We have combined infrared data with H _ { \sc { I } } , H _ { \sc { 2 } } and H _ { \sc { II } } surveys in order to spatially decompose the observed dust emission into components associated with different phases of the gas . An inversion technique is applied . For the decomposition , we use the IRAS 60 and 100 \mu m bands , the DIRBE 140 and 240 \mu m bands , as well as Archeops 850 and 2096 \mu m wavelengths . In addition , we apply the decomposition to all five WMAP bands . We obtain longitude and latitude profiles for each wavelength and for each gas component in carefully selected Galactic radius bins . We also derive emissivity coefficients for dust in atomic , molecular and ionized gas in each of the bins . The H _ { \sc { I } } emissivity appears to decrease with increasing Galactic radius indicating that dust associated with atomic gas is heated by the ambient interstellar radiation field ( ISRF ) . By contrast , we find evidence that dust mixed with molecular clouds is significantly heated by O/B stars still embedded in their progenitor clouds . By assuming a modified black-body with emissivity law \lambda ^ { -1.5 } , we also derive the radial distribution of temperature for each phase of the gas . All of the WMAP bands except W appear to be dominated by emission from something other than normal dust , most likely a mixture of thermal bremstrahlung from diffuse ionized gas , synchrotron emission and spinning dust . Furthermore , we find indications of an emissivity excess at long wavelengths ( \lambda \geq 850 \mu m ) in the outer Galaxy ( R > 8.9 kpc ) . This suggests either the existence of a very cold dust component in the outer Galaxy or a temperature dependence of the spectral emissivity index . Finally , it is shown that \sim 80 \% of the total FIR luminosity is produced by dust associated with atomic hydrogen , in agreement with earlier findings by Sodroski et al . ( 1997 ) . The work presented here has been carried out as part of the development of analysis tools for the planned European Space Agency ( ESA ) Planck mission .