Table 1: Summarizes calculations of the radii, velocities, kinetic and potential energies, and total energies for the hydrogen electron as a function of principal quantum number n.
|
n |
R (×10-11 m) |
V (×106 m/s) |
KE (×10-19 J) |
PE (×10-19 J) |
Etotal (×10-19 J) |
|
1 |
5.29 |
2.19 |
21.84 |
-43.67 |
-21.83 |
|
2 |
21.16 |
1.09 |
5.41 |
-10.91 |
-5.5 |
|
3 |
47.6 |
0.730 |
2.42 |
-4.84 |
-2.41 |
|
4 |
84.6 |
0.547 |
1.35 |
-2.7 |
-1.35 |
|
5 |
132.3 |
0.438 |
0.874 |
-1.74 |
-0.874 |
|
6 |
198.4 |
0.358 |
0.583 |
-1.17 |
-0.538 |
|
7 |
259.2 |
0.313 |
0.446 |
-0.892 |
-0.446 |
|
8 |
338.6 |
0.274 |
0.33 |
-0.66 |
-0.33 |
|
10 |
529 |
0.219 |
0.218 |
-0.436 |
-0.218 |
|
15 |
1,190 |
0.199 |
0.097 |
-0.194 |
-0.097 |
|
20 |
2,116 |
0.110 |
0.055 |
-0.109 |
-0.055 |
|
27 |
3,856 |
0.082 |
0.031 |
-0.061 |
-0.031 |
|
30 |
4,761 |
0.073 |
0.024 |
-0.048 |
-0.024 |