Crystallographic and magnetic preferred orientation of hematite in banded iron ores
Introduction
The relationship between the c-axis fabric of hematite ores measured by means of optical and X-ray-methods and their magnetic fabric measured by means of a torque magnetometer was investigated and described by Hrouda et al. (1985). Since then the preferred orientation of a large series of different hematite ores from several localities and different metamorphic terrains of the Quadrilátero Ferrı́fero, Minas Gerais (Dorr, 1969) (Fig. 1) was measured by means of neutron diffraction (Brokmeier, 1989; Will et al., 1989) and the magnetic fabric by means of the Kappabridge KLY-2 of the same specimens. Three typical examples are presented in Fig. 2, which are interpreted as c-axis preferred orientations with a rotational degree of freedom of the a-axes around the c-axis (Siemes and Hennig-Michaeli, 1985; Will et al. 1990; Wenk, 1998). The minimum susceptibility is located in the center of the c-axis maximum, the maximum susceptibility in the center of the (110)-maximum or in the center of (100)-maximum (not shown in Fig. 2). The relationship between the crystallographic preferred orientation and the microfabric is described in Rosière et al., 1998, Rosière et al., 1999 and Quade et al. (2000). The abundance of recently acquired data initiated this new analysis of the relationship between the measured anisotrophy of the magnetic susceptibility (AMS)-data, the neutron measured pole figures, and AMS-data calculated from the (003)-pole figures.
Section snippets
Calculation and presentation of AMS-data
The AMS of hematite single crystals is characterized by a very small susceptibility Kc parallel to the c-axis and a much larger and isotropic susceptibility Kab in the basal plane resulting in a ratio of Pc=Kab/Kc>100 (Hrouda, 1980). In this case the anisotropy is controlled only by the intensity of the c-axis orientation; for example, at a constant c-axis concentration, Pc=100, Pc=1000, and Pc=10 000 give rise to virtually the same values of ore anisotropy degree. In accordance with Hrouda et
Numerical simulation of the c-axis distribution
In order to get a deeper insight into the relationship between the preferred orientation of hematite and its magnetic fabric a wide range of simulated c-axis distributions was evaluated. These mathematical c-axis pole figures were generated by a computer code featuring the versatile Bingham (1974) and Bingham and Mardia (1978) distribution, respectively. Both distributions are controlled by location and shape parameters (for details see Appendix A The Bingham distribution (, Appendix B The
Numerical modeling of c-axis pole figures
The AMS-diagram of Fig. 9(a) shows the principal susceptibilities measured for 44 naturally deformed samples from 10 different mines at the Quadrilátero Ferrı́fero, Minas Gerais, Brazil, located at different tectonic settings (Rosière and Chemale Jr., 1991), while Fig. 9(b) depicts the values calculated from the basal pole figures of the same samples. Obviously there are differences between them. Three sample points are numbered, and will be used to model appropriate Bingham distributions. The
Conclusions
c-Axis pole figures of hematite ores reveal approximately circular, to elliptical, to great circle configurations. They are favorably modeled by means of the versatile Bingham distribution.
A wide variety of configurations has been modeled by varying the parameters of the Bingham distribution in order to visualize the relationship between c-axis distributions of hematite ores and calculated susceptibilities.
They reveal that quite different c-axis patterns of hematite ores may have the same
Acknowledgements
Thanks are due to H.-G. Brokmeier and E.M. Jansen for the neutron measurements of the hematite textures at the Forschungszentrum Geesthacht and W. Schäfer and E. Jansen at the Forschungszentrum Jülich. Financial support by the PROBRAL (CAPES/DAAD)- and FINEP/PADCT project ‘Texture, physical anisotropy and metallurgy of iron ores of the Iron Quadrangle (Minas Gerais, Brazil)’ is gratefully acknowledged. Financial support by the DFG permitted the presentation of preliminary versions of this
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