448 F.M. Ross
We fi rst discuss transformations in bulk materials, then examine
transformations in small volumes of material. These small volumes
may be free-standing nanostructures or nanoparticles encapsulated in
a matrix. A recurring theme will be the fi nding that small volumes do
not transform under the same conditions as larger volumes, which is
extremely important for the development of complex materials.
2.1 Crystallization, Melting and Grain Growth in Bulk Materials
2.1.1 Amorphization and Crystallization
The crystallization of amorphous materials is an interesting and impor-
tant process which is uniquely suited to TEM analysis. Early, elegantly
simple experiments involved the recrystallization of silicon, deposited
as an amorphous thin fi lm and then heated in cross section in a high
resolution TEM. These experiments (Parker et al., 1986; Sinclair et al.,
1987) showed the power of high resolution imaging at high tempera-
ture. The nucleation of crystallites was visualized, allowing estimation
of the critical nucleus size, and the irregular progress of the reaction
front was demonstrated, even though macroscopically the kinetics
were consistent with a more continuous ledge mechanism. This pio-
neering work provided an atomic scale view of a bulk phase transfor-
mation, showing the start-stop motion we now expect for atomic scale
processes. Using multilayer specimens to extend this approach to
metal-mediated crystallization of Si, Ge, or C clearly demonstrated the
mechanism for these reactions as well (Figure 6–1, Konno and Sinclair,
1992, 1995a, b, c; Sinclair et al., 2002). Si crystallization has now been
so well studied, both in situ and ex situ, that it has actually been used
as a calibration tool to measure the temperature in thin specimens
(Hull and Bean, 1994; Stach et al., 1998a). An accurately calibrated
temperature is essential in obtaining quantitative information, such as
activation energy, for reactions carried out in situ. More recent crystal-
lization studies have used plan view rather than cross sectional geom-
etry, allowing many individual grains to be imaged. For example, the
nucleation and growth rates of individual NiTi crystals during heating
were found to be in agreement with the Johnson-Mehl-Avrami-
Kolmogorov model (Lee et al., 2005), allowing grain size distributions
to be predicted in this shape-memory alloy.
An interesting industrial application of this type of experiment, rel-
evant to new types of information storage, is shown in Figure 6–2.
Phase change materials such as GeSb and GeSbTe can store bits of
information as amorphous areas embedded in crystalline regions. A
high laser power is used to write amorphous spots, a medium power
erases by recrystallizing, and a low power (or other measurement)
reads the bits. In situ observations of crystallization have been made in
fi lms deposited on SiN membranes (Kooi et al., 2004; Kooi and De
Hosson, 2004), free-standing fi lms (Petford-Long et al., 1995) and actual
compact disc materials (Kaiser et al., 2004). Beam heating shows nucle-
ation and growth kinetics (Figure 6–2B), while more controlled experi-
ments using a heating stage measure activation energies (Figure 6–2A).
SbO
x
, another potential phase change material, has been examined in