Size Effect on The Local Density of States of Tb3+-Er3+ Down-conversion Pairs in &beta;-NaGdF4 Nanospheres

LIU Chun-xu

doi:10.3788/fgxb20133412.1579

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Size Effect on The Local Density of States of Tb³⁺-Er³⁺ Down-conversion Pairs in β-NaGdF₄ Nanospheres

更新时间：2020-08-12

- Size Effect on The Local Density of States of Tb³⁺-Er³⁺ Down-conversion Pairs in β-NaGdF₄ Nanospheres
- Chinese Journal of Luminescence Vol. 34, Issue 12, Pages: 1579-1584(2013)
- 作者机构：
  
  发光学及应用国家重点实验室中国科学院长春光学精密机械与物理研究所,吉林长春,130033
- 作者简介：
- 基金信息：
- DOI：10.3788/fgxb20133412.1579
  CLC： O482.31
- Received：10 October 2013，
  
  Revised：26 October 2013，
  
  Published：10 December 2013
- 稿件说明：
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刘春旭. β-NaGdF4纳米球中Tb3+-Er3+下转换对局域态密度的尺寸效应[J]. 发光学报, 2013,34(12): 1579-1584

LIU Chun-xu. Size Effect on The Local Density of States of Tb3+-Er3+ Down-conversion Pairs in β-NaGdF4 Nanospheres[J]. Chinese Journal of Luminescence, 2013,34(12): 1579-1584
刘春旭. β-NaGdF4纳米球中Tb3+-Er3+下转换对局域态密度的尺寸效应[J]. 发光学报, 2013,34(12): 1579-1584 DOI： 10.3788/fgxb20133412.1579.

LIU Chun-xu. Size Effect on The Local Density of States of Tb3+-Er3+ Down-conversion Pairs in β-NaGdF4 Nanospheres[J]. Chinese Journal of Luminescence, 2013,34(12): 1579-1584 DOI： 10.3788/fgxb20133412.1579.

摘要

以Span 80 为模板，采用水热法合成了不同尺寸（4.7~115.5 nm）的-NaGdF

：1%Tb

，1%Er

纳米晶（NCs）。在Rayleigh限（粒子尺寸小于跃迁波长）下，研究了纳米晶尺寸对局域态密度（Local density of states，LDOS）的影响以及镶嵌在-NaGdF

纳米球中的Tb

-Er

的辐射和无辐射特性，进一步揭示下转换过程的物理机制。基于Tb

-Er

处在 -NaGdF

纳米球中的模型，用Green函数方法计算了Tb

-Er

发射体的自发发射速率。在介电纳米球内，Tb

-Er

发射体的LDOS没有显著的变化。在小尺寸（

）介电纳米球外，按照Chew的理论，发现LDOS有一个类-Gauss分布。如果

35 nm（在本实验条件下），介电纳米球外则只能观测到LDOS 的下降边，LDOS与局域场强的平方

成正比，因而LDOS的类高斯分布出现的原因应归于小尺寸发射体与局域场相互作用的增强。通过计算纳米晶尺寸与体材料自发辐射速率的比值可直接确定纳米材料中的填充因子。

Abstract

The varisized samples (4.7~115.5 nm) of -NaGdF

:1%Tb

1%Er

nanocrystals (NCs) were synthesized by hydrothermal method using Span 80 as template. In Rayleigh limit (the size of the particle is comparability with the wavelength of the transition)

the influences of the NCs sizes on local density of states (LDOS)

radiation and nonradiation of Tb

-Er

spectral pairs embedded in -NaGdF

nanospheres were investigated

to reveal the physical mechanics of DC process further. Based on the Tb

-Er

spectral pair located at the center of a dielectric -NaGdF

nanosphere model

the spontaneous decay rate of Tb

-Er

emitter

as a probe of the LDOS

was calculated with the Green tensor approach. There is no significant variation of LDOS inside the nanospheres. For the small size (

) of NCs

a new Gauss's distribution-like of the LDOS was obtained by Chew's theory

for

35 nm (in our case) the descent side of the Gauss-like distribution of the LDOS was obtained. The LDOS is directly proportional to local field

thus the Gauss-like distribution of the LDOS can be attributed to the strong interaction between the small emitter and the local field. By calculating the ratio of spontaneous radiative rate of bulk medium and the size of NCs

the filling factors can be determined directly.

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Keywords

references

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⁰

Size Effect on The Local Density of States of Tb3+-Er3+ Down-conversion Pairs in β-NaGdF4 Nanospheres

DOI：10.3788/fgxb20133412.1579

摘要

Abstract

关键词

Keywords

references

Size Effect on The Local Density of States of Tb³⁺-Er³⁺ Down-conversion Pairs in β-NaGdF₄ Nanospheres