How Does the Horizontal Axis Work in Phonon Dispersion Curves?

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SUMMARY

The horizontal axis in phonon dispersion curves represents the wavevector q, which is plotted from the (000) point on the left to the (100) point on the right. As one moves from left to right, the wavevector's direction remains constant in the (100) direction while its magnitude increases. In the context of the first Brillouin zone, the values of k indeed range from 0 to π/a in both the X and L directions, confirming the relationship between wavevector magnitude and direction.

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  • Understanding of phonon dispersion curves
  • Familiarity with wavevector notation in crystallography
  • Knowledge of the first Brillouin zone concept
  • Basic principles of solid-state physics
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gomboc
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I've got a question about interpreting these - mainly about how the horizontal axis works.

See attached file - On the leftmost panel, it has a form of the wavevector q plotted from left to right, labeled as (000) on the left and (100) on the right.

What does this mean? Does it mean that the wavevector, as you move from left to right, is always pointing in the (100) direction, and its magnitude simply increases? Or does the wavevector's direction change too?

Any good resources for understanding these would be much appreciated!
 

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I have the same problem. Can someone please explain how to read these curves? If these curves are shown in the first Brillouin zone, does this mean that the values of k in this graph go from 0 to π/a both in X and L direction?
 

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