“…For the Zr-doped LNCM electrode, the reversible capacity of the fifth cycle at each current density was 184.5, 176.3, 168.2,1 60.7, and1 52.9 mAh g À1 at 0.1, 0.2, 0.5, 1.0, and 2.0 C, respectively.U pon returning the C-rate to 0.1 C, the reversible capacityr ecovered to 174.6 mAh g À1 ,c orresponded to 95 %o f the initial capacity.T he superior rate capability can be attribut- The fast electrochemical kinetics of the Zr-doped LNCM electrode were further supported by the Nyquistp lots obtained using EIS, in which the semicircle of high to intermediate frequencies represents the charge-transfer resistance (R ct ), whereas the straight line at low frequencies corresponds to Li-ion diffusion within the bulk electrode ( Figure 3). [31][32][33] The Zr-doped LNCM electrode displayed similar semicircles (similar R ct values) and as teeper diffusion-based line both before and after 100 cycles at ar ate of 0.1C compared with the undoped LNCM electrode, indicating similar electron transfer and faster Li-ion diffusioni nt he Zr-doped LNCM electrode. [45] The Li-ion diffusion coefficient was calculated using the slope of the line in the low frequency region, [31-33, 40, 41] whichw as determined to be 2.65 10 À10 and 5.01 10 À10 cm 2 s À1 for the undoped and Zr-doped LNCM electrodes, respectively.T herefore, Zr doping apparently improved the Li-ion diffusion in the bulk and enhanced the rate capability.…”