![](data:image/png;base64,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)
Invention Summary:
Accurate indentation measurement is fundamental to atomic force microscope (AFM)-based material property characterization as the force applied and the indentation generated are the two most important physical variables that must be measured in the characterization process. Large measurement errors 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 AFM instrument dynamics with the viscoelastic response of the soft sample when the measurement frequency becomes large. Moreover, the conventional method of open-loop designs also fail to account for the random like thermal drift and the distributive hydrodynamic force effects when measuring the indentation in liquid, resulting in large measurement errors.
Researchers at Rutgers have developed a control-based approach to address these challenges and the limits of the conventional approach. The invention is an accurate (MIIC) modeling-free inversion based iterative learning control method on AFM. When the cantilever tracks the same trajectory on different samples, the difference of cantilever base displacement is equivalent to the nano-indentation difference. The proposed method is not limited by the AFM z-axis dynamics, and this improvement is proved by both the theoretical analysis and the experimental results. Experimental results clearly show the efficacy of the proposed approach to the indentation measurement during broadband and in-liquid nano-mechanical measurements. The new control-based approach achieves accurate indentation quantification in broadband and in-liquid nanomechanical property measurements.
Market Applications:
Indentation quantification in broadband and in-liquid nanomechanical property measurements
Advantages:
- Achieves accurate indentation quantification in broadband and in-liquid nanomechanical property measurements
- Proposed method is not limited by the AFM z-axis dynamics
- Difference of cantilever base displacement is equivalent to the nano indentation difference
Intellectual Property & Development Status:
Patent pending