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The effect of the temperature and the rhodium percentage supported by zeolite on the acid base properties in Lewis terms of the various catalysts were studied. The dispersive component of the surface energy of Rh\/H-\u03b2-zeolite was calculated by using both the Dorris and Gray method and the straight-line method. We highlighted the role of the surface areas of n-alkanes on the determination of the surface energy of catalysts. To this aim various molecular models of n-alkanes were tested, namely Kiselev, cylindrical, Van der Waals, Redlich\u2013Kwong, geometric and spherical models. An important deviation in the values of the dispersive component of the surface energy $${\\gamma }_{s}^{d}$$<\/jats:tex-math>\n\n\u03b3<\/mml:mi>\n\ns<\/mml:mi>\n<\/mml:mrow>\nd<\/mml:mi>\n<\/mml:msubsup>\n<\/mml:math><\/jats:alternatives><\/jats:inline-formula> determined by the classical and new methods was emphasized. A non-linear dependency of $${\\gamma }_{s}^{d}$$<\/jats:tex-math>\n\n\u03b3<\/mml:mi>\n\ns<\/mml:mi>\n<\/mml:mrow>\nd<\/mml:mi>\n<\/mml:msubsup>\n<\/mml:math><\/jats:alternatives><\/jats:inline-formula> with the specific surface area of catalysts was highlighted showing a local maximum at 1%Rh. The study of RTlnVn<\/jats:italic> and the specific free energy \u2206G<\/jats:italic>sp<\/jats:italic><\/jats:sup>(T<\/jats:italic>) of n-alkanes and polar solvents adsorbed on the various catalysts revealed the important change in the acid properties of catalysts with both the temperature and the rhodium percentage. The results proved strong amphoteric behavior of all catalysts of the rhodium supported by H-\u03b2-zeolite that actively react with the amphoteric solvents (methanol, acetone, tri-CE and tetra-CE), acid (chloroform) and base (ether) molecules. It was shown that the Guttmann method generally used to determine the acid base constants K<\/jats:italic>A<\/jats:italic><\/jats:sub> and K<\/jats:italic>D<\/jats:italic><\/jats:sub> revealed some irregularities with a linear regression coefficient not very satisfactory. The accurate determination of the acid\u2013base constants K<\/jats:italic>A<\/jats:italic><\/jats:sub>, K<\/jats:italic>D<\/jats:italic><\/jats:sub> and K<\/jats:italic> of the various catalysts was obtained by applying Hamieh\u2019s model (linear regression coefficients approaching r<\/jats:italic>2<\/jats:sup> \u2248 1.000). It was proved that all acid base constants determined by this model strongly depends on the rhodium percentage and the specific surface area of the catalysts.<\/jats:p>","DOI":"10.1038\/s41598-020-78071-1","type":"journal-article","created":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T11:05:07Z","timestamp":1606820707000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":54,"title":["New approach to determine the surface and interface thermodynamic properties of H-\u03b2-zeolite\/rhodium catalysts by inverse gas chromatography at infinite dilution"],"prefix":"10.1038","volume":"10","author":[{"given":"Tayssir","family":"Hamieh","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ali","family":"Ali Ahmad","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Thibault","family":"Roques-Carmes","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joumana","family":"Toufaily","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,12,1]]},"reference":[{"issue":"9","key":"78071_CR1","doi-asserted-by":"publisher","first-page":"1718","DOI":"10.1023\/B:PHAM.0000041470.92345.e8","volume":"21","author":"AHL Chow","year":"2004","unstructured":"Chow, A. 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