“…When begins to deflect from the ideality of 180°, the anti-symmetric exchange energy term will increase. In summary, several possible factors may account for the enhancement of magnetic properties for Co-doped BFC x O thin films: (i) an increased Fe–O–Fe spin angle results in the net macroscopic magnetization [ 25 , 36 , 37 , 38 ]; (ii) the suppression of the spin cycloid spiral modulation structures will release magnetism [ 25 , 26 , 27 , 28 , 29 , 39 ]; (iii) enhanced ferromagnetic properties are attributed to the super-exchange interaction between both d 6 and d 5 electronic configurations of Co 3+ and Fe 3+ [ 25 , 26 , 27 , 28 , 29 , 39 ]; (iv) Fe 3+ ions are randomly replaced by Co 3+ ions, resulting in the non-compensation of the spins on the surface of grains and making grain size closer to or less than the cycloidal modulation wavelength of ~62 nm [ 25 , 26 , 27 , 28 , 29 , 39 , 40 , 41 , 42 ]. Accordingly, it is an important way to improve the magnetic behavior of BFO thin films, which is beneficial for the application in subminiature devices and information storage.…”