“…molecule-based chain systems with alternately arranged magnetic units carrying quantum spins and of different sizes. The ability to synthesize mixed-spin-chain materials [ 9 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 ] has stimulated theoretical investigations [ 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 ]. The magnon dispersion relation of such chains splits into an optical and an acoustic mode because of the two differently sized quantum spins and per unit cell, both for antiferromagnetic coupling along the chain [ 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 35 ] as well as ferromagnetic coupling [ 18 , 28 , 29 , 32 , 33 , 34 ].…”