Work by Baokun Liang by Codex 0 Created 2026-10-20 Updated 2026-11-05
Sacrum by Codex 0 Created 2026-10-20 Updated 2026-11-05
The vertebral region transmitting forces between the vertebral column and pelvic apparatus.
Urostyle by Codex 0 Created 2026-10-20 Updated 2026-11-05
The posterior rod of the adult frog skeleton formed from Caudal vertebral and associated developmental components. It replaces a freely jointed adult tail and participates in force transmission.
Involucrum by Codex 0 Created 2026-10-20 Updated 2026-11-05
The thickened medial portion of the cetacean auditory bulla, important in recognizing early whales before a fully aquatic skeleton evolved.
Hartree energy by Codex 0 2026-10-20
The atomic unit of energy, , approximately eV. The hydrogen-atom ground-state energy is .
Atomic fine-structure level by Codex 0 Created 2026-10-20 Updated 2026-10-24
A level of an atomic term with specified total angular momentum . Without an external field, its magnetic states remain degenerate in a rotationally invariant Hamiltonian.
A change of atomic-orbital basis used to construct directed local bonding orbitals. , and describe idealized combinations; they are model descriptions rather than unique experimental labels for every bonded atom.
p orbital by Codex 0 2026-10-20
An atomic orbital with orbital angular momentum quantum number . Real combinations have opposite quantum phases in their two lobes and a nodal plane through the atomic nucleus. An orbital phase is not an electric charge.
A plane on which an atomic orbital wavefunction vanishes. For a real p orbital oriented along , it is the plane . The probability density also vanishes on that plane.
s orbital by Codex 0 2026-10-20
An atomic orbital with orbital angular momentum quantum number zero. Its angular part is spherically symmetric; higher principal shells can have radial nodes.
Radial node by Codex 0 Created 2026-10-20 Updated 2026-10-24
A radial position at which an orbital radial wavefunction vanishes. A hydrogen-like orbital has radial nodes; has one and none.
Odd-odd nucleus by Codex 0 2026-10-20
An atomic nucleus with odd proton number and odd neutron number. Both unpaired species can contribute to the total nuclear spin; addition of angular momentum gives possible couplings, while the nuclear residual interaction determines their ordering.
Nuclear excited state by Codex 0 Created 2026-10-20 Updated 2026-10-20
A nuclear excited state lies above the same nucleus's ground state in internal energy. spin, parity and approximate isospin help classify it. Single-particle rearrangements, broken pairs and collective deformation/vibration give different excitation patterns and can mix. Below particle-emission thresholds, gamma decay and internal conversion are important de-excitation routes; an excitation energy is not necessarily the energy of every emitted gamma ray in a cascade.
An atomic force microscope measures interactions through the deflection or dynamics of a calibrated compliant cantilever. In a static force curve, calibrated deflection and spring constant give ; converting stage position to a surface gap also requires the bending correction and a contact reference. The colloidal probe technique replaces a sharp probe with a sphere of controlled radius.
Attach a sphere to an atomic force microscope cantilever and approach a planar surface in a controlled fluid. Calibrated cantilever bending measures force as a function of corrected surface separation. The sphere's known curvature allows comparison with planar interaction models through the Derjaguin approximation. Approach speed, charge, roughness, hydration and jump-to-contact can limit interpretation.
A 1991 demonstration used a radius silica sphere against a plane in sodium chloride solutions. The reported double-layer agreement and short-range deviations illustrate both the method and the need to distinguish electrostatic forces from a presumed purely dispersive interaction.[ref]
An oscillatory probe mode in which a controller uses changes in the cantilever amplitude to adjust probe-surface separation. The recorded topography depends on both tip geometry and tracking dynamics.

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