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Block magnetism coupled with local distortion in the iron-based spin-ladder compound BaFe<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>Se<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>3</mml:mn></mml:msub></mml:math>
Magnetism in the insulating BaFe${}_{2}$Se${}_{3}$ was examined through susceptibility, specific heat, resistivity, and neutron diffraction measurements. After formation of a short-range magnetic correlation, a long-range ordering was observed below ${T}_{\mathrm{N}}\ensuremath{\sim}255$ K. The transition is obscured by bulk properties. Magnetic moments ($\ensuremath{\parallel}a$) are arranged to form a Fe${}_{4}$ ferromagnetic unit, and …