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Advances in Fingerprint Technology.pdf

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purposes of understand<strong>in</strong>g their photolum<strong>in</strong>escence, these molecules can be<br />

thought of to good approximation as be<strong>in</strong>g two-electron systems. When the<br />

molecule is <strong>in</strong> the ground (unexcited) state, the two optically active electrons<br />

occupy the same molecular orbital, namely, the highest occupied molecular<br />

orbital (HOMO). Their sp<strong>in</strong>s must be antiparallel to satisfy the exclusion<br />

pr<strong>in</strong>ciple. The total sp<strong>in</strong> (S) of the two electrons, namely the sum of the two<br />

sp<strong>in</strong>s (1/2 each), is thus zero and the sp<strong>in</strong> multiplicity (2S + 1) is 1. The state<br />

is, accord<strong>in</strong>gly, a s<strong>in</strong>glet state. On optical excitation, one of the electrons is<br />

promoted to a molecular orbital of higher energy via the absorption of the<br />

excitation illum<strong>in</strong>ation, namely, to the lowest unoccupied molecular orbital<br />

(LUMO). The molecule is now <strong>in</strong> the excited state that gives rise to photolum<strong>in</strong>escence.<br />

If no electron sp<strong>in</strong> flip has taken place dur<strong>in</strong>g the excitation<br />

process, the excited state is still a s<strong>in</strong>glet state and the decay to the s<strong>in</strong>glet<br />

ground state (i.e., electron jump back to HOMO), accompanied by emission of<br />

light, is termed fluorescence. If a sp<strong>in</strong> flip has taken place, however, which is legal<br />

<strong>in</strong> terms of the exclusion pr<strong>in</strong>ciple because the two electrons no longer occupy<br />

the same orbital, the excited state becomes a triplet state (S = 1, 2S + 1 = 3) and<br />

the decay to the s<strong>in</strong>glet ground state is termed phosphorescence. The dist<strong>in</strong>ction<br />

between fluorescence and phosphorescence on the basis of electron sp<strong>in</strong>s<br />

is traced back to the nature of the electric dipole operator that describes the<br />

emission of light. It does not operate on sp<strong>in</strong>. Thus, an allowed transition,<br />

namely one that can occur quickly, one that comes with a short lifetime,<br />

<strong>in</strong>volves ground and excited states of the same sp<strong>in</strong> multiplicity (2S + 1).<br />

When the sp<strong>in</strong> multiplicities of the two states differ, the transition is forbidden<br />

and thus does not occur quickly; hence, a long lifetime. This def<strong>in</strong>ition<br />

of fluorescence and phosphorescence is not universally followed. For example,<br />

the lum<strong>in</strong>escences of lanthanides are often (sloppily) referred to as fluorescences<br />

although the sp<strong>in</strong> multiplicities of the <strong>in</strong>volved states differ by<br />

even more than discussed above, and the lifetimes of lanthanide lum<strong>in</strong>escences<br />

are very long compared to typical fluorescence lifetimes. Recomb<strong>in</strong>ation<br />

and trap lum<strong>in</strong>escences, as found <strong>in</strong> semiconductor materials, are a<br />

different matter still. In this chapter we reserve the term “fluorescence” to<br />

the transition between molecular s<strong>in</strong>glet states. Other transitions are referred<br />

to by the catch-all terms “lum<strong>in</strong>escence” and “emission,” or are called “phosphorescence”<br />

when appropriate accord<strong>in</strong>g to the above-described criterion.<br />

Basics of Time-Gated F<strong>in</strong>gerpr<strong>in</strong>t Detection<br />

Suppose a latent f<strong>in</strong>gerpr<strong>in</strong>t has been treated such that it phosphoresces and<br />

assume that it is located on a fluorescent article. Now illum<strong>in</strong>ate the article<br />

with an appropriate laser (filtered lamps are generally not useful for timeresolved<br />

f<strong>in</strong>gerpr<strong>in</strong>t detection) that is periodically turned on and off and<br />

assume there is on hand an imag<strong>in</strong>g device that can be turned on and off

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