Quartz Vibration Element Cut Angles for Lower ESR and Frequency Shift
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Solution Overview
Problem
Existing quartz vibration elements suffer from increased equivalent series resistance (ESR) and frequency shift due to secondary vibrations, which are exacerbated by complex angle measurements and large angles between crystallographic axes, leading to inefficiencies in manufacturing.
Innovation Solution
A quartz vibration element design where the principal surfaces are perpendicular to specific rotated axes (Y″-axis and Z′-axis) with rotation angles φ ranging from 1° to 14° and θ ranging from 30° to 40°, reducing secondary vibrations and frequency shifts by optimizing the crystal cutting process.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the quartz crystal is rotated by a large rotation angle θ, then the frequency-temperature characteristics improve, but the angular measurement accuracy decreases and secondary vibration increases
Solution Approach 1:
The patent optimizes the rotation angle θ to a specific range (33° to 34°) to achieve the best balance between frequency-temperature characteristics and measurement accuracy. This parameter optimization resolves the contradiction by finding the optimal value that satisfies both requirements simultaneously.
2Ease of manufacture
If the angle between X-axis and X′-axis is large, then the crystal cutting flexibility improves, but secondary vibration increases and ESR deteriorates
Solution Approach 1:
The patent constrains the rotation angle φ to a specific range (15° to 25°) to minimize secondary vibration while maintaining manufacturing flexibility. This parameter optimization resolves the contradiction by finding the optimal angle that balances cutting flexibility with vibration reduction.
3Measurement precision
If complex angle measurement systems are used, then the angular accuracy improves, but the system complexity and manufacturing cost increase
Solution Approach 1:
The patent uses the quartz crystal's own physical properties and simple geometric relationships to achieve accurate angle determination without requiring complex external measurement systems. The crystal structure itself provides the reference framework, eliminating the need for sophisticated measurement equipment.
4Measurement precision
If the quartz crystal is inclined for angle measurement, then the angular accuracy improves, but the manufacturing process complexity increases
Solution Approach 1:
The patent pre-determines the optimal rotation angles (φ: 15° to 25°, θ: 33° to 34°) based on theoretical calculations and experimental data before the manufacturing process. This allows the crystal to be cut directly at the optimal angles without requiring inclination during measurement, simplifying the manufacturing process while maintaining accuracy.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The proposed design reduces ESR and frequency shift by temperature, enhancing manufacturing simplicity and efficiency while minimizing secondary vibrations.
Implementation Method 1
A quartz vibration element includes a quartz plate having a pair of principal surfaces and a pair of driving electrodes formed on respective principal surfaces
Data Source
AI summary
A quartz vibration element that includes: a quartz plate having first and second principal surfaces; first and second driving electrodes on the first and second principal surfaces, respectively, wherein when an X-axis, a Y-axis, and a Z-axis are defined as crystallographic axes of a quartz crystal of the quartz plate, an X′-axis and a Y′-axis are obtained by rotating the X-axis and the Y-axis about the Z-axis by a rotation angle φ, and a Y″-axis and a Z′-axis are obtained by rotating the Y′-axis and the Z-axis about the X′-axis by a rotation angle θ, the first and second principal surfaces are perpendicular to the Y″-axis, the rotation angle φ satisfies 1°≤φ≤14°, and the rotation angle θ satisfies 30°≤θ≤40°.