In the present work, the problem "hydrogen storage in metals" is treated with the aid of the so-called New Tamm-Dancoff (NTD) procedure. We employ this method in lowest approximation for the evaluation of the electronic energy difference eigenvalue between a metal crystal with and without hydrogen centre. As an example we use Magnesium with hexagonal structure. For this system we calculate the difference eigenvalue with dependence on the displacement of the nearest neighbours and next nearest

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... ighbours of the hydrogen centre, respectively. Finally we calculate the radial electron density distribution in the environment of the proton.