Introduction
High temperature superconductors are material which conduct electricity without resistance at much higher critical temperature than earlier superconductors- typically above the temperature of liquid nitrogen. Our goal was to learn more about these materials and finally make our own high temperature superconductor, YBa2Cu3O6+x (YBCO).
Some Critical Temperatures of Superconducting Materials
4.2 K 1911 Hg
23 K 1973 Nb3Ge
35 K 1986 LaBaCuO4
92 K 1986 YBa2Cu3O7
110 K 1987 NiCaSrCu2O9
125 K 1988 TISrBaCuO
133 K (up to 160 K 1993 HgBa2Ca2Cu3O8
under pressure)
Experiment
There were many instruments used in our synthesis of a high temperature superconductor. Primarily a furnace was used because of the 950° C needed to heat the sample. We utilize the solid-state reaction method of the synthesis in which the starting materials were weighed, mixed thoroughly and ground with a mortar and pestle until our sample was a uniform gray color. The sample was then heated in an Al2O3 boat. The sample was ground and reheated several times. Finally, the sample was ground pressed into a pellet for testing.
Chemical Stoichiometry
We prepared approximately 30 grams of YBCO in our experiment. We had to determine the exact amount of each compound to use. The solid phase reaction is based on the following equation:
0.5Y2O3 + 2BaCO3 + 3CuO à YBa2Cu3O6+x + 2CO2
C,O are remove as gasses. They are not accounted for in balancing the equation. To produce 30 grams of YBCO we calculated the required amounts of starting materials (see left side of above equation)
Determination of the Molecular Weight of YBCO
YBa2Cu3O7
1(88.9059) = 88.9059
2(137.33) = 274.66
3(63.546) = 190.638
7(15.9994) = 111.9958
666.1997 grams/mole
30g of YBCO = 0.0450315 moles of YBCO
666.1997 g/m
Determination of the Required Weight of Y2O3
2(88.9059) = 177.8118
3(15.9994) = 47.9982
225.81 grams/mole
0.0450315 moles of * 225.81 g/m = 5.084 grams
2
Determination of the Required Weight of BaCO3
1(137.33) = 137.33
1(12.011) = 12.011
3(15.9994) = 47.9982
197.9982grams/mole
2(0.0450315) * 197.3392 = 17.77296 grams
Determination of the Required Weight of CuO
1(63.546) = 63.546
1(15.9994) = 274.66
79.5454grams/mole
3(0.045.315) * 79.5454 = 10.813799 grams
Characterization
During our project we used an x-ray diffractor and a raman spectrum to determine if our sample was pure or not. The x-ray diffractor showed our sample was very similar to a pure one (see chart of d-space and intensity measurements). The Raman Spectrum was not inconclusive. However, the Meissiner was positive.
Meissner Effect
We knew our sample was pure when we tested it for the Meissner effect. The Meissner Effect is the phnomenon where a superconductor expels all magnetic fields. A light powerful magnet will then float above the superconductor if the temperature of the superconductor is below its Critical temperature. Our sample was chilled using liquid nitrogen and as soon as it reached its critical temperature the magnet began to float above the superconductor pellet. This proved definitively that we had synthesized YBCO.
Applications
Application
Current Emerging
Medical
Magnetic resonance image x
Biotechnical engineering x
Electronics
SQUIDs x
Transistors x
Josephson Junction devices x
Circuitry connections x
Particle accelerators x
Sensors x
Industrial
Separation x
Magnets x
Sensors and transducers x
Magnetic shielding x
Power Genaeration
Motors x
Generators x
Energy Storage x
Transmission x
Fusion x
Transformers and Inductors x
Transportation
Magnetically levitated vehicles x
Marine propulsion x
A large number of possible applications exist. High temperature superconductors hold the promise to impact our everyday lives significantly.
Physical Properties
Bc(T) = Bc(0k) [ 1 – (T/Tc)^2]
Critical Magnetic field
Tc = (k/M)alpha
Critical temperature on an isotope :
k = constant, M = isotopic mass,
alpha = isotope-effect exponent
Discussion and Summary
After our work was completed we successfully made our high temperature superconductor. However, our Raman spectrum was inconclusive due possible to low signal or equipment failure. Our final test of the Meissner effect was the definitive test. During the test a small magnet levitaed over our superconductor.
Our experience during this summer here was enlightnen. We learned of a product which can save a lot of money and got the opportunity to make one first hand. Superconductors can be used in a wide variety of ways. We both had a wonderful time creating something so powerful and helpful to everyone.