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We present a method for constructing a pseudoelectric field at each point in space, which gives the force on a classical ion due to its local or nonlocal pseudopotential interaction with a quantum electronic system. Our derivation extends a classical reciprocity theorem used by Hellmann and Feynman for purely Coulombic interactions to a family of generalized electron-ion potentials, which are useful for efficient electronic structure studies. The method is computationally efficient and itdoi:10.1103/physrevb.55.15356 fatcat:zl776vwutrdbnfgwuwfrbhjxue