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    Electron ptychography

    Also known as ptychography, multislice electron ptychography, 4D-STEM ptychography

    Electron ptychography is a microscopy method that scans overlapping electron scattering patterns from a sample and reconstructs a high-precision image with algorithms.[1] In 2021 it reached a resolution limit set only by the thermal jiggling of atoms, a regime its developers described as effectively the ultimate limit for resolution.[2]

    Editor reviewedUpdated Materials sciencePhysicsScience
    Key facts

    What it is

    Electron ptychography “works by scanning overlapping scattering patterns from a material sample and looking for changes in the overlapping region”. A fast detector records the patterns, and algorithms reconstruct the image.[1]

    The problem it solves is old. Electron microscopes normally produce images 3 to 10 times worse than their theoretical limit, because lenses are imperfect and electrons scatter many times inside a thick sample. Ptychography tackles this by solving the multiple-scattering problem computationally, rather than relying on better lenses.[3] This computational approach also gives depth information, so atoms can be located in three dimensions.[4]

    Records

    • 2018. A Cornell University team used electron ptychography to set a world record, tripling the resolution of a state-of-the-art electron microscope. The method worked only on ultrathin samples a few atoms thick.[5]
    • 2021. The same team beat its record by a factor of two. It used an electron microscope pixel array detector (EMPAD) and more sophisticated 3D reconstruction algorithms. At this point “the only blurring that remains is the thermal jiggling of the atoms themselves”, which is effectively the ultimate limit at finite temperature.[2] The paper reported instrumental blurring of under 20 picometres (trillionths of a metre).[6]

    Why materials scientists care

    Frontier materials often depend on details at the scale of single atoms: the strain in a thin film or how two twisted layers line up.[7][8] The 2021 advance lets researchers locate atoms precisely in three dimensions.[2] The method can find individual dopant atoms buried inside a crystal, in all three dimensions, from a single projection, with depth resolution below a nanometre.[4] Dopants and strain are among the knobs used to tune superconductors such as nickelate films.[7] Structure identification matters in practice: it was at the heart of the dispute over the autonomous A-Lab’s results, which relied on X-ray diffraction.[9][10]

    Limits

    The 2018 version needed very thin samples.[5] Even at the 2021 limit, thermal motion of the atoms sets a floor on sharpness.[2] See the materials science crash course hub for how characterisation fits with computation (materials-project) and synthesis.

    How it is used and what it costs

    The 2021 record was published in Science on 20 May 2021. The images showed a praseodymium orthoscandate (PrScO3) crystal.[11] Cornell pointed to uses in imaging semiconductors, catalysts and quantum materials, including materials for quantum computing, and in studying atoms at the boundaries where two materials meet.[12] Those boundaries matter for the transistors described in how chips are made and for the strained films behind nickelate-superconductors.

    The method has costs. It is time-consuming and computationally demanding. The researchers said more powerful computers, machine learning and faster detectors could make it more efficient.[13] Because the limit is now the thermal wobble of the atoms, they suggested two ways to sharpen images further: samples made of heavier atoms, which wobble less, or cooling the sample.[13][2]

    Questions readers ask

    What is electron ptychography?

    A technique that scans overlapping electron scattering patterns from a sample and uses algorithms to reconstruct a high-precision image.[1]

    How sharp can electron ptychography get?

    In 2021 a Cornell team reached a point where the only remaining blur came from the thermal jiggling of the atoms themselves.[2]

    What limited the first record-setting ptychography images?

    The 2018 method only worked for ultrathin samples a few atoms thick.[5]

    Sources

    Each numbered claim is a statement we checked against the sources listed with it. Status shows how well established it is.

    1. [1]

      Electron ptychography scans overlapping electron scattering patterns from a sample and uses algorithms to reconstruct a high-precision image from changes in the overlapping regions. confirmedas of 2026-10-10

    2. [2]

      In 2021 the Cornell team improved its record by a factor of two using an electron microscope pixel array detector and 3D reconstruction, reaching a point where only the thermal jiggling of atoms blurs the image. confirmedas of 2026-10-10

    3. [3]

      Electron microscopes normally produce images 3 to 10 times worse than their theoretical limit because of lens imperfections and multiple scattering in the sample, which ptychography overcomes by solving the scattering problem computationally. confirmedas of 2026-10-10

    4. [4]

      Multislice electron ptychography can locate embedded atomic dopants in all three dimensions from a single projection measurement, with sub-nanometre depth resolution. confirmedas of 2026-10-10

    5. [5]

      In 2018 a Cornell team set a world record by using electron ptychography to triple the resolution of a state-of-the-art electron microscope, but only for samples a few atoms thick. confirmedas of 2026-10-10

    6. [6]

      The 2021 electron ptychography work achieved instrumental blurring of under 20 picometres, so atomic column widths were limited by thermal fluctuations of the atoms rather than by the imaging system. confirmedas of 2026-10-10

    7. [7]

      The ambient-pressure nickelate films use epitaxial compressive strain from the substrate to mimic the effect of applied pressure. confirmedas of 2026-10-10

    8. [8]

      A 2011 theory paper predicted that at "magic" twist angles of about one degree, the lowest moiré band of twisted bilayer graphene becomes flat and electron velocity at the Dirac point vanishes. confirmedas of 2026-10-10

    9. [9]

      In early 2024 chemists from University College London and Princeton argued that the A-Lab's X-ray diffraction analysis had systematic errors and that about two-thirds of its predicted compounds were ordered versions of already known disordered compounds. confirmedas of 2024-01-16

    10. [10]

      In January 2026 Nature published an author correction to the A-Lab paper acknowledging concerns about structure identification and clarifying that "novel" meant new to the prediction platform, not necessarily new to science. confirmedas of 2026-01-18

    11. [11]

      The 2021 record was reported in Science on 20 May 2021 using images of a praseodymium orthoscandate (PrScO3) crystal. confirmedas of 2021-05-20

    12. [12]

      Cornell said the method can be used to image semiconductors, catalysts and quantum materials, including those used in quantum computing, and atoms at boundaries where materials are joined. confirmedas of 2021-05-20

    13. [13]

      The 2021 method is time-consuming and computationally demanding; the researchers said it could become more efficient with more powerful computers, machine learning and faster detectors, and that heavier atoms or cooler samples could push resolution further. confirmedas of 2021-05-20

    Revision history (2)
    1. Page created.
    2. Added the 2021 Science paper details, applications, computing cost and routes to higher resolution.

    Created Oct 10, 2026. Last reviewed by an editor on Oct 10, 2026. Next scheduled review: Jan 10, 2027.

    Cite this page

    "Electron ptychography." ContentLora, updated Oct 10, 2026. https://contentlora.com/wiki/electron-ptychography

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