Boltzmann's formula S = In(W(E) defines the microcanonical ensemble. The usual textbooks on statistical mechanics start with the microensemble but rather quickly switch to the canonical ensemble introduced by Gibbs. This has the main advantage of easier analytical calculations, but there is a price to pay -- for example, phase transitions can only be defined in the thermodynamic limit of infinite system size. The question how phase transitions show up from systems with, say, 100 particles with an increasing number towards the bulk can only be answered when one finds a way to define and classify phase transitions in small systems. This is all possible within Boltzmann's original definition of the microcanonical ensemble. Starting from Boltzmann's formula, the book formulates the microcanonical thermodynamics entirely within the frame of mechanics. This way the thermodynamic limit is avoided and the formalism applies to small as well to other nonextensive systems like gravitational ones. Phasetransitions of first order, continuous transitions, critical lines and multicritical points can be unambiguously defined by the curvature of the entropy S(E, N). Special attention is given to the fragmentation of nuclei and atomic clusters as a peculiar phase transition of small systems controlled, among others, by angular momentum. The dependence of the liquid-gas transition of small atomic clusters under prescribed pressure is treated. Thus the analogue to the bulk transition can be studied. New insights into the many facets of the many-body physics of the critical point are presented. The book also describes the microcanonical statistics of the collapse of a self-gravitating system under large angular momentum.
This mini-encyclopedia contains more than 1,500 alphabetical entries from the entire field of peptide science in one handy volume, as well as the technical terms, acronyms and concepts used in peptide chemistry. It also features the complete sequence of more than 800 peptides, numerous illustrations and numerous cross-references. Areas covered include: - biological peptides and small proteins - peptide hormones - pharmaceutical peptides - peptide antibiotics - peptide inhibitors - peptide reagents - peptide tags - structural classes - synthesis and purification - analytical methods - proteomics and peptidomics. Condensed yet accessible, only essential information is displayed, extensively linked via references to the recent scientific literature for further study.
This book explores one of the most notorious aspects of the German system of oppression in wartime Poland: the only purpose-built camp for children under the age of 16 years in German-occupied Europe. The camp at Przemysłowa street, or the Polen-Jugendverwahrlager der Sicherheitspolizei in Litzmannstadt as the Germans called it, was a concentration camp for children. The camp at Przemysłowa existed for just over two years, from December 1942 until January 1945. During that time, an unknown number of children, mainly Polish nationals, were imprisoned there and subjected to extreme physical and emotional abuse. For almost all, the consequences of atrocities which they endured in the camp remained with them for the rest of their lives. This book focuses on the establishment of the camp, the experience of the child prisoners, and the post-war investigations and trials. It is based on contemporary German documents, post-war Polish trials and German investigations, as well as dozens of testimonies from camp survivors, guards, civilian camp staff and the camp leadership
Der "Sewald/Jakubke" ist und bleibt das einzige moderne, auf dem neuesten wissenschaftlichen Stand gehaltene fortgeschrittene Lehrbuch der Peptid-Biochemie! Auch für diese zweite, um ein Viertel erweitere Auflage haben die Autoren Hunderte von Publikationen gelesen und zu einem informativen und vollständigen Überblick über das Fachgebiet zusammengefasst. Nach einer Einführung in die Grundlagen der Peptidstruktur und -synthese werden die wichtigsten Familien biologisch aktiver Peptide systematisch abgehandelt. Mit interdisziplinärem Anspruch werden dann wichtige Anwendungen aus der Biotechnologie, Pharmazie und Biomedizin besprochen. Selbstverständlich werden auch Themen der Spitzenforschung berücksichtigt, zum Beispiel Pseudopeptide, Peptidmimetika und Aspekte der kombinatorischen Synthese. -- Neu in dieser Auflage sind Fragen und Übungsaufgaben, die das Nacharbeiten von Vorlesungen oder das Selbststudium erleichtern.
This volume C 1 is the first supplement volume to "Phosphor" C which was published in 1965 and covers the compounds of phosphorus. Starting with the binary species formed between phosphorus and hydrogen, the present volume deals with the neutral mononuclear compounds PH through PH ; the ions featuring the same stoichiometric composition are s covered in separate sections. PH and PH are the major initial gaseous decomposition products of PH and, thus, also 2 J intermediates in many of its gas-phase reactions. Both molecules and their ions have been thoroughly investigated by a variety of modern, high-resolution spectroscopic methods during the last three decades. The coverage of their physical, and mostly molecular, properties re presents the largest part of the first two chapters (PH and ions pp. 2 to 47; PH and ions pp. 47 2 to 111). PH is the only compound described in this volume which is thermally stable under normal J conditions. It is the phosphorus analog of ammonia, but exhibits, however, a quite different chemical behavior towards most elements and compounds. The majority of its physical, and in particular spectroscopic, properties have been determined in great detail since the sixties, partially in regard to spectroscopic investigations of the atmospheres of the outer planets.
This fifth volume of the first supplement supplying the Main Volumes of the series Perfluorohalogenoorgano Compounds of Main Group Elements, Part 1 to 9, starts the treatment of the aliphatic and aromatic perfluorohalogenoorgano compounds of nitrogen. Amines, amides, imines, aminooxy derivatives, nitro- and nitroso compounds as well as azides, hydrazines and diazenes among others are described.
Market: Cardiologists, Vascular Specialists, Vascular Surgeons, Hematologists, Internists, Family Physicians, Rheumatologists More than 500 color charts and tables Includesw an entire section on diagnostic imaging modalities
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