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A detailed independent derivation of the hydrogen weakly nonideal plasma equation of state (EOS) is presented. In our computations relativistic corrections, degeneracy of electrons, radiation pressure in the plasma, Coulomb interaction in the Debye-Hückel approximation together with diffraction and exchange corrections and the contribution of bound and scattering states (SS) are taken into account. In contrast to the Planck-Larkin partition function, a correct separate account of bound and SSdoi:10.1088/0963-0252/15/3/016 fatcat:l7yj73fkdbfhljaprjlb6uexbe