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We present ab initio calculations of the parameter of the P-odd spin-rotational Hamiltonian for a variety of diatomic molecules, including the group–2 and --12 halides. The results were obtained by relativistic Dirac–Hartree–Fock and density functional theory approaches, and corrected for core polarization effects. Strong enhancement of is found for the group–12 diatomic halides, which should be helpful in future determination of the nuclear anapole moment.

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