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Crystallographic Atlas · vol. VI Element 6 · [He] 2s² 2p² · 12.011 u
“All life is woven from a single thread of six protons.”
CO2 · 412 ppm

Atmosphere

Carbon begins as breath. Suspended in the troposphere as carbon dioxide, each molecule traces a slow ellipse through the planet's thermal currents before condensing into leaf, into wood, into coal, into diamond.

isotope

12C

Stable, the standard against which all atomic masses are measured. 98.93% of natural carbon.

half-life: ∞
isotope

13C

Magnetically active, the silent narrator of every NMR spectrum. 1.07% abundance.

spin: ½
isotope

14C

The clock of the dead — its slow decay calibrates archaeology.

half-life: 5,730 yr
measurement

0

Atmospheric concentration in parts per million, May 2026 — Mauna Loa.

ppm CO2
“Six atoms in a ring, repeating without end — the geometry of all things stable.”
sp2 · planar trigonal · ρ 2.267 g/cm³

Graphite

Layered sheets of hexagonal carbon, bound covalently within each plane and held weakly between them by van der Waals whisper. The pencil's mark is the residue of those whispers letting go.

layer · 001

Basal Plane

Bond length 1.42 Å. Each carbon shares electrons with three neighbors in a delocalized π-cloud.

σ + π
interlayer

3.35 Å

The vertical distance between sheets — wide enough for sheets to slide, narrow enough to hold.

van der Waals
stacking

ABA

Bernal stacking — the canonical configuration in which alternate sheets register exactly above one another.

P6₃/mmc
conductivity

0

In-plane electrical conductivity, S/cm. Across planes, the figure collapses by three orders of magnitude.

σ S/cm
use · graphology

2H

Pencil grade: a balanced ratio of graphite to clay. The streak is Bernal stacking dismantled by friction.

9 parts C : 4 parts kaolin
thermal

3823 K

Sublimation point. Graphite refuses to liquefy at standard pressure — it simply ascends.

at 1 atm
“What is a diamond, but graphite that has remembered how to refuse light?”
sp3 · tetrahedral · Fd-3m · 3.515 g/cm³

Diamond

Under 45 kilobars and 1300 K — the conditions of the lower mantle — carbon abandons its layered laziness. Each atom binds covalently to four neighbors at perfect 109.47° angles. The result is the hardest natural substance.

hardness

0

Mohs scale. Diamond defines the upper bound. Nothing in the mineral kingdom scratches it but itself.

absolute · max
refractive index

0

Light slows by more than half on entry. The internal reflections produce the cut diamond's celebrated fire.

nD
thermal conductivity

0

Watts per meter-kelvin — the highest of any natural material, five times that of copper.

W/(m·K)
bond length

0

Carbon-carbon σ-bond, in ångströms. Slightly longer than graphite, dramatically stiffer.

Å · sp³–sp³
band gap

0

Wide-gap insulator at room temperature; the visible spectrum passes through unobstructed.

eV · indirect
origin

150 km

Typical depth of formation in cratonic lithosphere. Most diamonds are older than the oldest fossils.

3.3 Ga
“Sixty atoms folded into a soccer ball — discovered in soot, named for an architect.”
C60 · Ih symmetry · 720.66 g/mol

Fullerene

Twelve pentagons and twenty hexagons stitched into a closed cage of perfect icosahedral symmetry. Synthesized in 1985 by vaporizing graphite into helium — a discovery that opened the third dimension of carbon's possibility.

vertices

60

One carbon at each vertex of the truncated icosahedron.

edges

90

Bonds — 60 single, 30 double — distributed along pentagon-hexagon and hexagon-hexagon seams.

faces

32

12 pentagons (the "defects" that close the cage) and 20 hexagons.

diameter

7.1 Å

Outer cage. The interior cavity (5 Å) is large enough to enclose a single helium atom.

discovered

1985

Kroto, Curl, and Smalley at Rice University. Nobel Prize, Chemistry, 1996.

named for

R. B. Fuller

Inventor of the geodesic dome — the architectural cousin of the buckminsterfullerene cage.

“One atom thick. Two hundred times stronger than steel. Almost transparent. Almost nothing.”
C2 · monolayer · 0.345 nm

Graphene

A single sheet of graphite, isolated in 2004 with adhesive tape and the patience of two physicists in Manchester.

Mechanically the strongest material ever measured. Electrically a zero-gap semiconductor in which charge carriers behave as massless Dirac fermions.

It is the limit-case of carbon — a two-dimensional crystal that should not, according to the Mermin-Wagner theorem, exist at finite temperature.

And yet.

0 atom thick
0 × steel
0 % transparent
0 isolated