Lattice parameters of hard materials in the low-temperature range

Wojciech Paszkowicz 1Paweł Piszora 2Wieslaw Lasocha 3,4Roman Minikayev 1Irene Margiolaki 5Michela Brunelli 6Andy Fitch 5

1. Polish Academy of Sciences, Institute of Physics, al. Lotników 32/46, Warszawa 02-668, Poland
2. Adam Mickiewicz University, Faculty of Chemistry, Grunwaldzka 6, Poznań 60-780, Poland
3. Jagiellonian University, Faculty of Chemistry, Ingardena 3, Kraków 30-060, Poland
4. Polish Academy of Sciences, Institute of Catalysis and Surface Chemistry, Niezapominajek 8, Kraków 30-239, Poland
5. European Synchrotron Radiation Facility (ESRF), Grenoble 38043, France
6. Europen Synchrotron Radiation Facility (ESRF), 6, Jules Horowitz, Grenoble 38000, France


Hard materials such as diamond and cubic boron nitride (cBN) exhibit, due to strong covalent bonding, a very weak thermal expansion at low temperatures. Below room temperature, the total variation of the unit-cell dimension of these materials is about or less than 10-3 Å, being comparable to the precision of lattice-parameter determination at a typical instrument. Experimental studies have been published for diamond single crystals [1,2], whereas detailed experimental studies for polycrystalline diamond and cBN have been performed only above the room temperature. In the present study, the results of measurement of lattice parameters of commercial diamond and cBN polycrystals will be presented. The measurements were performed using Debye-Scherrer geometry at ID31 beamline (ESRF) equipped with a bank of nine detectors preceded by Si 111 analyser crystals. Lattice parameters were calculated using the Rietveld refinement. The obtained experimental lattice parameter and thermal expansion temperature dependencies will be discussed on the basis of available litearature data.

    [1] T. Saotome, K. Ohashi, T. Sato, H. Maeta, K. Haruna, F. Ono, Thermal expansion of a boron-doped diamond single crystal at low temperatures, J. Phys.: Condens. Matt. 10 (1998) 1267-1272  

    [2] T. Sato, K. Ohashi, T. Sudoh, K. Haruna, H. Maeta, Thermal expansion of a high purity synthetic diamond single crystal at low temperatures, Phys. Rev. B 65 (2002) 092102

.[3] C. Giles, C. Adriano, A. Freire Lubambo, C. Cusatis, I. Mazzaro, M. Goncalves Hönnicke, Diamond thermal expansion measurement using transmitted X-ray back-diffraction, J.  Synchrotron Radiat. 12 (2005) 349-353

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Presentation: Poster at 11th European Powder Diffraction Conference, Poster session, by Wojciech Paszkowicz
See On-line Journal of 11th European Powder Diffraction Conference

Submitted: 2008-07-25 00:41
Revised:   2009-06-07 00:48
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