TY - JOUR A1 - Solares, Santiago D. T1 - A simple and efficient quasi 3-dimensional viscoelastic model and software for simulation of tapping-mode atomic force microscopy JF - Beilstein Journal of Nanotechnology PY - 2015/// VL - 6 SP - 2233 EP - 2241 SN - 2190-4286 DO - 10.3762/bjnano.6.229 PB - Beilstein-Institut JA - Beilstein J. Nanotechnol. UR - https://doi.org/10.3762/bjnano.6.229 KW - atomic force microscopy (AFM) KW - modeling KW - multifrequency KW - multimodal KW - polymers KW - simulation KW - spectroscopy KW - standard linear solid KW - tapping-mode AFM KW - viscoelasticity N2 - This paper introduces a quasi-3-dimensional (Q3D) viscoelastic model and software tool for use in atomic force microscopy (AFM) simulations. The model is based on a 2-dimensional array of standard linear solid (SLS) model elements. The well-known 1-dimensional SLS model is a textbook example in viscoelastic theory but is relatively new in AFM simulation. It is the simplest model that offers a qualitatively correct description of the most fundamental viscoelastic behaviors, namely stress relaxation and creep. However, this simple model does not reflect the correct curvature in the repulsive portion of the force curve, so its application in the quantitative interpretation of AFM experiments is relatively limited. In the proposed Q3D model the use of an array of SLS elements leads to force curves that have the typical upward curvature in the repulsive region, while still offering a very low computational cost. Furthermore, the use of a multidimensional model allows for the study of AFM tips having non-ideal geometries, which can be extremely useful in practice. Examples of typical force curves are provided for single- and multifrequency tapping-mode imaging, for both of which the force curves exhibit the expected features. Finally, a software tool to simulate amplitude and phase spectroscopy curves is provided, which can be easily modified to implement other controls schemes in order to aid in the interpretation of AFM experiments. ER - TY - JOUR AU - Cleveland, J. P. AU - Anczykowski, B. AU - Schmid, A. E. AU - Elings, V. B. JF - Appl. Phys. Lett. PY - 1998/// VL - 72 SP - 2613 EP - 2615 DO - 10.1063/1.121434 ER - TY - JOUR AU - Martínez, N. F. AU - García, R. JF - Nanotechnology PY - 2006/// VL - 17 SP - S167 EP - S172 DO - 10.1088/0957-4484/17/7/S11 ER - TY - JOUR AU - Rabe, U. AU - Janser, K. AU - Arnold, W. JF - Rev. Sci. Instrum. PY - 1996/// VL - 67 SP - 3281 EP - 3293 DO - 10.1063/1.1147409 ER - TY - JOUR AU - Killgore, J. P. AU - Yablon, D. G. AU - Tsou, A. H. AU - Gannepalli, A. AU - Yuya, P. A. AU - Turner, J. A. AU - Proksch, R. AU - Hurley, D. C. JF - Langmuir PY - 2011/// VL - 27 SP - 13983 EP - 13987 DO - 10.1021/la203434w ER - TY - JOUR AU - Stan, G. AU - King, S. W. AU - Cook, R. F. JF - Nanotechnology PY - 2012/// VL - 23 SP - 215703 DO - 10.1088/0957-4484/23/21/215703 ER - TY - JOUR AU - Platz, D. AU - Forchheimer, D. AU - Tholén, E. A. AU - Haviland, D. B. JF - Nanotechnology PY - 2012/// VL - 23 SP - 265705 DO - 10.1088/0957-4484/23/26/265705 ER - TY - JOUR AU - Borysov, S. S. AU - Platz, D. AU - de Wijn, A. S. AU - Forchheimer, D. AU - Tolén, E. A. AU - Balatsky, A. V. AU - Haviland, D. B. JF - Phys. Rev. B PY - 2013/// VL - 88 SP - 115405 DO - 10.1103/PhysRevB.88.115405 ER - TY - JOUR AU - Herruzo, E. T. AU - Perrino, A. P. AU - Garcia, R. JF - Nat. Commun. PY - 2014/// VL - 5 SP - 3126 DO - 10.1038/ncomms4126 ER - TY - JOUR AU - Dietz, C. AU - Schulze, M. AU - Voss, A. AU - Rieschc, C. AU - Stark, R. W. JF - Nanoscale PY - 2015/// VL - 7 SP - 1849 EP - 1856 DO - 10.1039/c4nr05907g ER - TY - JOUR AU - Solares, S. D. JF - Beilstein J. Nanotechnol. PY - 2014/// VL - 5 SP - 1649 EP - 1663 DO - 10.3762/bjnano.5.176 ER - TY - JOUR AU - López-Guerra, E. A. AU - Solares, S. D. JF - Beilstein J. Nanotechnol. PY - 2014/// VL - 5 SP - 2149 EP - 2163 DO - 10.3762/bjnano.5.224 ER - TY - JOUR AU - García, R. AU - Pérez, R. JF - Surf. Sci. Rep. PY - 2002/// VL - 47 SP - 197 EP - 301 DO - 10.1016/S0167-5729(02)00077-8 ER - TY - JOUR AU - Stan, G. AU - Solares, S. D. AU - Pittenger, B. AU - Erina, N. AU - Su, C. JF - Nanoscale PY - 2014/// VL - 6 SP - 962 EP - 969 DO - 10.1039/c3nr04981g ER - TY - JOUR AU - Rodríguez, T. R. AU - García, R. JF - Appl. Phys. Lett. PY - 2004/// VL - 84 SP - 449 EP - 451 DO - 10.1063/1.1642273 ER - TY - JOUR AU - Garcia, R. AU - Herruzo, E. T. JF - Nat. Nanotechnol. PY - 2012/// VL - 4 SP - 217 EP - 226 DO - 10.1038/nnano.2012.38 ER - TY - JOUR AU - Ebeling, D. AU - Eslami, B. AU - Solares, S. D. JF - ACS Nano PY - 2013/// VL - 7 SP - 10387 EP - 10396 DO - 10.1021/nn404845q ER - TY - JOUR AU - Williams, J. C. AU - Solares, S. D. JF - Beilstein J. Nanotechnol. PY - 2013/// VL - 4 SP - 87 EP - 93 DO - 10.3762/bjnano.4.10 ER - TY - JOUR AU - Stark, M. AU - Stark, R. W. AU - Heckl, W. M. AU - Guckenberger, R. JF - Proc. Natl. Acad. Sci. U. S. A. PY - 2002/// VL - 99 SP - 8473 EP - 8478 DO - 10.1073/pnas.122040599 ER - TY - JOUR AU - Sahin, O. AU - Magonov, S. AU - Su, C. AU - Quate, C. F. AU - Solgaard, O. JF - Nat. Nanotechnol. PY - 2007/// VL - 2 SP - 507 EP - 514 DO - 10.1038/nnano.2007.226 ER - TY - JOUR AU - Solares, S. D. AU - Hölscher, H. JF - Nanotechnology PY - 2010/// VL - 21 SP - 075702 DO - 10.1088/0957-4484/21/7/075702 ER -