Are permittivity and permeability quantities that can be predicted?

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Summary:
Can these be derived from other chemical properties?
For example, can you predict the permittivity and permeability of a substance if you know what the atomic composition is? Is it a stat mech problem?
 

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Vanadium 50
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Permeability, however, is more of a dark art. It's related to domain size, which is related to crystal size, which isn't just a matter of composition, it's a matter of process. For example, adding silicon usually increases permeability but it isn't even ferromagnetic.
 
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