The direct radiative forcing (RF) from halocarbons is reasonably well characterised. However, the forcing due to polyatomic halogen reservoir and halocarbon breakdown products has not previously been quantified and it is important to assess the size of this contribution. Four gases, ClONO₂, COCl₂, COF₂ and COClF, are considered; their stratospheric abundances mostly originate from the breakdown of chlorofluorocarbons, hydrochlorofluorocarbons and CCl₄. They have significant mid-infrared absorption bands and peak stratospheric mole fractions ranging from around 20 ppt to over 1 ppb, which are large compared to typical abundances of many emitted halocarbons. Using satellite observations of stratospheric abundance, observed infrared spectra, and a narrow-band radiation code, the stratosphere-adjusted RF (SARF) is computed. The global-annual mean SARF is estimated to be ≈7 mW m^-2 based on measured abundances in the period 2004-2019, with ClONO₂ contributing about 50%. Only 8 individual halocarbon gases cause a significantly greater forcing. This forcing is then approximately attributed to their source gases; for most, it modestly enhances (by 1-3%) both their direct RF and their global warming potentials. The most significant enhancement (5-15%) is to CCl₄, the principal source of stratospheric COCl₂ and contributor to ClONO₂ abundances; disagreement in recent satellite-based COCl₂ retrievals is a significant source of uncertainty. These additional gases enhance the available best estimate of the total forcing due to halocarbon source gases (including e.g. stratospheric ozone depletion) by about 3%; notably, this contribution is the only identified indirect mechanism that increases, rather than decreases, the total halocarbon forcing.