Superconductivity and first-principles understanding of the phonon structure of transition metals

A formula for $\int {\omega }^{2}d\overrightarrow{\mathrm{q}}$ is derived which is of the form $\left(\mathrm{a}\mathrm{positive}\mathrm{number}\right)\times \Sigma n\left(k\right)[{\epsilon }_0-\epsilon \mathrm{}(k\left)\right]+\mathrm{other}\mathrm{terms}$. The first term peaks in the middle of the Periodic Table and drops off at its ends and is of the same order of magnitude as the experimentally determined $\int {\omega }^{2}d\overrightarrow{\mathrm{q}}$. The other terms are discussed.