Structure Determination of Fe(II) Spin-Crossover Complexes from Powder
Diffraction Data with Direct-Space Methods.
Thesis
by Dr. E. Dova
Summary
Spin crossover is the phenomenon that external influences (temperature,
light or pressure) can change the spin state [high-spin (HS) ↔ low-spin
(LS)] of an atom, thereby changing the total magnetic moment of the compound.
Spin-crossover compounds can be used for storage of information or display
devices, which are important aspects of molecular electronics.
In this thesis, structural studies at various temperatures of five spin-transition
complexes of the form [Fe(teeX)
6]A
2 (teeX = halo-ethyltetrazole,
X = Cl, I, Br, F, and A = BF
4- or ClO
4-)
are reported. These complexes show a remarkable variety of gradual spin-crossover
behaviours: a complete spin transition in [Fe(teei)
6](BF
4)
2
and [Fe(teeb)
6](BF
4)
2, a 50% incomplete
in [Fe(teec)
6](ClO
4)
2, a two-step complete
in [Fe(teec)
6](BF
4)
2, and an incomplete
and possibly two-step in [Fe(teef)
6](BF
4)
2.
All structures have been determined using X-ray powder-diffraction data
with various direct-space methods, as no single-crystal could be prepared
while their structure was thought to be important in order to interpret
their observed spin-crossover behaviour.
Chapter 1 presents a brief introduction to X-rays, the basic elements
of crystallography and diffraction theory, the basic concept of the derivation
of the three-dimensional structure from diffraction data and a short introduction
to powder diffraction.
In Chapter 2 a review is given of the techniques being used nowadays
for the structure determination from powder diffraction data, focusing
to a number of direct-space methods, namely Grid Search (GS), Genetic Algorithm
(GA) and Parallel Tempering (PT) that have been used for structure determination
in this thesis.
Chapter 3 discusses several elements of the Rietveld refinement method,
which has been applied at the structure refinement stage of all compounds.
Chapter 4 contains the experimental work having been carried out and
the obtained results. Diffraction data have been collected with Guinier
camera and at synchrotron radiation facilities, namely the ESRF (Grenoble,
France) and the SPring8 (Hyogo, Japan). Two types of temperature-dependent
diffraction data have been collected at the latter, the first during the
so-called scan experiments (5 min data collection time) at temperatures
300K and from 250 to 90K in steps of 10K, and the second during the long-term
experiments (50-60 min data collection time) at several selected temperatures.
In the first section 4.1, an introduction to the spin-crossover phenomenon
is given with a main emphasis on the Fe(II) compounds exhibiting this
property, as well as some possible applications of these compounds.
In section 4.2, the crystal structures of [Fe(teec)
6](BF
4)
2
at room temperature (RT) and at 90 K are presented, solved using both Guinier
and synchrotron radiation data (long-term) and applying the GS and PT
techniques. A remarkable result was the different unit-cell parameters
determined from the scan and long-term experiments at the same temperature.
The unit-cell contraction along the axes during both the scan and the
long-term measurements was anisotropic along different directions in each
case. Anisotropic changes in lattice parameters that depend on the cooling
rate do not seem to have been reported previously. No significant structural
phase transition has taken place from 300 K → 90 K.
Section 4.3 discusses the results for [Fe(teec)
6](ClO
4)
2
that exhibits a 50% incomplete spin crossover. Crystal structures at 300
and 90 K were solved with GA and PT techniques. In the scan-experiment
diffraction patterns as function of temperature it was observed that two
distinguishable lattices occur, suggested to belong to the HS and LS states,
whose quantities vary with the temperature, a behaviour suggesting a structural
phase transition. This observation supports the theory that domains with
the same spin can be formed during the spin crossover. The lattice-parameter
contractions of [Fe(teec)
6](ClO
4)
2 relative
to the values at 300 K show a remarkable anisotropy along the a-axis.
Section 4.4 presents the crystal structure of [Fe(teei)
6](BF
4)
2,
a compound that exhibits a complete single-step spin crossover. The structure
has been solved at RT and 90 K with GS, GA and PT techniques. Visual inspection
of the scan diffraction patterns and the corresponding patterns of the
long-term measurements did not reveal any significant differences, in
contrast to the cases of [Fe(teec)
6](BF
4)
2
and [Fe(teec)
6](ClO
4)
2. It was concluded
that the spin-crossover behaviour of [Fe(teei)
6](BF
4)
2
seems to be more consistent with the regular solution theory, according
to which both the electronic and structural changes evolve gradually and
smoothly.
Section 4.5 discusses the crystal structure determination of [Fe(teeb)
6](BF
4)
2
that also exhibits a complete single-step spin transition. Because of the
lower crystallinity of the sample, only the main structural characteristics
could be determined and not the complete structure. Small structural changes
are expected in view of the diffraction patterns of the scan measurements
in which no remarkable appearance of new intensity peaks or fading of
existing ones can be observed. It seems that also the spin-crossover behaviour
of [Fe(teeb)
6](BF
4)
2 is more consistent
with the regular solution theory.
Section 4.6 focuses on the crystal structure of [Fe(teef)
6](BF
4)
2
at RT as determined by GA techniques. [Fe(teef)
6](BF
4)
2
exhibits an interesting incomplete and two-stepped spin crossover. After
inspection of the long-term and the scan measurements at every temperature,
it could be concluded that the diffraction patterns of both scan and long-term
measurements exhibit remarkable differences at those temperatures at which
spin changes occur. However, distinguishable (supposedly HS and LS) lattices,
as in case of [Fe(teec)
6](ClO
4)
2, have
not been observed, at least not at the time scale at which the scan measurements
were carried out.
On the basis of the crystal structures of all complexes, the observed
temperature-dependent X-ray data, their spin-crossover behaviour versus
temperature is discussed and several conclusions are drawn in section 4.7.
In spite of the large variety in the spin-crossover behaviour of those
complexes, the structures of the first four complexes appear to be quite
similar, at least in view of the space group (P21/c, Z = 2) and the centrosymmetric
molecules with Fe(II) at a special position. Only the last complex (teef)
crystallized in P (Z = 2), the molecule is not centrosymmetric and
Fe(II) is at a general position. These results point out that space group
and Fe(II) positions are not sufficient to explain the spin-crossover behaviour.
From all the structural characteristics of the [Fe(teeX)
6](A)
2
complexes discussed in this thesis, it could be concluded that prominent
structural changes seem to be related to a peculiar (i.e. two-step or incomplete)
spin-crossover behaviour while smooth and small structural changes hint
most probably at a gradual single-step complete spin transition. Also,
it could be observed that in the cases of the more peculiar spin-crossover
behaviour the lattice contraction along a certain direction (almost perpendicular
to the structural layers for the teec’s and along the b-axis for the teef)
was facilitated after the first spin crossover.
The differences observed between scan and long-term experiments in case
of a peculiar spin crossover point out that the magnetic susceptibility
data should not be interpreted on the basis of long-term crystal structure
data alone. The scan experiments have shown that in the cases of a single-step
spin crossover (teei and teeb) the paths of the structural changes that
are induced by a decrease of temperature and spin crossover are different
from those of a peculiar spin crossover (both the teec’s and the teef).
Finally, in Chapter 5, the experience gained with the various structure
determinations and refinement methodologies applied in this thesis is discussed
and suggestions for future improvements are given. It is pointed out that
sample preparation is very important factor in order to obtain good data
quality. The data resolution, the quality of the initial search model and
the definition of its degrees-of-freedom (DOF) are key points in the direct-space
methods. Theoretically, an exhaustive search procedure like the GS may be
preferable but because of the very long computational times often required
it is not always realistic to apply this method. The sophisticated methods
(GA and PT) have been successfully used in this thesis but it cannot be
stated that one algorithm performed more efficiently than the other. It
is also stressed out that systematic work should be carried out towards
the definition of general rules and criteria that both the application of
geometrical restraints and the texture correction methods during the structure
refinement should obey. Finally, the structure quality, both in the structure
solution and in the refinement stage, should not be assessed only on the
basis of the values of the used criteria-of-fit but also on the chemical
correctness of the structure.
The work carried out in the framework of this thesis has pointed out
that availability of X-ray diffraction data and knowledge of the (crystal)
structure are fundamental (among other information) to evaluate the theories
on spin-transition phenomena that have been proposed. Moreover, temperature-dependent
X-ray powder diffraction data has proven to be a powerful tool and the
means for important observations concerning structural changes possibly
correlated with the spin crossover mechanism. Finally, it is pointed out
that the structure determination from powder diffraction data cannot be
carried out on a routine basis yet.
Overzicht
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