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A New Kind Of Matter - Professor Paul Steinhardt - #058

Professor Paul Steinhardt is a theoretical physicist and cosmologist at Princeton University, Director of the Princeton Centre for Theoretical Science and an author. Despite Professor Steinhardt's resume reading like a scientist, today's story is closer to that of a crime detective novel t

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Chris Williamson HostPaul Steinhardt Guest

Topics Discussed

Episode Summary

Executive Summary: Professor Paul Steinhardt explains the unlikely discovery of quasicrystals, a new state of matter once thought impossible because crystals were believed to require periodic atomic order. He recounts the theoretical loophole, the first lab discovery, and a decades-long detective hunt that traced a naturally occurring quasicrystal to a meteorite from the early solar system, revealing new clues about planetary formation and promising applications in stronger alloys and photonics.

Main Topics: What quasicrystals are and why they were once considered impossible (Priority: 5/5): Steinhardt explains the old crystallography rule that only a few repeating symmetries were possible, like ordinary crystals, and why pentagonal/five-fold order was considered forbidden under periodic arrangements. The loophole: two interlocking patterns can create forbidden symmetries (Priority: 5/5): He and his student showed that allowing two structures to repeat at different, non-harmonic rates makes quasi-periodic order possible, producing infinite patterns once thought impossible in 2D and 3D. The first laboratory discovery and scientific validation (Priority: 5/5): Dan Shechtman’s electron diffraction data matched Steinhardt’s theoretical predictions, confirming that quasicrystals could exist physically despite decades of skepticism. The detective story of finding quasicrystals in nature (Priority: 5/5): Steinhardt describes museum searches, database sleuthing, fake samples, hidden collector records, and international collaboration that eventually traced a natural sample to a remote Russian mineral occurrence. Meteorite origin and implications for the early solar system (Priority: 4/5): Lab analysis showed the sample was not terrestrial contamination but part of a meteorite, possibly formed before planets existed, suggesting exotic high-energy processes in space. Materials applications: stronger alloys and photonics (Priority: 4/5): Quasicrystals already improve some aluminum alloys and may enable photonic structures that guide light like semiconductors guide electrons, opening future materials and electronics applications.

Key Arguments: The old rule about allowed crystal symmetries was not universally true; it applied only to periodic single-shape repetition. If two building blocks repeat at different frequencies, previously forbidden symmetries such as five-fold order become possible. The existence of a matching electron diffraction pattern confirmed the theory experimentally. Natural quasicrystals are not impossible; they can exist in rare environments, but the sample’s origin had to be traced through detective work. The meteorite specimen likely formed in early solar-system conditions, meaning quasicrystal formation predates Earth and may reveal unknown space processes. Understanding quasicrystal formation can improve industrial materials and support new photonic technologies. Some quasicrystals were already used unknowingly in aerospace alloys before being identified by microscopy. The natural sample’s chemistry and structure suggest high-energy impacts in space may help form quasicrystals.

Data Points: Initial quasicrystal discovery: 1980s - Steinhardt and student Dev Levine developed the theoretical loophole; Dan Shechtman’s experimental discovery followed soon after. Search start for natural samples: 1998 - Steinhardt began systematic database searches for quasicrystals in nature. Florence museum sample breakthrough: 2009 - Luca Bindi contacted Steinhardt and helped identify a promising mineral sample. Remote field expedition: July 2011 - Team traveled to the Koryak Mountains in northern Kamchatka to collect more material. Number of confirmed quasicrystal grains: 9 - Steinhardt says the team has since found nine different grains in the meteorite material. Number of mineral colors/types in the showcased tiling model: 4 - He describes a three-dimensional quasicrystal model containing four different tile types. Original search duration before major breakthrough: About 15 years - He spent roughly 15 years before developing a systematic search method and finding the key sample. Sample age context: As old as the solar system - The meteorite containing the quasicrystal likely formed before planets formed. Quasicrystal symmetries mentioned: Five-fold, ten-fold - He notes one structure with five-fold symmetry and another with decagonal (tenfold) symmetry. Number of chemistry types found in the meteorite: 3 - The team identified three distinct quasicrystal compositions in the meteorite.

Pivotal Quotes: "What we showed is that all the rules about what's allowed and disallowed get broken." — Paul Steinhardt: Explaining the theoretical loophole that made quasicrystals possible with two non-harmonically repeating building blocks. "we discovered a loophole in this thinking." — Paul Steinhardt: Describing the key conceptual breakthrough that overturned the old crystallography assumption. "the story gets even more interesting because it turns out to have a connection to the very early solar system." — Paul Steinhardt: Summing up why the meteorite discovery expanded the significance of the quasicrystal beyond mineralogy.

Implications: The story shows how one scientific loophole can overturn a settled field, reveal ancient cosmic processes, and inspire new materials with practical value in aerospace and photonics.

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Chris Williamson in long-form conversation with the world's most interesting people - psychologists, scientists, authors, comedians and entrepreneurs - on life, science, health, fitness, business and philosophy.

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