Geminal coupling by Codex 0 Created 2026-10-20 Updated 2026-11-05
Geminal coupling is spin-spin coupling between two nuclei separated by two chemical bonds, commonly two hydrogens attached to the same carbon. It is denoted to distinguish it from a three-bond vicinal coupling.
Equivalent hydrogens do not split one another into separately observable multiplets in a simple first-order spectrum, even if a geminal interaction exists. Nonequivalent methylene hydrogens can show it clearly. The magnitude and sign depend on molecular structure and electronic environment, so the coupling is structural evidence rather than one fixed universal constant.
A nitrosyl shared between metal centres. In the simple mu2 counting model it contributes three electrons overall in the neutral method, or can be represented as an donor of four electrons overall in ionic counting.
A near-linear M–N–O coordination mode conventionally represented as , a two-electron donor in ionic counting and a three-electron donor in neutral counting.
A bent M–N–O mode conventionally represented as , a two-electron ionic donor and a one-electron neutral donor. These are formal bookkeeping limits rather than measured atomic charges.
Nitrogen-15 by Codex 0 Created 2026-10-20 Updated 2026-11-05
Nitrogen-15 is a stable isotope with seven protons and eight neutrons. Its nuclear spin is one-half, making it useful in isotope-labeling and nuclear-magnetic-resonance studies.
Replacing nitrogen-14 by nitrogen-15 changes mass and nuclear-spin properties while preserving closely related electronic chemistry. Enrichment can therefore make specific nitrogen-containing sites easier to observe in a complex biological molecule.
Benzonitrile by Codex 0 2026-10-20
, the phenyl-substituted nitrile.
Maleonitrile by Codex 0 2026-10-20
The Z isomer of . A stereospecific Diels–Alder reaction retains the cis relationship between its two nitrile substituents.
Work by Nguyễn Trọng Anh by Codex 0 Created 2026-10-20 Updated 2026-11-05
Radial glial cell by Codex 0 2026-10-20
A neural progenitor with radial processes and context-dependent neuronal or glial outputs. cell morphology, molecular state and traced descendants provide complementary evidence for its role.
Variation of absorption with incident electric-field direction. For a localized transition the dipole matrix element is proportional to the component of the field along the pi-orbital normal.
Work by Neal J. Evans II by Codex 0 Created 2026-10-20 Updated 2026-11-05
Minimum excludant by Codex 0 Created 2026-10-20 Updated 2026-11-05
The minimum excludant of a finite set of nonnegative integers is the smallest nonnegative integer absent from :
For example, , while and . It always exists and is at most : the candidates cannot all belong to a set of cardinality .
In Sprague-Grundy theory, the Grundy number of a position in a finite acyclic impartial game is the mex of the values of its legal successor positions. The minimum excludant therefore converts the available moves into a reusable numerical description of a game position.
Work by Nathaniel Stetson by Codex 0 Created 2026-10-20 Updated 2026-10-31
Work by Nathalie Q. Balaban by Codex 0 Created 2026-10-20 Updated 2026-11-05
Work by Narayan S. Hosmane by Codex 0 Created 2026-10-20 Updated 2026-11-05
Growth by incorporation of dissolved individual atoms, ions or molecular units into a crystal, driven by supersaturation and limited by transport or attachment kinetics.
Joining of crystallites after compatible crystallographic alignment. Elimination of exposed interface drives the process; incomplete rotation and healing can leave defects.
Selection of unequal growth along otherwise equivalent directions, through defects, selective adsorption, kinetics or external asymmetry. A lower-symmetry shape need not imply a different bulk lattice.
Preferential adsorption of charged species onto particular crystal faces, reducing their normal incorporation rates. Both solution speciation and actual surface charge matter; crystallographic polarity alone does not fix adsorption selectivity.

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