These phenomena are closely related to electronic absorption spectra and can be used as a tool for analysis and structure determination. Both involve the absorption of radiation via an electronic transition, a loss of energy through either vibrational energy decay or nonradiative processes, and the subsequent emission of radiation of a lower frequency than that absorbed.
Electrons possess intrinsic magnetic moments that are related to their spin angular momenta. The spin quantum number is s = 1/2, so in the presence of a magnetic field an electron can have one of two orientations corresponding to magnetic spin quantum number ms = ±1/2. The Pauli exclusion principle requires that no two electrons in an atom have the same identical set of quantum numbers; hence when two electrons reside in a single AO or MO they must have different ms values (i.e., they are antiparallel, or spin paired). This results in a cancellation of their magnetic moments, producing a so-called singlet state. Nearly all molecules that contain an even number of electrons have singlet ground states and have no net magnetic moment (such species are called diamagnetic). When an electron absorbs energy and is excited to a higher energy level, there exists the possibility of (1) retaining its antiparallel configuration relative to the other electron in the orbital from which it was promoted so that the molecule retains its singlet characteristic, or (2) changing to a configuration in which its magnetic moment is parallel to that of its original paired electron. In the latter case, the molecule will possess a net magnetic moment (becoming paramagnetic) and is said to be in a triplet state. For each excited electronic state, either electron spin configuration is possible, so there will be two sets of energy levels (see Figure 9). The normal selection rules forbid transitions between singlet (Si) and triplet (Ti) states; hence there will be two sets of electronic transitions, each associated with one of the two sets of energy levels.
Fluorescence
Fluorescence is the process whereby a molecule in the lower of two electronic states (generally the ground state) is excited to a higher electronic state by radiation whose energy corresponds to an allowed absorption transition, followed by the emission of radiation as the system decays back to the original state. The decay process can follow several pathways. If the decay is back to the original lower state, the process is called resonance fluorescence and occurs rapidly, in about one nanosecond. Resonance fluorescence is generally observed for monatomic gases and for many organic molecules, in particular aromatic systems that absorb in the visible and near-ultraviolet regions. For many molecules, especially aromatic compounds whose electronic absorption spectra lie predominately in the shorter-wavelength ultraviolet region (below 400 nanometres), the lifetime of the excited electronic state is sufficiently long that prior to the emission of radiation the molecule can (1) undergo a series of vibrational state decays, (2) lose energy through interstate transfer (intersystem crossing), or (3) lose vibrational energy via molecular collisions.
In the first case, the system will emit radiation in the infrared region as the vibrational energy of the excited state decays back to the lowest vibrational level. The molecule then undergoes an electronic state decay back to one of the vibrational states associated with the lower electronic state. The resulting emission spectrum will then be centred at a frequency lower than the absorption frequency and will appear to be a near mirror image of the absorption spectrum. The second mechanism can be illustrated by reference to the potential energy curves for nitrogen hydride (NH) shown in . The curves for the 1Σ+ and 1Π states intersect at a radius value of 0.2 nanometre. If a molecule in the 1Π excited electronic state is in a vibrational level corresponding to the energy value of this intersection point, it can cross over to the 1Σ+ state without emission or absorption of radiation. Subsequently it can undergo vibrational energy loss to end up in the lowest vibrational state of the 1Σ+ electronic state. This can then be followed by an electronic transition back to the lower 1Δ state. Thus the absorption of energy corresponding to an original 1Δ → 1Π transition results in the emission of fluorescence radiation corresponding to the lower frequency 1Σ+ → 1Δ transition. In the third case, when two molecules collide there exists the possibility for energy transfer between them. Upon colliding, a molecule can thus be transformed into a different electronic state whose energy minimum may lie lower or higher than its previous electronic state.
The lifetimes of the excited singlet electronic states, although long enough to allow vibrational relaxation or intersystem crossing, are quite short, so that fluorescence occurs on a time scale of milliseconds to microseconds following irradiation of a material. The most common mode of observation of fluorescence is that of using ultraviolet radiation (invisible to the human eye) as an exciting source and observing the emission of visible radiation. In addition to its use as a tool for analysis and structural determination of molecules, there are many applications outside the laboratory. For example, postage stamps may be tagged with a visually transparent coating of a fluorescing agent to prevent counterfeiting, and the addition of a fluorescing agent with emissions in the blue region of the spectrum to detergents will impart to cloth a whiter appearance in the sunlight.
Phosphorescence
Phosphorescence is related to fluorescence in terms of its general mechanism but involves a slower decay. It occurs when a molecule whose normal ground state is a singlet is excited to a higher singlet state, goes to a vibrationally excited triplet state via either an intersystem crossing or a molecular collision, and subsequently, following vibrational relaxation, decays back to the singlet ground state by means of a forbidden transition. The result is the occurrence of a long lifetime for the excited triplet state; several seconds up to several hours are not uncommon. These long lifetimes can be related to interactions between the intrinsic (spin) magnetic moments of the electrons and magnetic moments resulting from the orbital motion of the electrons.
Molecules in singlet and triplet states react chemically in different manners. It is possible to affect chemical reactions by the transfer of electronic energy from one molecule to another in the reacting system. Thus the study of fluorescence and phosphorescence provides information related to chemical reactivity.