Small-angle scattering (SAS) is a powerful experimental technique used to study the structure of materials at the nanoscale. It is commonly applied in fields such as chemistry, biology, materials science, and condensed matter physics. The technique involves the scattering of X-rays, neutrons, or light (e.g., using small-angle X-ray scattering, or SAXS; small-angle neutron scattering, or SANS; and small-angle light scattering, or SALS) off of a sample.
Gas electron diffraction (GED) is a technique used to study the molecular structure of gas-phase samples by examining the scattering of electrons as they pass through a gas. It can be particularly useful for obtaining information about small molecules, radicals, and other transient species that may not have a stable crystalline form or that would be difficult to study using traditional X-ray crystallography.
The Kapitsa–Dirac effect is a quantum phenomenon that occurs when a beam of particles, such as electrons, interacts with a periodic potential in a way that results in the diffraction of the particles into discrete energy states. This effect was first predicted by physicists Peter Kapitsa and Paul Dirac in the 1930s.
Ultrasonic grating is a technique that involves the use of ultrasonic waves to create a pattern or grating effect in a medium. This method can be applied in various fields, such as materials science, acoustics, and engineering, and can serve multiple purposes including diagnostics, imaging, and material characterization. In essence, ultrasonic grating works by generating high-frequency sound waves that can propagate through different materials.
Equivalent width is a measure used in spectroscopy to quantify the strength of spectral lines, such as absorption or emission features in a spectrum. It provides a way to describe how much of the continuum flux is absorbed or emitted by a feature, relative to the continuum level.
In the context of spectroscopy, "principal series" refers to a specific set of spectral lines that arise from the electronic transitions of atoms or ions, particularly in the hydrogen atom and hydrogen-like systems. These transitions occur between different energy levels characterized by principal quantum numbers. For hydrogen, the principal series typically involves transitions where an electron moves from higher energy levels (n2) down to the first energy level (n = 1).
The Rydberg–Ritz combination principle is a concept in the field of spectroscopy that relates to the spectral lines of atoms, particularly hydrogen. It was formulated in the early 20th century based on the work of physicists Johannes Rydberg and Walther Ritz.
Vibrational energy relaxation refers to the process by which vibrational energy, which is the energy associated with the vibrational motion of atoms within a molecule, dissipates or transitions to other forms of energy, typically in a condensed phase or gas. This process is significant in various fields, including physical chemistry, materials science, and biophysics, as it plays a critical role in energy transfer mechanisms, chemical reactions, and the behavior of complex systems.
The Ernst angle is a concept from the field of nuclear magnetic resonance (NMR) and magnetic resonance imaging (MRI). It refers to a specific angle of rotation that maximizes the signal intensity in certain imaging or relaxation sequences. In longitudinal relaxation, the Ernst angle is associated with the optimal flip angle that maximizes the signal-to-noise ratio (SNR) for a given repetition time (TR) in an NMR experiment.
Nuclear Magnetic Resonance (NMR) spectroscopy is a powerful analytical technique used to determine the structure and dynamics of molecules, including carbohydrates. In the context of carbohydrates, NMR spectroscopy provides valuable information about their chemical structure, conformation, and interactions. ### Key Aspects of NMR Spectroscopy of Carbohydrates: 1. **Principle**: NMR relies on the magnetic properties of certain atomic nuclei, primarily hydrogen (^1H) and carbon (^13C) nuclei in carbohydrates.
31 Comae Berenices, also designated as 31 Com, is a binary star system located in the constellation Coma Berenices. It is not particularly bright, with an apparent magnitude of about 5.8, making it visible to the naked eye under good conditions. The system is approximately 80 light-years away from Earth.
Potential evaporation (or evapotranspiration) refers to the amount of water that could evaporate from a surface, such as soil or water bodies, or transpire from vegetation, under optimal conditions. It represents an estimate of the maximum evaporation rate that can occur, assuming that there is sufficient moisture available in the soil and that other environmental conditions (like temperature, humidity, wind speed, and solar radiation) are conducive to evaporation.
The term "Lucifer" can refer to several concepts, depending on the context: 1. **Religious Context**: In Christian theology, "Lucifer" is often associated with a being who fell from grace, traditionally identified with Satan. The name comes from the Latin word "lucifer," meaning "light-bringer" or "morning star." This identification is commonly linked to a passage in Isaiah 14:12-15, which speaks of a fallen entity.
Breakdown voltage refers to the minimum voltage that causes a portion of an insulator to become electrically conductive. When the voltage across an insulating material exceeds its breakdown voltage, the material undergoes a process where it can no longer act as an insulator and begins to conduct electricity. This is a critical parameter in the design and operation of electronic components, such as capacitors, diodes, transistors, and insulators in power systems.
Thunder deities are divine beings associated with thunder and often storms, representing the power and might of nature. They appear in various mythologies around the world and are typically seen as gods or spirits who can control or wield the forces of thunder, lightning, and storms. Some notable thunder deities include: 1. **Thor** (Norse Mythology) - The god of thunder, known for his hammer Mjölnir, which produces thunder and lightning.
Franklin bells refer to a type of experimental apparatus used to demonstrate the principles of electrostatics, specifically the behavior of electric charges and the concept of electric potential. The device consists of two large metal bells or containers that are connected to each other, often mounted on a support. When an electrostatic charge is introduced to one of the bells, it creates an electric field that can cause the other bell to exhibit electrical effects, such as attracting or repelling small charged objects.
A klydonograph is an instrument used to record electrical discharges, particularly those originating from lightning. The term "klydonograph" combines "klydon," which refers to a wave or wave-like motion (often used in the context of electricity), and "graph," which denotes recording or visual representation. In essence, klydonographs can capture the characteristics of electrical impulses and serve as valuable tools for studying and understanding lightning and other phenomena associated with electrical activity in the atmosphere.
The Inverse Faraday Effect (IFE) is a phenomenon in electromagnetism and optics, particularly in materials with magnetic properties. It refers to the generation of a magnetic field in response to electromagnetic radiation, such as a laser beam. This effect is essentially the reverse of the traditional Faraday Effect, where an applied magnetic field causes rotation of the polarization plane of light passing through a material.
The photomagnetic effect refers to the phenomenon where the magnetic properties of a material change when it is exposed to light. This effect is often observed in certain types of materials, particularly those that exhibit a combination of magnetic and optical properties, such as magnetic semiconductors or materials with specific electronic configurations. When a material experiences illumination, the absorption of photons can lead to changes in the electronic states of the material, which in turn can influence its magnetic ordering.
Finite strain theory is a framework used in the field of continuum mechanics to describe the behavior of materials undergoing large deformations. Unlike small strain theory, which assumes that deformations are infinitesimally small and uses linear approximations, finite strain theory accounts for significant changes in shape and size of materials. Key aspects of finite strain theory include: 1. **Large Deformations**: It is specifically designed to handle situations where the deformations are not minor and where geometric nonlinearity cannot be ignored.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact