In this study we model short-period waveform data in an attempt to constrain the P and S velocity structure at the Earth's inner core boundary (ICB). The data set consists of recordings from 10 events in the South Pacific, and the data selection criteria as well methods of analysis were designed to avoid problems with receiver response often associated with short-period waveform data. These data are modeled using a calculation technique that facilitates the consideration of a wide variety of models for the ICB. Results suggest that Qα in the inner core has the frequency dependence proposed by Doornbos (1983). The data determine the P velocities above and below the ICB to within a trade-off that is well constrained by the data. For example, with a P velocity structure above the ICB given by PREM, the P velocity below the ICB is 11.03¿0.03 km/s. Similarly, for the data analyzed here the estimate of the S velocity at the top of th inner core trades off with the estimate of Qα, but we use the Qα model of Doornbos (1983) to estimate the jump in S velocity to be 3¿1 km/s. ¿ American Geophysical Union 1988