| Figure 1: 3.5 nm diameter Si nanosphere in SiO2 matrix
(C++ listing: scp70k.c) |
|
(a) Si nanosphere with very soft surrounding material. This is approaching
the limit of an isolated sphere. The peak
at 42 cm-1 corresponds to
dimensionless frequency η=2.66 .
The agrees with the exact solution for a
free sphere. |  |
|
(b) Si nanosphere surrounded by 1 nm thick SiO2 1 nm layer,
surrounded by SiO2 matrix (just a check on the correctness
of the computer program) Compare to Fig 1(a)
in md21.htm) |  |
|
(c) soft 0.005 nm thick boundary |  |
|
(d) soft 0.01 nm thick boundary |  |
|
(e) soft 0.02 nm thick boundary |  |
|
(f) soft 0.05 nm thick boundary |  |
| (g) soft 0.1 nm thick boundary |  |
| (h) soft 0.2 nm thick boundary |  |
| (i) soft 0.5 nm thick boundary |  |
| (j) soft 1 nm thick boundary |  |
| (k) soft 2 nm thick boundary |  |