Mössbauer spectroscopy
Mössbauer spectroscopy is a spectroscopic technique based on the Mössbauer effect. This effect, discovered by Rudolf Mössbauer (sometimes written "Moessbauer", German: "Mößbauer") in 1958, consists of the nearly recoil-free emission and absorption of nuclear gamma rays in solids. The consequent nuclear spectroscopy method is exquisitely sensitive to small changes in the chemical environment of certain nuclei.
Typically, three types of
Basic principle
Just as a gun recoils when a bullet is fired,
Nuclei in a solid crystal, however, are not free to recoil because they are bound in place in the crystal lattice. When a nucleus in a solid emits or absorbs a gamma ray, some energy can still be lost as recoil energy, but in this case it always occurs in discrete packets called phonons (quantized vibrations of the crystal lattice). Any whole number of phonons can be emitted, including zero, which is known as a "recoil-free" event. In this case conservation of momentum is satisfied by the momentum of the crystal as a whole, so practically no energy is lost.[1]
Mössbauer found that a significant fraction of emission and absorption events will be recoil-free, which is quantified using the Lamb–Mössbauer factor.[2] This fact is what makes Mössbauer spectroscopy possible, because it means that gamma rays emitted by one nucleus can be resonantly absorbed by a sample containing nuclei of the same isotope, and this absorption can be measured.
The recoil fraction of the Mössbauer absorption is analyzed by nuclear resonance vibrational spectroscopy.
Typical method
In its most common form, Mössbauer absorption spectroscopy, a solid sample is exposed to a beam of gamma radiation, and a detector measures the intensity of the beam transmitted through the sample. The atoms in the source emitting the gamma rays must be of the same isotope as the atoms in the sample absorbing them.
If the emitting and absorbing nuclei were in identical chemical environments, the nuclear transition energies would be exactly equal and resonant absorption would be observed with both materials at rest. The difference in chemical environments, however, causes the nuclear energy levels to shift in a few different ways, as described below. Although these energy shifts are tiny (often less than a micro-
During Mössbauer absorption spectroscopy, the source is accelerated through a range of velocities using a
In the resulting spectra, gamma ray intensity is plotted as a function of the source velocity. At velocities corresponding to the resonant energy levels of the sample, a fraction of the gamma rays are absorbed, resulting in a drop in the measured intensity and a corresponding dip in the spectrum. The number, positions, and intensities of the dips (also called peaks; dips in transmitted intensity are peaks in absorbance) provide information about the chemical environment of the absorbing nuclei and can be used to characterize the sample.
Selecting a suitable source
Suitable gamma-ray sources consist of a radioactive parent that decays to the desired isotope. For example, the source for
Periodic table of Mössbauer-active elements
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
H | He | |||||||||||||||||||||||||||||||||
Li | Be | B | C | N | O | F | Ne | |||||||||||||||||||||||||||
Na | Mg | Al | Si | P | S | Cl | Ar | |||||||||||||||||||||||||||
K | Ca | Sc | Ti | V | Cr | Mn | Fe | Co | Ni | Cu | Zn | Ga | Ge | As | Se | Br | Kr | |||||||||||||||||
Rb | Sr | Y | Zr | Nb | Mo | Tc | Ru | Rh | Pd | Ag | Cd | In | Sn | Sb | Te | I | Xe | |||||||||||||||||
Cs | Ba | La | Hf | Ta | W | Re | Os | Ir | Pt | Au | Hg | Tl | Pb | Bi | Po | At | Rn | |||||||||||||||||
Fr | Ra | Ac | Rf | Db | Sg | Bh | Hs | Mt | Ds | Rg | Cn | Nh | Fl | Mc | Lv | Ts | Og | |||||||||||||||||
Ce | Pr | Nd | Pm | Sm | Eu | Gd | Tb | Dy | Ho | Er | Tm | Yb | Lu | |||||||||||||||||||||
Th | Pa | U | Np | Pu | Am | Cm | Bk | Cf | Es | Fm | Md | No | Lr | |||||||||||||||||||||
|
Analysis of Mössbauer spectra
As described above, Mössbauer spectroscopy has an extremely fine energy resolution and can detect even subtle changes in the nuclear environment of the relevant atoms. Typically, there are three types of
Isomer shift
Isomer shift (δ) (also sometimes called chemical shift, especially in the older literature) is a relative measure describing a shift in the resonance energy of a nucleus (see Fig. 2) due to the transition of electrons within its s orbitals. The whole spectrum is shifted in either a positive or negative direction depending upon the s electron charge density in the nucleus. This change arises due to alterations in the electrostatic response between the non-zero probability s orbital electrons and the non-zero volume nucleus they orbit.
Only electrons in s orbitals have a non-zero probability of being found in the nucleus (see
Isomer shift can be expressed using the formula below, where K is a nuclear constant, the difference between Re2 and Rg2 is the effective nuclear charge radius difference between excited state and the ground state, and the difference between [Ψs2(0)]a and [Ψs2(0)]b is the electron density difference in the nucleus (a = source, b = sample). The Chemical Isomer shift as described here does not change with temperature, however, Mössbauer spectra do have a temperature sensitivity due to a relativistic effect known as the second-order Doppler effect. Generally, the impact of this effect is small, and the
The physical meaning of this equation can be clarified using examples:
- While an increase in s-electron density in 119Sngives a positive shift due to a positive change in overall nuclear charge (owing to Re > Rg).
- Oxidised ferric ions (Fe3+) have lower isomer shifts than ferrous ions (Fe2+) because s-electron density at the nucleus of ferric ions is greater due to a weaker screening effect by d electrons.[8]
The isomer shift is useful for determining oxidation state, valency states, electron shielding and the electron-drawing power of electronegative groups.[5]
Quadrupole splitting
Quadrupole splitting reflects the interaction between the nuclear energy levels and the surrounding electric field gradient (EFG). Nuclei in states with non-spherical charge distributions, i.e. all those with spin quantum number (I) greater than 1/2, may have a nuclear quadrupole moment. In this case an asymmetrical electric field (produced by an asymmetric electronic charge distribution or ligand arrangement) splits the nuclear energy levels.[5]
In the case of an isotope with a I = 3/2 excited state, such as 57Fe or 119Sn, the excited state is split into two substates mI = ±1/2 and mI = ±3/2. The ground to excited state transitions appear as two specific peaks in a spectrum, sometimes referred to as a "doublet". Quadrupole splitting is measured as the separation between these two peaks and reflects the character of the electric field at the nucleus.
The quadrupole splitting can be used for determining oxidation state, spin state, site symmetry, and the arrangement of ligands.[5]
Magnetic hyperfine splitting
Magnetic hyperfine splitting is a result of the interaction between the nucleus and a surrounding magnetic field (similar to the Zeeman effect in atomic spectra). A nucleus with spin I splits into 2I + 1 sub-energy levels in the presence of a magnetic field. For example, the first excited state of the 57Fe nucleus with spin state I = 3/2 will split into 4 non-degenerate sub-states with mI values of +3/2, +1/2, −1/2 and −3/2. The equally-spaced splits are said to be hyperfine, being on the order of 10−7 eV. The selection rule for magnetic dipole transitions means that transitions between the excited state and ground state can only occur where mI changes by 0 or 1 or −1. This gives 6 possible for a 3/2 to 1/2 transition.[5]
The extent of splitting is proportional to the magnetic field strength at the nucleus, which in turn depends on the electron distribution ("chemical environment") of the nucleus. The splitting can be measured, for instance, with a sample foil placed between an oscillating source and a photon detector (see Fig. 5), resulting in an absorption spectrum, as illustrated in Fig. 4. The magnetic field can be determined from the spacing between the peaks if the quantum "g-factors" of the nuclear states are known. In ferromagnetic materials, including many iron compounds, the natural internal magnetic fields are quite strong and their effects dominate the spectra.
Combination of all
The three Mössbauer parameters: isomer shift, quadrupole splitting, and hyperfine splitting can often be used to identify a particular compound by comparison to spectra for standards.[9] In some cases, a compound may have more than one possible position for the Mössbauer active atom. For example, the crystal structure of magnetite (Fe3O4) supports two different sites for the iron atoms. Its spectrum has 12 peaks, a sextet for each potential atomic site, corresponding to two sets of Mössbauer parameters.
Many times all effects are observed: isomer shift, quadrupole splitting, and magnetic splitting. In such cases the isomer shift is given by the average of all lines. The quadrupole splitting when all the four excited substates are equally shifted (two substates are lifted and other two are lowered) is given by the shift of the outer two lines relative to the inner four lines (all inner four lines shift in opposition to the outermost two lines). Usually fitting software is used for accurate values.
In addition, the relative intensities of the various peaks reflect the relative concentrations of compounds in a sample and can be used for semi-quantitative analysis. Also, since ferromagnetic phenomena are size-dependent, in some cases spectra can provide insight into the crystallite size and grain structure of a material.
Mössbauer emission spectroscopy
Mössbauer emission spectroscopy is a specialized variant of Mössbauer spectroscopy where the emitting element is in the probed sample, and the absorbing element is in the reference. Most commonly, the technique is applied to the 57Co/57Fe pair. A typical application is the characterization of the cobalt sites in amorphous Co-Mo catalysts used in hydrodesulfurization. In such a case, the sample is doped with 57Co.[10]
Applications
Among the drawbacks of the technique are the limited number of gamma ray sources and the requirement that samples be solid in order to eliminate the recoil of the nucleus. Mössbauer spectroscopy is unique in its sensitivity to subtle changes in the chemical environment of the nucleus including oxidation state changes, the effect of different ligands on a particular atom, and the magnetic environment of the sample.
As an analytical tool Mössbauer spectroscopy has been especially useful in the field of geology for identifying the composition of iron-containing specimens including meteorites and
In another application, Mössbauer spectroscopy is used to characterize phase transformations in iron catalysts, e.g., those used for
Mössbauer spectroscopy has also been used to determine the relative concentration change in the oxidation state of antimony (
This technique has also been used to observe the second-order
Bioinorganic chemistry
Mössbauer spectroscopy has been widely applied to bioinorganic chemistry, especially for the study of iron-containing proteins and enzymes. Often the technique is used to determine the oxidation state of iron. Examples of prominent iron-containing biomolecules are
Vibrational spectra of 57Fe-enriched biomolecules can be acquired using nuclear resonance vibrational spectroscopy (NRVS), in which the sample is scanned through a range of synchrotron-generated X-rays, centered at the Mössbauer absorbance frequency. Stokes and anti-Stokes peaks in the spectrum correspond to low frequency vibrations, many below 600 cm−1 with some below 100 cm−1.
Mössbauer spectrometers
A Mössbauer spectrometer is a device that performs Mössbauer spectroscopy, or a device that uses the Mössbauer effect to determine the chemical environment of Mössbauer nuclei present in the sample. It is formed by three main parts; a source that moves back and forth to generate a
A miniature Mössbauer Spectrometer, named (MB) MIMOS II, was used by the two rovers in NASA's Mars Exploration Rover missions.[19]
57Fe Mössbauer spectroscopy
The chemical isomer shift and quadrupole splitting are generally evaluated with respect to a reference material. For example, in iron compounds, the Mössbauer parameters were evaluated using iron foil (of a thickness less than 40 micrometers). The centroid of the six-line spectrum from metallic iron foil is −0.1 mm/s (for a Co/Rh source). All shifts in other iron compounds are computed relative to this −0.10 mm/s (at room temperature), i.e., in this case isomer shifts are relative to the Co/Rh source. In other words, the centre point of the Mössbauer spectrum is zero. The shift values may also be reported relative to 0.0 mm/s; here, shifts are relative to the iron foil.
To calculate the outer line distance from the six-line iron spectrum:
where c is the speed of light, Bint is the internal magnetic field of the metallic iron (33 T), μN is the nuclear magneton (3.1524512605×10−8 eV/T), Eγ is the excitation energy (14.412497(3) keV[20]), gn is the ground state nuclear splitting factor (0.090604/(I), where Isospin I = 1⁄2) and ge
n is the excited state splitting factor of 57Fe (-0.15532/(I), where I = 3⁄2).
By substituting the above values one would get V = 10.6258 mm/s.
Other values are sometimes used to reflect different qualities of iron foils. In all cases any change in V only affects the isomer shift and not the quadrupole splitting. As the IBAME, the authority for Mössbauer spectroscopy, does not specify a particular value, anything between 10.60 mm/s to 10.67 mm/s can be used. For this reason it is highly recommended to provide the isomer shift values relative to the source used, not to the iron foil, mentioning the details of the source (centre of gravity of the folded spectrum).
See also
- Alpha-particle spectroscopy
- Gamma probe
- Gamma ray spectrometer
- Isomeric shift
- Liquid scintillation counting
- Mass spectrometry
- Mössbauer effect
- Nuclear isomer
- Pandemonium effect
- Perturbed angular correlation
- Scintillation counter
- Total absorption spectroscopy
- X-ray spectroscopy
References
- ^ International Board on the Applications of the Mössbauer Effect (IBAME) and Mössbauer Effect Data Center (MEDC), Mössbauer Effect website Archived 2021-12-02 at the Wayback Machine Accessed June 3, 2010.
- ^ a b Gütlich, J. M.; The Principle of the Mössbauer Effect and Basic Concepts of Mössbauer Spectrometry Archived 2011-11-29 at the Wayback Machine.
- ^ Mössbauer Spectroscopy Group, Royal Society of Chemistry (RSC) website, Introduction to Mössbauer Spectroscopy Part 1 Archived 2017-10-12 at the Wayback Machine Accessed June 3, 2010
- Wikidata Q56601097.
- ^ a b c d e Mössbauer Spectroscopy Group, Royal Society of Chemistry (RSC) website, Introduction to Mössbauer Spectroscopy Part 2 Archived 2011-06-08 at the Wayback Machine Accessed June 3, 2010.
- ^ P. Gütlich, J. M. Greneche, F. J. Berry; Mössbauer Spectroscopy: A Powerful Tool in Scientific Research Archived 2011-11-29 at the Wayback Machine Accessed June 3, 2010.
- ^ International Board on the Applications of the Mössbauer Effect (IBAME) and Mössbauer Effect Data Center (MEDC), Mössbauer Effect website Archived 2021-09-27 at the Wayback Machine Accessed December 20, 2017
- ^ Walker, L.; Wertheim, G.; Jaccarino, V. (1961). "Interpretation of the Fe57 Isomer Shift". .
- ^ Mössbauer Effect Data Center Archived 2014-05-20 at the Wayback Machine.
- S2CID 95685404.
- Wikidata Q29042404.
- ^ Schröder, Christian (2015). "Mössbauer spectroscopy in astrobiology". Spectroscopy Europe. 27 (2): 10. Archived from the original on 2018-01-08. Retrieved 2018-01-08.
- ^
Sarkar, A.; et al. (2007). "Fischer–Tropsch Synthesis: Characterization Rb Promoted Iron Catalyst". S2CID 94596943.
- Wikidata Q30054185.
- ^
Chen, Y.-L.; Yang, D.-P. (2007). "Recoilless Fraction and Second-Order Doppler Effect". Mössbauer Effect in Lattice Dynamics. ISBN 978-3-527-61142-3.
- ISBN 9780470602539.
- ISBN 978-0-470-03217-6.
- Wikidata Q35660894.
- ^
Klingelhöfer, G.; et al. (2002). "The miniaturized Mössbauer spectrometer MIMOS II for extraterrestrial and outdoor terrestrial applications: A status report". S2CID 94640811.
- ^ Mössbauer Effect Data Center Archived 2015-02-27 at the Wayback Machine 20.08.2013
External links
- Mössbauer Effect Data Center page, including periodic table of Mössbauer isotopes
- Introduction to Mössbauer Spectroscopy — RSC site
- Mössbauer Spectroscopy: A Powerful Tool in Scientific Research
- "Mossbauer Spectroscopy – A Rewarding Probe of Morphological Structure of Semiconducting Glasses ", P. Boolchand in Physical Properties of Amorphous Materials (Institute for Amorphous Studies Series), Springer US, Eds.: David Adler, Brian B. Schwartz, Martin C. Steele
- The program MossA provides a straightforward approach to the fitting of 57Fe conventional and synchrotron energy-domain Mössbauer spectra
- MossA is written in the MATLAB programming language. The source code can be obtained from its github repository
- Mössbauer Spectroscopy – Principles and Applications – Prof. Dr. Philipp Gütlich Emeritus Professor Mainz University – Institut für Anorganische Chemie und Analytische Chemie Johannes Gutenberg-Universität Mainz