
Chapter 4
Superconductivity
What is superconductivity? Superconductivity
is a phenomenon in which materials conduct electricity
without any resistance.
Electrons
Electrons can detach itself from an atom and be
independent of itself. An atom can only be stable if it
has the same number of positive and negative charges.
When an electron, which has a negative charge, detaches
from an atom, the atom becomes unstable. Since there are
more positive charges than negative charges, the atom
becomes positive. The positive atom is now called an ion.
Lattices
If you would be able to look at a metal conductor with a
very powerful microscope you would be able to see
framework in neat patterns of ions. This is called a
"lattice." In the lattice, the ions are
jiggling and the electrons are moving in random
directions. If you were to lower the temperature the
movement of the ions and electrons will begin to slow
down.
Resistance
If you were to apply pressure to a metal conductor of
electricity the electrons would move in the direction
pushed. The electrons will eventually hit the ions;
making the electrons ricochet off of the ions.
When the electrons collide with the ions it creates
heat. Heat is something we do not want in transferring
electricity. Energy is wasted by the collision of
electrons. This is called electrical
resistance.
The Discovery of Superconductivity
To reduce energy lost we can lower the temperature
because as the temperature is lowered the atoms and
electrons slow down, reducing the chance of the electrons
hitting the atoms.
In April 1911, Heike Kamerlingh Onnes was
experimenting with the resistance of mercury at
temperatures close to absolute zero. He noticed that not
only did the electrical resistance begin to lessen, but
at 4.15K mercury had lost all resistance. The temperature
at which materials become superconductive is called the critical
temperature. Common elements are classified as type I
superconductors.
The table below shows the critical temperatures of
some type I superconductors.
| Element |
Critical Temperature (K) |
| Mercury |
4.153 |
| Lead |
7.193 |
| Aluminum |
1.196 |
| Tin |
3.722 |
| Tungsten |
0.015 |
| Zinc |
0.85 |
| Titanium |
0.39 |
Critical Magnetic Field
Kamerlingh Onnes discovered that when elements are put in
a magnetic field the critical temperature lowers. When a
magnetic field is increased to a certain value, or critical magnetic field,
superconductivity completely goes away. The critical
magnetic field of mercury is 0.041 Teslas and the
critical magnetic field of lead is 0.08 Teslas. (A Tesla
is a unit if measurement to measure the strength of
magnetic fields). For comparison, the magnetic critical
field of the Earth is 0.00005 Teslas.
This discovery discouraged scientists because it is
impossible to avoid magnetic fields. If a magnetic field
is strong enough it can destroy a materials
superconductive state. This is called the critical
current.
Type II Superconductors
The 1950s and 1960s was a time when scientists searched
for superconductors with higher critical temperatures. A
new group of superconductors were found which had the
element Niobium in it. Superconductors that have more
than one element in it is called intermetallic
superconductors. Intermetallic superconductors are
classified as type II superconductors.
The list below tells the critical temperature of some
type II superconductors.
| Element |
Critical Temperature (K) |
| Nb3Sn |
18.0 |
| Nb3Al |
18.7 |
| KNb3Ge |
23.2 |
| NbTi |
10.0 |
| Nb3Ga |
20.0 |
The Meissner
Effect
In 1933 Walther Hans Meissner and Robert Ochsefeld
discovered that when type I superconductors are lowered
below their critical temperature all interior magnetic
fields are gone. The expulsion of all magnetic fields
from the interior to the exterior of the superconductor
is called the Meissner effect. An
example of the Meissner effect is the demonstration in
which a magnet is repelled by a superconductor.
The BCS Theory
In 1957 John Bardeen, Leon Cooper, and John Robert
Schrieffer explained why superconductivity loses all
resistance, known as the BCS theory. For their
findings they shared the Nobel Prize in physics in 1972.
The BCS theory states that single
electrons do not carry an electric current, but paired
electrons do. These pairs are called Cooper pairs.
How can two negative electrons attract
to each other? The reason is because when an electron
collides with a positive atom it deforms it resulting
with a small concentration of positive charge on the
electron. Eventually an electron with some positive
charge on it is attracted to another electron, forming a
Cooper pair. The Cooper pairs flow around impurities and
imperfections in the lattice. This results in no
electrical resistance.
 
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