The elastic scattering cross sections for proton scattering from4Hewere determined in the proton energy region of 1.4–6.0 MeV. The measurements were performed at laboratory angles of 110°–170° for proton energies of 1.4–2.7 MeV and at angles of 140° and 170° for proton energies of 2.7–6.0 MeV. The scattering cross sections for1Hrecoils by4Heion bombardment for helium energies of 5.6–24 MeV at recoil angles of 4°–28° were calculated by kinematically reversing the reaction. The helium targets were prepared by implanting 60 keV4Heions into thin tantalum foils. The helium concentration was determined by transmission elastic recoil detection analysis employing 10 MeV28Siions. The obtained cross section data are compared with the available literature values. Differences up to 10&percent; are found in the values at the cross section curve maximum in comparison to earlier data. ©1997 American Institute of Physics.