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The "atomic" orbital energy levels are the planes in
the 
-space:
The above intersecting planes form the three energy surfaces, so that
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E 10 |
E 20 |
E 30 |
| Animation: |  |
The spin-orbit interaction splits the above piecewise-plane energy surfaces into the three separate surfaces:
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E 1 |
E 2 |
E 3 |
Note that the E1 and E2 surfaces still touch each other at the point (0, 0) - the pure octahedral case.
All other quantities also form surfaces above the energy plane. In particular, there are three g-value surfaces (gx, gy, gz) for each energy level. For level 3 the g-surfaces are
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| gz | gy | gx |
The upper cube facets are at g = 4 and the lower ones at g = -4. The three surfaces are actually the same surface rotated by 120°. The gz-surface is symmetrical with respect to the plane V = 0. The gy and gx surfaces are symmetrical with respect to the appropriate planes as well.
For better understanding of the three dimensional surfaces download the program gSurface . It displays g, E0 and E .The surfaces can be rotated and viewed from different directions.
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