The analysis of tile quantum mechanical model of mesoscopic size antif
erromagnets shows that small antiferromagnets are characterized by a s
tronger exchange coupling and by an oscillating character of spins pol
arizations. Experimental evidence of tile quantum character is discuss
ed. We interpret tile interlayer coupling in antiferromagnet superlatt
ices and a puzzling resonance observed in nano-size antiferromagnet gr
ains.