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Transcript
Are there any dia-electric materials?
Alfred Hubler
Alfred Hubler is the director of the Center for Complex Systems Research at the University of
Illinois at Urbana-Champaign, USA ([email protected], http://server17.howwhy.com/blog/).
Trend lines predict [1] that capacitors will become the leading energy storage technology [2, 3]
within the next decade. In addition they are potentially an enabling technology for a more robust
and resilient power grid [4] and more efficient and safer nuclear power plants [5]. Capacitors are
made of two layers of conducting materials. Between the conductors is a vacuum gap [3], or a
material with low conductivity such as Teflon or air. Gap materials with special electric
properties are used to fabricate capacitors for specific applications. For instance Teflon
capacitors have a large dielectric strength and therefore withstand large voltages. Calcium copper
titanate capacitors have a large dielectric constant and therefore can store a comparatively large
amount of energy at small voltages. Finding materials with unusual electric properties helps to
design capacitors with special properties.
Figure 1 Sketch of the field lines of a positive charge (a), a positive charge and a dielectric
sphere (b), and a positive charge and a dia-electric sphere (c). The arrows indicate the forces.
Dia-electricity is such an unusual property. In contrast to dielectric materials, the force between
dia-electric material and a charge is repulsive. The repulsive force is like the repulsive force
between magnets and diamagnetic materials. A sphere of diamagnetic material creates a
magnetic field which is opposed to the external field and diverts the field lines away from the
sphere. Similarly a sphere of dia-electric material is expected to create an electric field which
diverts the electric field lines away from the sphere (see Fig. 1c), whereas a dielectric material
does the opposite (see Fig. 1b). All materials show a diamagnetic response, however many
materials have other stronger responses in addition, such as ferromagnetism. Only those
materials where the diamagnetic response is larger than all other responses combined are called
diamagnetic. Many common substances are diamagnetic, including water, wood, most organic
compounds such as petroleum and some plastics, and many metals including copper, silver, and
gold. Many common materials are known to be attracted by a charge, but no material has been
found which are repelled by a charge, i.e. where the dia-electric response exceeds all other
interactions with a charge.
In the following we show that aluminum spheres in air are repelled from a charge and argue that
materials with a small work function have a large dia-electric response. Figure 2 shows pictures
of the experimental setup. A 10 g sphere of crumpled aluminum foil with a radius of 1cm is
suspended on a thin yarn in air (see Fig. 2a). Below the sphere is a high voltage electrode with a
100 micron tip radius. The gap between the sphere and the electrode tip is 2 mm. 30 cm above
the sphere is a grounded conducting plate with radius 10cm. When a voltage of 25kV is applied
to the high voltage electrode the sphere is repelled (see Fig. 2b). When the high voltage electrode
is discharged, the sphere returns to its original position.
Figure 1. An aluminum sphere shows a dia-electric response. Initially the sphere is suspended on
a thread above a high-voltage electrode (a). When the electrode is charged the sphere is repelled
(b).
The aluminum sphere shows a dia-electric response, because it is repelled from the electrode. We
assume that two forces act on the sphere: (a) an attractive force due to the induced electric dipole
moment and (b) a repulsive force because the field emission current between the electrode and
the sphere deposits a positive charge on the sphere. Apparently the net force is repulsive and
therefore the aluminum sphere is dia-electric.
Supposedly the charging of the sphere depends on the magnitude of the field emission current. If
the field emission current is suppressed, for example with an insulating coating, the aluminum
sphere would most likely be attracted by the charge, and the sphere would be considered
dielectric.
The magnitude of the field emission current depends on the work function of the material.
Therefore we would expect materials with a small work function to have a large dia-electric
response. Materials with a small work function include alkali metals and aluminum [6].
[1] C. L. Magee, Towards Quantification of the Role of Materials Innovation in Overall
Technological Development, Complexity (2012), Vol. 18, No. 1, 10-25.
[2] A. Hubler, Digital Batteries, Complexity (2008), Vol. 14, No. 3, 7-8
[3] A.Hubler and O. Osuagwu, Digital Quantum Batteries: Energy and Information Storage in
Nanovacuum Tube Arrays, Complexity (2010), Vol. 15, No. 5, 48-55.
[4] A. Hubler, Digital Wires, Complexity (2009),Vol. 14, No. 5, 7-8.
[5] E. Shinn, A. Hubler, D. Lyon, M. Grosse Perdekamp, A. Bezryadin and A. Belkin, Nuclear
energy conversion with stacks of graphene nanocapacitors, to appear in Complexity.
[6] P. Dannetun, M. Lögdlund, C. Fredriksson, R. Lazzaroni, C. Fauquet, S. Stafström, C. W.
Spangler, J. L. Bredás, and W. R. Salaneck. Reactions of low work function metals Na, Al, and
Ca on α,ω‐diphenyltetradecaheptaene. Implications for metal/polymer interfaces. J. Chem. Phys.
(1994), vol. 100, 6765-6572.