> For the complete documentation index, see [llms.txt](https://taylor-lindsay.gitbook.io/tl-comps/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://taylor-lindsay.gitbook.io/tl-comps/4.-isotopes/4.1-isotope-basics.md).

# 4.1 Isotope Basics

Most isotope info sourced from URI OCG 550 with Kelton McMahon

## Definitions&#x20;

**Isotope** - atoms of the same element with different numbers of neutrons, differ in mass but have essentialy the same chemical reactivity&#x20;

* **Stable** - do not undergo radioactive decay, but do undergo fractionation&#x20;
* **Radioactive** - unstable isotopes that will decay to other elements by shedding their neutrons / protons to achieve stability&#x20;

**Fractionation** - the alteration of the distribution of stable isotopes as a result of chemical, physical, or biological processes

* **Kinetic** - Unidirectional reactions due to differences in reaction rate of molecules or atoms containing different masses - light isotope usually reacts faster - includes transport or diffusion processes dealing with flux&#x20;
  * sometimes there are multiple products, which still have to conserve mass&#x20;
* **Equilibrium** - Isotope exchange reactions driven by changes in vibrational energies of molecules, forward and back reactions reach thermodynamic equilibrium - the heavy isotope accumulates where it is held strongest - phase changes
  * alpha (fractionation rate) decrease with temp&#x20;
  * fractionation highest for light elements&#x20;
* Rayleigh fractionation - products are isolated from reactants immediately after formation, leading to characteristic isotope pattern of evolving phases

  <figure><img src="https://789240665-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FShvdx4K6BBMxfuVPr2NP%2Fuploads%2FjsXeisdtMowageINXzUH%2FScreen%20Shot%202023-03-29%20at%205.27.56%20PM.png?alt=media&amp;token=fdce710b-fc98-4930-a0ff-afa90cfe4af4" alt=""><figcaption><p>As you increase up a mountain slope, the delta18O in clouds becomes increasingly negative. the 18O is being captured in the water / condensation and clouds are getting isotopically lighter. the gradient that is created is called rayleigh fractionation </p></figcaption></figure>
* **Conservation of mass** - reactant and product must preserve original epsilon when 100% reacted&#x20;

**Most important Isotopes (for me)** - O and H are typically associated with environmental fractionation and gradients, while N and C are more important for biological processes&#x20;

* 1H vs 2H
* 12C vs 13C
* 14N vs 15N
* 16O vs 18O

### Notation

* **Delta Notation** - Allows us to compare between samples by standardizing them to international standards. <img src="https://789240665-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FShvdx4K6BBMxfuVPr2NP%2Fuploads%2FMKezm4WCtuiSdtxpwtzJ%2FScreen%20Shot%202023-03-29%20at%205.08.43%20PM.png?alt=media&amp;token=ec6b4918-94a1-464d-a363-2a34f12512ca" alt="" data-size="line"> where R is the heavy/light isotope ratio, units are permil ‰.&#x20;
  * positive values = enrichment&#x20;
  * negative values = depletion&#x20;
* **Big Delta Notation** - Isotope separation <img src="https://789240665-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FShvdx4K6BBMxfuVPr2NP%2Fuploads%2FXYDyaVsj2tw2AhElgRxH%2FScreen%20Shot%202023-03-29%20at%205.17.12%20PM.png?alt=media&amp;token=6ea571d0-ea4b-455e-bd56-45475274eb57" alt="" data-size="line">
* **Epsilon** - Isotope Enrichment <img src="https://789240665-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FShvdx4K6BBMxfuVPr2NP%2Fuploads%2F3Yj7JUnx48Iioi1jGx8Q%2FScreen%20Shot%202023-03-29%20at%205.19.19%20PM.png?alt=media&amp;token=000e21b8-de6a-49e9-a945-0d971be705d2" alt="" data-size="line">
* **Alpha notation** - Isotope Fractionation <img src="https://789240665-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FShvdx4K6BBMxfuVPr2NP%2Fuploads%2FOwh1L6H9iJnSF8fXXKcx%2FScreen%20Shot%202023-03-29%20at%205.16.24%20PM.png?alt=media&amp;token=bd25f197-c532-4e8f-9a76-4a463178b761" alt="" data-size="line">
  * very temperature dependent&#x20;
* Turnover time - T&#x20;

References

#### <mark style="color:purple;">McMahon, Hamady & Thorrold 2013</mark>

Provides a thorough background on ecogeochemistry and the uses of isotopes in marine ecosystems.&#x20;

####
