AFM Nanomechanical Measurement Control Using Hard Reference Sample

Solution Overview

Problem

Conventional indentation measurement methods using Atomic Force Microscopes (AFM) face challenges in achieving accurate broadband and in-liquid nano-mechanical measurements due to hardware dynamics-viscoelasticity convolution, thermal drift, and hydrodynamic forces, leading to distorted force measurements and poor signal-to-noise ratios.

Innovation Solution

A control-based approach that models and analyzes cantilever dynamics to account for measurement frequency range and bandwidth, using techniques like Model-less Inversion-based Iterative Control (MIIC) to precisely track cantilever deflection and measure indentation from base displacement differences between soft and hard samples.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of operation

If conventional indentation measurement is used in AFM, then the measurement is simple to implement, but the measurement precision deteriorates at high frequencies or in liquid due to hardware dynamics convolution and hydrodynamic effects

Engineering Contradiction:
Core Design Contradiction:
Ease of operationVSMeasurement precision

Solution Approach 1:

The patent introduces a reference hard sample as an intermediary to measure and compensate for hardware dynamics effects. By comparing the cantilever response on the soft specimen versus the hard reference sample, the system isolates and removes the convoluted hardware dynamics response, enabling accurate indentation measurement at high frequencies and in liquid environments

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent implements feedback control by continuously measuring the cantilever deflection on both the soft specimen and hard reference sample, calculating the difference to determine indentation, and using this information to compensate for hardware dynamics effects and hydrodynamic forces in real-time measurement

Inventive Principle:
Principle #23Feedback

2Adaptability or versatility

If broadband measurement is performed to capture rate-dependent mechanical behavior, then the measurement capability is improved, but the signal-to-noise ratio deteriorates due to force distortion from hardware dynamics convolution

Engineering Contradiction:
Core Design Contradiction:
Adaptability or versatilityVSMeasurement precision

Solution Approach 1:

The hard reference sample serves as a mediator to characterize the frequency-dependent hardware dynamics response. By measuring the cantilever response on the hard sample across the broadband frequency range, the system captures the hardware convolution effects and uses this information to deconvolute and correct the soft specimen measurements, maintaining signal-to-noise ratio across broadband frequencies

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent performs preliminary measurement on the hard reference sample to characterize the hardware dynamics response before measuring the soft specimen. This preliminary characterization of the system's frequency response is used to pre-compensate or deconvolute the subsequent soft specimen measurements, enabling accurate broadband measurement without noise amplification

Inventive Principle:
Principle #10Preliminary action

3Adaptability or versatility

If in-liquid measurement is performed to study live biological samples, then the measurement applicability is improved, but the measurement precision deteriorates due to thermal drift and hydrodynamic force effects

Engineering Contradiction:
Core Design Contradiction:
Adaptability or versatilityVSMeasurement precision

Solution Approach 1:

The hard reference sample acts as an intermediary that experiences the same thermal drift and hydrodynamic forces as the soft specimen in liquid. By measuring and comparing the cantilever response on both samples, the system differentiates between environmental effects (affecting both samples equally) and specimen-specific mechanical response, enabling accurate in-liquid measurement of live biological samples

Inventive Principle:
Principle #24Intermediary (Mediator)

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

This method significantly reduces measurement errors, enabling accurate broadband and in-liquid indentation measurements by compensating for hardware dynamics and hydrodynamic effects, and effectively captures the viscoelastic properties of soft materials.

Implementation Method 1

the AFM z-piezo actuator of the AFM in both measurements

Methodology Applied
Scientific EffectPiezoelectric effect: Piezoelectric Effect

Implementation Method 2

measuring the excitation force applied from the probe to the sample surface and the corresponding indentation generated in the sample

Methodology Applied
Scientific EffectElastic deformation: Elasticity

Implementation Method 3

the motion of the cantilever, unlike that in air, is significantly affected by the thermal drift effect and the hydrodynamic force

Methodology Applied
Scientific EffectHydrodynamic force: Drag

Implementation Method 4

the thermal drift effect generates an asymmetric disturbance force on the cantilever (due to the asymmetric geometric configuration of the cantilever), resulting in the fluctuation of the cantilever deflection

Methodology Applied
Scientific EffectThermal drift: Thermal Expansion

Data Source

PatentUS8973161B2Method and apparatus for nanomechanical measurement using an atomic force microscope
Publication Date: 2015.03.03
  • US8973161B2 patent drawing
  • US8973161B2 patent drawing
  • US8973161B2 patent drawing

AI summary

A control-based approach is provided for achieving accurate indentation quantification in broadband and in-liquid nanomechanical property measurements using atomic force microscope (AFM). Accurate indentation measurement is desirable for probe-based material property characterization because the force applied and the indentation generated are the fundamental physical variables that are measured in the characterization process. Large measurement errors, however, occur when the measurement frequency range becomes large (i.e., broadband), or the indentation is measured in liquid on soft materials. Such large measurement errors are generated due to the inability of the conventional method to account for the convolution of the instrument dynamics with the viscoelastic response of the soft sample when the measurement frequency becomes large, and the random-like thermal drift and the distributive hydrodynamic force effects when measuring the indentation in liquid.