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Abstract Observations of local star-forming galaxies (SFGs) show a tight correlation between their singly ionized carbon line luminosity ($$L_{\rm [C\, \small {II}]}$$) and star formation rate (SFR), suggesting that $$L_{\rm [C\, \small {II}]}$$ may be a useful SFR tracer for galaxies. Some other galaxy populations, however, are found to have lower $$L_{\rm [C\, \small {II}]}{}/{}\rm SFR$$ than local SFGs, including the infrared-luminous, starburst galaxies at low and high redshifts as well as some moderately star-forming galaxies at the epoch of re-ionization (EoR). The origins of this ‘$$\rm [C\, \small {II}]$$ deficit’ is unclear. In this work, we study the $$L_{\rm [C\, \small {II}]}$$-SFR relation of galaxies using a sample of z = 0 − 8 galaxies with M* ≈ 107 − 5 × 1011 M⊙ extracted from cosmological volume and zoom-in simulations from the Feedback in Realistic Environments (fire) project. We find a simple analytic expression for $$L_{\rm [C\, \small {II}]}$$/SFR of galaxies in terms of the following parameters: mass fraction of $$\rm [C\, \small {II}]$$-emitting gas ($$f_{\rm [C\, \small {II}]}$$), gas metallicity (Zgas), gas density (ngas) and gas depletion time ($$t_{\rm dep}{}={}M_{\rm gas}{}/{}\rm SFR$$). We find two distinct physical regimes: $$\rm H_2$$-rich galaxies where tdep is the main driver of the $$\rm [C\, \small {II}]$$ deficit and $$\rm H_2$$-poor galaxies where Zgas is the main driver. The observed $$\rm [C\, \small {II}]$$ deficit of IR-luminous galaxies and early EoR galaxies, corresponding to the two different regimes, is due to short gas depletion time and low gas metallicity, respectively. Our result indicates that the $$\rm [C\, \small {II}]$$ deficit is a common phenomenon of galaxies, and caution needs to be taken when applying a constant $$L_{\rm [C\, \small {II}]}$$-to-SFR conversion factor derived from local SFGs to estimate cosmic SFR density at high redshifts and interpret data from upcoming $$\rm [C\, \small {II}]$$ line intensity mapping experiments.