Relativistic Calculation Of K$\beta$ Hypersatellite Energies and   Transition Probabilities for Selected Atoms with 13<=Z<=80
  Energies and transition probabilities of K$\beta$ hypersatellite lines are computed using the Dirac-Fock model for several values of $Z$ throughout the periodic table. The influence of the Breit interaction on the energy shifts from the corresponding diagram lines and on the K$\beta\_{1}^{\rm h}$/K$\beta\_{3}^{\rm h}$ intensity ratio is evaluated. The widths of the double-K hole levels are calculated for Al and Sc. The results are compared to experiment and to other theoretical calculations. 
A.M. Costa (CFA), M.C. Martins (CFA), J.P. Santos (DFFCT), Paul   Indelicato (LKB - Jussieu), F. Parente (DFFCT, CFA)