We have studied the size effect on the L1 0 ordering of FePt ͑001͒ nanoparticles epitaxially grown on MgO ͑001͒. From the dark field images using 110 superlattice spots excited by incident electron beam along ͓11l͔ ͑l =4-6͒, the critical size for L1 0 ordering has been evaluated to be d = 1.5-2 nm below which no ordering occurs. Further, we have taken an electron diffraction pattern of each FePt nanoparticle using a nanometersized electron beam and determined the respective long-range order parameter S by analyzing the superlattice/ fundamental diffraction intensity ratio based on the multislice method. It is found that the order parameter S sharply drops below d ϳ 3 nm and decreases to zero for d Ͻ 2 nm, the result is almost consistent with thermodynamic calculations previously reported. The present work unambiguously shows that the ordering of L1 0 FePt is entirely inhibited when its size is less than d ϳ 2 nm. Such size effect is not so serious for practical applications of FePt to permanent magnets or magnetic recording media because the effect is significant only for d Ͻ 2 nm where the L1 0 FePt would be magnetically unstable due to severe thermal agitation.Equiatomic FePt forms a chemically ordered L1 0 structure below 1300°C, where there are alternating atomic planes of Fe and Pt along the c axis, 1 resulting in a tetragonal distortion in the unit cell and extremely large magnetic anisotropy energy of 7 ϫ 10 7 erg/ cc. 2 L1 0 FePt is expected to exhibit excellent hard magnetic properties even when its size is as small as 3 to 4 nm, due to its large magnetic anisotropy. Therefore much attention has been placed on fabrication and magnetic properties of nanostructured L1 0 FePt both from scientific and technological interests. Especially selfassembled monodisperse FePt nanoparticles are of particular interest for future ultrahigh density heat-assisted magnetic recording. 3,4 Recently a few studies have reported that equiatomic FePt is not transformed into the equilibrium L1 0 order phase when its size is less than several nanometers. 5-12 For example, Takahashi et al. 5 evaluated the long-range order parameter S of FePt granular films and found that the critical size for ordering was d ϳ 3 nm, being somewhat larger than the thermodynamic calculation using optimized nearest-neighbor Lennard-Jones potentials. A very similar critical size has been reported in thermodynamic calculations 9 and Monte Carlo simulations 11 based on the regular lattice Ising model. 13 Such instability of the order phase is mainly due to loss of bonding energy at the surface sites, in addition to other surface effects. 11,14 In the previous experiment on FePt-Al 2 O 3 granular films, 5,6 the order parameter S was determined from the electron diffraction intensity ratio I 110 / I 111 under the assumption of the kinematical diffraction theory, where I 110 and I 111 are the intensity for superlattice 110 and fundamental 111 diffractions, respectively. Furthermore, the size effect was discussed based on the mean particle size d m in spite ...