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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
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
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
3+
离子的Y
2
O
3
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.
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
n
r
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
n
r
can be obtained according to the dependence of
n
r
on the particle number. Based on the relation between
n
r
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
3+
doped Y
2
O
3
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.
纳米粒子折射率辐射寿命辐射寿命相对偏移量均方差
nanometer particleluminescent lifetimelocal-field effectrefractive indexmean square deviation
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