The Hartree equation is a key element in the field of quantum mechanics, particularly in the study of many-body systems. It is part of the Hartree method, which is an approximation method used to solve the time-independent Schrödinger equation for a system of interacting particles, typically electrons in atoms or molecules. In the Hartree method, the many-body wave function is approximated as a product of single-particle wave functions (orbitals).
Koopmans' theorem is a concept in quantum chemistry that relates to the calculation of electronic energies and ionization potentials of molecules. Named after the Dutch physicist Bernard Koopmans, the theorem provides an important framework for understanding the relationships between molecular orbitals and the energies associated with removing electrons from a system.
The Physical and Theoretical Chemistry Laboratory (PTCL) at the University of Oxford is a research facility that focuses on the study of physical chemistry and theoretical chemistry. It is part of the Department of Chemistry at Oxford and conducts research that explores the fundamental principles of chemical processes using experimental and computational methods. Research areas in the PTCL may include topics such as: 1. **Spectroscopy**: Investigating the interaction of light with matter to understand molecular structures and dynamics.
The term "solvent model" can refer to different concepts depending on the context, particularly in chemistry, physics, or computing simulations. Here are a couple of interpretations: 1. **In Chemistry and Molecular Modeling**: A solvent model refers to a representation of the solvent environment in which solute molecules interact. This is critical for understanding solvation effects on chemical reactions and molecular interactions.
In chemistry, the term "valency" usually refers to the combining capacity of an element, which is determined by the number of electrons an atom gains, loses, or shares when forming chemical bonds. The concept of valency is related to the arrangement of electrons in an atom and how these electrons can interact with other atoms. While "valency interaction formula" isn't a standard term in chemistry, it may refer to various principles that govern how atoms interact based on their valency.
The term "Bloom" can refer to different concepts depending on the context. If you are referring to "Bloom's Taxonomy," it is an educational framework used to classify learning objectives and goals in education. Created by Benjamin Bloom in 1956, the taxonomy is divided into three domains: cognitive, affective, and psychomotor.
Ceiling temperature typically refers to the maximum temperature that can be achieved or maintained within a specific context, such as in a thermal environment, an experimental setup, or industrial processes. It is relevant in various fields, including meteorology, HVAC (heating, ventilation, and air conditioning), and materials science. 1. **Meteorology**: In weather reporting, "ceiling" often describes the height of the lowest layer of clouds or obscuring phenomena above the Earth's surface.
Chloropolymers are a type of polymer that contains chlorine atoms in their molecular structure. They are typically derived from the polymerization of vinyl chloride or similar monomers containing chlorine. One of the most well-known chloropolymers is poly(vinyl chloride) (PVC), which is widely used in construction, plumbing, electrical insulation, and various consumer goods due to its durability, chemical resistance, and versatility.
Condensation polymers are a class of polymers formed through a condensation reaction, where monomer units are linked together, resulting in the release of small molecules, such as water, alcohol, or other simple molecules. This process typically involves the reaction of two different functional groups, such as -OH (hydroxyl) and -NH2 (amine), or -COOH (carboxylic acid) and -OH.
Evapoporometry is a technique used to characterize the porous structure of materials, particularly in relation to their accessible pore sizes and distribution. This method combines elements of evaporation and porometry to assess how liquids interact with porous substrates. In evaporation, a liquid is typically introduced into the pores of a material, and as the liquid evaporates, the rate at which that happens can provide insights into the size and connectivity of the pores.
A membrane osmometer is a scientific instrument used to measure osmotic pressure, which is the pressure required to stop the flow of solvent across a semipermeable membrane due to osmosis. Osmosis is the movement of solvent molecules (usually water) from a region of lower solute concentration to a region of higher solute concentration through a semipermeable membrane.
Molar mass distribution, also known as molecular weight distribution, refers to the variation in the molar mass (or molecular weight) of a sample of polymers or other complex mixtures. This distribution is important because it reflects the diversity in the size of molecules within a sample, which can significantly affect the physical, chemical, and mechanical properties of a material.
Polyester resin is a type of synthetic resin that is widely used in various applications, particularly in the manufacturing of composite materials, coatings, and adhesives. It is created through the polymerization of diols (like glycol) and dicarboxylic acids (like phthalic anhydride) or other similar monomers. The result is a thermosetting resin that hardens when cured, which typically involves the use of a catalyst or heat.
A polymer brush is a thin layer of polymer chains anchored at one end to a solid surface or interface, with the other ends extending into the surrounding medium, which can be a liquid or gas. This configuration creates a "brush-like" appearance, as the polymer chains protrude outward and can form a dense array. Polymer brushes are significant in various fields, including materials science, biology, and nanotechnology, due to their unique properties and functionalities.
Reversible-deactivation polymerization, often referred to as controlled/living polymerization, is a type of polymerization process that enables the synthesis of polymers with well-defined molecular weights and narrow molecular weight distributions. This technique allows for a high degree of control over the polymerization process, enabling the production of polymers with specific structural features and functionalities. The key characteristic of reversible-deactivation polymerization is the presence of reversible reactions that can temporarily deactivate the active sites of the polymerization process.
The term "template reaction" is generally used in organic chemistry and molecular biology to refer to reactions or processes where the formation of a product is guided by a specific template structure. Here are a couple of contexts in which this term might be applied: 1. **Organic Chemistry**: In the context of organic synthesis, a template reaction can describe a scenario where a molecular scaffold (or template) facilitates the construction of complex molecules.
An Ubbelohde viscometer is a type of capillary viscometer used to measure the viscosity of liquids. It is named after the German chemist Wolfgang Ubbelohde who developed this instrument. The device operates on the principle of measuring the time it takes for a specific volume of liquid to flow through a narrow capillary tube under the influence of gravity.
Silica polymorphs refer to the different structural forms of silicon dioxide (SiO₂), which is a common mineral found in nature. The term "polymorph" indicates that the same chemical composition can exist in multiple structural forms, each with distinct physical and chemical properties. The most well-known silica polymorphs include: 1. **Quartz**: The most abundant form of silica, characterized by a hexagonal crystal system.
Metal-organic frameworks (MOFs) are a class of materials composed of metal ions or clusters coordinated to organic ligands, forming a network structure that features high porosity. They are characterized by their crystalline structure, large surface area, and tunable chemical properties. Due to these unique characteristics, MOFs have garnered significant interest in various fields, including gas storage, separation, catalysis, drug delivery, and sensing.

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 5. . 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.
  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