The complicated rhombohedral unit cell of crystalline beta-boron conta
ining 105 atoms is a good approximant structure for a quasicrystal. Th
us one may wonder if between the amorphous and the crystalline phases
of boron, a non-metallic quasi-crystalline phase could exist. In order
to examine this possibility and to characterize order and disorder in
boron phases, we have performed high resolution electron microscopy (
HREM) and electron energy loss spectroscopy (EELS) measurements. In th
e crystalline phase, the creation of large number of microtwins and st
acking faults is the way that nature chooses to disorder boron. The pr
esence of these microtwins seems to be the major obstacle towards the
formation of a quasicrystal. A comparison between energy loss near edg
e structures and electronic density of states for different boron comp
ounds has allowed us to identify the signature of the icosahedra in EE
LS measurements. In the amorphous phase, a special processing of HREM
images proposed by Fan and Cowley has been applied in order to estimat
e the extent of local order in amorphous boron. Both techniques (HREM
and EELS) have confirmed the presence of icosahedral units in the amor
phous phase. This raises the question of the existence of a quasi-crys
talline phase.