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Hispanic groups had pushed for him to be named to head the State Department, but that position is going to another former Obama rival, Sen. Hillary Rodham Clinton of New York.

Mr. Richardson’s spokesman in Santa Fe, New Mexico’s capital, provided the same statement that the campaign did.

Lt. Gov. Diane Denish had been preparing for the transition to take the place of Mr. Richardson, whose second term as governor expires in 2010.

• Richard C. Gross contributed to this report.