Visualizing the normal mode vibrations of water
The first vibration is (displacements given in standard Cartesian coordinates):
|
Vibration no. 1 -
Frequency = 2169.8cm–1 |
||||
|
Centre |
Atomic |
|
|
|
|
number |
number |
X |
Y |
Z |
|
1 |
8 |
0.00 |
0.00 |
0.07 |
|
2 |
1 |
0.00 |
-0.45 |
-0.54 |
|
3 |
1 |
0.00 |
0.45 |
-0.54 |
So it looks like:
|
Vibration no. 2 -
Frequency = 4141.2cm–1 |
||||
|
Centre |
Atomic |
|
|
|
|
number |
number |
X |
Y |
Z |
|
1 |
8 |
0.00 |
0.00 |
0.05 |
|
2 |
1 |
0.00 |
0.57 |
-0.42 |
|
3 |
1 |
0.00 |
-0.57 |
-0.42 |
|
Vibration no. 3 -
Frequency = 4392.4 cm–1 |
||||
|
Centre |
Atomic |
|
|
|
|
number |
number |
X |
Y |
Z |
|
1 |
8 |
0.00 |
0.00 |
0.07 |
|
2 |
1 |
0.00 |
-0.54 |
0.45 |
|
3 |
1 |
0.00 |
-0.54 |
-0.45 |
Modern programs allow these motions to
be animated, to visualize the vibrations.