Since the Hara energy-dependent free-electron-gas exchange approximation has been found to be significantly superior to the Slater Xα approximation in calculations of elastic electron scattering from molecular systems, we report herein its application to the calculation of elastic low-energy electron diffraction (ELEED) intensity profiles from GaAs(110). Comparison of intensity profiles calculated for Slater and Hara exchange, using a GaAs(110) surface structure previously shown to give good agreement with ELEED data, reveals no significant overall distinction between the two models for a sample of 12 beams. Certain large peaks predicted in some beams for Slater exchange are, however, found to be in better correspondence with the measured intensities when Hara exchange is utilized. The changes in intensity profiles due to the differences between the Hara and Slater exchange potentials are found to be smaller than, or comparable to, changes resulting from small subsurface reconstructions. Both models of the exchange interactions lead to the prediction of a multilayer reconstruction of the GaAs(110) surface geometry on the basis of an analysis of measured ELEED intensities.