The contribution of virtual excitations of paired nucleons to T-nonconserving nuclear moments caused by T-odd nuclear forces is shown to be comparable to the contribution of the external nucleon. Taking into account the contribution of paired nucleons in the ¹²⁹Xe nucleus allows one to extract from atomic experiments the best limit on the P- and T-nonconserving nucleon-nucleon interactions. This limit approaches, by its implications, the limit on the neutron dipole moment. In the case of the P-nonconserving, but T-invariant, anapole nuclear moment the external nucleon's excitations dominate.