CHEM01200604004 Shri Sanyasinaidu Boddu - Homi Bhabha ...
CHEM01200604004 Shri Sanyasinaidu Boddu - Homi Bhabha ...
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