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Picturing a normal mode of vibration of the monoatomic lattice in 1D that is either in-phase nor completely out-of-phase
For a monoatomic lattice of $N$ atoms in one-dimension, the ratio of the displacements of two consecutive atoms at the $(n+1)$th and the $n$th site is given by $$\frac{u_{n+1}}{u_n}=e^{ika}$$ where ...
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Lattice vibrations in one-dimensional monatomic crystals vs. diatomic crystals
A one-dimensional diatomic crystal (with two distinct atoms A and B arranged in a line) can exhibit two types of collective motions. In one type, the consecutive atoms move in-phase and in the other, ...
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