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The importance of taking into account inter-site $f-f$ hybridization inelectron structure calculations for Ce metal and cerium heavy fermion compoundswas studied. We demonstrate that for heavy-fermion systems such as ceriumcompound CeCu$_2$Si$_2$ $f-f$ hybridization can be neglected and Anderson modelapplication is well justified. On another hand for cerium metal $f-f$hybridization is strong enough to provide the contribution to hybridizationfunction comparable to hybridization between $4f$ and itinerant electrons. Weargue that in the case of Ce only the most general Hamiltonian combiningHubbard and Anderson models should be used.

Applicability of Anderson and Hubbard model for Ce metal and cerium heavy fermion compounds