What is the electrochemical principle of lithium-ion batteries?

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What is the electrochemical principle of lithium-ion batteries? 

    The positive important component of lithium-ion batteries is LiCoO2, and the negative important component is C,

    When charging, positive reaction: LiCoO2 → Li1-xCoO2 xLi xe - negative reaction: C xLi xe - → CLix

    The total reaction of the battery: LiCoO2 C → Li1-xCoO2 CLix generates the reverse reaction of the above reaction during discharge.

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