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6 0
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12 0
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1 6 0
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1 2 0
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16 0
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12 0
1 4 0
1 6 0
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Fig. 1 Difference densities in the molecular plane, r 4comp ( r ) r nonrel ( r ) for (a) Ni(C 2 H 2 ), (b)Pd
(C 2 H 2 ), (c) Pt(C 2 H 2 ); r ZORA ( r ) r nonrel ( r ) for (d) Ni(C 2 H 2 ), (e) Pd(C 2 H 2 ), (f) Pt(C 2 H 2 ); and
r DKH10 ( r ) r nonrel ( r ) for (g) Ni(C 2 H 2 ), (h) Pd(C 2 H 2 ), (i) Pt(C 2 H 2 ). Values of positive and
negative difference densities are indicated by solid and dashed lines , respectively. Contour lines
are drawn at
10 n e ˚ 3 with n
0, 1, 2. Note that the axes labels denote grid
points. (The figure is reprinted with permission from [ 64 ]. Copyright 2010 American Chemical
Society)
2,
4,
6,
8
¼
concentrations of the valence region of the nickel atom. Moreover, the scalar-
relativistic DKH10 Hamiltonian yields two more contour lines of negative differ-
ence than the Dirac or the ZORA-SO difference densities in the region around the
carbon atoms of the acetylene ligand. From the results of the nickel complex, one
obtains a first indication that the scalar-relativistic DKH10 Hamiltonian recovers
less of the relativistic effects than the ZORA-SO Hamiltonian.
The difference density maps for the palladium complex are depicted in Fig. 1b,
e, h . Here the situation is very similar to the nickel complex, but the relativistic
effects are more pronounced. The four maxima in the valence region of the metal
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