Using this technique provides a unique opportunity to receive information about the electronic energy structure and the corresponding dispersion dependences of the electronic states of the valence band of the objects. These possibilities become particularly important in the study of the processes of the formation and analysis of the electronic properties of nanostructured low-dimensional objects of 2D- and 1D-type, where there is a substantial modification of the electronic structure of the valence states due to quantum size effects. Such modification allows to create objects with a fundamentally new type of electronic structure (which can be modified in a controlled manner) and, consequently, leads to radically new electronic properties of created objects. Therefore, it is very important to have the opportunity to study and control the electronic structure and the dispersion of the electronic states in the required direction of the Brillouin zone, where there are dimensional constraints of the wave functions of nanosystem.