The total attenuation cross sections of the elements copper, zirconium, silver, and tin have been measured experimentally in a narrow beam good geometry set up by employing a high-resolution hyperpure germanium detector in the energy range 5 to 85 keV. The data have been used to derive the K-shell photoeffect cross sections at the K-edge, the oscillator strength gK, and the K-jump ratio of the elements copper, zirconium, silver, and tin. The photoeffect cross sections at the K-edge and the oscillator strengths of the element have been calculated by making use of a method that eliminates the requirement of subtracting the theoretical scattering contribution. The best-fit coefficients for the cross sections and the relations so obtained for the jump ratios and oscillator strengths facilitate a speedier E- and Z-wise interpolation of the data on total attenuation cross sections as well as JK and K-shell photo effect cross sections at the K-edge, respectively, in the range 5 to 85 keV, for elements in the atomic number range 25 to 55.