Within the Debye-Huckel model, and within the first Born approximation, we consider non-spherical screening of the electron-ion interaction and screened bound-electron wavefunctions to obtain collision strengths for the inelastic scattering of electrons by one-electron ions in dense plasmas. It is found that whether or not we use unscreened bound-electron wavefunctions is less influential than the fact of having spherical screening or not, with the non-sphericity leading to an important increase of the collision strengths with respect to earlier calculations which considered spherical screening.

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