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and B= 1/2 For t >50/B2, Eq.(4) approximates, within I%,to -2 RTit’” RTi +- 7~ 2n2F2C8D1/ nF Hence, a plot of q/tl” should give a straight line of slope from which a value for C8D1/’ can be calculated, = 0, then and the intercept on the 7 axis, together with the value for D(GO,)’calculated above, will give a value for io from Eq,(7) An alternative method for calculating io is the use of a special value of t1l2 given by rl= When tl./ ’ d2 tC - --- “‘dl d ? 4i d(t’) The corresponding overpotential, 7C,can be found from the curve, and a value for io calculated from the equation RTx i %=-- nF - io Both of these methods depend on the determination of the differential double layer capaciry which can be ascertained by the initial slope of the voltage-time trace at sufficiently short times. One can show (Ref. 4) that for the error of Cdl to be less than m%8the maximum time, tm’ to which the measurement of the slope can be ex- tended is tm = 00 nFb Thus, for example, if a double layer capaci-PDF Image | NASA ALUMINUM CHLORINE BATTERY
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