This work is devoted to construction of a model to describe influence of correlation and nonlocal charge interaction effects on the electronic properties of surface sp-systems on the example of Graphene adatom systems.The author likes to thank Dr. Iskakov S.N. University of Michigan, Ann Arbor, U.S.A, Dr. Krien F., Jozef Stefan Institute, Ljubljana, Slovenia, Prof. Mazurenko V.V. Ural Federal University, Yekaterinburg, Russia and Prof. Lichtenstein A.I., University of Hamburg, Hamburg, Germany
