Detailed consideration of the rigid-band model for alloys shows that it predicts the correct sign and magnitude for changes in Knight shifts on the addition of nonmagnetic impurities to such solvents as Ag and liquid Cu. We conclude that while oscillatory impurity screening is important to these changes, analyses invoking it alone are significantly deficient.

The electrical conductivity of potassium chloride is discussed within the framework of a four-defect model of the crystal. The four defects are mobile anion and cation vacancies and immobile divalent cation impurities and divalent cation impurity-cation vacancy complexes. The Teltow formulation of the four-defect model fails to describe precisely the measured electrical conductivity of KCl over the entire intrinsic and extrinsic range.

By general arguments it is shown that the dominant contribution to the magnetic resistivity ${\rho }_{\mathrm{mag}}$ of a metal is due to the short-range spin fluctuations and hence that $\frac{d{\rho }_{\mathrm{mag}}}{\mathrm{dT}}$ should, in the static approximation, vary like the magnetic specific heat.

The binding energy and single-particle energies have been calculated for ${\mathrm{O}}^{16}$ using reaction matrix theory and a meson-theoretical nucleon potential due to Green and Sawada. The binding obtained is 7.2 MeV/nucleon after Coulomb and center-of-mass corrections, in reasonable agreement with the experimental 7.98 MeV/nucleon.

Two- and four-quasiparticle microscopic theories are applied to fit the most recent data on the reactions ${\mathrm{Sn}}^{116}(e, e^{\prime }){\mathrm{Sn}}^{116}({2_1}^{+}, {3_1}^{-})$. The effective nuclear force is the realistic nucleon-nucleon potential of Tabakin renormalized by the core-polarization corrections. The observed angular distributions and the absolute values of the form factors can be reproduced for quite reasonable values of the single-particle parameters.

We discuss a Lagrangian model of $\pi -A_1$ mixing in the presence of divergenceless vector fields, which permits the calculation of satisfactory rho- and $A_1$-meson decay widths. The pion mass difference (for physical pions) is finite and approximately 5 MeV when the $A_1$ has unit magnetic moment.

The $\rho$ Regge amplitude for $\pi N$ charge-exchange scattering with helicity flip is partial-wave analyzed in the direct channel. This produces resonance circles on the Argand diagram corresponding to the prominent experimental $N^{*}$ resonances.