Why Do Physicists Use the Term Unity Instead of 1 in Crystallography?

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The term "unity" in crystallography is used to denote a unitless one, distinguishing it from the numerical value of 1. This terminology helps clarify discussions involving units of measure, making it particularly relevant in physics contexts. While some view the use of "unity" as pretentious, it serves a practical purpose in theoretical frameworks, such as ring theory, where concepts extend beyond numerical systems. The choice of terminology may reflect the author's intent to maintain precision in scientific discourse. Overall, using "unity" instead of "1" enhances clarity in discussions about measurements and theoretical constructs in physics.
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I came across this term in Elements of Modern X-ray Physics by Nielsen. I'm assuming this term isn't specific to the book (because that would be ridiculous). I've always taken math courses geared toward Physics/Engineering so some math terms were never used so this is probably one of them.

I'm assuming it is somehow equivalent to 1. I just don't know why the author did not say 1 instead of unity.

The context in which it was used was
 

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It's really just a word used to sound more pretentious than saying "one." It might be handy to distinguish 1 of some unit of measure versus 1 as a pure number, but that's about it.
 
I suppose it makes sense to use unity instead of 1 for units. Especially in a Physics textbook.

Thank you sir and/or ma'am.
 
Unity is a unitless one. It is also used extensively in ring theory so that the theorems can be extended to systems that do not use numbers. I doubt the second part is the reason in an X-ray physics book.
 

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