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Approximately single-domain-sized 9-, 13-, and 16-nm CoFe 2 O 4  nanoparticles are synthesized using the thermal decomposition of a metal-organic salt. By means of dilution and reduction, the concentration, moment, and anisotropy of nanoparticles are changed and their influence on the magnetic properties is investigated. The relation of  M   r / M   s  ∝ 1/lg H   dip  is observed, where  M   r / M   s  is the remanence ratio and  H   dip  is the maximum dipolar field. Especially, such relation is more accurate for the nanoparticle systems with higher concentration and higher moment, i.e., larger  H   dip . The deviation from  M   r / M   s  ∝ 1/lg H   dip  appearing at low temperatures can be attributed to the effects of surface spins for the single-phase CoFe 2 O 4  nanoparticles and to the pinning effect of CoFe 2 O 4  on CoFe 2  for the slightly reduced nanoparticles.Graphical Abstract   Approximately single-domain-sized 9-, 13-, and 16-nm CoFe 2 O 4  nanoparticles were synthesized and then the concentration, moment, and anisotropy of these NPs were changed. The correlation of  M   r / M   s  ∝ 1/lg H   dip  was observed, independent of the size, concentration, moment, and anisotropy, and especially, such correlation is more accurate for the nanoparticle systems with higher concentration or moment, i.e., stronger dipolar interaction, which has not been reported before as far as we know.

The remanence ratio in CoFe2O4 nanoparticles with approximate single-domain sizes