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handbook of carbon, graphite, diamond and fullerenes

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26 Carbon, Graphite, Diamond, <strong>and</strong> Fullerenes<br />

.»:M .:<br />

1<br />

S Orbital<br />

P Orbital<br />

Figure 2.6. Schematic representation <strong>of</strong> the "s" <strong>and</strong> "p" orbitais.<br />

with its spin uncoupled from the other electrons. This alteration occurs as<br />

a result <strong>of</strong> the formation <strong>of</strong> hybrid atomic orbitais, in which the arrangement<br />

<strong>of</strong> the electrons <strong>of</strong> the L shell <strong>of</strong> the atom in the ground state is modified as<br />

one <strong>of</strong> the 2s electron is promoted (or lifted) to the higher orbital 2p as shown<br />

in Fig. 2.7. These new orbitais are called hybrids since they combine the<br />

2s <strong>and</strong> the 2p orbitais. They are labeled sp 3 since they are formed from one<br />

s orbital <strong>and</strong> three p orbitais.<br />

In this hybrid sp 3 state, the <strong>carbon</strong> atom has four 2sp 3 orbitais, instead<br />

<strong>of</strong> two 2s <strong>and</strong> two 2p <strong>of</strong> the ground-state atom <strong>and</strong> the valence state is raised<br />

from two to four. The calculated sp 3 electron-density contour is shown in<br />

Fig. 2.8 <strong>and</strong> a graphic visualization <strong>of</strong> the orbital, in the shape <strong>of</strong> an electron<br />

cloud, is shown in Fig. 2.9. [12] This orbital is asymmetric, with most <strong>of</strong> it<br />

concentrated on one side <strong>and</strong> with a small tail on the opposite side.

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