Torsional Resonators Based on Inorganic Nanotubes
Yiftach Divon,
†
Roi Levi,
†
Jonathan Garel,
†
Dmitri Golberg,
∥
Reshef Tenne,
†
Assaf Ya’akobovitz,
§
and Ernesto Joselevich*
,†
†
Department of Materials and Interfaces, Weizmann Institute of Science, Rehovot 76100, Israel
∥
International Center for Materials Nanoarchitectonics (MANA), National Institute for Materials Science (NIMS), Namiki 1-1,
Tsukuba, Ibaraki 305-0044, Japan
§
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva 8410501, Israel
* S Supporting Information
ABSTRACT: We study for the first time the resonant
torsional behaviors of inorganic nanotubes, specifically
tungsten disulfide (WS
2
) and boron nitride (BN) nanotubes,
and compare them to that of carbon nanotubes. We have
found WS
2
nanotubes to have the highest quality factor (Q)
and torsional resonance frequency, followed by BN nanotubes
and carbon nanotubes. Dynamic and static torsional spring
constants of the various nanotubes were found to be different,
especially in the case of WS
2
, possibly due to a velocity-
dependent intershell friction. These results indicate that
inorganic nanotubes are promising building blocks for high-
Q nanoelectromechanical systems (NEMS).
KEYWORDS: Nanotube, nanoelectromechanical systems (NEMS), torsion, oscillator, nanomechanics, inorganic nanotubes
I
norganic nanotubes, first reported in 1992,
1
are increasingly
attracting interest as the rolled-up version of noncarbon 2D
materials, and potential building blocks for nanotechnology.
2
What is their potential for nanoelectromechanical systems
(NEMS)? Carbon nanotubes (CNTs) have long been regarded
as attractive building blocks for NEMS owing to their
outstanding mechanical and electrical properties, as well as
their unique electromechanical coupling.
3
In particular, tor-
sional electromechanical systems could be used as the basis for
gyroscopes for navigation of ultraminiaturized unmanned aerial
vehicles (UAVs),
4
and for various chemical and biological
sensors.
5
Extensive work has been done with respect to CNT-
based torsional devices: fabrication,
6
characterization of tor-
sional
7
and electromechanical properties in single-walled
CNTs
8
(SWCNTs) and multiwalled CNTs
9,10
(MWCNTs),
and creation of MWCNT and SWCNT torsional resona-
tors.
11,12
One of the most critical factors determining the
sensitivity of resonant NEMS is their quality factor−a
dimensionless parameter corresponding to the ratio between
the stored and dissipated energy per cycle. Namely, the higher
the quality factor, the less energy gets dissipated during one
oscillation cycle. Internal friction, interlayer coupling, crystallo-
graphic structure, and chemical composition can play a critical
role in determining the torsional behavior of nanotubes and
specifically their quality factor (Q). WS
2
nanotubes (WS
2
NTs)
are a promising material owing to their significant electro-
mechanical response,
13
stick−slip torsional behavior,
14
and high
current-carrying capacity.
15
Boron nitride NTs (BNNTs), with
their ultrahigh torsional stiffness and torsional strength,
16
and
their carbon-doped version, BCNNTs, which have shown a
significant electromechanical response,
17
seem very promising
as well. Thus, these properties and the aspects influencing the
quality factor have motivated us to examine inorganic
nanotubes (INTs) as potential building blocks for torsional
devices.
Here we demonstrate the first torsional resonators based on
inorganic nanotubes and study the effect of the NT material on
the torsional resonator properties, in ambient conditions and in
vacuum. INTs exhibit higher torsional resonance frequencies
and quality factors, extending the available material toolbox for
torsional NEMS devices. This work further demonstrates that
INTs are promising building blocks for NEMS in general and
torsional NEMS in particular.
The torsional resonators used in this work are quite similar
to devices previously used in our group to study the torsional
properties of CNTs,
9,10
BNNTs,
16
and WS
2
NTs,
13,14
except
for an intentional broken symmetry that enables their
electrostatic actuation. A torsional resonator (Figure 1) consists
of a suspended nanotube (MWCNT, BNNT or WS
2
NT)
clamped between metallic pads at its ends, with a suspended
pedal attached to its top. The pedal is off-centered with respect
to the nanotube, so that each end of the pedal stands at a
different distance from the nanotube (Figures 1b,c). The
resonators were fabricated using electron-beam lithography,
Received: July 20, 2016
Revised: December 16, 2016
Letter
pubs.acs.org/NanoLett
© XXXX American Chemical Society A DOI: 10.1021/acs.nanolett.6b03012
Nano Lett. XXXX, XXX, XXX−XXX