A question the internet answers badly
The Window That Never Flowed
You have heard it from a tour guide, a teacher, a documentary: glass is secretly a very slow liquid, and that is why the windows in old cathedrals are thicker at the bottom — centuries of glass quietly oozing downward. It is one of the most repeated facts that is simply not true. Glass is an amorphous solid, sitting hundreds of degrees below the temperature where it could flow at all. Below you can drive a windowpane from a furnace down to room temperature and watch how long it would take to sag — one second when it's molten, longer than the age of the universe when it's cold. Then we'll find where the old window's uneven thickness actually comes from. Every number is recomputed in front of you; 16/16 checks green.
1 · So what is glass?
Glass is made by melting sand-and-soda to a runny liquid and then cooling it fast enough that it never gets the chance to crystallize. The atoms freeze in place still arranged in the jumble they had as a liquid — no neat repeating lattice like ice or quartz, just disorder, locked. That frozen-disorder state has a name: an amorphous solid. It is genuinely rigid. As the materials physicist Mark Ediger puts it, "if you grab it, it holds its shape."
The myth takes the one true seed — glass is born from a liquid and keeps a liquid's disordered structure — and grows a false tree from it: that it must therefore still be flowing. Calling glass a "supercooled liquid" is a big part of how the confusion spreads; many physicists now treat that phrase as a misnomer to avoid. The honest one-liner: glass is a solid with a liquid's memory, not a liquid with a solid's patience.
2 · When does glass actually flow?
Whether something "flows" is really a question about viscosity — its resistance to oozing — and viscosity depends ferociously on temperature. The curve below is the Vogel–Fulcher–Tammann fit for a real soda-lime window glass (the same stuff as a drinking glass). Heat it and it pours; cool it and it stiffens by twenty-something orders of magnitude. Drag the furnace dial and watch how long a 3 mm pane would take to visibly sag under its own weight.
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Viscosity (vertical, logarithmic, from water at the bottom to cold window glass far off the top) against temperature (horizontal, from room temperature on the left to a glass furnace on the right). A bright dot marks the dial. Above the glass transition — the vertical line near 560 °C — the glass is a true equilibrium liquid and the curve is measured. To the left of that line the glass has frozen; its room-temperature viscosity (the marker low-left) is an extrapolation, and that very uncertainty is the heart of the flow debate.
The point the dial makes by itself: glass really is a liquid you can pour — at 1200 °C a pane slumps in about one second. But cooling it doesn't slow the flow a little. It slows it past every human scale. By the glass transition near 560 °C the same pane needs roughly 500 years to sag; a hundred degrees cooler, far longer. By the time you reach the room a cathedral window actually lives in, the glass has frozen — it is hundreds of degrees below where flow happens — and the sag time has run past the 13.8-billion-year age of the universe.
3 · Then why is the old window thicker at the bottom?
Because of how it was made. Before the float-glass process (1959), a windowpane was cut from a disc that a glassblower spun out by hand: a blob of molten glass on the end of a rod, flared open and whirled until centrifugal force flung it into a wide, wavy crown — thick and lumpy near the central "bull's-eye," thinning toward the rim. Every pane cut from such a disc came out wedge-shaped. When glaziers set those panes in lead, the sensible move was to rest the heavy edge at the bottom. Drag the disc to cut a pane, then choose how it was hung.
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Left: a spun crown disc, dark where it is thick. A pane is cut from it (the outline), so the pane inherits a thickness gradient. Right: that pane seen edge-on, hung in the orientation you chose.
Here is the clean tell. If the thickness came from glass flowing downward, then every old pane would be thicker at the bottom — gravity only points one way. But conservators who have surveyed real medieval windows (Robert Brill, of the Corning Museum of Glass) report panes installed with the thick edge at the top and the sides too, not only the bottom. Gravity-driven flow cannot produce a thick-at-the-top pane. Hand manufacture, hung by eye, produces all of them. (The exact mix of orientations is reported by glass conservators rather than counted in a single published survey — but that some old panes are thicker at the top is well attested, and it is fatal to the flow story.)
4 · "But doesn't it flow a tiny bit?"
This is the honest hedge people retreat to, and it deserves a real number rather than a shrug. In 2017 a team led by Ozgur Gulbiten and John Mauro measured the viscosity of actual medieval glass taken from Westminster Abbey and computed how far it could creep. Their answer: about one nanometre — a few atoms' width — over one billion years. Over the eight centuries a real cathedral window has stood, that works out to under a millionth of a single atom's diameter. "Technically nonzero" and "thick at the bottom you can see" are separated by some thirty orders of magnitude.
There is a twist worth naming, because it cuts against tidiness. That 2017 study found medieval glass is actually less viscous than the textbook soda-lime numbers — about 16 orders of magnitude less — so it would flow more readily than the famous earlier estimates assumed. And it still doesn't flow. The conclusion survives even the measurement that was most generous to the myth. (Earlier, Edgar Zanotto's 1998 paper "Do cathedral glasses flow?" had put the timescale well beyond the age of the universe; the real medieval glass lowered the number and left the verdict standing.)
The strongest evidence needs no model at all. There are glass objects far older than any cathedral — Roman vessels nearly 2,000 years old, ancient Egyptian glass older still — thin, delicate, and showing no sag whatsoever. If glass crept perceptibly under gravity, the oldest, thinnest pieces would have puddled long ago. They haven't. (And recent headlines about "a new liquid phase of glass" from Penn concern engineered nanometre-thin vapour-deposited films, not cathedral windows — they refine glass-transition science; they do not resurrect the flow myth.)
The check
The curve above is the Vogel–Fulcher–Tammann model log₁₀(η poise) = A + B/(T − T₀) with a published fit for a real soda-lime glass: A = −1.594, B = 4111.7, T₀ = 280.3 °C. The verifier recomputes everything the page asserts and confirms:
- The fit lands the four standard glassblowers' fixed points at their textbook temperatures: working (10⁴ poise) ≈ 1015 °C, softening (10⁷·⁶) ≈ 728 °C, annealing/Tg (10¹³) ≈ 562 °C, strain (10¹⁴·⁵) ≈ 536 °C.
- Viscosity at the glass transition ≈ 10¹² Pa·s — the convention that defines Tg. Room temperature is below the model's own divergence point T₀, so the curve is not extrapolated there; the room-temperature viscosity is taken from measurement instead.
- Sag time τ = η/(ρgh) for a 3 mm pane (ρ = 2500, g = 9.81): ≈ 1 s at 1200 °C, ≈ 550 yr at Tg, and ≈ 4×10¹⁰ yr at room temperature using the most generous cited viscosity (10²⁰ Pa·s) — already longer than the universe has existed.
- Independently: the 2017 medieval-glass figure of ~1 nm per 10⁹ yr gives ~10⁻⁶ nm of flow over 800 years — far below one atom.
Reproduce it: node research/glass-is-liquid/verify.mjs → 16/16 ok. τ = η/(ρgh) is an order-of-magnitude characteristic time, not a precise sag prediction; it is used only to separate "seconds" from "longer than the universe," which is all the argument needs.
Sources & honesty
- Zanotto, E. D. "Do cathedral glasses flow?" Am. J. Phys. 66, 392 (1998); and Zanotto & Gupta, Am. J. Phys. 67, 260 (1999).
- Gulbiten, O.; Mauro, J. C.; et al. "Viscous Flow of Medieval Cathedral Glass." J. Am. Ceram. Soc. (online 2017; vol. 101, 2018), DOI 10.1111/jace.15092 — ~1 nm flow per billion years; viscosity 16 orders of magnitude below prior estimates.
- Scientific American, "Fact or Fiction?: Glass Is a (Supercooled) Liquid" (Ediger; Brill on ancient vessels and on panes thick at top/sides).
- Corning Museum of Glass, "Does glass flow?" FAQ; and the Baez physics FAQ (room-temperature viscosity ≈ 10²² Pa·s; Roman glass).
- VFT fit constants and the soda-lime composition: peer-reviewed Fulcher fit (PMC6742813) and the Fluegel viscosity model (glassproperties.com).
Named uncertainties: the room-temperature viscosity is extrapolated/measured, not directly observed (you cannot wait long enough), and is composition-dependent — so the page gives a range, not one number, and notes that the verdict holds across all of it. "Glaziers hung the thick edge down" is the standard, plausible reconstruction of practice, not a documented medieval rule. The split of observed orientations is reported by conservators, not a single published count. Whether the glassy state is best called a "solid" or its own distinct non-equilibrium state of matter is a live technical discussion — but on the only question the myth asks, "is it a liquid that flows at room temperature," every source agrees: no.