[...] You can get a rough approximation of the state of charge of a Li-ion battery by looking at the open circuit voltage. But you won't find any reliable information about the state of charge (except fully charged and maybe completely discharged) of NiMH, alkaline, or LiFePO4 cells by looking at the voltage.
Not true. Unlike NiMh, Li-ion has very low hysteresis so there is a very close correlation between resting voltage and SOC (state of charge). Further, lead-acid typically has much higher hysteresis than Li-ion so the SOC inference is much more rough, e.g. see below from this paper. Note to HKJ: this is the scientific answer to your prior BLF question as to why NiMh SOC cannot be determined closely from resting voltage, i.e. voltage hysteresis is the primary culprit, i.e. the voltage depends nontrivially on the recent history, i.e. it depends on the particular path it took to reach the SOC, whether by charge or discharge, etc.
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