Möbius aromaticity refers to a unique type of aromaticity that arises in certain cyclic, conjugated systems that have a Möbius topology, typically characterized by having a twisted, half-twist (or Möbius) structure. This is in contrast to traditional planar aromatic systems, which follow Hückel's rule, stating that a cyclic compound is aromatic if it has \( 4n + 2 \) π electrons (where \( n \) is a non-negative integer).
The Möbius-Hückel concept is a theoretical framework used in organic chemistry and theoretical chemistry to understand the properties and stability of certain cyclic compounds, particularly those with conjugated π-electron systems. This concept revolves around the idea of electron delocalization and the geometry of π-systems, influenced by the principles of molecular orbital theory.
Negative hyperconjugation refers to a phenomenon in organic chemistry where electron donation occurs from a filled p orbital or lone pair on a substituent to a π* (pi anti-bonding) orbital of a neighboring bond, such as a carbon-carbon double bond or a carbon-heteroatom bond. This process leads to a stabilization of the system by delocalizing the electrons across the molecule.
A nucleophile is a chemical species that donates an electron pair to form a chemical bond in a reaction. The term "nucleophile" is derived from "nucleus-loving," as nucleophiles are attracted to positively charged or electron-deficient regions in other molecules, often referred to as electrophiles. Nucleophiles are characterized by their electron-rich nature, which allows them to participate in nucleophilic attacks.
Ring strain is a type of strain that occurs in cyclic molecules (or rings) when the bond angles deviate from their ideal values, leading to increased energy and instability of the molecule. This phenomenon is particularly relevant in smaller rings, where atoms are forced into bond angles that are significantly different from those found in typical tetrahedral (109.5°) or trigonal planar (120°) arrangements.
Spherical aromaticity refers to a type of aromatic stabilization that occurs in molecules with spherical symmetry, particularly in three-dimensional structures. It is an extension of the concept of aromaticity, which traditionally applies to planar cyclic compounds, such as benzene, that exhibit delocalized π-electrons over a stable ring structure. In spherical aromatic systems, the electronic delocalization occurs over the surface of a three-dimensional structure, rather than within a flat plane.
Vinylogy is a term used to describe a unique approach to the study and use of vine-based natural materials, particularly in the context of wine and viticulture. The term can encompass various disciplines including agriculture, enology (the science of wine and winemaking), and ecology. However, it’s worth noting that "Vinylogy" might not be widely recognized as a standard term in either scientific literature or common discourse.
Woodward's rules, also known as Woodward's rules of thumb, refer to a set of heuristics used primarily in the field of organic chemistry to predict the effect of substituents on the stability and reactivity of molecular structures, particularly in the context of aromatic compounds. These rules were formulated by the chemist Robert Woodward in his work on the stereochemistry and structure of organic compounds.
The Woodward–Hoffmann rules are a set of principles used in organic chemistry to predict the outcome of pericyclic reactions, which are reactions that involve cyclic transition states and occur via a concerted mechanism (simultaneous bond-breaking and bond-forming processes). Named after chemists Robert Burns Woodward and Donald Albert Hoffmann, these rules provide a framework to determine whether a pericyclic reaction is thermally allowed or forbidden based on molecular orbital (MO) theory.
The Yukawa–Tsuno equation is a mathematical model used in the field of nuclear physics, particularly in the description of nuclear forces between particles such as protons and neutrons. It is employed to describe the potential energy between two nucleons (neutrons and protons), accounting for the exchange of mesons (specifically pions) as mediators of the strong nuclear force.
Materialism is a philosophical viewpoint that emphasizes the importance of the physical or material world in understanding reality. In essence, materialists believe that everything that exists is made up of matter, and that all phenomena, including thoughts, feelings, and consciousness, arise from material interactions. Materialism can be understood in several contexts: 1. **Philosophical Materialism:** This asserts that only physical things exist and that all phenomena can be explained through material interactions.
The School of Physics and Technology at the University of Kharkiv, also known as V.N. Karazin Kharkiv National University, is a prominent academic institution in Ukraine focused on physics and its applications. The school is part of a wider research university known for its contributions to various fields of science and technology.
The B2FH paper, officially titled "Synthesis of the Elements in Stars," is a seminal scientific paper authored by scientists George B. Field, William A. Fowler, and Fred Hoyle, published in 1957. The paper is significant in the field of astrophysics and nucleosynthesis as it provides a comprehensive theoretical framework for understanding how chemical elements are formed within stars.
Dolors Aleu i Riera (1857-1913) was a pioneering figure in Spanish medicine and is particularly noted for being one of the first female doctors in Spain. Born in a time when women were largely excluded from the medical profession, she managed to overcome significant social and educational barriers to earn her medical degree. Aleu graduated from the University of Barcelona in 1882, and after obtaining her degree, she dedicated herself to the fields of psychiatry and pediatrics.
Elena Barraquer Compte is a renowned Spanish ophthalmologist known for her specialization in corneal diseases and surgery. She is particularly noted for her contributions to keratoplasty (corneal transplantation) and is recognized for her expertise in various advanced surgical techniques. Beyond her clinical work, she is also involved in research and education within her field, helping to advance the understanding and treatment of eye conditions.
Georges Dujardin-Beaumetz (1826-1892) was a French architect and notable figure in the field of architecture during the 19th century. He is particularly known for his contributions to the design of public buildings and his involvement in architectural education. Dujardin-Beaumetz was involved in various projects, but he is perhaps most remembered for his role in promoting the Beaux-Arts architectural style in France.
José Baselga was a prominent Spanish oncologist and researcher, known for his significant contributions to the field of cancer treatment and research, particularly in breast cancer and targeted therapies. He held key positions in various prestigious institutions, including serving as the physician-in-chief at Memorial Sloan Kettering Cancer Center in New York and working as a leader in the pharmaceutical industry, particularly at AstraZeneca.
Valentín Fuster is a prominent Spanish cardiologist known for his significant contributions to the field of cardiovascular medicine. He is recognized for his research and efforts in understanding heart disease, particularly in relation to atherosclerosis and thrombosis. Fuster has held prestigious positions, including serving as the director of Mount Sinai Heart and the Physician-in-Chief at The Mount Sinai Hospital in New York City.
Francisco Salva Campillo is a historical figure known for his contributions to the fields of medicine and the military in Spain during the late 18th and early 19th centuries. Not much detailed information is readily available, as he may not be as widely recognized as other historical figures. He is often noted for his work in anatomy and surgery as well as his involvement with various military medical advancements during his time.
The Ami Argand is a type of oil lamp that was developed in the late 18th century by the Swiss inventor Aimé Argand. It is known for its innovative design, which included a circular wick and a cylindrical glass chimney. This design allowed for a more efficient burning of oil, producing a brighter and steadier light compared to previous oil lamps. The Argand lamp became popular during the early 19th century and was widely used before the advent of electric lighting.

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