The concept of nearly free valence electrons in metallic alloys explained the special stability of the Hume-Rothery phases if the Fermi sphere of the sp valence electron, treated as free, would be scattered by the Brillouin zone boundaries of the atomic structure. The description of the impurities in metals by the Thomas Fermi approximation would explain why such impurities would not interact at long range. Finally the delocalisation of the valence d electrons in transitional metals and alloys would explain the possibility for the magnetic moments of atoms to be expressed as fractions of Bohr magnetons, leading to ferro or antiferromagnetic coupling at short range. This last contribution, produced at the first international conference on magnetism, held in Strasbourg in May 1939, reinforced similar points of view defended at the time in France by the future Nobel laureate Louis Néel. In 1949, Mott suggested to Jacques Friedel to use the approach developed together with Marvey for a more accurate description of the electric-field screening of the impurity in a metal, leading to the characteristic long range charge oscillations. Friedel also used the concept developed in that book of virtual bound level to describe a situation when the atomic potential considered is not quite strong enough to create a (real) bound level of symmetry e ≠ o. The consequences of these remarks on the more exact approaches of cohesion in rp as well as d metals were mostly developed by his students in Orsay.