Abstract
An ab-initio calculation for a carbon oxide molecule using the Green's function approach within the GW approximation was performed. We use an all-electron mixed-basis approach, where one wave function is expanded using both plane waves and atomic orbitals. This approach has an advantage to describe the wave function of a carbon and oxide, compared with a pseudopotential approach requiring higher cutoff energy. Obtaied GW quasiparticle energies are in good agreement with avairable experimental value and previous GW calculation.