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Influence of the Crystal Surface on the Austenitic and Martensitic Phase Transition in Pure Iron
(2018)
Using classical molecular dynamics simulations, we studied the influence that free
surfaces exert on the austenitic and martensitic phase transition in iron. For several single-indexed
surfaces—such as (100)bcc and (110)bcc as well as (100)fcc and (110)fcc surfaces—appropriate
pathways exist that allow for the transformation of the surface structure. These are the Bain,
Mao, Pitsch, and Kurdjumov–Sachs pathways, respectively. Tilted surfaces follow the pathway
of the neighboring single-indexed plane. The austenitic transformation temperature follows the
dependence of the specific surface energy of the native bcc phase; here, the new phase nucleates at
the surface. In contrast, the martensitic transformation temperature steadily decreases when tilting
the surface from the (100)fcc to the (110)fcc orientation. This dependence is caused by the strong
out-of-plane deformation that (110)fcc facets experience under the transformation; here, the new
phase also nucleates in the bulk rather than at the surface.
ABSTRACT
"Spin and orbital contribution to the magnetic moment of transition metal clusters and complexes"
The spin and orbital contributions to the magnetic moments of isolated iron \(Fe_n^+\) \((7 ≤ n ≤ 18)\), cobalt \(Co_n^+\) \((8 ≤ n ≤ 22)\) and nickel \(Ni_n^+\) \((7 ≤ n ≤ 17)\) clusters were investigated. An experimental access to both contributions is possible by the application of x-ray magnetic circular dichroism (XMCD) spectroscopy. XMCD spectroscopy is based on x-ray absorption spectroscopy (XAS). It exploits the fact that for a magnetic sample the resonant absorption cross sections for negative and positive circular polarized x-rays differ for the transition from a spin orbit split ground state to the valence level. The resulting dichroic effects contain the information about the magnetism of the investigated sample. It can be extracted from the experimental spectrum via application of the so called sum rules. However, only the projections of the magnetic moments onto the quantization axis are experimentally accessible which corresponds to the magnetization of the sample.
We developed a method to apply XMCD spectroscopy to isolated clusters in the gas phase. A modified Fourier Transform Ion Cyclotron Resonance (FT-ICR) mass spectrometer was used to record the XA spectra in Total Ion Yield (TIY) mode, i.e. by recording the fragmentation intensity of the clusters in dependence of x-ray energy. The clusters can be considered to be a superparamagnetic ensemble. Thus, the magnetization follows a Langevin curve. The intrinsic magnetic moments can be calculated by Langevin correction of the experimental magnetic moments because the cluster temperature and the magnetic field are known.
The spin and the orbital magnetic moments are enhanced compared to the respective bulk values for all three investigated elements. The enhancement of the orbital contribution is more pronounced, by about a factor 3 - 4 compared to the bulk, than for the spin magnetic moment. However, if compared to the atomic value, both contributions are quenched. The orbital magnetic moment only amounts to about 10 - 15 % of the atomic value while the spin retains about 80 % of its atomic value. If the magnetic moments found for the clusters are put into perspective with respect to the atomic and bulk values by means of scaling laws, it becomes evident that both contributions follow different interpolations between the atomic and bulk value. The spin follows the well-known trend
\(n^{-1/3} = 1/(cluster radius)\) (n = number of atoms per cluster, assumption of a spherical particle). This trend relates to the ratio of surface to inner atoms in spherical particle. Hence, our interpretation is that the spin magnetic moment seems to follow the surface area of the cluster. On the other hand, the orbital magnetic moment follows \(1/n = 1/(cluster volume)\).
First XA spectra recorded with circularly polarized x-rays of a Single Molecule Magnet (SMM) \([Fe_4Ln_2(N_3)_4(Htea)_4(piv_6)]\) (Ln = Gd, Tb; \(H_3tea\) = triethanolamine, Hpiv = pivalic acid) are presented.
The gas phase infrared and fragmentation spectra of a systematic group of trimetallic oxo-centered
transition metal complexes are shown and discussed, with formate and acetate bridging ligands and
pyridine and water as axial ligands.
The stability of the complexes, as predicted by appropriate ab initio simulations, is demonstrated to
agree with collision induced dissociation (CID) measurements.
A broad range of DFT calculations are shown. They are used to simulate the geometry, the bonding
situation, relative stability and flexibility of the discussed complexes, and to specify the observed
trends. These simulations correctly predict the trends in the band splitting of the symmetric and
asymmetric carboxylate stretch modes, but fail to account for anharmonic effects observed specifically
in the mid IR range.
The infrared spectra of the different ligands are introduced in a brief literature review. Their changes
in different environments or different bonding situations are discussed and visualized, especially the
interplay between fundamental-, overtone-, and combination bands, as well as Fermi resonances
between them.
A new variation on the infrared multi photon dissociation (IRMPD) spectroscopy method is proposed
and evaluated. In addition to the commonly considered total fragment yield, the cumulative fragment
yield can be used to plot the wavelength dependent relative abundance of different fragmentation
products. This is shown to include valuable additional information on the excited chromophors, and
their coupling to specific fragmentation channels.
High quality homo- and heterometallic IRMPD spectra of oxo centered carboxylate complexes of
chromium and iron show the impacts of the influencing factors: the metal centers, the bridging ligands,
their carboxylate stretch modes and CH bend modes, and the terminal ligands.
In all four formate spectra, anharmonic effects are necessary to explain the observed spectra:
combination bands of both carboxylate stretch modes and a Fermi resonance of the fundamental of
the CH stretch mode, and a combination band of the asymmetric carboxylate stretch mode with the
CH bend mode of the formate bridging ligand.
For the water adduct species, partial hydrolysis is proposed to account for the changes in the observed
carboxylic stretch modes.
Appropriate experiments are suggested to verify the mode assignments that are not directly explained
by the ab initio calculations, the available experimental results or other means like deuteration
experiments.