The data represent monthly average values from the solar forcing experiment for the MPI-M Millennium Project (http://www.mpimet.mpg.de/en/wissenschaft/working-groups/millennium.html) using the comprehensive MPI-M Earth System Model ECHAM5/JSBACH/MPI-OM/HAMOCC including the biogeophysical and biogeochemical effects of an interactive carbon cycle. This experiment is similar to the mil0001 control experiment (see http://cera-www.dkrz.de/WDCC/ui/Entry.jsp?acronym=mil0001) except that it uses a time-dependent reconstruction of solar forcing. The model is run for the years 800 to 2000 under exclusive forcing by the variation of the total solar irradiance (TSI) at the outer boundary of the atmosphere. The TSI reconstruction is based on the same unpublished data used for mil0005, with the following changes: The model is run for the years 800 to 2000 under exclusive forcing by the variation of the total solar irradiance (TSI) at the outer boundary of the atmosphere. TSI reconstruction is based on unpublished data, courtesy N. Krivova (2008) - as in mil0005, that has been upscaled to match a variability (max-min) of 0.25% of the standard TSI value of 1367 W/m2 used in ECHAM5. This upscaled variability compares to outdated estimates of solar variability that have been used for climate modelling experiments in the past. Technical details: The experiment used the following models/resolutions: ECHAM5 (EH5) Version 5.4.01 at T31L19 resolution JSBACH (JSB) at T31 resolution, one soil layer, 13 vegetation types and four vegetation tiles per grid box MPI-OM/HAMOCC Version 1.3.0 at GR3.0L40 resolution The output from the experiment is archived at hpss:/dxul/ut/9/prj/im0387/m212098/cosmos-1.1.0_millennium/experiments/mil0006