Ferroaxial transitions in glaserite-type Na
Ba
(PO
)
(
= Mg, Mn, Co, and Ni)
Kajita, Yoichi*; Nagai, Takayuki*; Yamagishi, Shigetada*; Kimura, Kenta*; Hagihara, Masato
; Kimura, Tsuyoshi*
Ferroaxial transitions of Na
Ba
(PO
)
(
= Mg, Mn, Co, and Ni) with the glaserite structure, featuring rotational distortions of PO
tetrahedra, are investigated. Neutron powder diffraction (NPD) measurements on polycrystalline samples were carried out in the temperature range from room temperature to 800 K. Structure analyses on the NPD data revealed that all of the compounds studied here have a ferroaxial structure (space group:
)at room temperature and undergo a ferroaxial transition into a non-ferroaxial phase (space group:

1) upon heating. Structural parameters change continuously at the transition temperature, which suggests that the ferroaxial transition of Na
Ba
(PO
)
systems is of the second order. Furthermore, to examine the structural stability, ab initio phonon calculations were carried out for Na
BaMg(PO
)
. The calculated result shows that the rotational phonon mode instability inherent in the non-ferroaxial

1 phase leads to the
phases as a ground state, which well explains the experimental result. This study revealed that Na
Ba
(PO
)
systems with the glaserite structure are a class of ferroaxial compounds showing a second-order pure ferroaxial transition.