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Probing power laws in multifrequency AFM

2023; American Institute of Physics; Volume: 122; Issue: 7 Linguagem: Inglês

10.1063/5.0141741

1520-8842

Sérgio Santos, Karim Gadelrab, Tuza Adeyemi Olukan, J. Font, Víctor Barcons, Matteo Chiesa,

Advanced Electron Microscopy Techniques and Applications

Quantification of conservative forces in multifrequency atomic force microscopy requires solving the general equations of the theory expressed in terms of the virials of interaction. Power law expressions are commonly utilized when dealing with electrostatic, ferroelectric, magnetic, or long range (van der Waals) forces. Here, we discuss long range forces modeled in terms of power laws (n), where the exponent n covers the range n = 2–5, and employ the multifrequency theory to explore the relevant parameter space. Numerical integration of the equations of motion suggest that only a narrow range of operational parameters are available when imaging where the approximations are valid. Albeit these conditions exist, and the corresponding errors can be as low as 10% throughout for all exponents explored.