Hexagonal-to-orthorhombic structural transitions in RAl3C3 have been studied by X-ray diffraction for R = Yb, Tm, Er, Dy, and Lu. We report how orthorhombic domains are controlled by adjusting external magnetic fields. It is shown that orthorhombic domains in RAl3C3 can be aligned by the field when the R ion is magnetic. It is also shown that a single-domain state can be switched to another single-domain state by the field even in paramagnetic states with small induced moments. For R = Lu, however, it was not possible to change the multidomain state by a field of up to 70 kOe. We discuss that domain selection and switching are caused by magnetic anisotropies in the orthorhombic phase of RAl3C3. We also propose an idea to explain the field-induced antiferromagnetism revealed by Khalyavin et al.
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