An Experimental Study of the Line Shape of Orbital Mediated Tunneling Bands Seen in
Inelastic Electron Tunneling Spectroscopy
K. W. Hipps* and Ursula Mazur
Department of Chemistry and Materials Science Program, Washington State UniVersity,
Pullman, Washington 99164-4630
ReceiVed: December 17, 1999; In Final Form: February 21, 2000
The line shape of inelastic transitions seen in inelastic electron tunneling spectroscopy (IETS) performed on
metal-insulator-adsorbate-metal junctions is well understood. Recently, there have been reports of quasi-
elastic processes leading to strong wide bands in what heretofore had been called IETS. It is demonstrated
that these quasi-elastic ionizations, known as orbital mediated tunneling (OMT) bands, are actually differential
in nature. However, because of the steeply rising elastic background in IETS, and because of the asymmetric
shape of these bands, they often give the appearance of simple peaks. It is experimentally shown that the
position and width of these false peaks can be used to reasonably estimate the actual maximum in the density
of states associated with the orbital mediated transition.
Introduction
Inelastic electron tunneling spectroscopy is an all electron
spectroscopy that has been extensively reviewed.
1-7
By measur-
ing currents and voltages across a metal-insulator-adsorbate-
metal (M-I-A-M′) device, one is able to extract vibrational
and electronic spectroscopic information about the metals, the
insulator, and the adsorbate.
In its simplest form, an IET spectrum is a plot of d
2
I/dV
2
versus V. It turns out that using |d
2
I/dV
2
/(dI/dV)| [or |(dσ/dV)/
σ|] as the y axis provides spectra having flatter baselines and is
most appropriate for high bias work.
8-11
These are called
normalized tunneling intensities (NTI) or constant modulation
spectroscopy intensities. Simple tunneling spectra are measured
by applying a variable bias, V, and a small modulation
component, V
f
, at frequency, f. A lock-in amplifier is used to
detect the 2f signal that is proportional to d
2
I/dV
2
. The
instrumentation required for obtaining normalized intensities,
NTI, is a bit more complex.
8-10
In general, the bias voltage
may be converted to the more conventional wavenumbers
through the factor of 8066 cm
-1
/V. The amplitude of the
modulation determines the observed signal strength and resolu-
tion, with the signal increasing as V
f
2
while the line width is
proportional to V
f
.
1,12
Until relatively recently, it was assumed that all the bands
seen by this method were due to inelastic interactions between
the tunneling electron and the barrier region.
1,13
Kirtley and
Soven first considered the possibility of resonant scattering.
13
They argued that resonant scattering should be signaled by
multiple overtones in the coupling vibrations. Since even single
overtone bands are almost never seen in IETS,
6
they concluded
that the role of resonant scattering was generally negligible. In
the tunnel junction spectroscopy community, this idea was so
strongly imbedded that the name, inelastic electron tunneling
spectroscopy (IETS), became synonymous with all d
2
I/dV
2
vs
V spectra. Although it did not receive much attention, a
theoretical analysis presented by Persson and co-workers,
showed that under certain conditions resonance tunneling via
adsorbate electronic states might not produce multiple phonon
bands.
14,16
These conditions, for a single active mode, are that
the vibrational frequency and electronic-vibrational coupling
parameter both be small compared to the width of the resonant
electronic transition. As the number of active modes increases,
the distortion per mode usually grows smaller, thereby reducing
the coupling parameter for each mode. Thus, in the case of a
complex molecular electronic transition, one might not observe
multiphonon transitions.
While resonance-like effects were first attributed to features
in the IETS in 1991,
17
the first clear-cut evidence of elastic
tunneling via adsorbate molecular orbitals in M-I-A-M′
diodes was provided in 1994.
18,19
Later, Mazur and Hipps
proposed a simple model based on electrochemical redox
potentials for predicting the position of these bands that they
called orbital mediated tunneling (OMT) bands.
20
Since then,
there has been progress in identifying features in the tunneling
spectrum that are associated with quasi-resonant tunneling
through adsorbate orbitals, both occupied and unoccupied.
21,22
In the STM realm, elastic tunneling via surface states has
been well-known and discussed.
23-25
In this case peaks are
observed in dI/dV (or σ) versus bias voltage curves. In the case
of semiconductors and metals, these surface state variations are
in the electrodes, but cases of adsorbate orbital mediated tun-
neling in STM are known both in UHV
22,25
and in solution.
26-28
In UHV the orbital mediation may take the role of a direct
resonance interaction (virtual state) or may be through a phonon-
mediated resonance interaction or through simple hopping. In
solution STM work, redox enhanced tunneling was predicted
on theoretical grounds by Schmickler
29
for true resonance
processes, and by Kuznetsov
30
in the case where there is
relaxation of the intermediate ion before the electron is
transferred to the opposite electrode. Experimentally, both
mechanisms lead to Gaussian-like bands in dI/dV.
27
This issue
of resonant tunneling versus electron hopping with the molecular
ion being an intermediate state is still not resolved. It is
presumed that all of these processes would fall under the general
topic of orbital mediated tunneling spectroscopy (OMTS).
Because of the confusion associated with which mechanism
applies to a given process, we in general identify all OMT
transitions as associated with quasi-resonance processes.
4707 J. Phys. Chem. B 2000, 104, 4707-4710
10.1021/jp994421i CCC: $19.00 © 2000 American Chemical Society
Published on Web 04/26/2000