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    Biaxial zero thermal expansion in zinc tetracyanoborate

    Qilong Gao1,*, Shibo Zhao1, Sabine Lorenzen2, Kaiyue Zhao1, Qiang Sun1,†, Maik Finze2,‡, Guanqun Cai3, Shogo Kawaguchi4, ErJun Liang1 et al.

    Jun Chen5,6

    • *Contact author: qilonggao@zzu.edu.cn
    • †Contact author: qsun@zzu.edu.cn
    • ‡Contact author: maik.finze@uni-wuerzburg.de

    Phys. Rev. B 113, 064107 – Published 11 February, 2026

    DOI: https://doi.org/10.1103/3sz4-rm67

    Abstract

    Understanding the relationship between structure and thermal expansion is of great fundamental scientific significance for revealing the nature of thermal expansion and achieving its precise control. This work reports a unique layered open-framework structure with a terminal CN group in Zn[B(CN)4]2, which displays zero thermal expansion (ZTE) in plane over a wide temperature range (αa=−0.66×10−6K−1, 100–700 K). A joint study of variable-temperature synchrotron x-ray diffraction, Raman spectroscopy, and first-principles calculations has been performed to investigate the structure, thermal expansion, and mechanism. Our study reveals that the in-plane ZTE originates from two mechanisms: (i) the in-plane tension effect, which gives rise to phonon soft modes with negative Grüneisen parameters, primarily involving the coupled rotations of BC4 tetrahedra and ZnN6 octahedra; and (ii) the elastic effect, where the elastic constants act as a coupling coefficient that enhances the in-plane negative thermal expansion (NTE). This work reveals the origin mechanism of NTE in layered borate systems, emphasizing the synergistic effect between phonon contributions and elastic effects, providing insights into the physical nature of thermal expansion.

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    See Also

    Planar negative thermal expansion in the layered hybrid network material ZnB2(CN)8

    Junbiao Guo, Guanqun Cai, Kaiyue Zhao, Ben Durham, Keith Refson, and Martin T Dove
    Phys. Rev. B 113, 064108 (2026)

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