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What do you understand by Miller indices of a crystal plane?
Miller Indices are a symbolic vector representation for the orientation of an atomic plane in a crystal lattice and are defined as reciprocals of the fractional intercepts which plane makes with the crystallographic axes.
In an orthogonal coordinate system, interplaner distance dhkl is given by:
Where h, k, l are the Miller indices of planes and a, b, c are dimensions of the unit cell.
Now for a cubic system, a = b =c
Hence, dhkl= a / [h2+ k2+ l2]1/2
The third line in Balmer series corresponds to an electronic transition between which Bohr's orbits in hydrogen: (1) 5 → 3 (2) 5 → 2 (3) 4→ 3
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