Calculate Activation Energy of PZT Using Arrhenius Plot

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    Activation Energy
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To calculate the activation energy (Ea) of a PZT sample using an Arrhenius plot, first plot ln(conductivity) against 1000/T and determine the slope. The relationship can be transformed to ln(ln(conductivity)) = -Ea/kT + ln(A), allowing for a new plot of ln(ln(conductivity)) versus 1/T. The slope of this new graph will yield -Ea/k, where k is Boltzmann's constant (1.38 x 10^(-23)). By rearranging the equation, Ea can be calculated. This method provides a systematic approach to determining activation energy from conductivity data.
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Homework Statement



I have to find activation energy of PZT sample using arrehnius plot , i have ln(conductivity) v/s 1000/T plot , i calculated the slope from the graph , then what will will be the next step to calculate Ea ?

formula is : ln(conductivity) = Aexp(-Ea/KT) where A is the dc value of conductivity .
 
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Assume that the formula is true (I doubt it; your formula looks weird to me), then you can transform it:
ln(conductivity) = Aexp(-Ea/KT)
=> ln( ln(conductivity) ) = -Ea/kT + lnA
Plot the graph of ln( ln(conductivity) ) vs 1/T, the slope is -Ea/k. We know the Boltzmann's constant k = 1.38 x 10^(-23), we get Ea.
 
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