The hypothesis of a large weak matrix element between single-particle states in heavy nuclei (∼ 100 eV) contradicts the results of atomic PNC experiments.PACS numbers: 11.30. Er, 24.80.Dc, 27.80.+w, 35.10.Wb The scattering cross-sections of longitudinally polarized epithermal (1 -1000 eV) neutrons from heavy nuclei at p 1/2 resonances have large longitudinal asymmetry. This parity nonconserving (PNC) correlation is the fractional difference of the resonance cross-sections for positive and negative neutron helicities. For a long time the most natural explanation of the effect was based on the statistical model of the compound nuclei. In fact, not only the explanation, but the very prediction of the huge magnitude of this asymmetry (together with the nuclei most suitable for the experiments) was made theoretically [1] on the basis of this model.An obvious prediction of the statistical model is that after averaging over resonances, the asymmetry should vanish. However, few years ago it was discovered [2,3] that all seven asymmetries for 232 Th have the same, positive sign. This tendency was observed also in other nuclei.All the attempts [4][5][6][7] to explain a common sign require the magnitude of the weak interaction matrix element, mixing opposite-parity nuclear levels, to be extremely large, ∼ 100 eV. The same assumption seems to be necessary to explain unexpectedly large P-odd correlations observed in Mössbauer transitions in 119 Sn and 57 Fe [9,10]. In a recent paper [8] it was pointed out that such a large magnitude of the weak mixing can be checked in an independent experiment. The proposal is to measure PNC asymmetry in the M4 γ-transition between the (predominantly) single-particle states 1i 13/2 + and 2f 5/2 − in 207 Pb. The experiment sensitivity to the weak matrix element value is expected to reach 5 − 13 eV.In the present Comment we wish to note that close upper limit on the weak mixing in 207 Pb can be extracted now from the measurements of the PNC optical activity of atomic lead vapour [11]. The experiment was performed at the atomic M1 transition from the ground state 6p 2 3 P 0 to the excited one 6p 2 3 P 1 . The nuclear spin of 207 Pb being i = 1/2, the total atomic angular momentum of the ground level is F = 1/2, and the upper level is split into two: F ′ = 1/2, 3/2. The following upper limit was established at the 95% confidence level for the relative magnitude of the nuclear-spin-dependent (NSD) part of the optical activity:Hereand P is the main, nuclear-spin-independent, part of the PNC optical activity. In heavy atoms the NSD P-odd effects were shown to be induced mainly by contact electromagnetic interaction of electrons with the anapole moment of a nucleus which is its P-odd electromagnetic characteristic induced by PNC nuclear forces [12,13].The electromagnetic PNC interaction of electrons with nuclear AM is of a contact type. It is conveniently characterized in the units of the Fermi weak interaction constant G = 1.027 × 10 −5 m −2 (m is the proton mass) by a dimensionless constant κ....