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CHEM01200604004 Shri Sanyasinaidu Boddu - Homi Bhabha ...

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(IR), visible and ultra-violet (UV) region of the spectrum was presented by Dieke and<br />

Crosswhite in 1963 (Fig.7) [37, 38]. Most of the emitting levels are separated from the next<br />

lower level by an energy value of ~ 2 ×10 3 cm –1 or more.<br />

Fig.6. Splitting of 4f n electronic energy levels due to coulomb repulsions, spin-orbit coupling<br />

and crystal field effect.<br />

The excited states of lanthanide ions relax via two competitive pathways namely by<br />

light emission and phonon emission processes. The rate of phonon emission, ω, depends on<br />

the number of phonons emitted simultaneously to bridge the energy gap and is expressed by<br />

equation 5.<br />

⎛ kΔE<br />

⎞<br />

ω ∝exp⎜−<br />

⎟<br />

hν<br />

⎝ max ⎠<br />

…………………… (5)<br />

Where, ΔE is the energy gap to the nearest lower level and hν max is the maximum energy of<br />

phonons coupled to the emitting states. The phonon emission rate, ω, decreases rapidly with<br />

an increase in ΔE, so that the competitive light emission or radiative process becomes<br />

dominant [39]. Thus, the well-known high luminescence efficiencies for 5 D 0 of Eu 3+ and 5 D 4<br />

of Tb 3+ are based on the large energy gap of more than 10 4 cm –1 that needs to be bridged to<br />

15

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