2589 20160706141142.0 ASTROimport-746 Ferland, G. J. 2007 Infrared and radio observations reveal large reservoirs of molecular gas in optical filaments seen in cooling flows in clusters of galaxies. Recent Spitzer observations show that molecular hydrogen emission occurs over a broad range of temperatures, ranging from roughly 300 K to 2000 K. Central questions involve the history of the filaments, their total mass, and the energy sources responsible for the molecular hydrogen and low-ionization emission. Here we present numerical simulations of the effects of cosmic rays or thermalized heating upon otherwise well shielded molecular gas. We show diagnostic excitation and emission diagrams and discuss implications for the nature of the emission. Molecular Emission From Filaments In Cooling Flows Fabian, A. C. Hatch, N. A. Johnstone, R. M. Porter, R. L. van Hoof, P. A. M. Williams, R. J. R. 54.08 Bulletin of the American Astronomical Society 39 2007 http://esoads.eso.org/abs/2007AAS...211.5408F published in NONREF