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V - MSpace at the University of Manitoba

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<strong>the</strong> ground st<strong>at</strong>e electron configur<strong>at</strong>ions, which generally leads to a variety <strong>of</strong><br />

comput<strong>at</strong>ionally difficult to model, closely spaced, open-shell st<strong>at</strong>es.<br />

1.3.2 Electronic Strucure <strong>of</strong> Actinyls<br />

The electronic structure <strong>of</strong> <strong>the</strong> actinyl unit AnO2 2+ is closely tied to <strong>the</strong> orbitals <strong>of</strong><br />

<strong>the</strong> actinide <strong>at</strong>oms. If we consider <strong>the</strong> fully ionic picture, <strong>the</strong> actinyl c<strong>at</strong>ion is tre<strong>at</strong>ed as<br />

An 6+ and <strong>the</strong> two oxygen anions as O 2– . In this picture <strong>the</strong> oxygen <strong>at</strong>oms adopt a closed-<br />

shell configur<strong>at</strong>ion 2s 2 2p 6 <strong>of</strong> an inert gas while uranium adopts closed-shell 5f 0 st<strong>at</strong>e<br />

(Figure 1–2).<br />

As for neptunium and plutonium <strong>the</strong>y adopt open-shell 5f 1 and 5f 2 st<strong>at</strong>es (1�u or<br />

1�u), with one and two unpaired electron configur<strong>at</strong>ions, respectively.<br />

There has been much disagreement over <strong>the</strong> ordering <strong>of</strong> <strong>the</strong> highest filled orbitals<br />

<strong>of</strong> UO2 2+ —examples <strong>of</strong> altern<strong>at</strong>e orderings include [23, 25, 26]—even so, most<br />

calcul<strong>at</strong>ions predict 2�u as <strong>the</strong> highest occupied molecular orbital (HOMO), as shown in<br />

Figure 1–2. Also, since U 6+ is an f 0 ion, <strong>the</strong> highest filled MOs <strong>of</strong> UO2 2+ are thought to be<br />

mostly O(2p 6 ) in character. Because <strong>of</strong> <strong>the</strong> cylindrical symmetry <strong>of</strong> <strong>the</strong> linear UO2 2+ unit,<br />

<strong>the</strong> allowed U(5f) (ungerade) and U(6d) (gerade) interactions are mutually exclusive.<br />

Thus only <strong>the</strong> 5f (�u, �u) MOs have <strong>the</strong> correct symmetry to interact with <strong>the</strong> 3�u, 3�u<br />

MOs and in turn only 6d (�g, �g) MOs can interact with <strong>the</strong> 2�g, 2�g MOs. Therefore,<br />

even though <strong>the</strong> 12 valence electrons all origin<strong>at</strong>e from <strong>the</strong> two oxygen <strong>at</strong>oms, both <strong>the</strong><br />

6d and 5f actinyl orbitals are thought to have significant particip<strong>at</strong>ion in forming wh<strong>at</strong> is<br />

12

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