I want to calculate of capacitance of electrode by CV, following by formula I should calculate the integrated area in a CV plot as I, but I use the CHI program for getting CV and It is not able to calculate the area, any one can help me?
I suggest you export your data as ASCII format and than work with the file in a software for mathematical processing such Origin, MathLab etc. Which program is CHI? Can you give more details? Good luck!
Alternatively, you may take peak current divide it by scan rate and active mass, you will get specific capacitance. In my opinion, specific capacitance obtained from Charge-discharge profile is more authentic.
thanks alot for your kind reply. I used the Origin parogram , and I draw plot and got the area. in fig(1) I draw two segments of CV as separate curves and used multi curve. in fig(2) I draw it by symbol /scatter .which one is correct? i really appreciate your help.
The general equation, capacitance = charge/voltage, is only correct if the material or electrode or device behaves like a capacitor, for example, the cyclic voltammogram (CV) is rectangular in shape.
Your other equation (copied below) for calculating capacitance is incorrect.
capacitance under the peak =total charge under a peak / sweep rate
(1) A peak shaped CV should not be used for calculation of the capacitance of the material or electrode.
(2) Even if it is for calculation of the differential capacitance, your equation is still incorrect. It should be
differential capacitance = current / sweep rate
This equation can be used for calculation of the electrode capacitance if the CV is rectangular.
since 1973 i use the term triangular voltammetry not the term CV - please see my papers in J Appl Electrochem -- 1983-1984-1985
CV implies the input signal crosses zero - sinusoidal perturbation crossing zero axis we call AC
however people use the term
coming back to the subject of capacitance i needed the charge under the peaks to calculate the passive film thickness - my papers inJ Appl Electro Chem 1980
on wards-
i used Q values for porous iron electrodes - see my papers with M.Jayalakshmi - papers appeared in J Power sources 1990's
Double layer capacitors and pseudo-capacitors are both capacitors, and their performances must follow the equations for capacitors, most importantly the one for calculation of energy:
Energy = (capacitance*voltage2)/2
This equation can be derived from integration of a linear (or triangular) potential-time plot recorded during constant current discharging (and charging). This requirement is equivalent for a rectangular cyclic voltammogram.
If you use the "charge/voltage" ratio measured from a peak shaped CV as the capacitance, and bring it into the above equation for energy calculation, you will likely overestimate the energy for discharging, and underestimate it for charging, if the charge transfer reaction is not ideally reversible.
Many charge transfer reactions can result in rectangular CVs in a limited potential range, giving rise to the concept of pseudo-capacitance.
In the context of supercapacitors, whether leaky or ideal, pseudo-capacitance results from charge transfer reactions in the material attached to the electrode with the charge flow rate (current) being unaffected by a linear potential variation against time. My observation is that pseudo-capacitance is often shown by redox active semiconductor materials (conducting polymers and transition metal oxides) in which the valance electrons are delocalised in the conduction band, which effectively makes the energy change infinitely small for each electron transferred to or from the conduction band.
In your term, I can say capacitors are all non-ideal, but not necessarily pseudo according to the explanation above.
Semiconductor / electrolyte interface is different. Semiconductor stores charge
their electro chemistry is different.No interface has ideal capacitance and we use the term pseudo to distinguish between ordinary capacitance and the interfaces those behave like capacitance.
We do both in most of our research and find the results (capacitance) are often comparable, as expected (although I do not remember any case in which the two measurements produced very different capacitance values). However, apart from capacitance values, CVs and GCDs can provide different but complementary information. For example, CVs are helpful in identification of the reversibility of an electrode process in a particular potential window, whilst GCD allows the derivation of the energy efficiency of the charging/discharging processes under constant current.
For example in CV the specific capacitance value is 106 F/g for 5 mV/s and in GCD it is 438 F/g for 2 mA/cm2 this kind of result is correct. can you give some suggestion of this professor.
I think this may be helpful for you. There's a paper by M. D. Stoller and R. S. Ruoff; 2010 ( DOI: 10.1039/c0ee00074d ) that discusses the various ways of calculating specific capacitance. They specifically compare Csp from CVs and GCDs and try to explain the difference. It might be useful.
Thanks for sharing the CVs and GCDs. Obviously, your GCD at 2 mA/cm^2 has a much longer time for charging than that for discharging. In other words, the GCD plot at 2 mA/cm^2 shows a great irreversibility, and hence is not suitable for capacitance calculation. If you still wish to have an approximate comparison, you should use the discharging branch of the GCD for calculation (which is still an overestimate because the plot is inward curved from a straight line.)
After looking at the CV scan, i think electrode resistance is more dominant, as indicated by the inclined charge/discharge curves. Also I think you should consider the IR correction to extract the current response from these CV curves. At the lowest current density, the increase in diffusion layer thickness can also limit the capacitive response due to the occurrence of faradaic but non-capacitive reactions as described by Dr. Chen.
Anyone please give me the suggestion of the calculation.How to calculate double layer capacitance from cyclic voltammetry. But i did calculate Cdl in faradaic region. It is right or wrong. Here i attach image of cyclic voltametry different scan rate and Correspondig Cdl value. Please correct my doubt.