press, New York
Thomas JM, Terasaki O, Gai PL, Zhou W, Gonzalez-Calbet J (2001) Structural elucidation of microporous and mesoporous catalysts and molecular sieves by high-resolution electron microscopy. Acc Chem Res 34:583–594
Vainshtein BK (1956) Kinematic theory of intensities in electron diffraction patterns. Part 2. patterns from textures and polycrystalline aggregates. Sov Phys – Crystallogr 1:117–122
Vainshtein BK (1964) Structure analysis by electron diffraction. Pergamon Press, Oxford
Vincent R, Midgley PA (1994) Double conical beam-rocking system for measurement of integrated electron diffraction intensities. Ultramicroscopy 53:271–282
Voigt-Martin IG, Yan DH, Yakimansky A, Schollmeyer D, Gilmore CJ, Bricogne G (1995) Structure determination by electron crystallography using both maximum-entropy and simulation approaches. Acta Crystallogr A51:849–868
Wagner P, Terasaki O, Ritsch S, Nery JG, Zones SI, Davis ME, Hiraga K (1999) Electron diffraction structure solution of a nanocrystalline zeolite at atomic resolution. J Phys Chem B103:8245–8250
Weirich TE, Ramlau R, Simon A, Hovmöller S, Zou X (1996) A crystal structure determined with 0.02 Å accuracy by electron microscopy. Nature 382:144–146
Weirich TE, Portillo J, Cox G, Hibst H, Nicolopoulos S (2006) Ab initio determination of the framework structure of the heavy-metal oxide CsxNb2.54W2.46O14 from 100 kV precession electron diffraction data. Ultramicroscopy 106:164–175
Williams DB, Carter CB (1996) Transmission electron microscopy. Plenum Press, New York
Zhukhlistov AP, Zvyagin BB (1998) Crystal structure of lizardite 1 T from electron diffraction data. Crystallogr Rep 43:950–955
Zhukhlistov AP, Avilov AS, Ferraris D, Zvyagin BB, Plotnikov VP (1997) Statistical distribution of hydrogen over three positions in the brucite Mg(OH)2 structure from electron diffractometry data. Crystallogr Rep 42:774–777
Acknowledgements
The authors thank Iryna Andrusenko, Dominik Koll, Govanna Vezzalini and Rossella Arletti for providing the samples and for useful discussion. The work was supported by the Deutsche Forschungsgemeinschaft in the Sonderforschungsbereich 625. Financial support for the workshop “Minerals as Advanced Materials II” came from the Deutsche Forschungsgemeinschaft DE 412/46-1.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mugnaioli, E., Gorelik, T.E., Stewart, A., Kolb, U. (2011). “Ab-Initio” Structure Solution of Nano-Crystalline Minerals and Synthetic Materials by Automated Electron Tomography. In: Krivovichev, S. (eds) Minerals as Advanced Materials II. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20018-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-20018-2_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20017-5
Online ISBN: 978-3-642-20018-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)