The excited atoms of the target material are ejected during an ion bombardment of solids. These atoms belong to one of two velocity groups-fast or slow. The fast atoms arise in binary collisions of bombarding ions with target atoms and the slow ones are knocked out as a result of a sputtering process. Excited atoms flying off the surface intersect the solid-vacuum boundary and can transfer their excitation energy in the radiationless transitions mainly of the resonance ionization type. The probability of this process depends strongly on the electronic energy level structure of solids and a velocity of ejected atoms. On this statement our method of the electronic energy level structure of solids study is based by means of investigation of excited atoms velocity spectrum. On the results of paper [4] we remark that in their experimental conditions the surface of the lithium target was apparently strongly oxidized. Using our method and results of paper [4] we can estimate the energy width of the conduction band of Li20 to 0.4 eV. In general the cascade corrections to the mean life times of excited atoms may be important and one can take them into account. The detailed analysis of the influence of the cascade corrections to the mean life times of upper excited states of some TiI lines (2). 5210A, 5064 A, 4682 A, 3981 A, 4533 A, 4856/~) was carried out. It was found that in the case when our method was applied to determination of the work function of metallic titanium the cascade corrections either are negligible or not necessary.By means of measurements of the effective velocity of excited atoms ejected from the solid targets by an ion beam it is possible to estimate the energy of the Fermi level of metals and the energy width of the conduction band of isolators [1][2][3]. In the paper [4] the method worked out in [1-3] was criticised. In this note we answer to objections of the authors of Reference [4]. 1. In [4] the dependences of the relative upper level population of some lines of the LiI spectrum radiated ejected lithium atoms on the principal quantum number of a level were investigated (see Fig. 4 [4]). In this dependence for the p-levels there is no abrupt change of the level population between 2p and 3p levels. This finding contradicts to our ideas since the Fermi level of metallic lithium is situated between the 2p and 3p levels. Excited atoms of copper observed in the paper referred were not slow (a mean energy of 11 eV) but fast (actually their energy was of an order of several keV). This correction have been made by the authors [5] in their subsequent paper [6] and the correct result is in accordance with the value of the Fermi level energy of copper. 3. It is true that one must take into account the cascade corrections to the mean life of levels of