This open access book presents a thorough look at tortuosity and microstructure effects in porous materials. The book delivers a comprehensive review of the subject, summarizing all key results in the field with respect to the underlying theories, empirical data available in the literature, modern methodologies and calculation approaches, and quantitative relationships between microscopic and macroscopic properties. It thoroughly discusses up to 20 different types of tortuosity and introduces a new classification scheme and nomenclature based on direct geometric tortuosities, indirect physics-based tortuosities, and mixed tortuosities (geometric and physics-based). The book also covers recent progress in 3D imaging and image modeling for studying novel aspects of tortuosity and associated transport properties in materials, while providing a comprehensive list of available software packages for practitioners in the community. This book is a must-read for researchers and students in materials science and engineering interested in a deeper understanding of microstructure–property relationships in porous materials. For energy materials in particular, such as lithium-ion batteries, tortuosity is a key microstructural parameter that can greatly impact long-term material performance. Thus, the information laid out in this book will also greatly benefit researchers interested in computational modeling and design of next-generation materials, especially those for sustainability and energy applications.

Lasers are progressively more used as versatile tools for fabrication purposes. The wide range of available powers, wavelengths, operation modes, repetition rates etc. facilitate the processing of a large spectrum of materials at exceptional precision and quality. Hence, manifold methods were established in the past and novel methods are continuously under development. Biomimetics, the translation from nature-inspired principles to technical applications, is strongly multidisciplinary. This field offers intrinsically a wide scope of applications for laser based methods regarding structuring and modification of materials. This book is dedicated to laser fabrication methods in biomimetics. It introduces both, a laser technology as well as an application focused approach. The book covers the most important laser lithographic methods and various biomimetics application scenarios ranging from coatings and biotechnology to construction, medical applications and photonics.

This monograph describes the theory and practice of electron spectrometry using synchrotron radiation. The book is in three parts. After a short review of background theory, neon is used to elucidate the principles of the photoelectron and Auger spectra. The second part of the book looks at experimental aspects, including characteristic features of electrostatic analysers, detectors, lenses, disturbances, and optimisation, and then illustrates theory and experiment with details of recent experiments. The third part provides useful reference data, including wavefunctions, special theory, polarisation and special aspects of instrumentation. A detailed reference list completes the volume. The study of electron spectrometry using synchrotron radiation is a growing field of research driven by the increasing availability of advanced synchrotron radiation light sources and improved theoretical methods for solving the many-electron problem in atoms. This balanced account will be of value to both theorists and experimentalists working in this area.

Lasers are progressively more used as versatile tools for fabrication purposes. The wide range of available powers, wavelengths, operation modes, repetition rates etc. facilitate the processing of a large spectrum of materials at exceptional precision and quality. Hence, manifold methods were established in the past and novel methods are continuously under development. Biomimetics, the translation from nature-inspired principles to technical applications, is strongly multidisciplinary. This field offers intrinsically a wide scope of applications for laser based methods regarding structuring and modification of materials. This book is dedicated to laser fabrication methods in biomimetics. It introduces both, a laser technology as well as an application focused approach. The book covers the most important laser lithographic methods and various biomimetics application scenarios ranging from coatings and biotechnology to construction, medical applications and photonics.

This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g. in materials science, biology and genetics. This book has a strong focus on simulations and includes extensive codes in Matlab and R which are widely used in the mathematical community. It can be seen as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields were considered with a focus on asymptotic methods.

This open access book presents a thorough look at tortuosity and microstructure effects in porous materials. The book delivers a comprehensive review of the subject, summarizing all key results in the field with respect to the underlying theories, empirical data available in the literature, modern methodologies and calculation approaches, and quantitative relationships between microscopic and macroscopic properties. It thoroughly discusses up to 20 different types of tortuosity and introduces a new classification scheme and nomenclature based on direct geometric tortuosities, indirect physics-based tortuosities, and mixed tortuosities (geometric and physics-based). The book also covers recent progress in 3D imaging and image modeling for studying novel aspects of tortuosity and associated transport properties in materials, while providing a comprehensive list of available software packages for practitioners in the community. This book is a must-read for researchers and students in materials science and engineering interested in a deeper understanding of microstructure–property relationships in porous materials. For energy materials in particular, such as lithium-ion batteries, tortuosity is a key microstructural parameter that can greatly impact long-term material performance. Thus, the information laid out in this book will also greatly benefit researchers interested in computational modeling and design of next-generation materials, especially those for sustainability and energy applications.

Die Fachliteratur liber zufallige Punktprozesse und deren Anwendungen hat in den letzten Jahrzehnten stark zugenommen. Die Anzahl der Lehrbiicher dagegen ist minimal, und zum Teil von speziellem Charakter, z. B. durch Beschrankung auf die reelle Achse oder auf den Martingalzugang fUr Punktprozesse. (So wie hier werden wir, wenn keine Mifiverstandnisse auftreten konnen, oft nur kurz von "Punktprozessen" sprechen und damit "zufallige Punktprozesse" meinen. ) Wir mochten hiermit eine EinfUhrung in wesentliche Teile der Theorie mar- kierter Punktprozesse im mehrdimensionalen Raum fUr mathematisch sowie an Anwendungen interessierte Leser anbieten, die Kenntnisse in der Wahrscheinlich- keitstheorie mit ihrem mafi- und mengentheoretischen Aufbau besitzen. Einige benotigte Grundbegriffe der Mafitheorie werden wir jedoch erklaren; denn unser Hauptzugang zu Punktprozessen ist derjenige liber Zahlmafie, der auf der Proze- dur des Zahlens zufalliger Anzahlen von Punkten in fest vorgegebenen Intervallen oder Mengen basiert. Die Darstellung von Punktprozessen als Folgen von Punkten ergibt sich aber von selbst. U nd fUr Punktprozesse auf der reellen Achse werden wir noch weitere Darstellungsformen, z. B. als Folgen von Intervallen, darlegen. Leser, denen Poisson-, Cox-, Erneuerungs-, Cluster- und semi-markowsche Prozesse auf der reellen Achse vertraut sind, finden in unserem Buch u. a. die De- finition und Darstellung dieser und weiterer Prozesse aus der einheitlichen Sicht des Punktprozefizuganges. Vorkenntnisse liber die genannten Prozefiklassen wer- den jedoch nicht vorausgesetzt.

This monograph describes the theory and practice of electron spectrometry using synchrotron radiation. The book is in three parts. After a short review of background theory, neon is used to elucidate the principles of the photoelectron and Auger spectra. The second part of the book looks at experimental aspects, including characteristic features of electrostatic analysers, detectors, lenses, disturbances, and optimisation, and then illustrates theory and experiment with details of recent experiments. The third part provides useful reference data, including wavefunctions, special theory, polarisation and special aspects of instrumentation. A detailed reference list completes the volume. The study of electron spectrometry using synchrotron radiation is a growing field of research driven by the increasing availability of advanced synchrotron radiation light sources and improved theoretical methods for solving the many-electron problem in atoms. This balanced account will be of value to both theorists and experimentalists working in this area.