@article{SisLab1797, volume = {56}, number = {9}, title = {Critical Behavior of La0.7Ca0.3MnO3 Nanoparticles}, author = {A. Ho T. and D. Thanh T. and V. Manh T. and O. Ho T. and Duc Thang Pham and L. Phan T. and C. Yu S.}, year = {2015}, pages = {1331--1334}, journal = {Materials Transactions}, url = {https://eprints.uet.vnu.edu.vn/eprints/id/eprint/1797/}, abstract = {We used the modified Arrott plot method to analyze magnetic-field dependences of magnetization, M(H), around the ferromagneticparamagnetic (FM-PM) phase-transition temperature (TC) of three nanocrystalline La0.7Ca0.3MnO3 samples with average crystallite sizes d = 40, 23, and 16 nm. The analyses obtained the values of critical parameters to be TC ? 261 K, ? = 0.485 ? 0.005, {\pounds} = 1.051 ? 0.094 and ? = 3.1 ? 0.1 for the sample with d = 40 nm, TC ? 252 K, ? = 0.525 ? 0.010, {\pounds} = 0.893 ? 0.139 and ? = 2.7 ? 0.1 for d = 23 nm, and TC ? 236 K, ? = 0.621 ? 0.008, {\pounds} = 0.825 ? 0.007 and ? = 2.2 ? 0.2 for d = 16 nm. With these critical values, the M(H) data points around TC of the samples fall into two universal branches of a scaling function M(H, ?) = ??? ?f?(H/??? ?+{\pounds} ), with ? = (T ? TC)/TC, f+ for T {\ensuremath{>}} TC and f? for T {\ensuremath{<}} TC. The results reveal that the crystallite-size reduction of nanoparticles decreases the TC value. This is ascribed to the decrease of FM doubleexchange interactions between Mn3+ and Mn4+ ions, which is related to the ? change from 0.485 for d = 40 nm to 0.621 for d = 16 nm, corresponding to the change in FM order from the long-range type to the short-range one.} }