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$\begingroup$

Consider:

By integrating R(r) out to the location of the first minimum, the coordination number for the first solvation shell is derived 5.4.

I am not sure about the bold part because 5.4 was immediately appeared after is derived. I am not sure about "X is derived N", maybe it is ... is derived as 5.4, right? Generally I can't get the pattern or structure for using a number like that.

Is it correct? what is the structure or pattern? What are other alternatives to relate a number to the result of an operation like integration?

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    What is the source of your quotation? Unattributed quotation is bad.2017-01-24
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    @bof I am proofreading the paper of someone, I don't know what has been his source.2017-01-24

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I agree with what you said. "... the solvation shell is derived as $5.4$".

You can use other verbs such as "calculated," I suppose.

".. is calculated to be $5.4$" and "is calculated as $5.4$" work.