Interplay of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo>=</mml:mo> <mml:mn>5</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> spin-tetramer cluster magnetism and magnetodielec

Cluster magnetism has emerged as a fertile platform for exploring unconventional magnetic and dielectric phenomena in complex oxides. In the polar compound Ba${}_{6}$Nd${}_{2}$Fe${}_{4}$O${}_{15}$, a detailed examination of temperature- and field-dependent magnetic, thermal, and dielectric properties reveals a distinct field-induced transition from an antiferromagnetic to a ferrimagnetic phase, accompanied by pronounced magnetodielectric coupling. The study establishes a direct connection between spin tetramer interactions and lattice polarization, demonstrating how localized spin clusters mediate strong cross-correlations between electric and magnetic orders. These results deepen the understanding of cluster-based magnetodielectric phenomena and their microscopic origins in polar magnetic oxides.