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CHEM01200604004 Shri Sanyasinaidu Boddu - Homi Bhabha ...

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assisted by lattice phonons of appropriate energy, ħΩ, and this is usually known as phononassisted<br />

energy transfer process. The interaction Hamiltonian for the energy transfer process<br />

involves different types of interactions; namely, multipolar (electric and/ or magnetic)<br />

interactions and/ or quantum mechanical exchange interaction. The dominant interaction is<br />

strongly dependent on the separation between the donor and acceptor ions and on the nature<br />

of their wave functions. Exchange interactions only occur if the donor and acceptor ions are<br />

close enough for direct overlap of their electronic wave functions. Consequently, energy<br />

transfer due to quantum mechanical exchange interactions between the D and A ions is only<br />

important at very short distances (nearest neighbor positions). Irrespective of the mechanism<br />

of energy transfer, the fluorescence lifetime of the donor center, τ D , is affected as a result of<br />

any energy transfer process to an acceptor [42]. Therefore, the lifetime of the donor ions (τ D )<br />

can be expressed by equation 6.<br />

1 1<br />

= + Anr<br />

+ Pt<br />

……………………… (6)<br />

τ ( τ )<br />

D<br />

D<br />

0<br />

where (τ D ) 0 is the radiative lifetime of the donor ion, A nr is the non-radiative rate due to<br />

multi-phonon relaxation, and P t is the transfer rate due to energy transfer. Hence the observed<br />

lifetime of the donor is a measure of extent of energy transfer. In addition to this, variation of<br />

the emission intensity as a function of time can also give information regarding the<br />

distribution of donor and acceptor centres in the system.<br />

Concentration Quenching: In principle, an increase in the concentration of a luminescent<br />

center in a given material should be accompanied by an increase in the emitted light intensity,<br />

this being due to the corresponding increase in the absorption efficiency. However, such<br />

behavior only occurs up to a certain critical concentration of the luminescent centres. Above<br />

this concentration, the luminescence intensity starts to decrease. This process is known as<br />

concentration quenching of luminescence. In general, the origin of luminescence<br />

19

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