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Copyright 2004 by Marcel Dekker, Inc. All Rights Reserved.

Copyright 2004 by Marcel Dekker, Inc. All Rights Reserved.

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The solid line in Fig. 1 shows the energy separation between the first andsecond conduction-band states 1S e and 1P e , respectively, plotted as a functionof diameter for CdSe quantum dots. The 1S e and 1P e energies are calculatedusing the kp approximation applied to a spherical quantum box andassuming an external potential of 8.9 eV, which is the value used <strong>by</strong> Norrisand Bawendi to fit the interband absorption spectra [15]. With a delocalizedhole in a 1S 3/2 state that is initially created <strong>by</strong> band-edge photoexcitation, theelectron–hole Coulomb contribution would increase the 1S e –1P e transitionenergy <strong>by</strong> about 0.05 – 0.1 eV in the size range studied, as shown <strong>by</strong> the dottedline.Figure 1 The 1S e –1P e transition energy as a function of the inverse radius squaredfor CdSe nanocrystals. The solid line is the result of calculations using the k p model.The dashed line is the result of calculations that include Coulomb interactions with adelocalized hole [12]. The solid symbols are experimental results for photoexcitednanocrystals; solid triangles are measured with a laser (resolution 10 ps) [12] and soliddiamonds are measured with a step-scan Fourier transform IR (FTIR) spectrometer(resolution f40 ns) [13]. The open circles are results obtained for n-type, trioctylphosphine oxide (TOPO)-capped nanocrystals, whereas the open triangles are resultsof measurements for n-type, surface-modified nanocrystals (the type of surfacemodification is indicated in the figure) [14].<strong>Copyright</strong> <strong>2004</strong> <strong>by</strong> <strong>Marcel</strong> <strong>Dekker</strong>, <strong>Inc</strong>. <strong>All</strong> <strong>Rights</strong> <strong>Reserved</strong>.

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