Probability Distribution of Luminescence Lifetime of Nanometer Particles Containing Luminescent Ions Embedded in Media

LAI Chang; XIA Shang-da; DUAN Chang-kui

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Probability Distribution of Luminescence Lifetime of Nanometer Particles Containing Luminescent Ions Embedded in Media

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- Probability Distribution of Luminescence Lifetime of Nanometer Particles Containing Luminescent Ions Embedded in Media
- Chinese Journal of Luminescence Vol. 28, Issue 3, Pages: 313-316(2007)
- 作者机构：
  
  1. 中国科学技术大学, 物理系
  2. 重庆邮电大学, 现代物理研究所重庆,400065
- 作者简介：
- 基金信息：
- DOI：
  CLC： O482.31
- Published：20 May 2007，
  
  Received：18 August 2006，
  
  Revised：25 October 2006，
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赖昌, 夏上达, 段昌奎. 介质中含孤立发光中心的纳米粒子的辐射寿命概率分布[J]. 发光学报, 2007,28(3): 313-316

LAI Chang, XIA Shang-da, DUAN Chang-kui. Probability Distribution of Luminescence Lifetime of Nanometer Particles Containing Luminescent Ions Embedded in Media[J]. Chinese Journal of Luminescence, 2007,28(3): 313-316
赖昌, 夏上达, 段昌奎. 介质中含孤立发光中心的纳米粒子的辐射寿命概率分布[J]. 发光学报, 2007,28(3): 313-316 DOI：

LAI Chang, XIA Shang-da, DUAN Chang-kui. Probability Distribution of Luminescence Lifetime of Nanometer Particles Containing Luminescent Ions Embedded in Media[J]. Chinese Journal of Luminescence, 2007,28(3): 313-316 DOI：

摘要

含发光中心的纳米粒子在介质中随机分布

造成局域介质相对折射率的随机分布

导致了纳米粒子辐射寿命的涨落.分析纳米粒子数量在线度为发射光波长量级的体积内的概率密度

由此得出局域介质相对折射率的概率密度.通过纳米粒子辐射寿命对折射率的依赖关系

得到纳米粒子辐射寿命概率密度的解析表达.在此基础上

分析了Meltzer等人的实验中

含Eu

离子的Y

粒子在甲醇溶液中辐射寿命的相对偏移量的涨落

并得出辐射寿命的不确定度(均方差)与纳米粒子体积、体积密度等物理量的关系.

Abstract

Spontaneous emission rate is not only affected by the properties of the material itself

but also depends on the dielectric properties of the surrounding media. Recently

some work has been carried out to study the dependence of spontaneous emission rates of the luminescent-ion-containing nanometer particles on the refractive index of the media. Based on the free distribution of nanometer particles in media

the pro-bability density of luminescent lifetime is analyzed. Since nanometer particles distribute freely in media

the number of nanometer particles in a given volume surrounding the luminescent center obeys the Poission distribution. The local relative refractive index

which is the ratio of media effective refractive index to particle refractive index

is affected by the particle number of nanoparticles within a sphere of radius half of the radiative wavelength. The probability density function of

can be obtained according to the dependence of

on the particle number. Based on the relation between

and luminescence lifetime

the analytical form of probability density function of lifetime is obtained. A calculation has been done based on the parameters given in Meltzer's experiment (Eu

doped Y

in methanol). The result shows that the relative fluctuation of luminescence lifetime is too small to be observed. However

with increasing size of nanometer particles or density of nanometer particles

the relative fluctuation of lifetime increases greatly and could be observed.

关键词

纳米粒子折射率辐射寿命辐射寿命相对偏移量均方差

Keywords

nanometer particleluminescent lifetimelocal-field effectrefractive indexmean square deviation

references

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Yablonovitch E,Gmitter T J,Bhat R.Inhibited and enhanced spontaneous emission from optically thin AlGaAs/GaAs double heterostructures[J].Phys.Rev.Lett.,1988,61(22):2546-2549.

Duan Changkui,Reid M F,Wang Zhongqing.Local field effects on the radiative lifetime of emitters in surrounding media:Virtual-or real-cavity model?[J].Phy.Lett.A,2005,343(6):474-480.

Meltzer R S,Feofilov S P,Tissue B,et al.Dependence of fluorescence lifetimes of Y2O3:Eu3+ nanoparticles on the surrounding medium[J].Phys.Rev.B,1999,60(20):R14012-14015.

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