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Henry adsorption constant
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Henry adsorption constant : ウィキペディア英語版
Henry adsorption constant
The Henry adsorption constant is the constant appearing in the linear adsorption isotherm, which formally resembles Henry's law; therefore, it is also called Henry's adsorption isotherm. It is named after British chemist William Henry. This is the simplest adsorption isotherm in that the amount of the surface adsorbate is represented to be proportional to the partial pressure of the adsorptive gas:〔H. Yıldırım Erbil, "Surface Chemistry of Solid And Liquid Interfaces", Blackwell Publishing, 2006.((google books) )〕
:X = K_H P
where:
* X - surface coverage,
* P - partial pressure,
* KH - Henry's adsorption constant.
For solutions, concentrations, or activities, are used instead of the partial pressures.
The linear isotherm can be used to describe the initial part of many practical isotherms. It is typically taken as valid for low surface coverages, and the adsorption energy being independent of the coverage (lack of inhomogeneities on the surface).
The Henry adsorption constant can be defined as:〔Zaskulnikov V. M., Statistical mechanics of fluids at a permeable wall: (arXiv:1111.0082 )〕
:K_H = \lim_ \frac,
where:
* \varrho(z) is the number density at free phase,
* \varrho_s is the surface number density,
== Application at a permeable wall〔 ==
If a solid body is modeled by a constant field and the structure of the field is such that it has a penetrable core, then
:
K_H = \int\limits_^ \big (\exp(-\beta u) - \exp(-\beta u_0) \big ) dx
- \int\limits_^ \big (1 - \exp(-\beta u) \big ) dx.

Here x' is the position of the dividing surface, u = u(x) is the external force field, simulating a solid, u_0 is the field value deep in the solid, \beta = 1/ k_B T, k_B is the Boltzmann constant, and T is the temperature.
Introducing "the surface of zero adsorption"
:
x_0 = - \int\limits_^ \widetilde(x) dx + \int\limits_^ \widetilde(x) dx,

where
:
\widetilde = \frac} = \frac \frac = \exp(-\beta u_0),

where \varrho(z') is the number density inside the solid, we arrive at the parametric dependence
:
K_H = \int\limits_^\big (k_H^ - k_H\big ) dx - \int\limits_^\big (1 - k_H^\big ) dx

where
:
\widetilde(x) = \frac.


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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