Part 2

Part 1 (Introduction. Crystal Field splitting of the d-type Atomic Orbitals. Taylor's notation)

Energy Plane

The two energy parameters form the energy plane:

Symmetric Energy Plane: 

The lines where two energy levels are equal divide the plane into the six sectors. If the scaled parameter V^* is used, then the angles between all the adjacent lines are 60 degrees.

Energy Surfaces

The "atomic" orbital energy levels are the planes in the  -space:

The above intersecting planes form the three energy surfaces, so that  

E 10	E 20	E 30

Animation:

The spin-orbit interaction splits the above piecewise-plane energy surfaces into the three separate surfaces:

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.

g-Tensor Surfaces

All other quantities also form surfaces above the energy plane. In particular, there are three g-value surfaces (g_x, g_y, g_z) for each energy level. For level 3 the g-surfaces are

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 g_z-surface is symmetrical with respect to the plane V = 0. The g_y and g_x 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.

Part 3 (Discussion)

Part 4 (Calculations. Programs. References)

Part 5 (Experimental data processing)

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