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The phrase "a broken nucleus" is correct and usable in written English.
It can be used in scientific contexts, particularly in biology or physics, to describe a nucleus that is damaged or not functioning properly.
Example: "The study revealed that exposure to radiation can lead to a broken nucleus in the cells, affecting their ability to replicate."
Alternatives: "damaged nucleus" or "fractured nucleus".
Exact(1)
This required detectors of unprecedented sensitivity; to confidently detect the tiny signal of a broken nucleus, all other extraneous radioactivity has to be reduced to the lowest possible level, and measured precisely.
Similar(59)
A broken love theme.
A broken heart.
"A Broken Landscape" (2013).
A broken Paris!
A Broken Paradigm?
It's a broken system".
And a broken tractor, too.
Rebuilding a broken education system?
One suffered a broken arm.
"This is a broken life".
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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