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Reversal magnetization and exchange bias effect of the nanocrystalline ­Yb1‑xPrxCrO3 solid solution L. F. Mendivil1   · J. Alvarado‑Rivera2 · E. Verdín3 · J. A. Díaz6 · J. Mata4 · A. Conde5 · A. Durán6 Received: 19 March 2020 / Accepted: 18 June 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Polycrystalline samples of Y ­ b1-xPrxCrO3 (0 ≤ x ≤ 1) were synthesized in the whole solubility range by auto-ignition high-temperature synthesis. TEM images revealed a particle size of about 20–25 nm in the solid solution for as-combustion powders. The crystal structure and the chemical state of the cations were characterized by a combination of X-ray diffraction method and X-ray photoelectron spectroscopy. It is found a complete solubility of the Pr ions and a mixed valence state in the Yb-rich ­ b2+ ions is compensating by the P ­ r4+ valence states. composition range (­ Yb1-xPrxCrO3; 0 

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