How can one derive the relationship for a cubic crystal:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]d= \frac{a}{\sqrt{h^2 + k^2 + l^2}}[/itex]

It is shown here.

This is probably trivial but I am having trouble proving it as the Miller indices are reciprocals but the reciprocal is not distributive. This isn't for homework by the way - I am just going over solid state stuff from last year trying to get a more solid understanding than I got when I just learnt it by focusing on the then impending exams.

Any help would be greatly appreciated. :)

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# The relationship between the lattice spacing and the distance between parallel planes

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