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Teraflop 73 - Novembre - cesca

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During the last years a new interdisciplinary<br />

field has appeared,<br />

focusing its interest<br />

on nanoscale objects. The size of the<br />

systems involved must be of the order<br />

of nanometers, that corresponds<br />

to the medium-sized molecules.<br />

Thus, usual molecules with biological<br />

interest are too large and bulk materials<br />

widely employed for their physical<br />

properties are also excluded.<br />

Nevertheless, the limits of the size<br />

are in some cases not strictly fulfilled<br />

and some studies with antibodies<br />

and viruses are, for instance, also<br />

considered in the field of Nanotechnology.<br />

The main goal in this area is<br />

to be able to manufacture molecules<br />

with properties analogous to those of<br />

objects that we employ commonly.<br />

Hence new terms such as nanotubes,<br />

nanoengines, molecular electronics,<br />

molecular machines or nanomagnets<br />

among others are now employed<br />

commonly by biologists, chemists<br />

and physicists.<br />

Magnetism is one of the fundamental<br />

properties of matter that is related<br />

to the presence of unpaired<br />

electrons in the atoms, generally<br />

quantified at the microscopic scale<br />

with a magnitude called spin. In the<br />

field of Magnetism, during decades<br />

the studies using molecular entities<br />

were basically aimed at the replacement<br />

of many metal and ceramic materials<br />

by lightweight molecule-based<br />

materials. Such metallic and ceramic<br />

materials are widely employed in<br />

electricity installations and electric<br />

motors, telecommunication devices, as<br />

well as for information storage in computers<br />

among many other important<br />

common uses. However, at the beginning<br />

of the 90s, it was discovered that<br />

a single molecule containing transition<br />

metal atoms can behave as a magnet.<br />

Are Single-Molecule Magnets<br />

Potentially Nanomagnets?<br />

Eliseo Ruiz Sabín<br />

Departament de Química Inorgànica<br />

Universitat de Barcelona<br />

The first system studied was the complex<br />

known as Mn 12 (see Figure 1).<br />

The main difference of such system<br />

with the usual magnetic behavior previously<br />

known for transition metal<br />

complexes is that it shows a slow relaxation<br />

of the magnetization. In other<br />

words, the molecule is able to keep<br />

the spin oriented for months at low<br />

temperature after being exposed to a<br />

magnetic field. In contrast to the most<br />

common behavior is that the spin of<br />

the molecules disappears suddenly<br />

when the molecule is retired of the<br />

magnetic field. Since these experiments<br />

with the Mn 12 complex, other<br />

transition metal complexes that present<br />

a similar behavior have been<br />

found. It is worth mentioning the Fe 8<br />

complex that has been also widely<br />

studied. These molecules are now often<br />

called “single-molecule magnets”<br />

(SMMs) and they can be considered<br />

as potential nanomagnets.<br />

A second important property of<br />

SMMs is the presence of quantum tunneling<br />

that facilitates the relaxation of<br />

the magnetization. This effect is interesting<br />

in the field of quantum computing<br />

where information can be handled<br />

taking advantage of quantum effects<br />

but it should be suppressed to have an<br />

“ideal” magnet. In the presence of a<br />

magnetic field, the spin of the molecule<br />

adopts the direction imposed by<br />

the field (see 1 and 2 in Figure 2).<br />

However, if the system returns to zerofield<br />

conditions it can be described<br />

again as two degenerate minima corresponding<br />

to the two opposite directions<br />

of the spin. In such conditions, the<br />

relaxation of the spin can be thermally<br />

induced jumping the barrier from one<br />

minimum to the other or simply<br />

through tunneling between thermally<br />

activated states (see 3 in Figure 2).<br />

Hence there is a crucial parameter that<br />

controls mainly all these processes<br />

that is the height of the barrier, which<br />

depends of the magnetic anisotropy<br />

and the total spin of the molecule.<br />

In order to increase the singlemolecule<br />

magnet character, the goal<br />

is to make molecules with high total<br />

spin and simultaneous large magnetic<br />

anisotropy. The total spin of the molecule<br />

is equal to the sum or the difference<br />

of the local spins of the paramagnetic<br />

centers, depending on the<br />

nature of the interaction between<br />

them. Thus, if the coupling is ferromagnetic,<br />

the total spin is the sum of<br />

the local spins, while if the interaction<br />

is antiferromagnetic (or ferrimagnetic<br />

when the local spins are different) the<br />

total spin is the difference between local<br />

spins. The ideal picture to obtain<br />

large total spin values would be to<br />

have ferromagnetic interactions, unfortunately<br />

antiferromagnetic (or ferrimagnetic)<br />

couplings are the most<br />

common behaviors. For that reason,<br />

chemists are trying to synthesize molecules<br />

with a larger number of paramagnetic<br />

transition metals with ferromagnetic<br />

couplings as well as ferrimagnetically-coupled<br />

systems with<br />

transition metals with different local<br />

spins to obtain the largest possible total<br />

spin. Up to now, two complexes<br />

with S=33/2 and 39/2 are the largest<br />

values for well-characterized compounds,<br />

corresponding to Fe 19 and<br />

Mn 9W6 complexes, respectively, whilst<br />

the most studied Mn 12 and Fe8 complexes<br />

have S=10. From the experimental<br />

point of view it is practically<br />

impossible to predict a priori the total<br />

spin of this kind of molecules. In such<br />

a way, obtaining better SMMs is a<br />

serendipitous task, synthesizing many<br />

new complexes to obtain systems with<br />

improved magnetic properties. For<br />

that reason, theoretical methods are

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