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Scaling relation between renormalized discharge rate and capacity in Na
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Layered cobalt oxide, P2-Na
CoO2, is a prototypical cathode material for sodium-ion secondary battery. We systematically investigated the rate dependence of the discharge capacity (Q) in three thin films of Na
0.68CoO2 with different film thickness (d) and in-plane grain radius (r). With subtracting conventional voltage drop effect on Q, we derived an intrinsic rate dependence of Q. We found a scaling relation between the renormalized discharge rate (γ ≡ r
2/DT; D and T are the Na
diffusion constant and discharge time, respectively) and relative capacity (=Q/Q
0 is the value at a low rate limit). The observed scaling relation is interpreted in terms of the Na
+ intercalation process at the electrolyte-Na
CoO2 interface and Na
diffusion process within Na
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