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1. Faraday constant F represents the charge carried per mole of electrons, in C/mol, F=NA * e=96500C/mol
Avogadro number NA=6.02 x 1023 Elemental charge e=1.602176 x 10-19C
When 1mol Li+is completely deintercaled in a lithium-ion battery, the charge of 1mol electrons transferred, i.e. 1F=96500C/mol (Faraday constant), is converted into units:
1mAh=1 x 10-3A x 3600s=3.6C1Ah=1A x 3600s=3600C
So 96500C=96500/3600Ah=26.806Ah ≈ 26.8Ah2. Theoretical capacity formula for lithium batteries: C0=26.8nm/M
C0 is the theoretical capacity, in mAh/gn, which is the number of gains and losses in the flow reaction. m is the mass of the complete reaction of the active substance, and M is the molar mass of the active substance
Example 1: Lithium cobalt oxide LiCoO2, with a molar mass of 97.8, has the following reaction formula: LiCoO2=Li++CoO2+e, with a gain or loss of 1 electron, that is, a complete reaction of 1 mol of LiCoO2 will transfer 1 mol of electron charge, so a complete reaction of 1 g of LiCoO2 will transfer 1/97.8 mol of electron charge. Its theoretical capacity C0=26.8nm/M=26.8 × 1 × 1/97.8=0.2738Ah/g=273.8mAh/g Example 2 carbon has a molar mass of 12, and the reaction formula is as follows: 6C+Li++e -=LiC6 has 1/6 electron gains and losses, which means that a complete reaction at 1molC will transfer 1/6mol of electron charge, so a complete reaction at 1gC will transfer 1/12mol of electron charge. Its theoretical capacity C0=26.8nm/M=26.8 x (1/6) x 1/12=0.372Ah/g=372mAh/g.
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