The Stoney Formula

 

 

research: introduction | integrated packages | sensor arrays | challenges & limitations

MEMS & NEMS Sensors

Our work involves designing and developing micromechanical sensors based on micro-machined cantilever beams. The unprecedented sensitivity of microcantilever chemical, physical, and biological sensors, as demonstrated by our group and many other laboratories around the world, suggests that in the years to come, micro- and nano- cantilever sensors will be an integral part of many sensor devices.

The microcantilever concept will serve as a general platform for a myriad of extremely sensitive, highly selective, real-time micro and nanosensors that can be mass-produced using conventional techniques.

Cantilever detectors work in one of two modes, depending on what is to be detected and under what environmental conditions:

  1. Resonant frequency shift due to mass adsorption
  2. Adsorption-induced bending of the microcantilever

We are most interested in the latter. In the adsorption-induced bending mode, the deflection changes as a function of adsorbate coverage due to free energy change. A relation between cantilever bending and changes in surface stress is given by the Stoney formula.

In general the surface stress depends on both the surface free energy and the surface strain, but for high aspect ratio cantilevers one can easily neglect the contribution from surface strain effects and equate the free energy change to surface stress variation.

Currently we are developing sensors for:

  • Groundwater monitoring
  • Explosive vapors
  • Cancer and cardiac disease markers

| introduction | integrated packages | sensor arrays | challenges & limitations

Integrated Packages

The trend in miniaturization of intelligent sensors couples very well with the versatility of cantilever arrays. The cantilever signal can be readout optically but designs using piezoresistive and capacitive pickups are well suited to integration with on-chip electronic circuitry. The electronic processing could further incorporate analog intelligence to decouple non-selective responses to environmental effects. Thus, the need to find coatings that individually respond only to a particular chemical is obviated.

| introduction | integrated packages | sensor arrays | challenges & limitations

Sensor Arrays

Micromachining technologies currently available could be used to make multitarget sensor arrays involving hundreds of cantilevers, analog processing, and even local telemetry on a single chip. The number of sensing elements in a sensor array can be used for lower noise, much higher selectivity, and increased robustness. Simplicity, low power consumption, potentially very low cost to manufacture, inherent compatibility with array designs, and the ability to operate in air or liquid make cantilever sensors very attractive for a variety of applications.

| introduction | integrated packages | sensor arrays | challenges & limitations

Challenges & Limitations

There are a number of challenges to overcome before MEMS and NEMS sensors come into widespread use. The technology for designing and simulating electronic chips is well advanced. Software to integrate electronic, mechanical, and fluidic designs is still in its infancy, yet huge investments presently being made will soon accelerate the design of fully integrated devices. The effects of environmental influences on coatings and cantilevers will need to be fully characterized and incorporated into data libraries, so that a prospective chip can be completely characterized before hardware fabrication.

Additional coatings and attachment methods will need to be developed and added to the libraries. The development of on-chip microfluidics will also be needed to facilitate some applications. Material stability is an issue that potentially limits long-term reliability in harsh conditions and will need to be addressed. Just as similar challenges have been met by the semiconductor industry, we believe these will be overcome.

 

Last updated: 5/20/04. Problems? Contact the webmaster.