Easy-Plane Alignment of Anisotropic Biofluid Crystals in a Magnetic Field: Implications for Rod Orientation

Robert J. Deissler, Robert Brown
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Abstract

We study the orientation in a uniform magnetic field of rod-like anisotropic biofluid crystals with an easy plane that makes an oblique angle with the crystal's c-axis. For a sufficiently strong field, these crystalline rods orient themselves such that the crystal's easy plane is parallel to the magnetic field, the rod's direction being defined as the direction of the crystal's c-axis. As the rod rotates about the crystal's hard axis there will therefore be a range of angles that the rod makes with the magnetic field. We detail this behavior by first providing illustrations of hemozoin crystals at various orientations. These illustrations clearly demonstrate that the orientation angle that the crystalline rod makes with respect to the magnetic field varies from about 30 deg to 150 deg. We also derive an analytical expression for the probability density function for the orientation angle. We find that the orientation angles are not uniformly distributed between the limits of 30 deg and 150 deg, but rather tend to cluster near these limits. This suggests experimental tests and addresses confusion about the rod orientation found in past literature. The relevance to other anisotropic biofluid crystals, such as those produced by gout, is also discussed.
磁场中各向异性生物流体晶体的易平面排列:磁棒定向的意义
我们研究了棒状各向异性生物流体晶体在均匀磁场中的取向,这些晶体的易平面与晶体的 c 轴成斜角。在足够强的磁场中,这些晶体棒会自行定向,使晶体的易平面与磁场平行,棒的方向被定义为晶体 c 轴的方向。因此,当棒围绕晶体的硬轴旋转时,棒与磁场会形成一定的角度范围。我们首先提供了不同方向的血安息香晶体的插图,以此来说明这种行为。这些插图清楚地表明,晶棒相对于磁场的取向角度从 30 度到 150 度不等。我们还推导出了取向角概率密度函数的分析表达式。我们发现取向角并不是均匀分布在 30 度和 150 度这两个极限之间,而是倾向于聚集在这些极限附近。我们还讨论了与其他各向异性生物流体晶体(如痛风产生的晶体)的相关性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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