For good insulation, the layer of aluminum must be on the outside.
For when the layer of aluminum would be on the inside, then the aluminum
is heated by the body, causing it to transfer heat radiation to
the environment.
For example, a raincoat doesn't need to be breathable, but
because I want to wear it indoors constantly,
it is necessary that the fabric is breathable.
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Clothing for firefighters and clothing for workers with hot metal.
This is very tough material to protect, and not suitable for normal indoor use.
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Jacks with unknown materials.
Sometimes clothing (mostly jacks) can be bought, which has a layer
that reflects heat radiance.
But it is often unclear whether the fabric is breathable.
Sometimes 400 euros for a jacket is asked, while it is not clear
which materials are used.
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XITANIT™
This is a thread wit a metallic layer, of which special socks and vests are made.
It doesn't seem possible to buy few square meters of this fabric.
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Temptrol™
This is a flexible layer of plastic fibers with a very thin layer of aluminized plastic.
Tiny holes are made in it, to make it breathable.
It is manufactured by "Innovative Insulation, Inc.".
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MIRoTEC©
For example blankets can be bought with this material.
I could use such a blanket to make a vest out of it.
However, it is quite expensive, and it is not exactly clear what the material is.
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Sympatex Reflexion©
This is a very thin breathable fabric (membrane-like) with a layer
aluminum. There are several manufacturers that use it in their clothes.
It is possible to buy a sleeping bag, jacket or coat in which this material is used.
They all cost about 300 euros, which is very expensive.
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Aluminet©
Aluminet is a very open fabric.
But it is used to reflect the sun light for keeping green houses cool.
So it probably can't be used in clothes to stay warm.
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Lamé
Lamé is a shiny fabric, sometimes used for Christmas clothing.
The fabric is woven or knitted, and it consists mainly of a 'thread' of
a small strip of plastic foil with aluminum.
It is not intended to reflect radiant heat, but it turned out to have a reasonably good result.