“…Most solids expand slightly as temperature increases (0 < α < 20 × 10 −6 K −1 , α for axial thermal expansion coefficients, α = ∂ l /∂ T × 1/ l ), which is known as thermal expansion or positive thermal expansion (PTE). Though the structure changes of PTE materials are very small, thermal expansion can often affect other material properties, for example, lead to the loss of precision and function for optical instruments, microelectronic devices so on (Evans, 1999 ; Liu et al, 2018 ). In contrast, materials with abnormal thermal expansion behaviors, such as zero thermal expansion (ZTE, |α| ≈ 0 × 10 −6 K −1 ), negative thermal expansion (NTE, α < 0 × 10 −6 K −1 ), or very large thermal expansion (|α| > 100 × 10 −6 K −1 ), are scarce (Mary et al, 1996 ; Chapman et al, 2005 ; Goodwin et al, 2008 ; Das et al, 2010 ; Zhou et al, 2015 ).…”