There has been growing interest in materials that exhibit negative thermal expansion properties [1]. The largest magnitudes described so far involve metal cyanide complexes such as Prussian Blue analogues in which metal atoms at the corners of cubes are linked by cyanide groups along the edges [2–4], and the interpenetrating tetrahedral (diamond-like) lattices of zinc, and cadmium cyanides [5–10]. Although the same atomic sequence M–C–N–M occurs in the cyanides of copper, silver, and gold, these compounds do not form a three-dimensional lattice but consist of infinite chains in the solid state [11–14]. Furthermore, the structure of copper cyanide is polymorphic with a low-temperature (LT-CuCN) form that transforms irreversibly to a second form (high-temperature; HT-CuCN) upon heating above 550 K. In LT-CuCN, the infinite chains are not linear and show a wave-like structure, whereas HT-CuCN is linear. The chain structures are disordered with respect to the carbon and nitrogen atom positions [15]. The negative thermal expansion arises from thermally activated transverse vibrations of the M–C–N–M groups, which increase in amplitude with increasing temperature leading to a decrease in the M...M distance. In chain systems, the transverse cyanide vibrational modes would shorten the unit cell in one direction and lengthen it in another, causing an anisotropic thermal expansion. In the case of HT-CuCN, the X-ray diffraction measurements of the trigonal unit cell dimensions as a function of temperature showed that a normal positive increase occurs along the a-axis and there is a small decrease along the c-axis of the unit cell [12]. A property of particular interest for negative thermal expansion materials is the mode Gruneisen parameter, ci, which represents the volume dependence of the mode frequency and can be written as B0d(ln(mi))/dP, where B0 is the bulk modulus. A negative value of a mode Gruneisen parameter is shown by a negative value of the pressure dependence of the vibrational frequency and this provides a method of determining which vibrational modes contribute to the negative thermal expansion.
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