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The phrase 'impenetrable barrier' is correct and usable in written English.
You can use it when referring to an obstacle that is difficult or impossible to overcome. For example, "The bureaucracy was an impenetrable barrier to my efforts at reform."
Exact(60)
The S.E.C.'s designation has created a nearly impenetrable barrier to entry into this arena.
Bumper-to-bumper buses ringed the White House to form an impenetrable barrier.
This back plane is treated as a finite, impenetrable barrier in front of which the figures exist.
The SiC layer composing the coating is particularly important, since this layer must be an impenetrable barrier for fission products.
It allows the free passage of protons but forms an impenetrable barrier to other atoms and molecules.
The vast glaciers that have formed an impenetrable barrier across the top of North America are finally beginning to recede.
As its common name, firethorn, suggests, pyracantha makes an excellent impenetrable barrier: the ultimate plant in home security.
Icelandic Glacial is a "superpremium" water from a spring shielded from pollution "by an impenetrable barrier of lava rock".
The best explanation for experimental observations involves an electron using a phenomenon known as quantum uncertainty to tunnel through a seemingly impenetrable barrier.
The goal is to create a impenetrable barrier that keeps the powerful blast and radioactivity locked up tight inside the earth.
SC Johnson had acquired it from Dow in 1998, and the product's superior microwavability and impenetrable barrier to odor made it the market leader for decades.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com