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Incommensurate helimagnetic structure of Ba(Fe$$_{1-x}$$Sc$$_{x}$$)$$_{12}$$O$$_{19}$$ determined by single-crystal neutron diffraction

Tanaka, Seiya*; Kiyanagi, Ryoji  ; Ishikawa, Yoshihisa*; Amako, Yasushi*; Iiyama, Taku*; Futamura, Ryusuke*; Maruyama, Kenichi*; Utsumi, Shigenori*

Sc-substituted hexagonal ferrite Ba(Fe$$_{1-x}$$Sc$$_{x}$$)$$_{12}$$O$$_{19}$$ has an incommensurate helimagnetic structure. However, the incommensurate helimagnetic structure has not been sufficiently determined, and the mechanism via which the helimagnetism develops has not been studied. Time-of-flight single-crystal neutron diffraction measurements were performed on single-crystal samples of Ba(Fe$$_{1-x}$$Sc$$_{x}$$)$$_{12}$$O$$_{19}$$ with Sc concentrations of x = 0, 0.128, 0.153, and 0.193. The magnetic structure analyses revealed that the helimagnetic structure of Ba(Fe$$_{1-x}$$Sc$$_{x}$$)$$_{12}$$O$$_{19}$$ is a cone type whose base is in the ab plane and height is in the c-axis direction. The magnetic moments of Fe2(4$$e$$), Fe4(4$$f_{2}$$), and Fe5(12$$k$$) are aligned with distinct angles, leading to the helimagnetic structure of Ba(Fe$$_{1-x}$$Sc$$_{x}$$)$$_{12}$$O$$_{19}$$, and can be explained by assuming that there is an antiferromagnetic superexchange interaction $$J_{5}$$ between Fe2(4$$e$$) and Fe5(12$$k$$) that is negligible in the x = 0 crystal. The shorter bond distance of Fe2-O1 in Sc-rich crystals revealed by the crystal structure analyses enhances the superexchange interaction $$J_{5}$$. The relatively strong $$J_{5}$$ leads to competition among the three superexchange interactions, $$J_{3}$$, $$J_{4}$$, and $$J_{5}$$, resulting in the development of the helimagnetic structure. These findings facilitate the understanding of the essentials of the basic magnetic material BaFe$$_{12}$$O$$_{19}$$.

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Category:Materials Science, Multidisciplinary

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