We present a theoretical model of the scanning force microscope using
an atomistic simulation technique for the interaction between a crysta
lline sample and a tip nanoasperity combined with a semiempirical trea
tment of the mesoscopic van der Waals attraction between tip and surfa
ce, and the macroscopic parameter of cantilever deflection. For the na
noasperity at the end of the tip, we used a neutral and a protonated (
MgO)(32) cube, which model a hard tip made of oxide material. Static c
alculations based on total-energy minimization were used to determine
the surface and tip geometries and total energy as a function of tip p
osition. Scan lines of the perfect (001) surfaces of NaCl and LiF and
of a monatomic step edge on the surface of NaCl were calculated at dif
ferent constant vertical forces exerted on the tip with and without ju
mp to contact. Ion transfers between sample and tip, together with the
ir effects on the simulated scan trajectories, are illustrated.