How do scientists impact society in the twenty-first century? Many scientists are increasingly interested in the impact that their research will have on the public. Scientists likewise must answer the question above when applying for funding from government agencies, particularly as part of the 'Broader Impacts' criterion of proposals to the US National Science Foundation. This book equips scientists in all disciplines to do just that, by providing an overview of the origins, history, rationale, examples, and case studies of broader impacts, primarily drawn from the author's experiences over the past five decades. Beyond including theory and evidence, it serves as a 'how to' guide for best practices for scientists. Although this book primarily uses examples from the NSF, the themes and best practices are applicable to scientists and applications around the world where funding also requires impacts and activities that benefit society.

Maple is a comprehensive symbolic mathematics application which is well suited for demonstrating physical science topics and solving associated problems. Because Maple is such a rich application, it has a somewhat steep learning curve. Most existing texts concentrate on mathematics; the Maple help facility is too detailed and lacks physical science examples, many Maple-related websites are out of date giving readers information on older Maple versions. This book records the author's journey of discovery; he was familiar with SMath but not with Maple and set out to learn the more advanced application. It leads readers through the basic Maple features with physical science worked examples, giving them a firm base on which to build if more complex features interest them.

For most of the history of scientific endeavour, science has been recorded on paper. In this digital era, however, there is increasing pressure to abandon paper in favour of digital tools. Despite the benefits, there are barriers to the adoption of such tools, not least their usability. As the relentless development of technology changes the way we work, we need to ensure that the design of technology not only overcomes these barriers, but facilitates us as scientists and supports better practice within science. This book examines the importance of record-keeping in science, current record-keeping practices, and the role of technology for enabling the effective capture, reuse, sharing, and preservation of scientific data. Covering the essential areas of electronic laboratory notebooks (ELNs) and digital tools for recording scientific data, including an overview of the current data management technology available and the benefits and pitfalls of using these technologies, this book is a useful tool for those interested in implementing digital data solutions within their research groups or departments. This book also provides insight into important factors to consider in the design of digital tools such as ELNs for those interested in producing their own tools. Finally, it looks at the role of current technology and then considers how that technology might develop in the future to better support scientists in their work, and in capturing and sharing the scientific record.

Replication, the independent confirmation of experimental results and conclusions, is regarded as the "gold standard" in science. This book examines the question of successful or failed replications and demonstrates that that question is not always easy to answer. It presents clear examples of successful replications, the discoveries of the Higgs boson and of gravity waves. Failed replications include early experiments on the Fifth Force, a proposed modification of Newton's Law of universal gravitation, and the measurements of "G," the constant in that law. Other case studies illustrate some of the difficulties and complexities in deciding whether a replication is successful or failed. It also discusses how that question has been answered. These studies include the "discovery" of the pentaquark in the early 2000s and the continuing search for neutrinoless double beta decay. It argues that although successful replication is the goal of scientific experimentation, it is not always easily achieved.

The electric dipole moment (EDM) challenge measures a non-zero proton EDM value and this book suggests how the challenge can be met. Any measurably large proton EDM would violate the standard model. The method to be employed uses an intense beam of 'frozen spin' protons circulating for hour-long times in a storage ring 'trap'. The smallness of EDMs allows them to test existing theories, but also makes them hard to measure. Such EDM experiments are inexpensive, at least compared to building accelerators of ever-greater energy.

For many years, evidence suggested that all solid materials either possessed a periodic crystal structure as proposed by the Braggs or they were amorphous glasses with no long-range order. In the 1970s, Roger Penrose hypothesized structures (Penrose tilings) with long-range order which were not periodic. The existence of a solid phase, known as a quasicrystal, that possessed the structure of a three dimensional Penrose tiling, was demonstrated experimentally in 1984 by Dan Shechtman and colleagues. Shechtman received the 2011 Nobel Prize in Chemistry for his discovery. The discovery and description of quasicrystalline materials provided the first concrete evidence that traditional crystals could be viewed as a subset of a more general category of ordered materials. This book introduces the diversity of structures that are now known to exist in solids through a consideration of quasicrystals (Part I) and the various structures of elemental carbon (Part II) and through an analysis of their relationship to conventional crystal structures. Both quasicrystals and the various allotropes of carbon are excellent examples of how our understanding of the microstructure of solids has progressed over the years beyond the concepts of traditional crystallography.