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'has been achieved for' is correct and usable in written English.
You can use it when you are describing an accomplishment for a specific purpose. For example, "A breakthrough in medical research has been achieved for the treatment of cancer."
Exact(60)
"I believe enough space has been achieved for almost everything to be published in Cuba".
We can't let history wipe out what has been achieved for so many.
As we approach the 10th anniversary of the invasion on 7 October 2001, there is a reckoning of what has been achieved for women – and what has failed.
As the UN marks its 70th birthday this autumn, half of humankind may still ask: what has been achieved for us?
The victims' families are those who are most important today, and no real justice has been achieved for them: they have been crystal clear on that.
High efficiency of 7.83 % has been achieved for 0.7-μm-long SiNW cells with surface treatment.
Optimum efficiency of 11.47 % has been achieved for 100 μm thick silicon layer.
An apparent quantum yield (AQY) of ~7% has been achieved for La0.7Sr0.3MnO3.
A yield of functional CNT-FET of 27% has been achieved for optimal designs.
The novel microstructured design has been achieved for a wavelength range of 1.3 μm–1.6 μm.
Power conversion efficiency of 3.26% has been achieved for 15 nm V2O5 layer.
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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