THE ASTRONOMICAL JOURNAL VOLUME 113, NUMBER 5, PAGE 1711 MAY 1997 THE STRUCTURE OF THE LIGHT CURVES OF THE RR LYRAE VARIABLES IN THE OOSTERHOFF TYPE I CLUSTER NGC 6171 CHRISTINE M. CLEMENT AND IAN SHELTON Department of Astronomy, University of Toronto, Toronto, Ontario, M5S 3H8, Canada Electronic mail: cclement@astro.utoronto.ca, shelton@astro.utoronto.edu ABSTRACT CCD observations have been used to derive precise light curves and Fourier parameters for sixteen RR Lyrae variables in the Oosterhoff type I globular cluster NGC 6171. It is found that, for the RRab stars, the Fourier phase differences Phi_21, Phi_31 and Phi_41 all correlate with period, but the amplitude ratios R_21, R_31, and R_41 do not. For the RRc stars, R_21, Phi_31, and Phi_41 correlate with period, but Phi_21, R_31, and R_41 do not. It is also found that a plot of R_21 against Phi_21 is a useful tool for distinguishing between RRc and RRab stars, regardless of color or chemical composition. Simon's method that relates physical properties of RRc stars to the pulsation period and Fourier phase parameter Phi_31 has been used to determine the mass, luminosity, temperature and a helium parameter for the RRc stars. A comparison with the parameters determined from CCD observations of RRc stars in six other galactic globular clusters indicates that mean masses and mean luminosities increase and mean temperatures and helium abundances decrease with decreasing cluster metal abundance. The formulae of Jurcsik & Kovacs for relating Fourier parameters of RRab stars to [Fe/H] and luminosity have been tested and the results are reasonable. (c) 1997 American Astronomical Society.