During studying the
heat capacity of metals and brightening more than the original Lena’s image,
the temperature increasing term obtained in binomial expansion is transformed
into the adsorption increasing term and thereafter we have derived the total
adsorption rate equation with it. In the first layer the quantization does not
occur and from 2nd layer to nth layer the quantization occurs.
So as to get the total adsorption rate equation we add the quantized terms of
the second to nth layers to the non-quantized term of the first
layer. All terms are based on the unit surface sites. Instead of the unit
surface sites, the new adsorption site term appears in the denominator of the adsorption
equation. Hence the adsorption equations come out much better than BET
equation. The surface area is also calculated through the integration of the
adsorption isotherm equation excluding the first layer adsorption equation from
the inflection point to the wanted relative pressure.
References
[1]
Reif, F. (1985) Fundamentals of Statistical and Thermal Physics. McGraw-Hill Inc Ed. 1965, Chapter 1, 10-46.
[2]
Kim, D., Lee, Y. and Kim, T.-W. (2010) Article Title. New Physics: Sae Mulli (The Korean Physical Society), 60, 729-740.
[3]
Mathews, J.H. and Howell, R.W. (2001) Complex Analysis for Mathematics and Engineering. 4th Edition, Jones and Bartlett Publishers, Inc., Section 2-3, 62-69.
[4]
Kim, D. (2000) Statistical Condensation Adsorption Isotherms of Gas Molecules Adsorbed on Porous Adsorbents, Surface Monolayer Adsorption Isotherms and Hysteresis Phenomena. Korean Journal of Chemical Engineering, 17, 600-612. http://dx.doi.org/10.1007/BF02707174
[5]
Kim, D. and Choi, Y.S. (2011) Brightness of Lena’s Image for Various γ Values by Using Differentials of the Geometric Mean Heat Capacity Equations at Constant Volume. New Physics: Sae Mulli (The Korean Physical Society), 61, 248-255. http://dx.doi.org/10.3938/NPSM.61.248
[6]
Gregg, S.J. and Sing, K.S.W. (1969) Adorption, Surface Area and Porosity. Academic Press Inc. (Ltd.), Chapter 2, 53, 77.
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[9]
Jura, G. and Harkins, W.D. (1944) Surfaces of Solids. XI. Determination of the Decrease (π) of Free Surface Energy of a Solid by an Adsorbed Film. Journal of the American Chemical Society, 67, 1356-1362. http://dx.doi.org/10.1021/ja01236a046
[10]
Brunauer, S., Emmett, P.H. and Teller, E. (1938) J. of Amer. Chem. Soc., 90, 309-319.
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Caurie, M. (The Year after 1979) J. Food Sci.
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