1.3.4 Work-Function Distribution Study
In chapter 1.3.2 we considered that it is possible to estimate average electron work-function of electrodes using current-distance experimental curves. However, these measurements give work-function values only in small region where one electrode is located over another. In STM there is another method which is able to measure distribution of work-function along all investigated sample surface.
The work function distribution measurement is performed in parallel with surface topography imaging in the
mode. In this case, the Z-axis piezo tube motion is determined not only by the feedback signal but also by application of an alternating signal producing motion law
. Accordingly, the tip-sample separation is
, where parameter being
,
– tip-sample separation held constant through the feedback,
– Z-axis piezo tube resonant frequency (Fig. 1).
Fig. 1. Diagram of MIM system when tip-sample distance is modulated as
.
If voltage applied between tip and sample is small
, then according to designations introduced, expression (2) from chapter 1.2.2 can be transformed to the following
(1)
where
.
Thus, total current flowing through the tunneling gap in this case is equal to
, where
– alternating tunneling current. Because
is held constant during the scan, the alternating tunneling current amplitude is proportional to the square root of the tip and the sample work function half-sum. Assuming that tip work function is constant during scanning, the
amplitude will depend only on the studied surface work function.
The frequency
, as mentioned above, should be much more than the reciprocal feedback integrator time constant and be limited by maximum permissible scan frequency.
Summary.
- Modulation of tip-sample distance results in oscillations of tunneling current
. - Using this method it is possible to measure the distribution of work-function along all investigated sample surface.
References.
- G. Binnig., H. Rohrer. Scanning tunneling microscopy. Helv. Phys. Acta. - 1982, - V. 55 726.
- A. Burshtein, S. Lundquist. Tunneling phenomena in solid bodies. Mir, 1973 (in Russian).
- E. Wolf. Electron tunneling spectroscopy principles. Kiev: "Naukova Dumka", 1990, 454 p. (in Russian).