Rare-earth ions as a key influencer on the magnetic, spectroscopic and elastic properties of ErγZn0.2Co0.8Fe2−γO4 nanoparticles

Enhancement of Ni–Zn ferrite nanoparticles parameters via cerium element for optoelectronic and energy applications

“…In fact, it can be seen that the lattice parameter decreases from 8.385 to 8.353 nm with increasing Ce 3+ ions content. This result is consistent with previous results [14,50,53]. The decrease in the lattice parameter with increasing cerium content (x) may be attributed to the deformation of the unit cell, thus a decrease in the alignment level of the lattice edges as a result of the addition of large cerium ions.…”

“…These vibrational bands V A and V B are represented as the stretches between oxygen anions and the metallic cations at the tetrahedral (A) and octahedral (B) sites, respectively. The variation in the FTIR spectra bands positions of the spinel ferrite depends on some factors such as the amount and type of dopants, the size and molecular weight of the compound, and the preparation method [53]. The shift to lower values of the vibrational bands V A and V B are noticed with Ce 3+ ions content (x) in the Ni-Zn spinel lattice.…”

Evaluation of spectral, optoelectrical, dielectric, magnetic, and morphological properties of RE3+ (La3+, and Ce3+) and Co2+ co-doped Zn0.75Cu0.25Fe2O4 ferrites

“…The average force constant (𝑘𝑘 𝑎𝑎𝑎𝑎 ) was determined via 𝑘𝑘 𝑎𝑎𝑎𝑎 = (𝑘𝑘 𝑇𝑇 + 𝑘𝑘 𝑂𝑂 )/2 and the stiffness constants were calculated using the following relations C11 = 𝑘𝑘 𝑎𝑎𝑎𝑎 /a, where "a" is a lattice constant and C12 = σC11/(1 -σ) [40], where "σ" is a Poisson ratio [σ = 0.324(1 -1.04P)], where "P" is a porosity fraction [40]. The variation in the average force constant (𝑘𝑘 𝑎𝑎𝑎𝑎 ), stiffness constants (C11 and C12) and Poisson ratio (σ) are reported in Table 5.…”