CRYSTALLITE SHAPE, SIZES AND LATTICE STRAINS OF COBALT POWDER

M.A. Kojdecki1, W. Mielcarek2

1Institute of Mathematics and Operations Research, Military University of Technology, ul. Kaliskiego 2, 01-489 Warszawa, Poland

2 Institute of Electrical Engineering, ul. Sklodowskiej-Curie 55, 50-950 Wroclaw, Poland

Cobalt powder in form of file dust was investigated. Polycrystalline cobalt rod was used as a standard sample. Two X-ray diffraction pattern (four reflexions: (010), (002), (011), (110)) from both sample were registered by X -ray diffractometer equipped with Co-K$\alpha$, Fe filtered X-ray tube in step-scanning mode. The crystal structure characteristics were determined by the method which is the new version of the methods presented in [1 - 3].

The pure X-ray diffraction line profiles are extracted from pairs of standard and experimental samples as solutions of corresponding convolution equations. The further computations are divided into two steps. Firstly, after the determination of pure line profiles, the prevalent crystallite shape, the mean crystallite size and the mean crystalline lattice strain are estimated from the set of full-widths-at-half-maximum of pure line profiles under assumption that all crystallites are of the same shape and size and that a lattice strain distribution is Gaussian (cf.[3]).

Secondly, taking into account the results of the first step, all characteristics of investigated material are calculated for each reflexion separately (as it was explained in [1], but firstly the volume weighted crystallite size distribution is determined). They are: the volume weighted crystallite size distribution the number- weighted crystallite size distribution, the crystalline lattice strain distribution and the averaged characteristics such as mean and mean square crystallite size, mean, mean-absolute and mean-square second order crystalline lattice strain. More details and the numerical results will be presented in the full-length paper.

1. M.A.Kojdecki: Intern. J. Appl. Electromagnetic in Materials, 2 (1991), 147- 159.
2. M.A.Kojdecki, W.Mielcarek, S.Zaborski: Proc. XVth Conf Appl. Cryst., August 1992, Cieszyn, Poland, World Scientific Publishing, Singapore, 1 993, 115- 181.
3. M.Dembowska, M.A.Kojdecki, W.Mielcarek: Proc. XVIth Conf Appl. Cryst., August 1994, Cieszyn, Poland (to appear).