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We have investigated a contribution of the density of state (DOS) to the Mottmetal-insulator transition (MIT). The MIT condition is given by the DOS, whichusually requires the complicated fundamental equations. To simplify theprocess, we have derived a general solution of the MIT condition by an integralcontains the DOS in the framework of coherent potential approximation. Theformula is concise and presents the direct relationship between the MITcondition and the DOS. It is able to calculate the contribution quantitativelyand to compare various DOSs analytically.

General condition of the Mott transition expressed with the density of state