Can You Keep Zooming In Infinitely?

Veritasium traces how physicists imaged atoms by switching from light to electrons and then correcting lens flaws.

Wavelength Barrier

• Visible light (380-750 nm) diffracts around 0.1 nm atoms so they remain invisible (0:00-2:12).
• Louis de Broglie showed electrons have 100,000-times-shorter wavelengths when accelerated to 80 % c (2:12-4:09).

First Electron Microscopes

• Ernst Ruska built the first TEM in 1931 using electromagnetic lenses for >10,000× magnification (4:09-5:11).
• Otto Scherzer proved spherical aberration is unavoidable in round lenses, blurring the image (5:11-8:55).

Scanning Breakthrough

• Albert Crewe added a bright field-emission source and scanning mode, producing the first single-atom images by 1970 (8:55-13:24).

Aberration Correction

• Knut Urban, Max Haider and Harold Rose built a hexapole corrector that cancels spherical aberration (13:24-18:08).
• Resolution reached 0.13 nm in 1997, enabling routine atomic imaging (18:08-21:09).

00:00:00Major Topic

00:00:00 Why is it hard to see atoms?

• The host introduces the core question: what happens if you keep zooming in on a tiny piece of metal (3 millimeters across). He hints at seeing actual atoms at extreme magnification.
• The setting emphasizes the extreme shielding and expense of the labs, underscoring the significance of modern atomic imaging.
• Core claim: atoms are far smaller than visible light wavelengths, making visible-light imaging impossible for atoms.
• Visual cue described: each “blob” in the zoomed-in images corresponds to an actual atom; the implication is that advanced techniques reveal atomic structure directly.

Note: This section frames the problem and motivates the drive to use shorter-wavelength probes than visible light.

00:02:1200:02:12 How does an electron microscope work?

• The key pivot: light cannot resolve atoms because its wavelengths (380–750 nm) are ~3000x larger than an atom (~0.1 nm).
• The solution is to use particles with wavelengths far shorter than visible light; electrons are suitable because of wave-particle duality (de Broglie): wavelength λ = Planck's constant / (mass × velocity).
• The beam in a microscope is produced by accelerating electrons (here, 300 kV) into a column; at such relativistic speeds, electrons have very short wavelengths (a few picometers), enabling much higher resolution.
• The concept of relativistic electrons is introduced: ~80–99% of the speed of light depending on acceleration, yielding a tiny De Broglie wavelength.
• The practical question: how do you focus these fast electrons if light lenses don’t apply? Magnetic (electromagnetic) lenses are used instead.
• The critical figure: a magnetic lens exerts a Lorentz force on moving electrons, bending their paths toward the axis to form a focus.

00:04:0900:04:09 Transmission Electron Microscope (TEM)

• The first functional idea: using multiple electromagnetic lenses to magnify a tiny, thin sample (around 100 nm thick).
• Imaging flow: accelerated electrons pass through a thin sample, creating an imprint of the sample based on electron transmission; a second lens magnifies the imprint onto a fluorescent detector, forming a TEM image.
• Early TEMs were rudimentary and not vastly superior to optical microscopes, but they rapidly improved with more lenses, enabling higher magnification.
• Historically, TEM reached magnifications >10,000x by the mid-1930s, allowing detailed views of insects, bacteria, and even viruses.

00:05:1100:05:11 Spherical Aberration

• A major theoretical roadblock: Scherzer (1936) argued that radially symmetric magnetic lenses have inherently non-linear deflection for electrons far from the optical axis, causing spherical aberration (blur that worsens with higher magnification).
• Explanation of the defect: electrons farther from the axis experience stronger-than-expected deflection due to non-linear magnetic fields; the focal point becomes smeared rather than a single point.
• This aberration imposes a fundamental limit on TEM resolution when using conventional, radially symmetric lenses.
• A proposed workaround exists: add a second, diverging lens to cancel aberrations. In theory, two oppositely biased lenses could counteract spherical aberration. In practice, however, with magnetic lenses, true diverging lenses are not possible due to the requirement of two poles and closed magnetic field loops; field lines must start and end on poles, so a purely diverging behavior cannot be achieved with a single symmetric lens.
• The consequence: Scherzer’s limit effectively halted progress in pushing TEM resolution using traditional lens designs.

00:08:5500:08:55 Field Ion Microscope

• As a workaround to image resolution limits, another technology emerged: the field ion microscope (FIM).
• FIM uses ionization of gas atoms (e.g., helium or neon) at an atomically sharp tip; the positively charged tip ionizes the gas, and the emitted ions form an image of the tip's atomic structure.
• Limitation: FIM reveals only the apex of the tip, not the entire sample, and image quality is modest compared to what high-resolution TEM could eventually achieve.

00:11:0500:11:05 Scanning Transmission Electron Microscope (STEM)

• A shift in technique: instead of imaging the entire sample at once, STEM scans a focused electron beam across the sample and builds an image from sequential probes (like a raster scan).
• This scanning approach was inspired by CRT-era cathode-ray tube display technology, where a focused electron beam scans a screen to create an image.
• STEM offered improvements by sampling tiny regions with high current density, enabling higher contrast and resolution improvements over conventional TEM imaging of large areas.

00:13:2400:13:24 Probe microscopes

• Another family of tools emerges: probe microscopes (e.g., atomic force microscopy, scanning tunneling microscopy) that do not rely on forming images via lenses, but instead sense nanoscale forces or electron interactions as a tip scans the surface.
• These devices are powerful and can resolve atomic-scale topography, sometimes in 3D, but they do not image single atoms in the same direct way as TEM imagery.
• The takeaway: while valuable for surface structure, these probes are more like “feeling” atoms rather than “seeing” them in an image; they do not provide the same level of direct atomic imaging as aberration-corrected electron microscopy.

00:14:0200:14:02 An unlikely solution

• The video introduces a potential path to break the spherical aberration barrier without preserving radial symmetry: a scheme involving intentionally distorted, non-symmetric magnetic fields to create a tiny divergent component that could cancel the aberration when recombined with a second distorted lens.
• The concept is non-intuitive: by using a nested array of magnets (hexapole, octopole, decapole magnets) to massively distort the beam into a non-circular shape (e.g., triangular saddle), one can produce a central region with a slight divergence that could counteract spherical aberration.
• The plan hinges on precise alignment of a pair of such distorted lenses so their net effect is to remove aberration without destroying the overall image quality.
• Skepticism is high: the method seems almost fantastical and was viewed as a high-risk, low-probability approach by many in the field.

00:18:0800:18:08 Seeing atoms

• The breakthrough occurs: Urban, Haider, and Rose manage to stabilize their multi-pole lens design, achieving a dramatic improvement in resolving power: down to 0.13 nanometers, enabling the direct imaging of single atoms.
• The narrative depicts the moment where the team tests the lens and, after stabilization, produces crystal-clear images of atoms; the demonstration becomes a watershed moment in microscopy.
• Following the breakthrough, the scientific community takes notice; a conference reveal turns into a public demonstration of unprecedented atomic resolution.
• The video highlights the significance of aberration correction as a game changer across materials science, engineering, and chemistry, enabling researchers to relate atomic structure to properties and behavior.

00:20:0000:20:00 Aftermath and impact

• The final message emphasizes the practical implications: with aberration correction, seeing atoms (and measuring atomic distances) becomes essential for meaningful material science and engineering work.
• The host underscores that modern universities typically require access to aberration-corrected instruments for cutting-edge research, marking a new era in microscopy.

00:21:3000:21:30 Close

• The video closes by summarizing that aberration correction transformed TEM/STEM into tools capable of imaging the atomic world with high fidelity, establishing a new baseline for nanoscale science.

00:22:0000:22:00 References and resources mentioned

• A long list of foundational papers, reviews, and resources is provided to guide deeper study into electron optics, aberration correction, and atom imaging.

00:23:0000:23:00 Personal note about data privacy sponsor (Incogni)

• A brief segment about data brokers and a sponsor (Incogni) discussing how the service helps remove personal data from the open internet; this is a paid sponsorship and not part of the scientific content.

00:25:0000:25:00 Acknowledgments and credits

• The transcript closes with thanks to collaborators, sponsors, and contributors who supported the video production and research.

00:26:0000:26:00 Final takeaway

• The central theme: the ability to see atoms hinges on overcoming fundamental optical limits with ingenious engineering, culminating in the aberration-corrected TEM that makes visible the atomic world as a standard scientific tool.

Resources Mentioned

• Busch, H. (1926). Berechnung der Bahn von Kathodenstrahlen im axialsymmetrischen elektromagnetischen Felde. Annalen Der Physik.
• Ruska, E. (1986). The development of the electron microscope and of electron microscopy. Nobel Lecture.
• Scherzer, O. (1936).
• Jensen, G. (2015). Part 1: EM Lenses. Caltech.
• Field Ion Microscope via Wikipedia.
• Transmission Electron Microscope via Wikipedia.
• Albert V. Crewe biography via UChicagoNews.
• McMullan, D. (1993). Scanning Electron Microscopy 1928 - 1965. Microscopy Society of America.
• Electric and Magnetic Field Lenses via MIT.
• Haider, M. et al. (1998). Towards 0.1 nm resolution with the first spherically corrected transmission electron microscope. Journal of Electron Microscopy.
• Haider, M. et al. (1998). Electron microscopy image enhanced. Nature.
• Krivanek, O. et al. (2022). Aberration correction in the STEM. CRC Press EBooks.
• Crewe, A. V., et al. (1970). Visibility of Single Atoms. Science.
• Secrets of Size: Atoms to Supergalaxies via the BBC.
• Pennycook, S. J. (2012). Seeing the atoms more clearly: STEM imaging from the Crewe era to today. Ultramicroscopy.
• Rose, H. H. (2009). Historical aspects of aberration correction. Journal of Electron Microscopy.
• Kavli Prize in Nanoscience (Kavli2020).
• Vogt, T. (2019). Aberration-Corrected Electron Microscopy.
• Images & Video: Available at https://ve42.co/AtomsVisuals
• Snatoms (molecular modeling kit) at https://ve42.co/SnatomsV
• Incogni sponsor page: https://incogni.com/veritasium
• Additional lab visuals, sample holders, and demonstrations in the Urban/Rose/Haider segment

Distilled Visual Descriptions (for recreation)

• Early conceptual TEM: a beam of electrons accelerated down a central axis, encountering multiple magnetic lenses that bend the beam toward a focal point on a sample placed at the focal plane.
• Transmission imaging: a thin sample yields a transmission imprint; a second lens projects this imprint onto a fluorescent detector to form an image.
• Spherical aberration: the outer rays focus too strongly due to non-linear magnetic field behavior, creating a blur that worsens with magnification.
• Aberration correction concept: introduce a controlled, diverging component via non-symmetric, multi-pole magnets to counterbalance the aberration, then recompose into a corrected, sharp image.
• Final corrected image: atomic-scale imaging with a resolved lattice showing atoms such as Sr, Ti, and O with minimal distortion; the contrast reveals atomic positions and spacings.

> Blockquote: "This is what happens if you just keep zooming in: 1,000 times, 100,000 times, 50 million times. Each of these blobs is an actual atom." > Speaker: Veritasium

> Blockquote: "The wavelength is the Planck constant over the momentum, right? So if we calculate that, we come to around between 2 to 3 picometers." > Speaker: Veritasium

> Blockquote: "Unfortunately, we could never make it work. After many heartbreaking attempts, we were forced to admit defeat." > Speaker: Veritasium

Key Figures and Concepts (short glossary inline)

• de Broglie wavelength: matter’s wave-like nature; wavelength λ = h / p, where h is Planck's constant and p is momentum.
• Lorentz force: the force on a charged particle moving through a magnetic field, F = q(v × B).
• Transmission Electron Microscope (TEM): an electron microscope that transmits electrons through a thin sample to form an image.
• Scanning Transmission Electron Microscope (STEM): a TEM variant that scans a focused beam across the sample, building an image pixel-by-pixel.
• Field Ion Microscope (FIM): imaging technique that reveals atomic structure at the tip of a sharp needle by ionizing gas atoms at the surface.
• Spherical aberration: a lens defect where outermost rays focus at different points than central rays, causing blur.
• Aberration correction: engineering approaches to counteract lens defects to produce sharper images.
• Hexapole/Octopole/Decapole magnets: multi-pole magnetic configurations used to distort and then correct beam shapes for improved imaging.
• Kavli Prize in Nanoscience: a prestigious award recognizing breakthroughs in nanoscale science, including aberration correction in electron microscopy.

References to Tools and Companies Mentioned

• Incogni: a service to protect personal data by contacting data brokers on your behalf.
• Snatoms: a molecular modeling kit mentioned as a product by the creator (Derek Veritasium)
• Various universities and labs around the world (University of Sydney, UChicago, Caltech, etc.)

Topics

• Atomic Imaging
• Electron Microscopy
• Aberration Correction
• Transmission Electron Microscopy (TEM)
• Scanning Transmission Electron Microscopy (STEM)
• Field Ion Microscopy (FIM)
• Multi-Pole Magnet Optics
• History of Microscopy
• Lab Instrumentation
• Science Communication