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We construct C2 representations of the background quantities thatcharacterize the interior of the Sun and its atmosphere starting from thedata-points of the standard solar model S. This model is further extendedconsidering an isothermal atmosphere, that we refer to as model AtmoI. It isnot trivial to build the C2 representations of the parameters from a discreteset of values, in particular in the transition region between the end of modelS and the atmosphere. This technical work is needed as a crucial building blockto study theoretically and numerically the propagation of waves in the Sun,using the equations of solar oscillations (also referred to as Galbrun'sequation in aeroacoustics). The constructed models are available athttp://phaidra.univie.ac.at/o:1097638.

C2 representations of the solar background coefficients for the model S-AtmoI