Interpolation of Classical Lorentz Spaces1

We describe the K-functional and identify the real interpolated spaces of general quasi–Banach couples of classical Lorentz spaces. Applications are given which include interpolation of spaces of Lorentz–Zygmund type.     

The Synthesis and Crystal Structure of Hg3TeI4

The structure of cubic Hg₃TeI₄ was determined from powder data. The four positions of the cubic closestpacking of the anions are statistically occupied by 0.8 Te-atoms and 3.2 I-atoms. The two types of tetrahedral holes are occupied to the extent of 2/4 and 0.4/4, respectively, by Hg-atoms. With an ordered model of lower symmetry, the stoichiometric composition can be explained and a homogeneous charge distribution can be achieved. The ordered model contains regions of the structure of red HgI₂, which are connected by fragments of the SiS₂-type.     

Study of liquid crystal space groups using controlled tilting with cryogenic transmission electron microscopy

We developed a method that enables differentiation between liquid crystalline-phase particles corresponding to different space groups. It consists of controlled tilting of the specimen to observe different orientations of the same particle using cryogenic transmission electron microscopy. This leads to the visualization of lattice planes (or reflections) that are present for a given structure and absent for the other one(s) and that give information on liquid crystalline structures and their space groups. In particular, we show that we can unambiguously distinguish among particles having the inverted micellar cubic (space group Fd(3)m, 227), the inverted bicontinuous gyroid (space group Ia(3)d, 230), the inverted bicontinuous diamond (space group Pn(3)m, 224), and the inverted bicontinuous primitive cubic structure (space group Im(3)m, 229).     

Methanol – die Basischemikalie

Today methanol is produced from synthesis gas derived from coal and natural gas. However carbon dioxide and hydrogen obtained from water electrolysis with renewable energy have the potential to play a leading role as fuel, energy raw material and chemical feedstock. As a liquid energy storage system it can be used to easily transport electric power conserved in chemical bonds with unparalleled efficiency. Homologisation making use of the Mobil zeolite processes (MTG, MTO, MTA) for instance, or via the methanol derived platform chemicals methyl formate and dimethyl ether, the majority of organic chemicals established in chemical industry is available. Through its diverse of applications methanol has the potential to substitute crude oil and natural gas as the leading feedstock for organic chemicals.     

Zur Entstehung von Oberflächenladungen im Zusammenhang mit Ionentransport- und Sekundärelektronenemissionserscheinungen

Surface charges at the glassy or metallized but isolated inner walls of differently sized diodes are investigated as dependent upon different conditions (vacuum, inner geometry, electric operational conditions). For this purpose, a special condenser discharge method is used which gives the opportunity to study under well known conditions the temporal behaviour of those surface charges caused by electrical fields from outside the tube changing with time. One gets informations concerning the transport of positive ions and of electrons within such tubes in respect to the different kinds of wall material. The conditions are given for origin and maintenance of a stable positive wall potential above 150 V. In this case, the ratio of the electron current from the cathode to the wall and to the anode respectively comes out as ascending from 0.3 to 0.7 for a variation of the anode current from 200 to 900 μA, as one finds by comparing observations of a desorption effect stimulated by the electron current to the wall.