Petermann technology lexicon

Oscillation modes for quartz crystals

Vibrating crystals can be operated in various mechanical vibration modes. These differ in terms of their geometry, frequency characteristics, temperature behaviour and suitability for certain applications.

1. bending vibration (flexure mode / bending mode)

  • Frequency range: typically < 100 kHz
  • Use: mostly in tuning fork crystals with 32,768 kHz
  • Advantages: low power consumption, compact
  • Special feature: mechanically sensitive to shock and vibration

2nd longitudinal mode (longitudinal oscillation)

  • Frequency range: mostly in the kHz to low MHz range
  • Direction of oscillation: along the longitudinal axis of the quartz crystal
  • Typical cuts: X-cut, Y-cut
  • Disadvantages: relatively strongly temperature-dependent

3. torsional oscillation (torsional mode)

  • Rather rarely used
  • Torsional vibration around the crystal axis
  • Complex geometry and difficult to control

4. shear mode (normally used with MHz quartz crystals)

  • Most important mode for high-frequency applications
  • Typical cuts: especially AT cut, also BT cut
  • Direction of movement: displacement of parallel crystal planes against each other
  • Advantages: low temperature dependence, high frequency stability

The picture shows an example of the different vibration modes of quartz crystals:

AT-Cut oscillating crystals - Which oscillation mode?

The AT-Cut qu artz is the most frequently used quartz cut-out for oscillating crystals up to approx. 285 MHz (only available from PETERMANN-TECHNIK GmbH) in the fundamental tone.

Type of oscillation used:

  • Fundamental oscillation in planar shear mode (Thickness Shear Mode)

Features of the AT-Cut:

  • Vibration plane: parallel to the quartz plate
  • Vibration direction: Shear in the direction of the plate surface
  • Frequency range: typically up to 285 MHz (basic mode) only available from PETERMANN-TECHNIK GmbH
  • Temperature behaviour: almost temperature-compensated range close to 25 °C
  • Advantages:
    • Very good frequency stability
    • Low ageing
    • Low sensitivity to external influences

Summary

Vibration shape

Description

Typical applications

Quartz sections used

Bending vibration

deflection like a beam

tuning fork crystals, clocks

tuning fork shape

Longitudinal vibration

strain along the length

low-frequency filters

X-cut, Y-cut

Torsional vibration

Rotation around an axis

Special applications

Miscellaneous

Shear vibration

Sliding motion of parallel planes

High frequency, clocks, communication

AT-Cut, BT-Cut

The picture symbolically shows the oscillation behaviour of a MHz quartz crystal in the AT-Cut:

The thickness shear oscillation mode in the AT cut (or AT cut) is the most commonly used oscillation mode for quartz crystals.

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