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A story from the invisible · TEM

What the Electron Saw

How a TEM image is really made: two electrons, one thin foil, and a pattern assembled from a billion tiny votes. Scroll at your own pace; every panel below is computed, not drawn.

Manisha Tripathy · A scrolling story · Last updated August 18, 2026

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A one-minute story · Chapter one · The Gun

Every image begins at a point. At the top of the column, a tungsten needle so sharp its end is a few hundred atoms wide lets two electrons go in the same femtosecond. By the bottom of the accelerator they are moving at seven tenths the speed of light, and they have not yet noticed each other.

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Speed buys smallness. As the voltage climbs, each electron's wavelength shrinks far below anything light can manage, until the spacing between atomic planes starts to look roomy.

the ruler shrinks until atoms look far apart
Chapter two · The Lenses

No glass bends an electron, so the column focuses them with magnetic fields, and inside a magnetic lens an electron does not travel in a line; it spirals. The two of them corkscrewed down together, turn for turn, through lenses that are honest about almost everything.

Still together.

Honest about almost everything: rays that pass far from the axis focus short of the rays that hug it. A perfect point becomes a small apology, and the whole craft of high resolution is the management of that apology.

a point, focused into a small apology
Chapter three · The Foil

The foil was sixty nanometers thick, thinner than a soap bubble's wall. Electron A grazed a plane of atoms at exactly the angle the lattice likes, and was turned, losing nothing. Electron B hit the crowd, left some of its energy behind as heat and a bruise, and wandered on with a blurred memory of where it had been.

Signal and noise are not different substances. They are the same electrons, sorted by what they paid at the foil: the elastic ones keep the crystal's geometry in phase, the inelastic ones keep only a receipt for the energy they left behind.

both columns are electrons; only one remembers the lattice
Chapter four · The Pattern

A detector does not take a picture. It keeps score. One dot at a time, the electrons voted, and most votes landed nowhere in particular. The spots are simply the places where the elastic ones could not disagree.

The same pattern, at three honesties of exposure. Statistics is not a nuisance on top of the physics; at this scale, it is the physics.

300, then 30 000, then 3 000 000 electrons

You have never seen an atom. Neither have I. What we have is sharper than seeing: a way to ask a billion electrons the same question, and to keep only the answers they agree on.

A micrograph is not a photograph.
It is a census.

I spend my days asking.

TEM Concepts & Techniques

The whole TEM collection

Hands-on explainers and utilities for transmission electron microscopy, built for students and practitioners. Each opens as its own page.

1 · Diffraction & Indexing

Reading the pattern itself: indexing spots by hand, tilting to a zone axis, and the reciprocal-space geometry underneath both.

Tool

SAED Zone-Axis Indexer

Upload a diffraction pattern, click the transmitted beam and two spots, and get the zone axis: calibration-free ratio + angle matching for FCC, BCC, SC, diamond, HCP, and custom lattices, with a predicted-net overlay to verify.

Tool

Kikuchi Map Navigator

A live Kikuchi map for any crystal: hover a band to see every zone axis strung along it, pick where you are and where you want to be, and get the band to follow, the tilt angle, and the double-tilt holder settings that reach it.

Concept

SAED Indexing, g-Vectors & Real vs. Fake Spots

The by-hand logic behind the indexer: measure two g-vectors from spot ratio and angle, then see whether those two numbers name one zone axis or several at the precision you actually clicked. Score a twin, double diffraction and a second phase against the same extra spots, and tell real Bragg spots from Kikuchi crossings, streaking and detector artifacts.

Concept

Back Focal Plane & Diffraction Focus

An interactive ray diagram of the TEM back focal plane, showing what the diffraction-focus knob (intermediate lens) actually does and how to get sharp SAED patterns.

Concept

Grain Orientations & Reciprocal Space

Orientation as a rotation of the reciprocal lattice: zone-axis tilts with Laue circle and Kikuchi lines, misorientation (LAGB, HAGB, twins), polycrystal rings and texture arcs, plus an orientation-terminology reference.

Concept

CBED & Lamella Thickness

CBED vs SAED, and how two-beam Kossel–Möllenstedt fringes give specimen thickness via the Kelly–Allen extrapolation, an interactive schematic.

Concept

Reciprocal Space & the Ewald Sphere

The crystal and its inside-out mirror world, side by side; then a live diffraction simulator where voltage flattens the sphere, tilt swings it, and thickness grows the relrods that decide which spots light up.

2 · Imaging & Contrast

What actually makes the image: mass-thickness, diffraction, and phase contrast, the detectors that catch them, and how to read the result honestly.

3 · FAQ

Real lab questions, each answered and linked back to the interactive guide that shows the physics.

Simplifications made in this story
Cite this page: Tripathy, Manisha. “What the Electron Saw.” untethered atom, 2026, https://untetheredatom.com/stories/what-the-electron-saw.
BibTeX
@misc{tripathy2026electronstory,
  author = {Tripathy, Manisha},
  title  = {What the Electron Saw: How a TEM Image Is Really Made},
  year   = {2026},
  howpublished = {\url{https://untetheredatom.com/stories/what-the-electron-saw}},
  note   = {Illustrated scrolling story}
}
Last updated: August 18, 2026.