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Introduction to Nanotechnology

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11 2 CARBON NANOSTRUCTURES<br />

molecules. When C60 is doped with potassium <strong>to</strong> form K3C60, the potassium a<strong>to</strong>ms<br />

become ionized <strong>to</strong> form Kf and their electrons become associated with the C60,<br />

which becomes a C603- triply negative ion. Thus each C6,, has three extra electrons<br />

that are loosely bonded <strong>to</strong> the C60, and can move through the lattice making C60<br />

electrically conducting. In this case the C60 is said <strong>to</strong> he electron-doped.<br />

5.3.5. Superconductivity in C6,,<br />

Superconductivity is a state of matter in which the resistance of a sample becomes<br />

zero, and in which no magnetic field is allowed <strong>to</strong> penetrate the sample. The latter<br />

manifests itself as a reduction of the magnetic susceptibility x of the sample <strong>to</strong><br />

x = - 1 (in the MKS system). In 199 1, when A. E Hebard and his co-workers at Bell<br />

Telephone Labora<strong>to</strong>ries doped C6,, crystals with potassium by the methods described<br />

above and tested them for superconductivity, <strong>to</strong> the surprise of all, evidence was<br />

found for a superconducting transition at 18 K. Figure 5.8 shows the drop in the<br />

magnetization indicative of the presence of superconductivity. A new class of<br />

superconducting materials had been found having a simple cubic structure and<br />

containing only two elements. Not long after the initial report it was found that many<br />

alkali a<strong>to</strong>ms could he doped in<strong>to</strong> the lattice, and the transition temperature increased<br />

<strong>to</strong> as high as 33 K in Cs2RbC60, As the radius of the dopant alkali a<strong>to</strong>m increases,<br />

the cubic C60 lattice expands, and the superconducting transition temperature goes<br />

up. Figure 5.9 is a plot of the transition temperature versus the lattice parameter.<br />

It was mentioned above that graphite consists of parallel planar graphitic sheets of<br />

carbon a<strong>to</strong>ms. It is possible <strong>to</strong> put other a<strong>to</strong>ms between the planes of these sheets, a<br />

procedure called intercalation. When intercalated with potassium a<strong>to</strong>ms, crystalline<br />

graphite becomes superconducting at the extremely low temperature of a few tenths<br />

of a kelvin.<br />

z<br />

0 0.025<br />

k<br />

-0.025<br />

I I , I , I I I I , I I I I (<br />

*****<br />

l I I I<br />

-<br />

-<br />

z<br />

9 -0.075 I<br />

z<br />

-0.125<br />

-<br />

-<br />

N<br />

2 -0.175<br />

-<br />

z<br />

0 -0.225<br />

' ' ' ' ' I<br />

I I I '<br />

I<br />

' I ' I ' ' ' '<br />

TEMPERATURE (K)<br />

Figure 5.8. Magnetization versus temperature for K3C6,, showing the transition <strong>to</strong> the super-<br />

conducting state. [Adapted from A. F. Hebard, Phys. Today29 (Nov. 1992).]

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