LIU Chun-xu,. Multiphonon Relaxation of <sup>5</sup>D<sub>3</sub>&rarr;<sup>5</sup>D<sub>4</sub> and Local Density of States in &beta;-NaGdF<sub>4</sub>:Tb<sup>3+</sup> Nanocrystals[J]. Chinese Journal of Luminescence, 2014,35(12): 1443-1448
LIU Chun-xu,. Multiphonon Relaxation of <sup>5</sup>D<sub>3</sub>&rarr;<sup>5</sup>D<sub>4</sub> and Local Density of States in &beta;-NaGdF<sub>4</sub>:Tb<sup>3+</sup> Nanocrystals[J]. Chinese Journal of Luminescence, 2014,35(12): 1443-1448 DOI: 10.3788/fgxb20143512.1443.
Multiphonon Relaxation of 5D3→5D4 and Local Density of States in β-NaGdF4:Tb3+ Nanocrystals
This paper reports the experimental study of multiphonon relaxation (MR) involving a large energy gap (5 800 cm
-1
) crossover from bulk to nanocrystal (NC) system. The temperature dependence of MR rate for
5
D
3
5
D
4
of Tb
3+
in -NaGdF
4
:Tb
3+
NCs was analyzed in a single-frequency approximation of phonon spectrum in the framework of the nonlinear theory of MR. The experimental data well agree with the theoretical curves within the range of 12 K to 312 K. It is shown that MR occurs predominantly
via
high-energy optical phonons. In Rayleigh limit
assuming that the Tb
3+
emitter was located at the center of a nanosphere
the spontaneous decay rate
rad
was calculated using Green tensor approach. No significant variation in the local density of states (LDOS) was found inside the nanospheres. However
for
R
<
35 nm
a new Gaussian distribution of LDOS was obtained based on Chew's theory outside the nanospheres.
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references
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