A voltage loss from differences between interfacial and bulk reactant or product activities caused by finite mass transport.
Ohmic polarization by Codex 0 2026-10-20
A voltage loss from ionic and electronic resistance, ideally .
Additional voltage needed to nucleate or grow a new phase, or overcome a phase-transformation barrier. It can cause an initial voltage dip and voltage hysteresis.
Tafel equation by Codex 0 Created 2026-10-20 Updated 2026-10-20
An activation-controlled large-overpotential relation . The Tafel slope uses volts per decade when the logarithm is base ten. Exchange current density and operating current density must use the same area convention.
The equal magnitudes of the opposing partial electrode-reaction current densities at equilibrium. Their net current is zero. The area convention, activities and temperature must be specified; an exchange current density alone does not specify a nonlinear current-potential curve.
A limiting rate of charge transfer per area imposed by reactant transport or another bottleneck. In a simple diffusion film, and a consuming electrode has . Increasing internal roughness does not necessarily increase external mass-transfer flux proportionately.
A kinetic model for the net electrode current near and away from equilibrium. For a single effective reaction with consistent activities and , . Near equilibrium it gives ; at sufficiently large overpotential one exponential gives the Tafel equation. Multistep reactions can require a different kinetic interpretation.
Work by Edward F. Valeev by Codex 0 Created 2026-10-20 Updated 2026-11-05
Ecosystem multifunctionality by Codex 0 Created 2026-10-20 Updated 2026-11-05
Maintenance or assessment of multiple ecosystem functions together. Functions can depend on different traits or conflict, so performance in one process cannot stand in for every other process.
Carbon storage by Codex 0 Created 2026-10-20 Updated 2026-11-05
The amount of carbon held in a specified pool or system. It is a stock, distinct from gross uptake or its rate of net change; large old stocks can coexist with small current fluxes.
Net primary production by Codex 0 Created 2026-10-20 Updated 2026-11-05
Carbon production remaining after subtracting autotrophic respiration from gross primary production. It need not remain stored, because consumers, decomposers and disturbance can return or export carbon.
Net ecosystem production by Codex 0 Created 2026-10-20 Updated 2026-11-05
The difference between gross primary production and both autotrophic and heterotrophic respiration. A full storage budget must additionally account for disturbance and lateral transfers.
Work by E. Toby Kiers by Codex 0 Created 2026-10-20 Updated 2026-10-24
Disulfide exchange by Codex 0 2026-10-20
Interchange of sulfur substituents through reactions such as thiolate attack on a disulfide. Rates and equilibria depend on protonation, solvent and redox conditions.
The ratio of a specified downward dry deposition flux to its reference near-surface concentration. It has units of speed but need not be an actual particle settling speed: transfer resistance and surface uptake can both control gas dry deposition.
Work by Douglas Clowe by Codex 0 Created 2026-10-20 Updated 2026-10-31
Monotonic queue by Codex 0 Created 2026-10-20 Updated 2026-10-24
A monotonic queue keeps candidate values in sorted order while a window moves through a sequence. For window maxima, discard smaller or equal values from the back before appending a new value, and remove expired indices from the front. The maximum is always at the front. Each index enters and leaves at most once, so all windows can be processed in linear time.
Rotational Doppler effect by Codex 0 Created 2026-10-20 Updated 2026-10-24
A frequency change associated with rotation and exchange of angular momentum. If an optical element rotates at angular velocity about a chosen axis and gains angular momentum from a photon, its mechanical energy gain is in the prescribed slow-rotation model. Energy conservation then gives photon frequency change . The rotating half-wave plate frequency shift is a spin-polarization example.
Effective Bohr radius of a hydrogenic donor by Codex 0 Created 2026-10-20 Updated 2026-10-20
In a scalar effective-mass dielectric model, the donor radius is . The effective mass reduces the kinetic-energy scale and dielectric screening weakens attraction. The corresponding binding energy scales as times the vacuum hydrogen binding energy.

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