Abstract. Pseudo-hybridization interaction (g) acting between f- and d-electrons situated on same site induced by d-electron density with opposite spin, has been considered within a two-band extended Falicov-Kimball model. An exact diagonalization method in an eight-site 2D square cluster has been followed. The obtained results are: (i) a discontinuous intermediate valence transition at a critical value of f-level energy E_c; (ii) non-zero f-d correlation function which confirms the valence transition from insulating state to metallic state; (iii) single- and double-peak shaped temperature dependent specific heat curves in the presence of pseudo-hybridization interaction and for different f-level energy E; (iv) increasing order of the system with the increase of g; (v) sharp peak of temperature dependent spin susceptibility curves confirm the antiferromagnetic property of the system. The results have been compared with earlier observations.

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