2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223499A dilute Ising ferromagnet is considered in this study using renormalization group techniques with a hierarchical lattice. A series of phase diagrams have been produced that probe the effects of varying the temperature and concentration of nonmagnetic impurities. Each phase diagram corresponds to a different strength for the internal coupling coefficients on our lattice. Phases have been interpreted and critical exponents calculated for the higher order transitions.8 pages, 6 figures - Corrected References, Critical ExponentsStatistical MechanicsA Blume-Capel Ising Ferromagnet with Annealed Vacancies on a Hierarchical Latticetext