A vibrational bond typically refers to the concept related to molecular vibrations in the context of chemistry and physics. In molecular systems, atoms are held together by chemical bonds, and these bonds can vibrate due to thermal energy. These vibrational motions can be described in terms of vibrational modes, which represent the different ways in which the atoms in a molecule can move relative to one another while remaining bonded together.
The Van Arkel–Ketelaar triangle is a graphical representation used in the field of materials science, particularly for understanding the bonding characteristics between materials, especially in the context of binary compounds and solid-state systems. It is named after the Dutch chemists A. E. van Arkel and J. A. Ketelaar who developed this conceptual framework.
Valence electrons are the electrons in the outermost shell (or energy level) of an atom that are involved in chemical bonding and reactions. These electrons are crucial because they determine how an atom interacts with other atoms, influencing the formation of bonds in molecules and compounds. The number of valence electrons varies among different elements and can be determined by the group number in the periodic table. For example, elements in Group 1 have one valence electron, while those in Group 17 have seven.
Valence Bond Theory (VBT) is a fundamental theory in quantum chemistry that describes the formation of chemical bonds between atoms. It focuses on the interactions of atomic orbitals to explain how bonds are formed and how the properties of molecules arise from these bonds.
In chemistry, valence refers to the ability of an atom to bond with other atoms. It is a concept that relates to the number of electrons an atom can donate, accept, or share to form chemical bonds. Valence is generally determined by the number of electrons in the outermost shell (valence shell) of an atom.
A triple bond is a type of chemical bond that involves the sharing of three pairs of electrons between two atoms. This bond is stronger than a single bond (which shares one pair of electrons) and a double bond (which shares two pairs of electrons). In a triple bond, the two atoms involved each contribute three electrons, resulting in a total of six electrons being shared.
Tolman's rule, also known as Tolman's principle, is a concept in statistical mechanics that pertains to the behavior of chemical systems, particularly in the context of phase transitions and equilibrium. Named after physicist Richard Tolman, the rule suggests that in a system at equilibrium, the chemical potential of all components must be equal throughout the system, including at the interfaces between different phases. In terms of a more practical application, Tolman's rule implies that: 1. For various phases of a substance (e.
A three-center two-electron bond is a type of chemical bond that involves three atoms and two electrons. This concept is often discussed in the context of certain types of molecular structures, particularly in some clusters, carboranes, and certain compounds involving main group elements. In a typical covalent bond, two atoms share a pair of electrons. However, in a three-center two-electron bond, the two electrons are shared by three atoms instead of just two.
A three-center four-electron bond is a type of chemical bonding that involves three atoms and shares four electrons among them. This bonding scenario is commonly found in certain molecular structures, particularly in electron-deficient systems or while describing certain types of stable intermediates. In a typical covalent bond, two atoms share a pair of electrons, forming a two-center two-electron bond. The three-center four-electron bond, however, is characterized by the sharing of electrons across three atomic centers.
A symmetric hydrogen bond is a type of hydrogen bond where the donor and acceptor atoms are in a symmetrical arrangement with respect to the hydrogen atom. In this arrangement, the hydrogen atom is equidistant from both the donor (the atom to which the hydrogen is covalently bonded) and the acceptor (the atom that receives the hydrogen bond). This symmetry generally leads to a more stable interaction due to the favorable overlap of orbitals and the optimal distance for the bonding interaction.
Strain energy refers to the potential energy stored in a material when it is deformed due to applied forces. This energy is a consequence of the internal work done by the material to change its shape or size in response to stress. When an external load is applied, the material undergoes strain (deformation), and the energy required to produce that deformation is considered strain energy. In engineering and materials science, strain energy is critical for understanding the behavior of materials under load.
Starch gelatinization is a process that involves the transformation of starch granules when they are heated in the presence of water. This process is critical in cooking and food preparation, as it affects the texture, viscosity, and digestibility of starch-containing foods. Here’s how the process works: 1. **Heating**: When starch granules are heated in water, they begin to absorb moisture and swell.
In chemistry, "stacking" typically refers to a type of intermolecular interaction that occurs between aromatic compounds, where the planar structures of aromatic rings are aligned parallel to one another. This interaction is often discussed in the context of π-π (pi-pi) stacking, which is a significant factor in the stability and properties of molecular structures, including DNA bases, polymers, and various organic compounds. **Key Points:** 1.
A solvation shell refers to the layer of solvent molecules that surround a solute particle in a solution. When a solute is dissolved in a solvent, such as salt in water, the solvent molecules organize themselves around the solute particles, forming these "shells" of solvent. The structure and dynamics of the solvation shell can significantly influence the properties of the solute, including its reactivity, solubility, and the kinetics of chemical processes.
A single bond is a type of chemical bond where two atoms share one pair of electrons. This bond is typically represented by a single line (e.g., H—H in hydrogen gas). Single bonds are commonly found in many covalent compounds and are characterized by the following features: 1. **Bonding Electrons**: Each atom contributes one electron to the bond, resulting in a shared pair of electrons that helps hold the two atoms together.
The silicon-oxygen bond refers to the chemical bond formed between silicon (Si) and oxygen (O) atoms. This bond is primarily covalent in nature, which means that the atoms share electrons to achieve greater stability through filled electron shells. Silicon and oxygen are both found in Group 14 and Group 16 of the periodic table, respectively.
A sigma bond (σ bond) is a type of covalent bond that is formed when two atomic orbitals overlap directly along the axis connecting the two nuclei of the bonding atoms. This overlap allows for a strong bond due to the effective sharing of electrons between the atoms. Key characteristics of sigma bonds include: 1. **Formation**: Sigma bonds can form from the head-on overlap of different types of orbitals, such as s-s, s-p, or p-p orbitals.
Sigma-pi and equivalent-orbital models are concepts from molecular and solid-state physics that deal with the electronic structure of molecules and materials. ### Sigma-Pi Models 1. **Sigma Bonds (σ Bonds)**: These are covalent bonds formed when two atoms share electrons in an overlapping region of their atomic orbitals along the axis connecting the two nuclei. Sigma bonds are generally stronger because they involve direct overlap.
A sextuple bond refers to a type of chemical bond that involves the sharing of six pairs of electrons between two atoms. This is a rare bonding occurrence, primarily seen in certain transition metals. The concept of sextuple bonds is most commonly discussed in relation to metal complexes, particularly those involving heavy transition metals, such as rhenium and molybdenum.
A salt bridge refers to a non-covalent interaction that occurs between oppositely charged ionizable groups, typically amino acid side chains, in a protein or in supramolecular assemblies. Here’s a breakdown of salt bridges in both contexts: ### In Proteins: 1. **Definition**: A salt bridge in proteins usually involves the electrostatic attraction between the carboxylate group (e.g., from aspartate or glutamate) and an ammonium group (e.g.

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
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