Modern WisdomA New Kind Of Matter | Professor Paul Steinhardt
CHAPTERS
- 0:00 – 2:24
Why atomic arrangement matters: the promise of a “new kind of matter”
Steinhardt frames the episode around the discovery of quasicrystals—an unexpected new form of solid matter—and why the way atoms arrange themselves can radically change material properties. He sets up the central theme: something long believed impossible turned out to be real, launching a scientific and human adventure.
- •Atomic arrangement (structure) matters as much as chemistry (e.g., diamond vs graphite)
- •Science once believed the catalog of possible solid structures was essentially complete
- •The book “The Second Kind of Impossible” chronicles the discovery and its aftermath
- •Quasicrystals represent a new class of ordered matter with unusual symmetries
- 2:24 – 7:05
The “first kind of impossible”: why certain symmetries were forbidden
Using a tiling-your-shower analogy, Steinhardt explains why perfect pentagons (and other “forbidden” symmetries) can’t tile space periodically. This mathematical restriction was historically carried over into crystallography, shaping what scientists thought nature could and could not build.
- •Periodic tilings allow only a limited set of symmetries (e.g., 2,3,4,6-fold)
- •Perfect pentagons can’t fill space without gaps—rigorously provable
- •Crystals were assumed to require repeating unit cells, so forbidden symmetries seemed impossible in matter
- •Atoms ‘dislike’ empty space, reinforcing the belief nature would avoid such structures
- 7:05 – 9:32
The loophole: breaking the rules with quasiperiodic order
Steinhardt describes the key insight he and student Dov Levine found: the impossibility result depends on hidden assumptions—especially strict periodic repetition. Allow multiple building blocks and allow them to combine in a non-repeating (quasiperiodic) way, and forbidden symmetries become possible.
- •The classical ‘forbidden symmetry’ rule assumes a single repeating building block (periodicity)
- •Two (or more) tiles/building blocks at incommensurate frequencies enable quasiperiodic tilings
- •Quasiperiodicity allows fivefold symmetry while still filling space
- •This opens an infinite family of new patterns/structures in 2D and 3D
- 9:32 – 14:45
Experimental shock: Shechtman’s accidental discovery and the birth of “quasicrystals”
A parallel experimental discovery by Dan Shechtman produces diffraction evidence of forbidden symmetry in a real material—without a theory to explain it. Steinhardt recognizes the pattern immediately as matching his team’s predicted diffraction signature, catalyzing the field and the term “quasicrystal.”
- •Shechtman finds a material whose electron diffraction violates crystallography’s old rules
- •Diffraction patterns act as structural fingerprints of atomic organization
- •Steinhardt’s theoretical diffraction prediction matches the experimental data by eye
- •The term “quasicrystal” reflects quasiperiodic (not periodic) order
- 14:45 – 19:31
Why wasn’t it found in nature? From lab curiosity to a global search strategy
After lab synthesis, Steinhardt becomes obsessed with the absence of natural quasicrystals despite abundant natural crystals. Initial museum searches fail, leading to a more systematic approach using databases of diffraction patterns and targeted testing of candidate samples.
- •Key puzzle: thousands of natural crystals known—why no natural quasicrystals?
- •Early attempts: searching museum collections and back rooms for misidentified specimens
- •Later approach: computational scans of diffraction databases for near-quasicrystal signatures
- •Repeated candidate testing yields years of failure and dwindling interest from others
- 19:31 – 22:47
Luca Bindi joins: the Florence museum specimen that changes everything
An enthusiastic Italian mineralogist, Luca Bindi, answers Steinhardt’s old call for collaborators. After many failed candidates, Bindi identifies a promising museum specimen with similar chemistry to a known lab quasicrystal; microscopic grains from it produce a remarkably perfect quasicrystal diffraction pattern.
- •Bindi volunteers access, energy, and persistence—becoming a pivotal partner
- •A stored specimen in Florence has chemistry similar to known quasicrystal alloys
- •Tiny grains mounted on a needle and analyzed at Princeton show exquisite quasicrystal diffraction
- •The discovery raises new questions about rarity and formation conditions
- 22:47 – 25:07
New mysteries: reactive metals, oxygen-rich rock, and the start of the detective story
Finding the quasicrystal is not the end—its context is baffling. The quasicrystal contains reactive metals (aluminum-copper-iron) embedded in an oxygen-rich environment, seemingly contradicting how such alloys should survive, pushing the team into an international investigation of origin and authenticity.
- •Why is it so rare and present only as tiny grains?
- •Why would nature form metallic Al-containing alloy in oxygen-rich surroundings?
- •The team suspects there’s a hidden natural process they don’t understand
- •The story shifts from discovery to provenance, intrigue, and forensic verification
- 25:07 – 28:48
The “second kind of impossible”: expert skepticism and the aluminum paradox
Geologist Lincoln Hollister tells Steinhardt the sample can’t be natural because metallic aluminum should not exist on Earth—aluminum binds to oxygen. Steinhardt reframes the claim: is it mathematically impossible (first kind) or merely ‘impossible under assumptions’ (second kind), keeping the investigation alive and widening hypotheses (deep Earth vs space).
- •Hollister’s objection targets metallic aluminum, not the quasicrystal symmetry
- •Metallic Al is expected to oxidize; terrestrial natural occurrence seems ruled out
- •Steinhardt distinguishes rigorously impossible vs assumption-bound impossible
- •Hypotheses emerge: deep Earth transport or extraterrestrial origin
- 28:48 – 32:27
Washington setback: meteorite experts say ‘no’—so provenance becomes everything
At the Smithsonian, meteorite expert Glen MacPherson also insists the sample can’t be meteoritic. The team commits to two synchronized tracks: trace the rock’s chain of custody and run lab tests on the remaining microscopic grains to determine whether the material is industrial contamination or truly natural.
- •MacPherson provides multiple reasons it ‘can’t be a meteorite’
- •Two-track plan: provenance investigation + laboratory forensics
- •High stakes: most original sample material has already been consumed in testing
- •Daily progress alternates between breakthroughs, dead ends, and near-disasters
- 32:27 – 37:51
Collectors, databases, and fakes: the mineral world’s hidden economy
Museum records show the specimen came from an Amsterdam collector, but he can’t be found at first. Broadcasts to mineral-collecting communities yield several alleged matches; testing reveals widespread fakery and mislabeling, illustrating how counterfeit or mistaken specimens can propagate even into museums.
- •Florence records: specimen purchased with thousands of others from an Amsterdam collector (~1990)
- •Mindat.com and collector networks help solicit comparable samples worldwide
- •Four Western samples prove fake (wrong chemistry), highlighting mineral fraud risk
- •A Russian museum sample is known ‘official’ but cannot be destructively tested
- 37:51 – 44:14
The last thread unravels—then a miracle: the widow, the diary, and the smuggling trail
A lead to a Soviet-era author in Israel raises red flags: missing notebook, vague answers, and demands for payment. When the trail seems dead, chance intervenes—an Amsterdam neighbor turns out to be the collector’s widow, who produces a secret ledger/diary detailing how the specimen was obtained via illicit exchanges tied to Eastern Europe.
- •The Israeli contact confirms involvement but can’t produce trustworthy field notes or samples
- •Steinhardt abandons this unreliable route despite it being the ‘last thread’
- •Serendipitous connection: Amsterdam neighbor is the collector’s widow
- •A secret diary/ledger reveals acquisition via Romania and an intermediary ‘Tim’
- 44:14 – 47:08
From ‘Tim the Romanian’ to Saint Petersburg: connecting the specimen to Soviet science
Attempts to locate ‘Tim’ fail, but a second, more secret diary reveals the supply chain runs through a Saint Petersburg laboratory—linking the Florence specimen to the same source as the Soviet-era mineral publication. The team concludes the material is part of a larger, murky extraction-and-export story, and searches for the true original field collector.
- •The ‘Tim’ lead becomes a dead end despite intensive searching
- •A second hidden diary ties the Romanian connection to a Saint Petersburg lab
- •The Florence rock is linked to the same material used to define an ‘official’ mineral sample
- •The team no longer trusts the published discoverer story and seeks the real field origin
- 47:08 – 49:09
Northern Kamchatka expedition: bureaucracy, tundra travel, and mining for grains like gold
The provenance trail ultimately points to a remote, restricted region in Far Eastern Russia (Kamchatka/Koryak Mountains). With no sample left and a crucial meteorite hypothesis emerging, Steinhardt assembles an international team and privately funded expedition, enduring permissions, harsh logistics, and exhaustive grain-by-grain searching after panning stream sediments.
- •True field source identified: remote Koryak Mountains, northern Kamchatka peninsula
- •Region is restricted for defense/mining reasons; requires extensive permissions (FSB/military/local)
- •Field method: collect vast sediments, pan for dense grains, bring back millions for screening
- •High risk/low probability—yet the only path to confirm and extend the science
- 49:09 – 1:09:50
Confirmation and consequences: a meteorite quasicrystal, new variants, and future applications
Back in the lab, the team confirms quasicrystal grains attached to unmistakable meteorite material, validating the entire detective trail. Steinhardt explains candidate formation mechanisms (e.g., ‘solar lightning,’ presolar grains), notes multiple quasicrystal compositions found, and outlines why new symmetries can enable novel mechanical and photonic technologies.
- •Definitive link: quasicrystal grains physically associated with meteorite fragments
- •Possible origins: early-solar-system electrical processes or even presolar/extrasolar events
- •Three quasicrystal compositions found; one discovered in nature before being made in the lab
- •Applications: harder aluminum alloys; photonic quasicrystals as ‘semiconductors for light’
