LAUSR

The X-ray and Fourier transform infrared (FTIR) spectroscopy are used to studying the structural and elastic properties of Ni-Zn ferrite doped lithium according to the chemical formula Ni1−xZnx−2yLiyFe2+yO4, where (0 ≤ x ≤ 0.5) and (y = 0, 0.01, 0.02, 0.03, and 0.04) which preparation by sol–gel method. Lattice constant (a), crystallite size, and cation distribution are deduced from XRD. FTIR measurement exhibits that two absorption bands (ν1 and ν2) around 400–800 cm−1 that confirm the existence of tetrahedral and octahedral sites of ferrite. Force constant, elastic wave velocity, bulk modulus, and young’s modulus also reported. The force constant for A-site is larger than for B-site which vary between (KA = 131.6–145.5 N/m) and (KB = 97.8–102.3 N/m) where can be found the values of elastic constant for nanoparticle is agreement with those of bulk material.