122
CARBONNANOSTRUCTURES
magnetoresistance effect because the resistance decreases with increasing DC
magnetic field, so its reciprocal, the conductance G = 1 / R , increases. This occurs
because when a DC magnetic field is applied to the nanotubes, the conduction
electrons acquire new energy levels associated with their spiraling motion about
the field. It turns out that for nanotubes these levels, called Landau levels, lie very
close to the topmost filled energy levels (the Fermi level). Thus there are more available
states for the electrons to increase their energy, and the material is more conducting.
5.4.4. Vibrational Properties
The atoms in a molecule or nanoparticle continually vibrate back and forth. Each
molecule has a specific set of vibrational motions, called normal modes of vibration,
which are determined by the symmetry of the molecule For example carbon dioxide
C02, which has the structure O=C=O, is a bent molecule with three normal modes.
One mode involves a bending of the molecule. Another, called the symmetric
stretch, consists of an in-phase elongation of the two C=O bonds. The asymmetric
E, , 17 cm-’
A,g 165 cm-’
Figure 5.19. Illustration of two normal modes of vibration of carbon nanotubes
CARBONNANOSTRUCTURES
magnetoresistance effect because the resistance decreases with increasing DC
magnetic field, so its reciprocal, the conductance G = 1 / R , increases. This occurs
because when a DC magnetic field is applied to the nanotubes, the conduction
electrons acquire new energy levels associated with their spiraling motion about
the field. It turns out that for nanotubes these levels, called Landau levels, lie very
close to the topmost filled energy levels (the Fermi level). Thus there are more available
states for the electrons to increase their energy, and the material is more conducting.
5.4.4. Vibrational Properties
The atoms in a molecule or nanoparticle continually vibrate back and forth. Each
molecule has a specific set of vibrational motions, called normal modes of vibration,
which are determined by the symmetry of the molecule For example carbon dioxide
C02, which has the structure O=C=O, is a bent molecule with three normal modes.
One mode involves a bending of the molecule. Another, called the symmetric
stretch, consists of an in-phase elongation of the two C=O bonds. The asymmetric
E, , 17 cm-’
A,g 165 cm-’
Figure 5.19. Illustration of two normal modes of vibration of carbon nanotubes