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玻尔半径

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Quantum dots are semiconductor nanocrystals with physical dimensions smaller than the exciton Bohr radius.

量子点是指半径小于或接近于激子玻尔半径的半导体纳米晶粒。

Bohr radius was the radius of the circle in which the electron moved in the ground state of the hydrogen atom, according to the Bohr theory.

根据玻尔理论,玻尔半径是在基态氢原子中电子运动的圆周半径。

Quantum dots are a kind of semiconductor nanopaticles with the radius equal to or less than the exciton Bohr radius. They have tremendous potential in the field of biology and medicine because of their unique and tunable optical properties (broad excitation spectrum, narrow emission spectrum, precise tunability of their emission peak and negligible bleaching, etc) as new fluoresent probes.

量子点是半径小于或接近于激子玻尔半径的一类半导体纳米晶,作为一种新型的荧光标记物,其独特和可调谐的光学特性(宽的激发光谱、窄的发射光谱、可精确调谐的发射波长以及可忽略的光漂白等)使其在生物和医学方面显示出巨大的应用潜力。

We also studied the resonant Raman-scattering in the ZnCdSe/ZnSe QWs with different well width, and found the Raman signal can be only observed in the QWs with width comparable to the Bohr radius of the excitons in the ZnCdSe QWs, which implies the strong correlation between the electrophonon interaction and the quantum confinement effect.

通过采用不同宽度的量子阱,我们研究了ZnCdSe/ZnSe单量子阱的共振喇曼散射特性,发现共振喇曼散射信号只在阱宽与激子玻尔半径相当的单量子阱中(5nm和2.5nm)才能观察到。

The 1s electron cloud in hydrogen atom has the largest probability density distribution around a spherical shell with Bohr radius a 0. The author thinks the probability density distribution and electron cloud belong in fact,to statistic regularity, and imply a macro-time scale is used, therefore in hydrogen molecule the product of energy and time is far larger than Planck Constant.

氢原子中 1s电子的电子云呈球形,电子的最大几率密度分布出现在玻尔半径a0 的球壳内,认为几率密度分布及电子云属统计规律,意味着已经使用了宏观时标,这样就使氢分子体系中能量和时间的作用量远大于普郎克常数;根据电子云的交叠,用经典力学计算了基态氢分子的结构常数,获得键长、键能及力常数的表达式分别为Re=2a0 ,De=ze/4 2a0 ,k=ze/2 2a30 ,采用原子单位 a 。u 。

The results indicate, the ground state energy increased quickly as the decrease of ZnO QD radius, when the radius decreased to the effective Bohr radius of ZnO exciton (aB=1.8nm), the ground state energy is 488meV higher than the conduction band bottom, about 8 times of binding energy of ZnO free exciton. When the radius is larger, the ground state energy inclined to a constant (under conductor bottom about 65meV), approximate the binding energy of the exciton in bulk crystal ZnO.

计算结果表明,激子的基态能随着粒径的减小而迅速增大,当粒径减小至ZnO的激子玻尔半径时,其基态能高出体相ZnO禁带宽度488meV,约为ZnO自由激子结合能的8倍,而当粒径较大时,其基态能比ZnO导带底低65meV,与ZnO自由激子的结合能基本一致。

Relation of hydrogenic impurity binding energy,effective Bohr a _ and virial theorem value and quantum dots size and studied variationally by using variational wave functions of containing two parameters.

选用含有2个变分参数的波函数,利用变分法计算了无限深球形量子点中施主杂质态的束缚能、杂质有效玻尔半径、维里定理值等随量子点尺度的变化关系。

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