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Learning objectives

By the end of this section, you will be able to:

  • Identify superconductors and their uses.
  • Discuss the need for a high- T c superconductor.

Superconductors    are materials with a resistivity of zero. They are familiar to the general public because of their practical applications and have been mentioned at a number of points in the text. Because the resistance of a piece of superconductor is zero, there are no heat losses for currents through them; they are used in magnets needing high currents, such as in MRI machines, and could cut energy losses in power transmission. But most superconductors must be cooled to temperatures only a few kelvin above absolute zero, a costly procedure limiting their practical applications. In the past decade, tremendous advances have been made in producing materials that become superconductors at relatively high temperatures. There is hope that room temperature superconductors may someday be manufactured.

Superconductivity was discovered accidentally in 1911 by the Dutch physicist H. Kamerlingh Onnes (1853–1926) when he used liquid helium to cool mercury. Onnes had been the first person to liquefy helium a few years earlier and was surprised to observe the resistivity of a mediocre conductor like mercury drop to zero at a temperature of 4.2 K. We define the temperature at which and below which a material becomes a superconductor to be its critical temperature    , denoted by T c size 12{T rSub { size 8{c} } } {} . (See [link] .) Progress in understanding how and why a material became a superconductor was relatively slow, with the first workable theory coming in 1957. Certain other elements were also found to become superconductors, but all had T c size 12{T rSub { size 8{c} } } {} s less than 10 K, which are expensive to maintain. Although Onnes received a Nobel prize in 1913, it was primarily for his work with liquid helium.

In 1986, a breakthrough was announced—a ceramic compound was found to have an unprecedented T c size 12{T rSub { size 8{c} } } {} of 35 K. It looked as if much higher critical temperatures could be possible, and by early 1988 another ceramic (this of thallium, calcium, barium, copper, and oxygen) had been found to have T c = 125 K size 12{T rSub { size 8{c} } ="125 K"} {} (see [link] .) The economic potential of perfect conductors saving electric energy is immense for T c size 12{T rSub { size 8{c} } } {} s above 77 K, since that is the temperature of liquid nitrogen. Although liquid helium has a boiling point of 4 K and can be used to make materials superconducting, it costs about $5 per liter. Liquid nitrogen boils at 77 K, but only costs about $0.30 per liter. There was general euphoria at the discovery of these complex ceramic superconductors, but this soon subsided with the sobering difficulty of forming them into usable wires. The first commercial use of a high temperature superconductor is in an electronic filter for cellular phones. High-temperature superconductors are used in experimental apparatus, and they are actively being researched, particularly in thin film applications.

The graph shows resistivity on the vertical axis and temperature on the horizontal axis. The resistivity goes from zero to zero point one five ohms and the temperature goes from four point one to four point four kelvin. The curve starts at less than ten to the minus five ohms just below four point two kelvin, then jumps up at four point two kelvin to about zero point one two ohms. As the temperature increases further, the resistivity climbs more or less linearly until it reaches about zero point one four ohms at a temperature just above four point four kelvin.
A graph of resistivity versus temperature for a superconductor shows a sharp transition to zero at the critical temperature T c . High temperature superconductors have verifiable T c s greater than 125 K, well above the easily achieved 77-K temperature of liquid nitrogen.
Practice Key Terms 2

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Source:  OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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