Analytical formulae connecting the "real" and the "apparent" nucleation rate and the nuclei number concentration for atmospheric nucleation events

Analytical formulae connecting the "real" and the "apparent" nucleation rate and the nuclei number concentration for atmospheric nucleation events
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DOI:
10.1016/s0021-8502(01)00194-x
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发表时间:
2002-04-01
影响因子:
4.5
通讯作者:
Kulmala, M
Kulmala, M
中科院分区:
环境科学与生态学3区
文献类型:
--
作者:
Kerminen, VM;Kulmala, M

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在“实际”大气成核速率和由于凝结而形成的团簇或核以较大尺寸出现的速率(“表观”成核速率)之间,推导出了一个简单但相对准确的分析公式。此外,还推导出了在一定尺寸范围内将成核速率与总核浓度联系起来的另一个解析式。导出的公式适用于以下情况:先前存在的粒径分布或导致原子核生长的蒸气浓度没有大的波动,并且原子核总数浓度保持足够低(< 10(5)-10(6)个原子核厘米(-3)),以防止原子核之间有效的自凝。在这些公式的帮助下,可以将显式成核方案包含在大气模型中,而不需要将模拟的颗粒直径范围扩展到1纳米。在现场测量中,目前只能确定“表观”成核速率。推导出的公式提供了一种将这一速率转化为“实际”成核速率的方法,使在大气条件下更严格地检验不同成核理论的可行性成为可能。(C) 2002 Elsevier Science Ltd.版权所有。
A simple yet relatively accurate analytical formula has been derived between the "real" atmospheric nucleation rate and the rate at which the resulting clusters, or nuclei, appear at some larger size (the "apparent" nucleation rate) as a result of their growth by condensation. In addition, another analytical formula was derived that connects the nucleation rate and the total nuclei concentration in a desired size range. The derived formulae arc applicable to situations in which there are no major fluctuations in the pre-existing particle size distribution or in the concentration of vapours responsible for the nuclei growth, and in which the total nuclei number concentration remains sufficiently low ( < 10(5)-10(6) nuclei cm(-3)) to prevent effective self-coagulation between the nuclei. With the help of these formulae, an explicit nucleation scheme can be included into an atmospheric model without the requirement that the modelled particle diameter range must be extended down to one nanometer. In field measurements only the "apparent" nucleation rate can currently be determined. The derived formulae provide a means to convert this rate to a "real" nucleation rate, making it possible to test more rigorously the viability of different nucleation theories under atmospheric conditions. (C) 2002 Elsevier Science Ltd. All rights reserved.