We present a calculation of the hyperfine splitting of the 23S state in the He3 atom with inclusion of all QED effects up to α3EF, where EF is the Fermi splitting. Using the experimental value of the 1S hyperfine splitting in He+3, we eliminate uncertainties from the nuclear structure and obtain the theoretical prediction for He3 of νhfs=-6 739 701 181(41) Hz, which is in perfect agreement with the experimental value -6 739 701 177(16) Hz [S.
D. Rosner and F.
M. Pipkin, Phys.
Rev. A 1, 571 (1970)PLRAAN0556-279110.1103/PhysRevA.1.571].
This result constitutes a 40-fold improvement in precision as compared to the previous value and is the most accurate theoretical prediction ever obtained for a nonhydrogenic system.