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Lateral force microscopy (LFM) measures lateral
deflections (twisting) of the cantilever that arise from forces
on the cantilever parallel to the plane of the sample surface.
LFM studies are useful for imaging variations in surface friction
that can arise from inhomogeneity in surface material, and also
for obtaining edge-enhanced images of any surface.
As depicted in Figure 4, lateral deflections
of the cantilever usually arise from two sources: changes in
surface friction and changes in slope. In the first case, the
tip may experience greater friction as it traverses some areas,
causing the cantilever to twist more strongly. In the second
case, the cantilever may twist when it encounters a steep slope.
To separate one effect from the other, LFM and AFM images should
be collected simultaneously.

Figure 4.Lateral deflection of the cantilever
from changes in surface friction (top) and from changes in slope
(bottom). LFM uses a position-sensitive photodetector to detect
the deflection of the cantilever, just as for AFM. The difference
is that for LFM, the PSPD also senses the cantilever's twist,
or lateral deflection. Figure5 illustrates the difference between
an AFM measurement of the vertical deflection of the cantilever,
and an LFM measurement of lateral deflection. AFM uses a "bi-cell"
PSPD, divided into two halves, A and B. LFM requires a "quad-cell"
PSPD, divided into four quadrants, A through D. By adding the
signals from the A and C quadrants, and comparing the result
to the sum from the B and D quadrants, the quad-cell can also
sense the lateral component of the cantilever's deflection.
A properly engineered system can generate both AFM and LFM data
simultaneously.

Figure 5. The PSPD for AFM (top) and LFM (bottom).
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