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Latest revision as of 19:52, 31 July 2025

Welcome to the explain xkcd wiki!
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Chemical Formula
Some of the atoms in the molecule are very weakly bound.
Title text: Some of the atoms in the molecule are very weakly bound.

Explanation

This supposed "chemical formula for the universe" merely lists the numbers of atoms of each element that are thought to exist in the observable universe. Usually, chemical formulae imply rather more of a discrete binding together of the atoms involved. They also represent a single molecule of the substance, rather than trying to cover the entire number of atoms in the whole quantity under consideration.

This may be poking some fun at the relative usefulness (or rather, uselessness) of chemical formulas for large organic molecules. While it is a useful concept for teaching people about chemistry and balancing equations, and it was useful in the early days of chemistry to try to categorize and learn about molecules via stoichiometry - it does not give much useful information, such as its structure. For example, even the simple formula C11H15NO2 has 302 registered isomers.[actual citation needed] Many of them are NOT good to eat.[citation needed] For other purposes, formulae may group the components accordingly, such as CH3CCl3 (simplifies to C2H3Cl3, as does an isomer) or [NH4]2CO3 (not usually identified as CH8O3N2, and not strictly an organic compound either).

As is common practice for real compounds that contain organic structures or substructures, the numbers of atoms of carbon and hydrogen are listed before all of the others; the others are listed in alphabetical order. There are estimated to be 1080 atoms of hydrogen (H), by far the most common element in the universe. The next most common element, helium (He), is a long way to the right in the list, and out of view, but would be about a third as many as the hydrogens.

In reality, there is not a fixed number of atoms of each element across the lifetime of the universe. The matter originally created in the Big Bang was unbound protons and neutrons. In the first few minutes, some of these combined to form lightweight nuclei, but most remained as protons (i.e. the nuclei of hydrogen atoms). Other more complex atoms, up to atomic mass 56, formed later (and are still being formed) as a result of stellar nucleosynthesis. Still more massive nuclei have been and are being formed via supernova nucleosynthesis. Although the proportions of these atoms depend in a complex way on the fusion processes involved, and on the stabilities of those nuclei, the most massive atoms are generally both short-lived and less favored to form, so their elemental abundances in the universe are very small. As shown above, the number of americium (Am) atoms is much smaller than those of any other element in the visible part of the "formula". There are slightly fewer atoms of americium in the entire universe than the total number of atoms of hydrogen and oxygen in 1.0 L of liquid water.

The title text is probably referencing gravity, because, for the most part, these atoms would be "held together" only by gravity, and it is a very weak bond indeed.

The numbers of atoms are large, but they are not nameless. Using the long and short scales, these numbers can be described as:

Pos Symb Name Quantity Short Scale name Long Scale name(s) Ranked quantity*
1 C Carbon 1076 Ten quattuorvigintillion Ten thousand duodecillion
Ten duodecilliard
4
2 H Hydrogen 1080 One hundred quinvigintillion One hundred tridecilllion 1
3 Ac Actinium 1067 Ten unvigintillion Ten undecillion ≈84
4 Ag Silver 1069 One duovigintillion One thousand undecillion
One undecilliard
≈68
5 Al Aluminium
Aluminum
1075 One quattuorvigintillion One thousand duodecillion
One duodecilliard
14
6 Am Americium 1026 One hundred septillion One hundred quadrillion ≈84
7 Ar Argon 1075 One quattuorvigintillion One thousand duodecillion
One duodecilliard
11
8 As Arsenic 1070 Ten duovigintillion Ten thousand undecillion
Ten undecilliard
≈40
9 At Astatine 1047 One hundred quattuordecillion One hundred thousand septillion
One hundred septilliard
≈84
10 Au Gold 1069 One duovigintillion One thousand undecillion
One undecilliard
≈68
11 B Boron 1071 One hundred duovigintillion One hundred thousand undecillion
One hundred undecilliard
≈61
12 Ba Barium 1070 Ten duovigintillion Ten thousand undecillion
Ten undecilliard
≈33
13 Be Beryllium 1071* One hundred duovigintillion One hundred thousand undecillion
One hundred undecilliard
≈61
43* He Helium 1079* Ten quinvigintillion Ten tridecilllion 2
73* O Oxygen 1078* One quinvigintillion One tridecilllion 3
* - Information not provided by the comic; Source for ranked data, in particular, does not entirely agree with the quantities that are given in the comic.

The formula as it appears in the comic is truncated. The complete formula of the universe in this style (but arranged in decreasing order of abundance after carbon, which also happens to place hydrogen immediately after) would be C₁₀⁷⁷ H₁₀⁸⁰ He₁₀⁷⁹ O₁₀⁷⁸ Ne₁₀⁷⁶ N₁₀⁷⁶ Fe₁₀⁷⁶ S₁₀⁷⁶ Mg₁₀⁷⁵ Si₁₀⁷⁵ Ar₁₀⁷⁵ Ni₁₀⁷⁵ Ca₁₀⁷⁵ Al₁₀⁷⁵ Na₁₀⁷⁵ Cr₁₀⁷⁵ Ti₁₀⁷⁴ Mn₁₀⁷⁴ P₁₀⁷⁴ K₁₀⁷⁴ V₁₀⁷⁴ Cl₁₀⁷⁴ Co₁₀⁷⁴ F₁₀⁷³ Zn₁₀⁷³ Ge₁₀⁷³ As₁₀⁷² Br₁₀⁷² Li₁₀⁷² Sc₁₀⁷² Cu₁₀⁷² Ga₁₀⁷² Se₁₀⁷² Kr₁₀⁷² Rb₁₀⁷² Sr₁₀⁷² Zr₁₀⁷² Te₁₀⁷² Xe₁₀⁷² Ba₁₀⁷² Ce₁₀⁷² Pb₁₀⁷² B₁₀⁷¹ Be₁₀⁷¹ Y₁₀⁷¹ Nb₁₀⁷¹ Mo₁₀⁷¹ Ru₁₀⁷¹ Pd₁₀⁷¹ Cd₁₀⁷¹ Sn₁₀⁷¹ I₁₀⁷¹ La₁₀⁷¹ Pr₁₀⁷¹ Nd₁₀⁷² Sm₁₀⁷¹ Gd₁₀⁷¹ Dy₁₀⁷¹ Er₁₀⁷¹ Yb₁₀⁷¹ Os₁₀⁷¹ Ir₁₀⁷¹ Pt₁₀⁷¹ Hg₁₀⁷¹ Rh₁₀⁷⁰ Ag₁₀⁷⁰ In₁₀⁷⁰ Sb₁₀⁷⁰ Cs₁₀⁷⁰ Eu₁₀⁷⁰ Tb₁₀⁷⁰ Ho₁₀⁷⁰ Tm₁₀⁷⁰ Lu₁₀⁷⁰ Hf₁₀⁷⁰ Ta₁₀⁷⁰ W₁₀⁷⁰ Re₁₀⁷⁰ Au₁₀⁷⁰ Tl₁₀⁷⁰ Bi₁₀⁷⁰ Th₁₀⁷⁰ U₁₀⁷⁰ Tc₁₀⁰ Pm₁₀⁰ Po₁₀⁰ At₁₀⁰ Rn₁₀⁰ Fr₁₀⁰ Ra₁₀⁰ Ac₁₀⁰ Pa₁₀⁰ Np₁₀⁰ Pu₁₀⁰ Am₁₀⁰ Cm₁₀⁰ Bk₁₀⁰ Cf₁₀⁰ Es₁₀⁰ Fm₁₀⁰ Md₁₀⁰ No₁₀⁰ Lr₁₀⁰ Rf₁₀⁰ Db₁₀⁰ Sg₁₀⁰ Bh₁₀⁰ Hs₁₀⁰ Mt₁₀⁰ Ds₁₀⁰ Rg₁₀⁰ Cn₁₀⁰ Nh₁₀⁰ Fl₁₀⁰ Mc₁₀⁰ Lv₁₀⁰ Ts₁₀⁰ Og₁₀⁰ according to some broad stroke estimates of abundance.

Transcript

[A long panel with a chemical formula trailing off the right side]
C1076 H1080 Ac1067 Ag1069 Al1075 Am1026 Ar1075 As1070 At1047 Au1069 B1071 Ba1070 Be
[Caption below the panel:] The approximate chemical formula for the universe




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