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词汇 Langmuir equation
分类 英语词汇 英语翻译词典
释义

Langmuir equation

中文百科

朗缪尔方程

朗缪尔等温线。从蓝、红、绿到棕，常数值不断增加

朗缪尔方程（英语：Langmuir equation，亦称为朗缪尔等温线、朗缪尔吸附方程或兰牟而方程序或希尔-朗缪尔方程）创建了在一定温度下分子在固体表面的覆盖范围或吸附情况与固体表面之上介质的气压或浓度之间的关系。此方程由欧文·朗缪尔于1916年创建。此方程表达为：

\theta =\frac{\alpha \cdot P}{1+\alpha \cdot P}

\theta是表面覆盖范围分数，P是气体压力或浓度，\alpha为常数。

常数\alpha即为朗缪尔吸附常数并且随着吸附结合能的增加或温度的减少而增加。

英语百科

Langmuir adsorption model 朗缪尔方程

Fig 1. A schematic showing equivalent sites, occupied (blue) and unoccupied (red) clarifying the basic assumptions used in the model. The adsorption sites (heavy dots) are equivalent and can have unit occupancy. Also, the adsorbates are immobile on the surface.
An example plot of the surface coverage θA = P/(P+P0) with respect to the partial pressure of the adsorbate. P0 = 100mtorr. The graph shows levelling off of the surface coverage at pressures higher than P0.
Brunauer's model of multilayer adsorption, that is, a random distribution of sites covered by one, two, three, etc., adsorbate molecules.

The Langmuir adsorption model explains adsorption by assuming an adsorbate behaves as an ideal gas at isothermal conditions. At these conditions the adsorbate's partial pressure, p_A, is related to the volume of it, V, adsorbed onto a solid adsorbent. The adsorbent, as indicated in Figure 1, is assumed to be an ideal solid surface composed of series of distinct sites capable of binding the adsorbate. The adsorbate binding is treated as a chemical reaction between the adsorbate molecule A_{g} and an empty site, S. This reaction yields an adsorbed complex A_{ad} with an associated equilibrium constant K_{eq}
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