3D Copper-Stack MEMS Resonator for Temperature Compensation

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Solution Overview

Problem

MEMS resonators integrated into CMOS technology exhibit a high temperature dependence due to the strong temperature coefficient of Young's modulus of silicon dioxide, leading to significant frequency variations with temperature changes.

Innovation Solution

A new resonator structure is introduced that extends copper metallization into the BEOL structure, interacting with regions of high elastic energy concentration to balance the temperature coefficient of Young's modulus, thereby compensating for frequency variations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Stability of the object's composition

If traditional MEMS resonator structure is used, then device simplicity is maintained, but temperature stability deteriorates due to high temperature coefficient of Young's modulus of silicon dioxide

Engineering Contradiction:
Improvetemperature stabilityVSAvoidstructure complexity
Core Design Contradiction:
Stability of the object's compositionVSDevice complexity

Solution Approach 1:

The patent introduces a composite structure combining silicon dioxide BEOL layers with copper metallization stacks. The copper layers are strategically positioned to interact with high elastic energy concentration regions, creating a composite system where the temperature coefficient of Young's modulus of copper compensates for the positive temperature coefficient of silicon dioxide, achieving near-zero overall temperature coefficient of frequency.

Inventive Principle:
Principle #40Composite materials

Solution Approach 2:

The copper metallization is not uniformly distributed but specifically placed in regions of high elastic energy concentration within the BEOL structure. This localized placement optimizes the temperature compensation effect by concentrating the compensating material where it has the greatest impact on the resonator's elastic properties.

Inventive Principle:
Principle #3Local quality

2Stability of the object's composition

If copper metallization is extended into BEOL structure, then temperature coefficient of frequency is compensated, but manufacturing complexity increases

Engineering Contradiction:
Improvetemperature coefficient of frequencyVSAvoidmanufacturing complexity
Core Design Contradiction:
Stability of the object's compositionVSEase of manufacture

Solution Approach 1:

The copper metallization stack serves multiple functions: it provides electrical interconnection (original function) and simultaneously acts as a temperature compensation mechanism by interacting with high elastic energy regions. This multi-functionality eliminates the need for separate compensation structures, integrating temperature stability directly into the existing metallization layers.

Inventive Principle:
Principle #6Universality (Multi-functionality)

Solution Approach 2:

The patent merges the electrical interconnection function with the temperature compensation function by extending the copper metallization into the BEOL structure. The same copper layers that provide electrical connectivity also serve as the temperature compensation element, combining two previously separate requirements into a single integrated solution.

Inventive Principle:
Principle #5Merging (Combining)

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 structure achieves a temperature coefficient of frequency near zero, significantly reducing frequency variations and enhancing temperature stability of MEMS resonators.

Implementation Method 1

an array of ferroelectric capacitors on the substrate

Methodology Applied
Scientific EffectPiezoelectric effect: Piezoelectric Effect

Implementation Method 2

interacting with regions of high elastic energy concentration to balance the temperature coefficient of Young's modulus

Methodology Applied
Scientific EffectElastic energy concentration: Elasticity

Data Source

PatentUS12525945B2MEMS resonator with temperature compensation
Publication Date: 2026.01.13 TEXAS INSTRUMENTS INC
  • US12525945B2 patent drawing
  • US12525945B2 patent drawing
  • US12525945B2 patent drawing

AI summary

A microelectromechanical systems (MEMS) resonator includes a substrate, an array of ferroelectric capacitors on the substrate, and a three-dimensional metal stack above the array of ferroelectric capacitors. The three-dimensional metal stack may include more than two metal layers. Each of the metal layers is coupled to another of the metal layers by more than two metal vias.