Orientation Fluctuation of Microcrystals under Three-Dimensionally Constraining Dynamic Magnetic Field

The orientation fluctuation of a reciprocal lattice vector of a biaxial microcrystal suspended in a liquid medium under a dynamic magnetic field is investigated theoretically to evaluate the broadening of the X-ray diffraction spots from a suspension of the microcrystals. The dynamic magnetic fields considered are those that confine the three magnetic susceptibility axes to the laboratory coordinates. The fluctuation is expressed in terms of the magnetic anisotropy of the biaxial microcrystal and the type of applied dynamic magnetic field. We find that for most reciprocal lattice vectors, the fluctuation is anisotropic, and that the principal axes of fluctuation are inclined with respect to the longitude and latitude of the reciprocal lattice sphere.