Dellicour Aline, Vertruyen Benedicte, Rikel Mark O, Lutterotti Luca, Pautrat Alain, Ouladdiaf Bachir, Chateigner Daniel
GREENMAT, CESAM Research Unit, Institute of Chemistry, University of Liege, Sart-Tilman, 4000 Liege, Belgium.
Normandie Université, CRISMAT-ENSICAEN-UCN UMR 6508 CNRS, 6 Bd. Maréchal Juin, 14050 Caen, France.
Materials (Basel). 2017 May 15;10(5):534. doi: 10.3390/ma10050534.
We describe how the contribution of crystallographic texture to the anisotropy of the resistivity of polycrystalline samples can be estimated by averaging over crystallographic orientations through a geometric mean approach. The calculation takes into account the orientation distribution refined from neutron diffraction data and literature values for the single crystal resistivity tensor. The example discussed here is a melt-cast processed Bi₂Sr₂CaCu₂O (Bi-2212) polycrystalline tube in which the main texture component is a <010> fiber texture with relatively low texture strength. Experimentally-measured resistivities along the longitudinal, radial, and tangential directions of the Bi-2212 tube were compared to calculated values and found to be of the same order of magnitude. Calculations for this example and additional simulations for various texture strengths and single crystal resistivity anisotropies confirm that in the case of highly anisotropic phases such as Bi-2212, even low texture strengths have a significant effect on the anisotropy of the resistivity in polycrystalline samples.
我们描述了如何通过几何平均方法对晶体取向进行平均，来估计晶体织构对多晶样品电阻率各向异性的贡献。该计算考虑了从中子衍射数据细化得到的取向分布以及单晶电阻率张量的文献值。这里讨论的例子是一个熔铸加工的Bi₂Sr₂CaCu₂O（Bi - 2212）多晶管，其主要织构成分为具有相对较低织构强度的<010>纤维织构。将沿Bi - 2212管纵向、径向和切向实验测量的电阻率与计算值进行比较，发现它们处于同一数量级。针对此例子的计算以及对各种织构强度和单晶电阻率各向异性的额外模拟证实，在诸如Bi - 2212这样的高度各向异性相的情况下，即使是低织构强度也会对多晶样品的电阻率各向异性产生显著影响。
