IndexRelativité et cosmosSticker
Primordix
Big Bang Nucleosynthesis / Primordial Helium Physics
Primordix is a Pixelated Physics law character, one of our relativity and cosmos designs. In the first minutes after the Big Bang, about a quarter of ordinary mass became helium-4 before many free neutrons decayed. This is a 3" × 3" pixel-art sticker. The physics panel below gives the equation, what each symbol means and the sources.
Shipping calculated at checkout by destinationMade to order, ships in 2–5 business days
One equation · 60 seconds · one try · once a day.
Details
Size3″ × 3″
3″ × 3″ kiss-cut sticker.
Shipping
Shipping calculated at checkout by destination. Printed to order for you.
Returns & replacements21 days
Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.
Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.
The physics
In the first minutes after the Big Bang, the ratio of neutrons to protons froze out at a small fixed value. Nearly all those neutrons ended up in helium-4, which predicts the fraction of ordinary mass that came out as helium, matching observations.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(Y_p\) | primordial helium-4 fraction by mass (observed 0.245 ± 0.003) | \(\mathrm{1}\) |
| \(n/p\) | neutron-to-proton ratio | \(\mathrm{1}\) |
| \(Q\) | rest-energy difference between neutron and proton | \(\mathrm{MeV}\) |
| \(k_B\) | Boltzmann constant | \(\mathrm{eV/K}\) |
| \(T_f\) | temperature when the weak reactions freeze out (thermal energy about 0.7–0.8 MeV) | \(\mathrm{K}\) |
| \(m_n, m_p\) | neutron and proton masses | \(\mathrm{kg}\) |
| \(c\) | speed of light in vacuum | \(\mathrm{m/s}\) |
Sources
- Alpher, Bethe & Gamow (1948) The Origin of Chemical Elements, Phys. Rev. 73, 803 (history; not the modern calculation) (opens in a new tab)
- Fields, Molaro & Sarkar — Big-Bang Nucleosynthesis, Particle Data Group Review of Particle Physics (2024) (opens in a new tab)
- Aver, Olive & Skillman (2015) The effects of He I λ10830 on helium abundance determinations, JCAP 07, 011 (Y_p = 0.2449 ± 0.0040) (opens in a new tab)
- Particle Data Group (2024) — neutron listing (mean life 878.4 ± 0.5 s from ultracold-neutron bottles; beam–bottle disagreement noted) (opens in a new tab)
- Yue et al. (2013) Improved Determination of the Neutron Lifetime (beam method, 887.7 s), Phys. Rev. Lett. 111, 222501 (opens in a new tab)
Source Peebles, P. J. E. (1966). Primordial Helium Abundance and the Primordial Fireball. II. The Astrophysical Journal 146, 542.doi.org/10.1086/148918 (opens in a new tab)