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Spinel chromites ACr$_2$O$_4$ with inherent magnetic geometrical frustrationusually exhibit a noncollinear ferrimagnetic ground state when A are magneticions, with possibly crystallite-size dependent intriguing magnetic features.Here, we report single-domain magnetic properties of ACr$_2$O$_4$ (A = Ni, Co,and Mn) nanocrystals, with an average crystallite size of 18, 15 and 10 nm,exhibiting an optical energy gap of 2.87, 3.05 and 2.9 eV, respectively. Thetemperature dependence of magnetization indicates the main bulk magnetictransitions with a commonly coexisting spin-glass-like state and finite-sizeeffects on the noncolinear ferrimagnetic transitions. An anomaly observed at Ts= 15, 24 and 10 K is attributed to the bulk magnetic transition to a cantedantiferromagnetic state in NiCr$_2$O$_4$ and incommensurate spiral orders inCoCr$_2$O$_4$ and MnCr$_2$O$_4$ NCs, respectively. A further bulk magnetictransition to a commensurate spiral order is observed for CoCr$_2$O$_4$ NCs ata lock-in temperature Tl = 5 K much lower than that reported using bulksamples, while it is completely suppressed in the MnCr$_2$O$_4$ NCs.Finite-size effects and single-domain magnetic behaviors indicated by anomaloustemperature-dependences of the coercive field and the hysteresis-loopsquareness, mainly driven by a magnetocrystalline anisotropy, are discussed incomparison to results reported using bulk counterparts.

Structural, Optical and Single-domain Magnetic Features of the Noncollinear Ferrimagnetic Nano-spinel Chromites ACr$_2$O$_4$ (A = Ni, Co, and Mn)