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For a given Bravais lattice you need to find the indices for which the structure factor $S_{hkl}$ doesn't vanish. For cubic lattices it's actually quite straightforward (e.g. for hexagonal ones can be already very tricky), knowing NaCl has a fcc structure, we know then the atomic positions in a unit-cell: Na $\rightarrow$ $[0,0,0]$, $[1/2,1/2,0]$, ...

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Perhaps part of the problem is that the statement $2 ( l - l') = n \lambda$ is not correct in general. It applies to the specific situation where both the incident wavefront and the refracted wavefront accumulates a path difference of $l - l'$ between each layer of your crystal. That is true if the diffraction causes a reflection back in the same direction ...

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The coil is an inductor, which stores energy in a magnetic field. The coil & capacitor together form a basic electronic oscillator. If you start out with a charged capacitor, it will start to discharge, forcing a current through the coil. This will set up a magnetic field in the coil, which takes up some of the energy that used to be stored in the ...

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