Photon statistics in saturated m-photon amplification and attenuation of coherent light

The change of photon statistics of a nearly coherent single-mode light beam travelling through a saturable m-photon-amplifying or absorbing medium (m = 1, 2, …) is theoretically investigated. With the help of an approximation scheme valid for $\text{n}$ ? 1, Δn² ? $\text{n}$² ($\text{n}$ mean value and Δn² variance of the photon number) an analytical expression is derived for the quantity Δn²/$\text{n}$. The results holds for arbitrary values of the initial population inversion and of the degree of saturation. It turns out that for both amplification and attenuation processes after sufficiently strong interaction Δn²/$\text{n}$ tends to an asymptotic value.     

The Influence of Multi-Photon Absorption on Photon Statistics

A previous approximation scheme [6] which allowed to calculate, in a simple manner, the quantity Δn²/n (n mean value and Δn² variance of the photon number) in the course of a multi-photon absorption process, is extended to study the change of the shape of the photon distribution, too. It turns out that there is a tendency to symmetrize the distribution. Moreover, an approximative expression for the asymptotic distribution to which the distribution tends after a sufficiently strong absorption, irrespective of the initial distribution, is found in form of a Gaussian.     

Ein röntgenographisches Verfahren zur Messung der Verteilungskurve der Gitterkonstanten und Netzebenenorientierungen an Einkristallen

An x-ray method is described, by which the distribution curve of the lattice parameters and the lattice orientations from the same area of a single crystal can be determined. The distribution curves are independent of the divergence of the x-ray beam and the range of wavelengths used. Their angular width for an ideal single crystal is of the order of seconds or arc. Some experimental results on copper single crystals are given.     

Synthese und Eigenschaften einiger Iodtrisilane

The syntheses and properties of the iodotrisilanes (IH₂Si)₂SiH₂, (IH₂Si)₂SiHI, I₃SiSiI₂SiH₃, (I₃Si)₂SiH₂ and Si₃I₈ are reported. All trisilanes were synthesized from the appropriate phenyltrisilanes and hydrogen iodide, with the exception of I₅Si₃H₃, which was prepared by thermolysis of I₃SiSiH₃. The ²⁹ Si-chemical shifts and ²⁹Si²⁹Si-coupling constants are reported. ab]Die Synthesen und Eigenschaften der Iodtrisilane (IH₂Si)₂SiH₂, (IH₂Si)₂SiHI, I₃SiSiI₂SiH₃, (I₃Si)₂SiH₂ und Si₃I₈ werden beschrieben. Bis auf I₅Si₃H₃, das während der Thermolyse von I₃SiSiH₃, entstand, wurden alle Iodtrisilane aus den entsprechenden Phenyltrisilanen mit Iodwasserstoff hergestellt. Die ²⁹Si-Verschiebungen und ²⁹Si²⁹Si-Kopplungskonstanten werden mitgeteilt.     

Synthesis and antimicrobial activity of N-analogous corollosporines

Corollosporine is an antimicrobial metabolite, which was isolated from the marine fungus Corollospora maritima. Owing to its basic 4-hydroxyphthalic acid anhydride structure, it has become an attractive target for a structure/activity relationship modelling of derived compounds with potential antibiotic activity. In this regard we report on the straightforward synthesis of hetero analogous corollosporines, which were easily prepared by a three-step reaction sequence, taking advantage of a novel multicomponent reaction (AAD-reaction) and a subsequent aromatization/Grignard reaction protocol. Furthermore, the obtained products were tested in several biological assays to evaluate their antimicrobial activity.     

Multipolar interactions in the D pocket of thrombin: large differences between tricyclic imide and lactam inhibitors

Two series of tricyclic inhibitors of the serine protease thrombin, imides (+/-)-1-(+/-)-8 and lactams (+/-)-9-(+/-)-13, were analysed to evaluate contributions of orthogonal multipolar interactions with the backbone C=O moiety of Asn98 to the free enthalpy of protein-ligand complexation. The lactam derivatives are much more potent and more selective inhibitors (K(i) values between 0.065 and 0.005 microM, selectivity for thrombin over trypsin between 361- and 1609-fold) than the imide compounds (Ki values between 0.057 and 23.7 microM, selectivity for thrombin over trypsin between 3- and 67-fold). The increase in potency and selectivity is explained by the favorable occupancy of the P-pocket of thrombin by the additional isopropyl substituent in the lactam derivatives. The nature of the substituent on the benzyl ring filling the D pocket strongly influences binding potency in the imide series, with Ki values increasing in the sequence: F < OCH2O < Cl < H < OMe < OH < N(pyr)< Br. This sequence can be explained by both steric fit and the occurrence of orthogonal multipolar interactions with the backbone C[double bond, length as m-dash]O moiety of Asn98. In contrast, the substituent on the benzyl ring hardly affects the ligand potency in the lactam series. This discrepancy was clarified by the comparison of X-ray structures solved for co-crystals of thrombin with imide and lactam ligands. Whereas the benzyl substituents in the imide inhibitors are sufficiently close (< or =3.5 Angstroms) to the C=O group of Asn98 to allow for attractive orthogonal multipolar interactions, the distances in the lactam series are too large (> or =4 Angstroms) for attractive dipolar contacts to be effective.     

Observation and destruction of an elusive adsorbate with STM: O₂/TiO₂(110)

When a slightly defective rutile TiO?(110) surface is exposed to O?at elevated temperatures, the molecule dissociates at defects, filling O vacancies (V(O)) and creating O adatoms (O(ad)) on Ti(5c) rows. The adsorption of molecular O? at low temperatures has remained controversial. Low-temperature scanning tunneling microscopy of O?, dosed on TiO?(110) at a sample temperature of ≈100 K and imaged at 17 K, shows a molecular precursor at V(O) as a faint change in contrast. The adsorbed O? easily dissociates during the STM measurements, and the formation of O(ad)'s at both sides of the original V(O) is observed.