Spin tunneling in molecular magnets has attracted much attention, however t
heoretical considerations of this phenomenon up to now have not taken into
account the many-spin nature of molecular magnets. We present, to our knowl
edge, the first successful attempt of a realistic calculation of tunneling
splittings for Mn-12 molecules, thus achieving a quantitatively accurate ma
ny-spin description of a real molecular magnet in the energy interval rangi
ng from about 100 K down to 10(-12) K. Comparison with the results of the s
tandard single-spin model shows that many-spin effects affect the tunneling
splittings considerably. The values of ground state splitting given by sin
gle-spin and many-spin models differ from each other by a factor of 5. (C)
2000 American Institute of Physics. [S0021-8979(00)66308-9].