Physical adsorption of gases on energetically heterogeneous solids II. Theoretical extension of a generalizedLangmuir equation and its application for analysing adsorption data

The generalizedLangmuir equation proposed in part I is extended to monolayer adsorption with lateral interactions and to multilayer adsorption on heterogeneous surfaces with random distribution of adsorption sites. New differential functions, useful for interpreting the adsorption data, are introduced to study the mathematical and physical properties of this equation. These functions are applied to study three gas adsorption systems available from the literature.

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Gasadsorption auf energetisch heterogenen Feststoffen, 2. Mitt.: Die theoretische Erweiterung einer generalisierten Langmuir-Gleichung und ihre Anwendung zur Analyse von Adsorptionsdaten

Zusammenfassung Die generalisierteLangmuir-Gleichung, die in der 1. Mitt. beschrieben wurde, wird für die einlagige Adsorption mit lateralen Wechselwirkungen und für die viellagige Adsorption auf heterogenen Oberflächen mit einer Zufallsverteilung von Adsorptionsplätzen erweitert. Es werden neue Differentialfunktionen zur Untersuchung der mathematischen und physikalischen Eigenschaften dieser Gleichung eingeführt, die sich als fruchtbringend zur Interpretation von Adsorptionsdaten erweisen. Diese Funktionen werden zur Untersuchung von drei Gasadsorptionssystemen aus der Literatur herangezogen.

     

Statistical thermodynamics of adsorption from multicomponent liquid mixtures on heterogeneous solid surfaces

The statistical thermodynamics of adsorption from multicomponent liquid mixtures on heterogeneous solid surfaces is discussed by assuming the cell adsorption model and ideal adsorbed phase.Two integral representations for the adsorption isotherm are proposed: one based onn-dimensional energy distribution function (i.e., each adsorption site is characterized by adsorption energies of all components), and the other based on distribution of differences of adsorption energies ofn-1 components in relation to adsorption energy of the chosen component (i.e., each adsorption site is characterized byn-1 differences of adsorption energies of the components in relation to adsorption energy of the chosen component).The expressions for differential adsorption heat for adsorption from binary liquid mixtures have been derived from both integral equations.

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Statistische Thermodynamik der Adsorption aus flüssigen Mehrkomponentenmischungen auf heterogenen festen Oberflächen

Zusammenfassung Die statistische Thermodynamik der Adsorption von aus mehreren Komponenten bestehenden flüssigen Mischungen auf heterogenen festen Oberflächen wird für das Modell der Zellenadsorption bei ideal adsorbierter Phase diskutiert.Zwei Integraldarstellungen der Adsorptionsisotherme werden vorgeschlagen: eine auf einen-dimensionale Verteilungsfunktion der Energie gestützte (das heißt, jede Adsorptionsstelle wird durch Adsorptionsenergien von allen Komponenten charakterisiert); die andere basiert auf der Verteilung der Unterschiede von Adsorptionsenergien dern-1-Komponenten in bezug auf die Adsorptionsenergie der ausgewählten Komponente (das heißt, jede Adsorptionsstelle wird durchn-1-Unterschiede charakterisiert. Formeln für differentiale Adsorptionswärmen für die Adsorption aus binären flüssigen Mischungen sind von beiden Integral-Gleichungen abgeleitet worden.

     

Geometric Properties of Symmetric Spaces with Applications to Orlicz–Lorentz Spaces

We deal with the basic convexity properties –rotundity, and uniform, local uniform and full rotundity –- for symmetric spaces. A characterization of Orlicz–Lorentz spaces with the Kadec–Klee property for pointwise convergence is given. These results are applied to obtain criteria of convexity properties for Orlicz–Lorentz sequence spaces, and some new proofs of the sufficiency part of criteria for rotundity and uniform rotundity for Orlicz–Lorentz function spaces.     

A note on Peano’s Theorem on time scales

In this paper we investigate the dynamic Cauchy problem in Banach spaces. We check how dense a time scale must be in such a way that Peano’s Theorem holds and we present a counterexample to Peano’s Theorem on a time scale with only one right dense point.     

Mössbauer and X-ray diffraction studies of mechanically alloyed Fe-Al

Powder samples of Fe₂₅Al₇₅ were prepared by the mechanical alloying method. Mössbauer effect, X-ray diffraction and DSC measurements indicate that Fe and Al crystalline powder transform into Fe-Al amorphous powder with increasing milling time. The X-ray diffraction patterns of the milled Fe₂₅Al₇₅ do not clearly show a sign of the existence of the intermetallic phases or Fe-Al solid solution. However, Mössbauer measurements reveal two sites with hyperfine magnetic fields 30.2 and 26.0 T. These sites form locally during the milling process and then they disappear.     

改进的石墨烯基材料用作菜籽油转酯化反应制生物柴油的有效催化剂（英文）

本文研究了不同石墨烯基材料用作转酯化反应制备生物柴油催化剂的性能.将磺酸基或磷酸盐基嫁接到热还原的氧化石墨烯表面,制备了固体酸石墨烯基样品.并采用扫描电镜、X射线衍射、热重分析、X射线光电子能谱、N_2吸附-脱附法、电位滴定法、元素分析以及红外光谱法对所制样品进行了全面表征.将所制样品用于130℃带压力的条件下菜籽油与甲醇转酯化反应中,并将其催化活性与商用的多相酸催化剂Amberlyst-15的进行了比较.结果表明,所有改进的样品在转酯化反应中均表现出催化活性,但各样品上生物柴油产率差别较大.其中以苯二氮磺酸基功能化的热还原氧化石墨烯样品上脂肪酸甲酯产率最高,反应6 h后达70%,也明显高于商用催化剂Amberlyst-15.该样品也表现出良好的重复使用性能.     

Synthesis of trifluoromethylated azines via nucleophilic oxidative substitution of hydrogen by trifluoromethyl carbanions

A novel, three-step method of trifluoromethylation of azines via oxidative nucleophilic substitution of hydrogen in the heteroaromatic ring by a CF3- carbanion is presented. The key reaction of this process is the addition of the CF3- carbanion, generated by treatment of Me3SiCF3 with KF(s) and Ph3SnF catalyst, to N-alkylazinium salts. The resulting dihydroazines containing a trifluoromethyl group are relatively stable compounds and can be isolated in a pure form. Deprotection of the N-p-methoxybenzyl substituent and aromatization of the heterocyclic ring upon treatment with CAN provides azines with a CF3 group in the ring position originally occupied by hydrogen. The whole process can be thus considered as a nucleophilic oxidative displacement of hydrogen by a CF3- carbanion.