Probleme,Methoden, Analysen- und Meßverfahren im nuklearen Umweltschutz

Es werden die wesentlichsten Probleme und Aufgaben des Umweltschutzes hinsichtlich der verschiedenen Komponenten der natürlichen und zivilisatorischen Strahlenbelastung, die Überwachung auf Radioaktivität als Folge der Kernwaffenversuche und die Umgebungsüberwachung von Kernanlagen beschrieben.

Es wird ein Überblick über die verschiedenen Bestimmungsmethoden der Radionuklide, die Schritte der Probenaufbereitung, die zur Alpha-, Beta- und Gammamessung verwendeten Verfahren sowie die Meßwertverarbeitung gegeben.     

Eine Methode der 90Sr-45Ca-Simultanbestimmung

Von den radioaktiven Falloutprodukten ist das ⁹⁰Sr bei weitem das gefährlichste, da es von den Pflanzen und Tieren wegen seiner chemischen Verwandtschaft zum Calcium wie dieses im Organismus eingebaut wird und auf dem Wege der Verteilerkette Boden–Pflanze–Tier–Mensch schließlich auch im menschlichen Organismus eingebaut wird.     

Divisibility among power GCD matrices and among power LCM matrices on three coprime divisor chains

Let h be a positive integer and S?=?{x ₁,?…?,?x _h } be a set of h distinct positive integers. We say that the set S is a divisor chain if x _σ(1) ∣?…?∣ x _σ(h) for a permutation σ of {1,?…?,?h}. If the set S can be partitioned as S?=?S ₁?∪?S ₂?∪?S ₃, where S ₁, S ₂ and S ₃ are divisor chains and each element of S _i is coprime to each element of S _j for all 1?≤?i?<?j?≤?3, then we say that the set S consists of three coprime divisor chains. The matrix having the ath power (x _i , x _j ) ^a of the greatest common divisor of x _i and x _j as its i, j-entry is called the ath power greatest common divison (GCD) matrix on S, denoted by (S ^?a ). The ath power least common multiple (LCM) matrix [S ^?a ] can be defined similarly. In this article, let a and b be positive integers and let S consist of three coprime divisor chains with 1?∈?S. We show that if a?∣?b, then the ath power GCD matrix (S ^?a ) (resp., the ath power LCM matrix [S ^?a ]) divides the bth power GCD matrix (S ^?b ) (resp., the bth power LCM matrix [S ^?b ]) in the ring M _h (Z) of h?×?h matrices over integers. We also show that the ath power GCD matrix (S ^?a ) divides the bth power LCM matrix [S ^?b ] in the ring M _h (Z) if a?∣?b. However, if a???b, then such factorizations are not true. Our results extend Hong's and Tan's theorems and also provide further evidences to the conjectures of Hong raised in 2008.     

Remarks on the speed of convergence of mixing coefficients and applications

We study dependence coefficients for copula-based Markov chains. We provide new tools to check the convergence rates of mixing coefficients of copula-based Markov chains. We apply results to the Metropolis–Hastings algorithm. A necessary condition for symmetric copulas is given and mixtures of copulas are studied.     

Controlled Microstructuring of Janus Particles Based on a Multifunctional Poly(ethylene glycol)

A novel water insoluble, multifunctional poly(ethylene glycol), poly(hydrazide ethylene glycol‐co‐benzyl glycidyl ether) (P(HZ‐co‐BnGE)), is synthesized via thiol‐ene click reaction of poly(allyl glycidyl ether‐co‐benzyl glycidyl ether) (P(AGE‐co‐BnGE)). The base polymer P(AGE‐co‐BnGE) is previously prepared by anionic ring‐opening copolymerization of the corresponding monomers. To demonstrate utility, bicompartmental microspheres and microcylinders containing P(HZ‐co‐BnGE) in one of the compartments are prepared via electrohydrodynamic (EHD) co‐jetting. Next, spatially controlled surface reactivity toward sugars is demonstrated by selective binding of 2α‐mannobiose to the P(HZ‐co‐BnGE) compartment only, as confirmed by a carbohydrate‐lectin‐binding assay. These sugar‐reactive hydrazide‐presenting microparticles have potential applications for glyco‐targeted drug delivery.

     

The Viscosity Law of Dendronized Linear Polymers

The intrinsic viscosity [η] of dendronized linear macromolecules dissolved in thermodynamically good solvents depends both on chain length that is contour length L_c of the backbone of the polymer and on the persistence length l_p. Investigating a set of samples of identical L_c but differing in the generation number for which data on l_p are available, it becomes possible to establish a generalized viscosity law in the form [η] = K(M/M_p)^α in which M_p denotes the molar mass of the objects per l_p, M is the total molar mass, K is a constant, and α is the Mark–Howink exponent, which is found to be 0.55.

     

Optimisation of self-similar factor approximants

The problem is analysed for extrapolating power series, derived for an asymptotically small variable, to the region of finite values of this variable. The consideration is based on the self-similar approximation theory. A new method is suggested for defining the odd self-similar factor approximants by employing an optimisation procedure. The method is illustrated by several examples having the mathematical structure typical of the problems in statistical and chemical physics. It is shown that the suggested method provides a good accuracy even when the number of terms in the perturbative power series is small.     

瞬发超临界系统内持续裂变链的发展过程

根据基本的概率理论和瞬发临界附近有限裂变链的发展规律, 推导了单脉冲源条件下脉冲堆引发持续裂变链过程中的中子数与时间关系式, 并得到CFBR-Ⅱ堆上实验的验证. 该关系式进一步发展了Hansen理论模型, 除了可以描述裂变链后期的发展趋势, 还可以描述持续裂变链产生初期中子数的快速增长行为. 讨论了引发时间与源强的关系, 指出在弱源条件下, 引发时间几乎不依赖于源强. 关键词： 持续裂变链 脉冲堆 引发时间