The dependence of the low-energy ion scattering signal intensity on the crystallographic orientation of the single-crystal surface was studied to show that it by no means always is proportional to the atomic density in the uppermost atomic layer. Based on a comparison of signals from various planes of a single crystal of high-purity tungsten, it is shown that for a surface with a more open structure ions scattered from the atoms of deeper atomic layers give a significant contribution to the measured signal. Thus, for the (111) plane, the contribution from the deeper layers even exceeds the contribution from the uppermost layer. It is shown that, to quantitatively analyze the surface composition by the low-energy ion scattering (LEIS) method...