Probing power laws in multifrequency AFM
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 (...
| Autores: | , , , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/386115 |
| Acesso em linha: | https://hdl.handle.net/2117/386115 https://dx.doi.org/10.1063/5.0141741 |
| Access Level: | acceso abierto |
| Palavra-chave: | Atomic force microscopy Amplitude modulation Inverse-square law Van der Waals forces Dielectric properties Integral equations Numerical integration Newtonian mechanics Ferroelectric materials Frequency modulation Microscòpia de força atòmica Modulació (Electrònica) Àrees temàtiques de la UPC::Enginyeria electrònica |
| Resumo: | 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 ¼ 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. |
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