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Introduction to Nanotechnology

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4.2. METAL NANOCLUSTERS 83<br />

Figure 4.10. Density functional calculation of excited state energy levels of Be, B8, and BI2<br />

nanoparticles. Pho<strong>to</strong>n-induced transitions between the lowest level and the upper levels<br />

determine the color of the particles. (F. J. Owens, unpublished.)<br />

One method of studying the electronic structure of nanoparticles is UV pho<strong>to</strong>-<br />

electron spectroscopy, which is described in more detail in Chapter 3. An incident<br />

UV pho<strong>to</strong>n removes electrons from the outer valence levels of the a<strong>to</strong>m. The<br />

electrons are counted and their energy measured. The data obtained from<br />

the measurement are the number of electrons (counts) versus energy. Because the<br />

clusters have discrete energy levels, the data will be a series of peaks with<br />

separations corresponding <strong>to</strong> the separations of the energy levels of the cluster.<br />

Figure 4.1 1 shows the UV pho<strong>to</strong>electron spectrum of the outer levels of copper<br />

clusters having 20 and 40 a<strong>to</strong>ms. It is clear that the electronic structure in the valence<br />

region varies with the size of the cluster. The energy of the lowest peak is a measure<br />

of the electron affinity of the cluster. The electron a&i@ is defined as the increase in<br />

electronic energy of the cluster when an electron is added <strong>to</strong> it. Figure 4.12 is a plot<br />

of the measured electron affinities versus the size of Cu clusters, again showing<br />

peaks at certain cluster sizes.<br />

4.2.5. Reactivity<br />

Since the electronic structure of nanoparticles depends on the size of the particle, the<br />

ability of the cluster <strong>to</strong> react with other species should depend on cluster size. This<br />

has important implications for the design of catalytic agents.<br />

There is experimental evidence for the effect of size on the reactivity of<br />

nanoparticles. Their reactivity with various gases can be studied by the apparatus<br />

sketched in Fig. 4.2, in which gases such as oxygen are introduced in<strong>to</strong> the region of<br />

the cluster beam. A laser beam aimed at a metal disk dislodges metallic particles that<br />

are carried along <strong>to</strong> a mass spectrometer by a flow of helium gas. Down stream

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