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Glass · Thermal

U-value calculator for insulating glass

Almost all of the heat crossing a sealed unit crosses the cavity, and most of that is radiation, not conduction. That is why a low-E coating matters far more than the gas: adding one to a 4-16-4 unit takes it from about 2.7 to about 1.4 W/(m²·K), and swapping the air for argon then takes it to about 1.1. This page follows EN 673 and shows the radiation and gas parts of every cavity separately, so you can see where the heat is going.

Unit
Cavity 1
—
Centre-pane Ug
— W/(m²·K)
Overall thickness
— mm
Cavity 1 · radiation
— W/m²K
Cavity 1 · gas
— W/m²K

This is the centre-pane value, which is what glass is sold on. The whole window is always worse, because the spacer at the edge and the frame both leak more than the middle of the glass — put this figure into the window U-value calculator to see how much worse. Weight of the same unit is in the weight calculator.

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Typical U-values of double and triple glazing

Ug of the units that are actually ordered, worked out by the calculator above to EN 673: 4 mm panes, gas at 90 % fill, one low-E coating per cavity. Two things in it surprise people. A wider cavity is not always better — with argon, 20 mm (1.13) does slightly worse than 16 mm (1.10), because past about 16 mm the gas starts to circulate. In triple glazing that turn comes later, near 20 mm with argon, because each cavity carries only part of the temperature difference: 4-18-4-18-4 (0.51) beats 4-16-4-16-4 (0.56). And the coating matters far more than the gas: going from no coating to a soft coat halves the U-value, while swapping air for argon takes off another fifth.

UnitGasLow-E coatingUg, W/(m²·K)
4-16-4AirNone2.74
4-16-4AirHard coat, ε 0.161.69
4-16-4Argon 90 %Hard coat, ε 0.161.49
4-16-4AirSoft coat, ε 0.031.35
4-12-4Argon 90 %Soft coat, ε 0.031.26
4-16-4Argon 90 %Soft coat, ε 0.031.10
4-20-4Argon 90 %Soft coat, ε 0.031.13
4-12-4Krypton 90 %Soft coat, ε 0.031.05
4-12-4-12-4Argon 90 %Two soft coats, ε 0.030.71
4-16-4-16-4Argon 90 %Two soft coats, ε 0.030.56
4-18-4-18-4Argon 90 %Two soft coats, ε 0.030.51
4-12-4-12-4Krypton 90 %Two soft coats, ε 0.030.47

Declared values on a data sheet are rounded to one decimal, and the coating's real emissivity comes from the manufacturer — put it in above. For the whole window, frame and spacer included, the window U-value calculator takes this Ug as its input.

All the usual double and triple make-ups, with air, argon or krypton and each coating of this calculator, are in the Ug value table; every figure in it opens this calculator with that unit filled in.

How EN 673 does it

1/U = 1/h_e + 1/h_t + 1/h_i // h_e = 23, h_i = 8 W/(m²·K), standardised 1/h_t = Σ 1/h_s + Σ d/λ // cavities + the glass itself, λ = 1.0 W/(m·K) h_s = h_r + h_g // each cavity: radiation + gas h_r = 4 · σ · (1/ε₁ + 1/ε₂ − 1)⁻¹ · T_m³ // σ = 5.67e−8, T_m = 283 K h_g = Nu · λ_gas / s Nu = A · (Gr · Pr)^n , not less than 1 // vertical: A = 0.035, n = 0.38 Gr = 9.81 · s³ · ΔT · ρ² / (T_m · µ²) // ΔT = 15 K with one cavity ΔT_k = 15 K · (1/h_s,k) / Σ 1/h_s // two cavities: shared and iterated (annex A) Pr = µ · c / λ_gas

Two things fall out of those equations, and they are the whole story of insulating glass:

Gas properties at 283 K

Gasρ kg/m³µ ×10⁻⁵ kg/(m·s)λ W/(m·K)c J/(kg·K)
Air1.2321.7610.024961008
Argon1.6992.1640.01684519
Krypton3.5602.3390.00900245
Xenon5.6892.2260.00529161

A "90 %" fill is treated as 90 % of that gas and 10 % air, with the properties averaged by volume, which is what EN 673 prescribes for mixtures.

Published values to check us against

Each row is a Ug published with its whole make-up, next to what this calculator gives for it: type them in. Two things explain the small gaps. A data sheet gives the coating's normal emissivity, εn, while EN 673 works with the corrected one, a little higher; the calculator takes its ε as the corrected value, so it reads 0.01 to 0.03 low. And the AGC figures are rounded to one decimal.

Make-upPublished UgSourceThis calculator
4-12-4 air, no coating2.9AGC2.86
4-16-4 air, no coating2.7AGC2.74
4-16-4 air, one coating εn 0.031.37ift Rosenheim1.35
4-16-4 argon 90 %, one coating εn 0.031.13ift Rosenheim1.10
4-12-4 krypton 90 %, one coating εn 0.031.07ift Rosenheim1.05
4-12-4-12-4 argon 90 %, two coatings εn 0.030.72ift Rosenheim0.71
4-16-4-16-4 argon 90 %, two coatings εn 0.030.58ift Rosenheim0.56
4-12-4-12-4 krypton 90 %, two coatings εn 0.030.49ift Rosenheim0.47

In triple glazing EN 673 does not put the whole 15 K on each cavity: the 2011 edition (annex A) shares it between them in proportion to their resistance and repeats the calculation until it settles. The calculator does the same, which is why the wide cavities of the last two rows agree with the report as well as the narrow ones.

Sources: AGC, YourGlass Pocket (2014), table of Ug values for different types of glazing; ift Rosenheim, test report 11-003309-PR01 (2011), Guardian ClimaGuard Premium, εn 0.03 measured to EN 12898. More published cases, and how each one compares: how we check the calculations.

What this page does not do

Read this. A pre-dimensioning and comparison aid, not a certificate. For a declared value, use the manufacturer's tested figure — the exact coating, not its emissivity class, is what decides the last decimal.

Questions people ask

What is the U-value of double glazing?
By EN 673, a standard 4-16-4 unit with argon and a soft low-E coating has a Ug of about 1.1 W/m²K. The same unit with air and no coating is about 2.7. Triple glazing with argon and two soft coatings is about 0.5 to 0.7.
Is a wider cavity better for insulation?
Only up to a point. With argon, the best cavity is 15 to 16 mm: a 4-20-4 unit gives 1.13 W/m²K against 1.10 for 4-16-4, because in a wider cavity the gas starts to circulate and carries heat across. Krypton reaches its best at a narrower cavity, around 10 mm. In triple glazing the best cavities are wider, about 20 mm with argon, because each one carries only part of the temperature difference.

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