THE ASTRONOMICAL JOURNAL VOLUME 113, NUMBER 1, PAGE 279 JANUARY 1997 PROTON CAPTURE CHAINS IN GLOBULAR CLUSTER STARS. II. OXYGEN, SODIUM, MAGNESIUM, AND ALUMINUM ABUNDANCES IN M13 GIANTS BRIGHTER THAN THE HORIZONTAL BRANCH ROBERT P. KRAFT UCO/Lick Observatory, Board of Studies in Astronomy and Astrophysics, University of California, Santa Cruz, California 95064 CHRISTOPHER SNEDEN McDonald Observatory and Department of Astronomy, University of Texas, Austin, Texas 78712 GRAEME H. SMITH AND MATTHEW D. SHETRONE UCO/Lick Observatory, Board of Studies in Astronomy and Astrophysics, University of California, Santa Cruz, California 95064 G. E. LANGER Department of Physics, Colorado College, Colorado Springs, Colorado 80903 CATHERINE A. PILACHOWSKI National Optical Astronomy Observatories, Tucson, Arizona 85726-6732 Observations of 11 giants in the globular cluster M13 fainter than M_V=-1.7 have been obtained with the High Resolution Echelle Spectrograph on the Keck I Telescope. When combined with similar data for brighter giants obtained with the 3.0-m Shane Telescope's Hamilton Echelle spectrograph, these data allow examination of the detailed abundances of oxygen, sodium, magnesium, and aluminium over a wide range of luminosity on the red giant branch. We find that oxygen depletions, correlated with sodium enhancements, can be found in giants with luminosities down to nearly the level of the horizontal branch at M_V=0.3. Aluminum abundances in M13 giants also span a wide range (~1.4 dex) and are anticorrelated with the observed magnesium abundances. However, field halo giants of comparable metallicity and evolutionary state exhibit (normal) high abundances of O and Mg and low abundances of Na and Al. Stars in M13 with high sodium and aluminum and low oxygen and magnesium abundances are found at all giant branch luminosities, as are stars with more normal light element abundances (as defined by field halo stars of comparable metallicity). The detailed abundance patterns of the light elements oxygen, sodium, magnesium, and aluminum can be explained most easily as a result of deep mixing and proton capture nucleosynthesis. Evidence in support of this explanation is (a) the constancy of the abundances of Al+Mg and C+N+O, (b) the shift in the distribution of sodium abundances toward higher values and of oxygen abundances toward lower values in cluster giants with surface gravities below log g = 1.0. The action of deep mixing, however, is seen not only at the top of the giant branch, but already in some giants even as faint as the level of the horizontal branch. (Copyright) 1996 American Astronomical Society.