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Determining the nomenclature of oxyanions

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I'm trying to understand the nomenclature of oxyanions, but I don't understand how I can look at the periodic table and tell which oxyanion has an -ite or -ate suffix.

 

How do I figure it out?

Is there some kind of pattern?

 

I don't see much information on the web about this.

 

I have a hunch it has something to do with orbitals, but I'm not sure.

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