Miller Indices <hkl> & Miller-Bravais Indices <hkil> 

According to different cut angles to the quartz bars, there are different quartz plates, e.g. AT-, BT-, CT-,DT-, NT-, GT-cuts. Different quartz cuts, indicated by a set of angles, have different available elastic, piezoelectric and dielectric properties, which are the basic parameters for designing a quartz crystal device. The most often used quartz cuts are shown here:

HKL.png
  1. X-cut: 90º from X axis.

  2. Y-cut: 90º from Y axis.

  3. Z-cut: 90º from Z axis.

  4. AT-cut: Rotate 35.256º about the X axis towards the negative Y axis.

  5. BT-cut: Rotate 49º about the X axis towards the positive Y axis.

  6. CT-cut: Rotate 38º about the X axis towards the negative Y axis.

  7. DT-cut: Rotate 52º about the X axis towards the positive Y axis.

  8. NT(50,5)-cut: Rotate 50º about the Y axis towards the negative X axis, then rotate 5º about the Z axis twards the negative X axis.

  9. NT(60,8.5)-cut: Rotate 60º about the Y axis towards the negative X axis, then rotate 8.5º about the Z axis twards the negative X axis.