Biomedical Engineering Reference
In-Depth Information
Table 17.3: Aspect Ratio of the Observed Nanocrystals: Experiments versus Theory
Nanocrystal
Length (nm)
Experimental
Dimensions (nm)
Experimental Aspect
Ratio
Theoretical Aspect
Ratio
54
72
3
54
3
53
5.43
3
4.08
3
4
5
3
4
3
4
55
55
3
45
3
33.5
4.93
3
4.03
3
3
5
3
5
3
3
86
104
86
86
4.84
4
4
5
4
4
3
3
3
3
3
3
120
120
46
46
7.83
3
3
8
3
3
3
3
3
3
3
3
Table 17.4: Main Dimensions of the Observed Nanocrystals: Experiments versus Theory
Nanocrystal Length (nm)
Dimensions Measured
Dimensions Theoretical
Difference (nm)
54
72
66.3
5.7
1
54
53
1
1
53
53
55
55
55.8
2
0.8
45
55.8
2
10.8
33.5
33.5
86
104
107.5
2
3.5
86
86
0
86
86
120
120
122.7
2.7
2
46
46
0
46
46
The obtained experimental results are consistent with the theoretical structure
(
Figure 17.14A
).
Figure 17.14C
shows the level lines of the top face.
Figure 17.14D
shows
a cross-section where each horizontal line corresponds to five elementary cells of NaCl.
The crystal is inclined with respect to the camera plane that was corrected by means of an
infinitesimal rotation. This allowed the actual thickness jump in the upper face of the
crystal (see the theoretical structure in
Figure 17.14B
) to be obtained. The jump in
thickness is 26 nm out of a side length of 86 nm, this corresponds to a ratio of 0.313 which
is very close to theory. In fact, the theoretical structure predicted a vertical jump of one
atomic distance versus three atomic distances in the transverse direction, i.e., a ratio of
0.333.
17.9.3 Observation of the Polystyrene Nanospheres
Microspheres and nanospheres made up of transparent dielectric media are excellent optical
resonators. Unlike the NaCl nanocrystals, whose resonant modes have not been previously
studied in the literature, both theoretical and experimental studies on the resonant modes of
microspheres and nanospheres can be found in the literature. Of particular interest are the
modes localized at the surface, along a thin equatorial ring. These modes are called
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