Cosmogenic Nuclide Simulator: Surface Exposure Dating with ¹⁰Be

simulator intermediate ~10 min
Loading simulation...
t ≈ 15 kyr — post-glacial exposure age

A boulder at 1000 m altitude with a production rate of ~5.8 at/g/yr accumulates about 80,000 atoms/g of ¹⁰Be in 15 kyr — consistent with exposure following the Last Glacial Maximum retreat.

Formula

P(z) = P₀ × exp(−ρz / Λ) (depth-dependent production)
N(t) = (P / (λ + ερ/Λ)) × (1 − exp(−(λ + ερ/Λ)t))
Altitude scaling: P = P₀ × exp(alt / Λ_atm), Λ_atm ≈ 160 g/cm²

Cosmic Rays as Chronometers

Galactic cosmic rays — mostly high-energy protons from supernovae — bombard Earth's surface continuously. When these particles strike atoms in exposed rock (mainly oxygen and silicon in quartz), they shatter nuclei in a process called spallation, producing rare isotopes like ¹⁰Be and ²⁶Al. The longer a rock surface has been exposed, the more cosmogenic nuclides it accumulates, creating a clock that measures landscape exposure time.

Production and Scaling

The production rate depends on latitude (geomagnetic shielding), altitude (atmospheric shielding), and depth below the surface (exponential attenuation). At sea level and high latitude, ¹⁰Be production in quartz is about 4 atoms per gram per year. At 3000 m altitude, this rises to roughly 15 at/g/yr. This simulation lets you explore how altitude and the exponential scaling factor control the effective production rate at any location on Earth.

Erosion Complicates Everything

A surface that erodes continuously loses its irradiated layer, reducing the measured nuclide concentration. The apparent exposure age becomes a minimum. However, by measuring two nuclides with different decay rates (the ²⁶Al/¹⁰Be pair), geochemists can simultaneously determine both exposure time and erosion rate — a powerful technique for quantifying landscape evolution over millennia.

Dating Glacial Landscapes

The most widespread application of cosmogenic nuclide dating is determining when glacial moraines were deposited. Boulders perched on moraines have been exposed to cosmic rays since the glacier retreated. Systematic dating of moraines across continents has revealed the precise timing of deglaciation after the Last Glacial Maximum (~20 kyr ago) and shown that glacier retreat was nearly synchronous worldwide.

FAQ

What are cosmogenic nuclides?

Cosmogenic nuclides are rare isotopes (¹⁰Be, ²⁶Al, ³⁶Cl, ³He, ²¹Ne) produced when cosmic rays interact with atoms in surface rocks. Their concentration increases with exposure time, providing a clock for dating landforms like glacial moraines, fault scarps, and lava flows.

How does altitude affect cosmogenic dating?

Cosmic ray flux increases exponentially with altitude because there is less atmosphere to shield the surface. Production rates roughly double every 1500 m of elevation gain, making high-altitude samples accumulate nuclides faster and enabling dating of younger surfaces.

How does erosion affect exposure ages?

Erosion continuously removes the irradiated surface layer, lowering the measured nuclide concentration. If erosion is not accounted for, the calculated exposure age will be too young. Pairing two nuclides with different half-lives (e.g., ¹⁰Be and ²⁶Al) can simultaneously solve for both exposure time and erosion rate.

What can cosmogenic nuclides date?

Glacial moraines, river terraces, volcanic lava flows, meteorite impacts, landslide deposits, fault scarps, and even archaeological quarry surfaces. The method works from ~100 years to ~5 million years for ¹⁰Be in quartz, and essentially indefinitely for stable nuclides like ³He and ²¹Ne.

Sources

Embed

<iframe src="https://homo-deus.com/lab/isotope-geochemistry/cosmogenic-nuclide/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub