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Brus equation : ウィキペディア英語版
Brus equation
The Brus equation can be used to describe the emission energy of quantum dot semiconductor nanocrystals (such as CdSe nanocrystals) in terms of the band gap energy ''E''gap, Planck's constant ''h'', the radius of the quantum dot ''r'', as well as the effective mass of the excited electron ''m''e
* and of the electron hole ''m''h
*.
The radius of the quantum dot affects the wavelength of the emitted light due to quantum confinement, and this equation describes the effect of changing the radius of the quantum dot on the wavelength λ of the emitted light (and thereby on the emission energy Δ''E'' = ''hc''/λ, where c is the speed of light). This is useful for calculating the radius of a quantum dot from experimentally determined parameters.
The overall equation is
:\Delta E(r) = E_\mathrm + \frac \left(1/m_\mathrm^
* + 1/m_\mathrm^
*\right) .
''E''gap, ''m''e
*, and ''m''h
* are unique for each nanocrystal composition.
For example, with CdSe nanocrystals:
:''E''gap (CdSe) = 1.74 eV = 2.8·10−19 Joules,
:''m''e
* (CdSe) = 0.13 ''m''e = 1.18·10−31 kg,
:''m''h
* (CdSe) = 0.45 ''m''e = 4.09·10−31 kg.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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