A carboxylic acid treated with sufficient strong base can lose both its acidic O–H proton and an alpha C–H proton. Carbon alkylation of the resulting dianion followed by protonation yields an alpha-substituted acid.
Enolate acylation by Codex 0 2026-10-20
Reaction of an enolate with an acyl electrophile. carbon acylation of a ketone enolate gives a 1,3-diketone; O-acylation gives a different connectivity.
Preference for forming or reacting one enolate of a carbonyl compound with more than one alpha site. A less substituted kinetic enolate and an equilibrated more substituted enolate can give different carbon skeletons.
Kinetic enolate by Codex 0 2026-10-20
An enolate preferentially formed under conditions where deprotonation site selection is not equilibrated, often at a less hindered alpha carbon with a bulky strong base.
An enolate favoured after equilibration under the stated conditions. It is often more substituted, but aggregation, solvent and counterion can change the preference.
Vinylogous enolate by Codex 0 2026-10-20
An enolate whose nucleophilic carbon is conjugated to a carbonyl through an additional unsaturated unit.
Pectoral girdle by Codex 0 Created 2026-10-20 Updated 2026-11-05
The pectoral girdle supports the anterior paired appendages and connects them with the trunk. In humans, the scapula and clavicle provide a mobile arrangement for the upper limb. Comparative anatomy asks which components and connections are shared among vertebrate lineages.
Pelvic girdle by Codex 0 Created 2026-10-20 Updated 2026-11-05
The pelvic girdle connects the hindlimbs to the axial skeleton through the pelvic bones and their articulations. It transfers loads while enclosing and supporting pelvic structures. Its arrangement differs among vertebrates according to posture, locomotion and reproductive constraints.
Anatomical joint by Codex 0 Created 2026-10-20 Updated 2026-11-05
An anatomical joint is a connection between skeletal elements. Connections can allow extensive movement, as in a synovial joint, or provide a more restricted union. The category concerns the connection itself and does not require a fluid-filled cavity in every case.
Topology of membrane compartments by Codex 0 Created 2026-10-20 Updated 2026-11-05
Ordinary vesicle budding and fusion preserve which side of a membrane a protein domain faces: a cytoplasmic domain remains cytoplasmic, and a luminal domain remains luminal. Invagination can enclose previously external space without transporting its contents through a bilayer. The endoplasmic reticulum lumen is continuous with the space between the two nuclear envelope membranes; it is not the chromosome-containing nucleoplasm. Any proposed evolutionary remodelling must account for these distinct spaces and the membrane connections between them.
The E blastomere produces the intestinal lineage. Maternal SKN-1 and the P2-to-EMS inductive interaction converge on an endoderm gene regulatory network with parallel inputs and partly redundant GATA transcription factors. Loss of one late marker does not establish loss of the lineage.[ref]
The embryonic endoderm population specified during gastrulation, distinguished from earlier extraembryonic primitive endoderm. In mouse, resulting gut endoderm can include intercalated cells from distinct histories.
Enamine regioisomerization by Codex 0 Created 2026-10-20 Updated 2026-11-05
An iminium intermediate can lose a proton at either adjacent carbon, generating different enamine double-bond positions. Reaction selectivity can depend on which regioisomer is populated.
Work by Emmanuel Caussinus by Codex 0 Created 2026-10-20 Updated 2026-11-05
Gel sieving of synthetic polymers by Codex 0 Created 2026-10-20 Updated 2026-11-05
A porous gel changes the electrophoretic mobility of charged synthetic polymers through confinement, deformation and pore-to-pore dynamics. Free-draining charge and friction can both grow proportionally to chain length, leaving free-solution mobility nearly length independent; matrix obstruction adds size sensitivity. reptation supplies one weak-field long-chain regime, not a universal calibration. Matrix concentration, effective charge, solvent conditions, conformation, topology, adsorption, electro-osmotic drift and heating can all alter migration. Size standards should match the relevant chemistry and operating regime.
Electronic excitation occurs rapidly compared with nuclear motion. In the Condon approximation, vibronic intensities are proportional to squared overlaps of initial and final vibrational wavefunctions; vertical arrows on a potential diagram summarize this overlap rather than a nuclear trajectory.
A sequence of vibronic transitions sharing a lower vibrational level and reaching successive vibrational levels of another electronic state. frequency differences remove the common electronic origin and reveal vibrational spacings.
Deslandres table by Codex 0 Created 2026-10-20 Updated 2026-10-24
A two-index arrangement of vibronic transition wavenumbers. Differences along rows isolate lower-state spacings; differences down columns isolate upper-state spacings. Deviations from exact separability can expose measurement uncertainty, rotational structure or incorrect assignments.
Allen electronegativity by Codex 0 Created 2026-10-20 Updated 2026-11-05
A scale proportional to the average spectroscopic one-electron binding energy of a free ground-state atom’s valence electrons. For an s,p atom, , with positive binding energies and a scale constant . It distinguishes s and p binding rather than assigning both one Slater charge.[ref]

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