Table 1: Metallicity dependence of the individual heating processes.
  Low UV field High UV field
  $\chi< 100$ $\chi \gg 100 $

high		 $\Gamma_{\rm PE}\sim Z$ $\Gamma_{\rm PE}\sim Z^{~2}$
density $\Gamma_{\rm H_2^*}\sim\frac{Z}{1+2Z}$ $\Gamma_{\rm H_2^*}\sim Z$
$(n\ga 10^6)$ $\Gamma_{\rm H_2-form}\sim{Z}$ $\Gamma_{\rm H_2-form}\sim{Z}$
  $\Lambda_{\rm rec}\sim Z^{1.5}$ $\Lambda_{\rm rec}\sim Z^{1.5}$
  $\Lambda_{\rm tot}\sim Z$ $\Lambda_{\rm tot}\sim Z$

low		 $\Gamma_{\rm PE}\sim Z$ $\Gamma_{\rm PE}\sim Z...Z^{1.5}$
density $\Gamma_{\rm H_2^*}\sim Z$ $\Gamma_{\rm H_2^*}\sim Z$
$(n\la 10^3)$ $\Gamma_{\rm H_2-form}\sim{Z}$ $\Gamma_{\rm H_2-form}\sim{Z}$
  $\Lambda_{\rm rec}\sim Z$ $\Lambda_{\rm rec}\sim Z...Z^{1.5}$
  $\Lambda_{\rm tot}\sim Z$ $\Lambda_{\rm tot}\sim Z$


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