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2016 | OriginalPaper | Buchkapitel

14. Calculating EELS

verfasst von : Vicki Keast

Erschienen in: Transmission Electron Microscopy

Verlag: Springer International Publishing

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Electron energy-loss spectroscopy (EELS) is a unique tool to measure electronic structure at the sub-nanometer or even atomic scale. From such measurements we can develop an understanding of materials’ properties and correlate them with the structure and composition. To achieve this we have to interpret the fine details in the spectrum in terms of the electronic structure and bonding. Our ability to perform this interpretation can be significantly enhanced by using a calculation, from first principles, of the electronic structure and, from there, a simulation of the expected EELS data. (Following W&C, we’ll always say EELS even when EEL might be grammatically correct – it is just too awkward) This chapter aims to introduce the physical concepts behind how these calculations are done. We’ll discuss the fine structure in the ionization edges (the energy-loss near-edge structure (ELNES)) and, to a lesser extent, valence EELS. …

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Literatur
Zurück zum Zitat Egerton RF (1996) Electron-Energy Loss Spectroscopy in the Electron Microscope, 2nd edn. Plenum Press, New YorkCrossRef Egerton RF (1996) Electron-Energy Loss Spectroscopy in the Electron Microscope, 2nd edn. Plenum Press, New YorkCrossRef
Zurück zum Zitat Fox M (2001) Optical Properties of Solids. Oxford University Press, Oxford Fox M (2001) Optical Properties of Solids. Oxford University Press, Oxford
Zurück zum Zitat Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press, Cambridge (This author coined the phrase „the holy grail“ for the exchange correlation potential)CrossRef Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press, Cambridge (This author coined the phrase „the holy grail“ for the exchange correlation potential)CrossRef
Zurück zum Zitat Kittel C (2005) Introduction to Solid State Physics, 8th edn. John Wiley and Sons, Hoboken Kittel C (2005) Introduction to Solid State Physics, 8th edn. John Wiley and Sons, Hoboken
Zurück zum Zitat Liboff R (2003) IntroductoryQuantum Mechanics, 4th edn. Addison-Wesley, Boston (Or any other introductory quantum text) Liboff R (2003) IntroductoryQuantum Mechanics, 4th edn. Addison-Wesley, Boston (Or any other introductory quantum text)
Zurück zum Zitat Martin RM (2004) Electronic Structure: Basic Theory and Methods. Cambridge University Press, Cambridge Martin RM (2004) Electronic Structure: Basic Theory and Methods. Cambridge University Press, Cambridge
Zurück zum Zitat Singh DJ, Nordstrom L (2005) Planewaves, Psuedopotentials and the LAPW method, 2nd edn. Springer, New York (Discussion of the available pseudopotentials is beyond the scope of this chapter, but this is very good reference to consult. This book also provides a good introduction to these LAPW methods) Singh DJ, Nordstrom L (2005) Planewaves, Psuedopotentials and the LAPW method, 2nd edn. Springer, New York (Discussion of the available pseudopotentials is beyond the scope of this chapter, but this is very good reference to consult. This book also provides a good introduction to these LAPW methods)
Zurück zum Zitat Wooten F (1972) Optical Properties of Solids. Academic Press, London and New York Wooten F (1972) Optical Properties of Solids. Academic Press, London and New York
Zurück zum Zitat Ankudinov AL, Ravel B, Rehr JJ, Conradson SD (1998) Real-space multiple scattering calculation and interpretation of x-ray absorption near-edge structure. Phys Rev B58(12):7565–7576 (For more detail on FEFF)CrossRef Ankudinov AL, Ravel B, Rehr JJ, Conradson SD (1998) Real-space multiple scattering calculation and interpretation of x-ray absorption near-edge structure. Phys Rev B58(12):7565–7576 (For more detail on FEFF)CrossRef
Zurück zum Zitat Ching WY, Rulis P (2009) X-ray absorption near edge structure/electron energy loss near edge structure calculation using the supercell orthoganized linear combination of atomic orbitals method. J Phys: Condens Matter 21:104202 (A useful review of OLCAO) Ching WY, Rulis P (2009) X-ray absorption near edge structure/electron energy loss near edge structure calculation using the supercell orthoganized linear combination of atomic orbitals method. J Phys: Condens Matter 21:104202 (A useful review of OLCAO)
Zurück zum Zitat Clark SJ, Segall MD, Pickard CJ, Hasnip PJ, Probert MJ, Refson K, Payne MC (2005) First principles methods using CASTEP. Z Kristallogr 220:567–570 (A planewave pseudopotential code where ELNES calculations are already built in) Clark SJ, Segall MD, Pickard CJ, Hasnip PJ, Probert MJ, Refson K, Payne MC (2005) First principles methods using CASTEP. Z Kristallogr 220:567–570 (A planewave pseudopotential code where ELNES calculations are already built in)
Zurück zum Zitat Egerton RF, Whelan MJ (1974) Electron energy loss spectra of diamond, graphite and amorphous carbon. J Electron Spectrosc 3:232–236CrossRef Egerton RF, Whelan MJ (1974) Electron energy loss spectra of diamond, graphite and amorphous carbon. J Electron Spectrosc 3:232–236CrossRef
Zurück zum Zitat Gao SP, Pickard CJ, Perlov A, Milman V (2009) Core-level spectroscopy calculation and the plane wave psuedopotential method. J Phys 21:104203 (For more detail on CASTEP and the projector augmented wave (PAW) approach (Section 14.3.1)) Gao SP, Pickard CJ, Perlov A, Milman V (2009) Core-level spectroscopy calculation and the plane wave psuedopotential method. J Phys 21:104203 (For more detail on CASTEP and the projector augmented wave (PAW) approach (Section 14.3.1))
Zurück zum Zitat Garcia de Abajo FJ (2010) Optical excitations in electron microscopy. Rev Modern Phys 82:209–275 (Some forefront research on surface plasmons (Section 14.4))CrossRef Garcia de Abajo FJ (2010) Optical excitations in electron microscopy. Rev Modern Phys 82:209–275 (Some forefront research on surface plasmons (Section 14.4))CrossRef
Zurück zum Zitat de Groot F (2001) High-resolution X-ray emission and X-ray absorption spectroscopy. Chem Rev 101:1779–1808CrossRef de Groot F (2001) High-resolution X-ray emission and X-ray absorption spectroscopy. Chem Rev 101:1779–1808CrossRef
Zurück zum Zitat de Groot F (2005) Multiplet effects in X-ray spectroscopy. Coord Chem Rev 249:31–63CrossRef de Groot F (2005) Multiplet effects in X-ray spectroscopy. Coord Chem Rev 249:31–63CrossRef
Zurück zum Zitat Hetaba W, Blaha P, Tran F, Schattschneider P (2012) Calculating energy loss spectra of NiO: Advantages of the modified Becke-Johnson potential. Phys Rev B85:205108 (For more on the modified Becke-Johnson potential)CrossRef Hetaba W, Blaha P, Tran F, Schattschneider P (2012) Calculating energy loss spectra of NiO: Advantages of the modified Becke-Johnson potential. Phys Rev B85:205108 (For more on the modified Becke-Johnson potential)CrossRef
Zurück zum Zitat Hébert C (2007) Practical aspects of running the WIEN2k code for electron spectroscopy. Micron 38:17–28 (As the title says for WIEN2k)CrossRef Hébert C (2007) Practical aspects of running the WIEN2k code for electron spectroscopy. Micron 38:17–28 (As the title says for WIEN2k)CrossRef
Zurück zum Zitat Jorissen K, Rehr JJ, Verbeeck J (2010) Multiple scattering calculations of relativistic energy loss spectra. Phys Rev B81:155108 (Discussion of the state-of-the-art in FEFF calculations (Section 14.3.4).)CrossRef Jorissen K, Rehr JJ, Verbeeck J (2010) Multiple scattering calculations of relativistic energy loss spectra. Phys Rev B81:155108 (Discussion of the state-of-the-art in FEFF calculations (Section 14.3.4).)CrossRef
Zurück zum Zitat Keast VJ (2013) An introduction to the calculation of valence EELS: Quantum mechanical methods for bulk solids. Micron 44:93–100CrossRef Keast VJ (2013) An introduction to the calculation of valence EELS: Quantum mechanical methods for bulk solids. Micron 44:93–100CrossRef
Zurück zum Zitat Kümmel S, Kronik L (2008) Orbital-dependent density functionals: Theory and applications. Reviews of Modern Physics 80:3–60CrossRef Kümmel S, Kronik L (2008) Orbital-dependent density functionals: Theory and applications. Reviews of Modern Physics 80:3–60CrossRef
Zurück zum Zitat Mizoguchi T, Tanaka I (2000) Core-hole effects on theoretical electron-energy-loss near-edge structure and near-edge x-ray absorption fine structure of MgO. Phys Rev B61(3):2180–2187 (One example of the application of MO calculations in ELNES simulations)CrossRef Mizoguchi T, Tanaka I (2000) Core-hole effects on theoretical electron-energy-loss near-edge structure and near-edge x-ray absorption fine structure of MgO. Phys Rev B61(3):2180–2187 (One example of the application of MO calculations in ELNES simulations)CrossRef
Zurück zum Zitat Moreno MS, Jorissen K, Rehr JJ (2007) Practical aspects of electron energy-loss spectroscopy (EELS) calculations with FEFF8. Micron 38:1–11 (As the title says for FEFF)CrossRef Moreno MS, Jorissen K, Rehr JJ (2007) Practical aspects of electron energy-loss spectroscopy (EELS) calculations with FEFF8. Micron 38:1–11 (As the title says for FEFF)CrossRef
Zurück zum Zitat Nelhiebel M, Louf PH, Schattschneider P, Blaha P, Schwarz K, Jouffrey B (1999) Theory of orientation sensitive near-edge fine-structure core-level spectroscopy. Phys Rev B59(20):12807–12814 (Rigorous treatment of orientation and relativistic effects in ELNES)CrossRef Nelhiebel M, Louf PH, Schattschneider P, Blaha P, Schwarz K, Jouffrey B (1999) Theory of orientation sensitive near-edge fine-structure core-level spectroscopy. Phys Rev B59(20):12807–12814 (Rigorous treatment of orientation and relativistic effects in ELNES)CrossRef
Zurück zum Zitat Onida G, Reining L, Rubio A (2002) Electronic excitations: density-functional versus many-body Green’s-function approaches. Rev Modern Phys 74:601–659CrossRef Onida G, Reining L, Rubio A (2002) Electronic excitations: density-functional versus many-body Green’s-function approaches. Rev Modern Phys 74:601–659CrossRef
Zurück zum Zitat Paxton AT (2005) Theory of the near-edge structure in electron energy loss spectroscopy. J Electron Spectros 143:53–66 (Muffin-tin orbitals but full-potential description)CrossRef Paxton AT (2005) Theory of the near-edge structure in electron energy loss spectroscopy. J Electron Spectros 143:53–66 (Muffin-tin orbitals but full-potential description)CrossRef
Zurück zum Zitat Paxton AT, Craven AJ, Gregg JM, McComb DW (2003) J Microsc 210:35–44 (A more rigorous explanation than the ‘half in and half-out’ explanation of the Slater transition in Section 14.3.2)CrossRef Paxton AT, Craven AJ, Gregg JM, McComb DW (2003) J Microsc 210:35–44 (A more rigorous explanation than the ‘half in and half-out’ explanation of the Slater transition in Section 14.3.2)CrossRef
Zurück zum Zitat Rehr JJ, Albers RC (2000) Theoretical approaches to x-ray absorption fine structure. Rev Modern Phys 72(3):621–654CrossRef Rehr JJ, Albers RC (2000) Theoretical approaches to x-ray absorption fine structure. Rev Modern Phys 72(3):621–654CrossRef
Zurück zum Zitat Rehr JJ, Kas JJ (2009) Prange, MP, Sorini AP. Takimoto Y, Vila F An initio theory and calculations of X-ray spectra. CR Physique 10:548–549. Rehr JJ, Kas JJ (2009) Prange, MP, Sorini AP. Takimoto Y, Vila F An initio theory and calculations of X-ray spectra. CR Physique 10:548–549.
Zurück zum Zitat Rez P, MacLaren JM, Saldin DK (1998) Application of the layer Koringa-Kohn-Rostoker method to the calculation of near-edge structure in x-ray absorptiona and electron-energy-loss spectroscopy. Phys Rev B57(4):2621–2627 (As the title says: applying KKR methods to calculating ELNES/XANES (using muffin-tin potentials))CrossRef Rez P, MacLaren JM, Saldin DK (1998) Application of the layer Koringa-Kohn-Rostoker method to the calculation of near-edge structure in x-ray absorptiona and electron-energy-loss spectroscopy. Phys Rev B57(4):2621–2627 (As the title says: applying KKR methods to calculating ELNES/XANES (using muffin-tin potentials))CrossRef
Zurück zum Zitat Schattschneider P, Hébert C, Franco H, Jouffrey B (2005) Anisotropic relativistic cross sections for inelastic electron scattering, and the magic angle. Phys Rev B72(4):045142 (As the title says: the relativistic correction)CrossRef Schattschneider P, Hébert C, Franco H, Jouffrey B (2005) Anisotropic relativistic cross sections for inelastic electron scattering, and the magic angle. Phys Rev B72(4):045142 (As the title says: the relativistic correction)CrossRef
Zurück zum Zitat Schwarz K, Blaha P, Madsen GKH (2002) Electronic structure calculations of solids using the WIEN2k package for material sciences. Computer Phys Commun 147:71–76 (For more details on WIEN2k)CrossRef Schwarz K, Blaha P, Madsen GKH (2002) Electronic structure calculations of solids using the WIEN2k package for material sciences. Computer Phys Commun 147:71–76 (For more details on WIEN2k)CrossRef
Zurück zum Zitat Vast N, Reining L, Olevano V, Schattschneider P, Jouffrey B (2002) Local field effects in the electron energy loss spectra of rutile TiO2. Phys Rev Lett 88(3):037601 (Significant effects of the LFE (Section 14.4))CrossRef Vast N, Reining L, Olevano V, Schattschneider P, Jouffrey B (2002) Local field effects in the electron energy loss spectra of rutile TiO2. Phys Rev Lett 88(3):037601 (Significant effects of the LFE (Section 14.4))CrossRef
Zurück zum Zitat Wang ZL (1996) Valence electron excitations and plasmon oscillations in thin films, surfaces, interfaces and small particles. Micron 27:265–299CrossRef Wang ZL (1996) Valence electron excitations and plasmon oscillations in thin films, surfaces, interfaces and small particles. Micron 27:265–299CrossRef
Zurück zum Zitat Ankudinov AL, Ravel B, Rehr JJ, Conradson SD (1998) Real-space multiple scattering calculation and interpretation of x-ray absorption near-edge structure. Phys Rev B 58(12):7565–7576CrossRef Ankudinov AL, Ravel B, Rehr JJ, Conradson SD (1998) Real-space multiple scattering calculation and interpretation of x-ray absorption near-edge structure. Phys Rev B 58(12):7565–7576CrossRef
Zurück zum Zitat Ching WY, Rulis P (2009) X-ray absorption near edge structure/electron energy loss near edge structure calculation using the supercell orthoganized linear combination of atomic orbitals method. J Phys: Condens Matter 21:104202 Ching WY, Rulis P (2009) X-ray absorption near edge structure/electron energy loss near edge structure calculation using the supercell orthoganized linear combination of atomic orbitals method. J Phys: Condens Matter 21:104202
Zurück zum Zitat Clark SJ, Segall MD, Pickard CJ, Hasnip PJ, Probert MJ, Refson K, Payne MC (2005) First principles methods using CASTEP. Z Kristallogr 220:567–570 Clark SJ, Segall MD, Pickard CJ, Hasnip PJ, Probert MJ, Refson K, Payne MC (2005) First principles methods using CASTEP. Z Kristallogr 220:567–570
Zurück zum Zitat Egerton RF, Whelan MJ (1974) Electron energy loss spectra of diamond, graphite and amorphous carbon. J Electron Spectrosc 3:232–236CrossRef Egerton RF, Whelan MJ (1974) Electron energy loss spectra of diamond, graphite and amorphous carbon. J Electron Spectrosc 3:232–236CrossRef
Zurück zum Zitat Gao SP, Pickard CJ, Perlov A, Milman V (2009) Core-level spectroscopy calculation and the plane wave psuedopotential method. J Phys: Condens Matter 21:104203 Gao SP, Pickard CJ, Perlov A, Milman V (2009) Core-level spectroscopy calculation and the plane wave psuedopotential method. J Phys: Condens Matter 21:104203
Zurück zum Zitat de Groot F (2001) High-resolution X-ray emission and X-ray absorption spectroscopy. Chem Rev 101:1779–1808CrossRef de Groot F (2001) High-resolution X-ray emission and X-ray absorption spectroscopy. Chem Rev 101:1779–1808CrossRef
Zurück zum Zitat de Groot F (2005) Multiplet effects in X-ray spectroscopy. Coordination Chem Rev 249:31–63CrossRef de Groot F (2005) Multiplet effects in X-ray spectroscopy. Coordination Chem Rev 249:31–63CrossRef
Zurück zum Zitat Hébert C (2007) Practical aspects of running the WIEN2k code for electron spectroscopy. Micron 38:17–28CrossRef Hébert C (2007) Practical aspects of running the WIEN2k code for electron spectroscopy. Micron 38:17–28CrossRef
Zurück zum Zitat Jorissen K, Rehr JJ, Verbeeck J (2010) Multiple scattering calculations of relativistic energy loss spectra. Phys Rev B 81:155108CrossRef Jorissen K, Rehr JJ, Verbeeck J (2010) Multiple scattering calculations of relativistic energy loss spectra. Phys Rev B 81:155108CrossRef
Zurück zum Zitat Kümmel S, Kronik L (2008) Orbital-dependent density functionals: Theory and applications. Rev Modern Phys 80:3–60CrossRef Kümmel S, Kronik L (2008) Orbital-dependent density functionals: Theory and applications. Rev Modern Phys 80:3–60CrossRef
Zurück zum Zitat Mizoguchi T, Tanaka I (2000) Core-hole effects on theoretical electron-energy-loss near-edge structure and near-edge x-ray absorption fine structure of MgO. Phys Rev B 61(3):2180–2187CrossRef Mizoguchi T, Tanaka I (2000) Core-hole effects on theoretical electron-energy-loss near-edge structure and near-edge x-ray absorption fine structure of MgO. Phys Rev B 61(3):2180–2187CrossRef
Zurück zum Zitat Moreno MS, Jorissen K, Rehr JJ (2007) Practical aspects of electron energy-loss spectroscopy (EELS) calculations with FEFF8. Micron 38:1–11CrossRef Moreno MS, Jorissen K, Rehr JJ (2007) Practical aspects of electron energy-loss spectroscopy (EELS) calculations with FEFF8. Micron 38:1–11CrossRef
Zurück zum Zitat Nelhiebel M, Schattschneider P, Blaha P, Schwarz K, Jouffrey B (1999) Theory of orientation sensitive near-edge fine-structure core-level spectroscopy. Phys Rev B 59(20):12807–12814CrossRef Nelhiebel M, Schattschneider P, Blaha P, Schwarz K, Jouffrey B (1999) Theory of orientation sensitive near-edge fine-structure core-level spectroscopy. Phys Rev B 59(20):12807–12814CrossRef
Zurück zum Zitat Paxton AT (2005) Theory of the near-edge structure in electron energy loss spectroscopy. J. Electron Spectrosc Related Phenom 143:53–66 Paxton AT (2005) Theory of the near-edge structure in electron energy loss spectroscopy. J. Electron Spectrosc Related Phenom 143:53–66
Zurück zum Zitat Rehr JJ, Albers RC (2000) Theoretical approaches to x-ray absorption fine structure. Rev Modern Phys 72(3):621–654CrossRef Rehr JJ, Albers RC (2000) Theoretical approaches to x-ray absorption fine structure. Rev Modern Phys 72(3):621–654CrossRef
Zurück zum Zitat Rehr JJ, Kas JJ, Prange MP, Sorini AP, Takimoto Y, Vila F (2009) Ab initio theory and calculations of X-ray spectra. CR Physique 10:548–549CrossRef Rehr JJ, Kas JJ, Prange MP, Sorini AP, Takimoto Y, Vila F (2009) Ab initio theory and calculations of X-ray spectra. CR Physique 10:548–549CrossRef
Zurück zum Zitat Rez P, MacLaren JM, Saldin DK (1998) Application of the layer Koringa-Kohn-Rostoker method to the calculation of near-edge structure in x-ray absorptiona and electron-energy-loss spectroscopy. Phys Rev B57(4):2621–2627CrossRef Rez P, MacLaren JM, Saldin DK (1998) Application of the layer Koringa-Kohn-Rostoker method to the calculation of near-edge structure in x-ray absorptiona and electron-energy-loss spectroscopy. Phys Rev B57(4):2621–2627CrossRef
Zurück zum Zitat Schattschneider P, Hebert C, Franco H, Jouffrey B (2005) Anisotropic relativistic cross sections for inelastic electron scattering, and the magic angle. Phys Rev B72:045142CrossRef Schattschneider P, Hebert C, Franco H, Jouffrey B (2005) Anisotropic relativistic cross sections for inelastic electron scattering, and the magic angle. Phys Rev B72:045142CrossRef
Zurück zum Zitat Schwarz K, Blaha P, Madsen GKH (2002) Electronic structure calculations of solids using the WIEN2k package for material sciences. Computer Phys Comm 147:71–76CrossRef Schwarz K, Blaha P, Madsen GKH (2002) Electronic structure calculations of solids using the WIEN2k package for material sciences. Computer Phys Comm 147:71–76CrossRef
Zurück zum Zitat Singh DJ, Nordstrom L (2005) Planewaves, Pseudopotentials, and the LAPW Method, 2nd edn. Springer, New York Singh DJ, Nordstrom L (2005) Planewaves, Pseudopotentials, and the LAPW Method, 2nd edn. Springer, New York
Zurück zum Zitat Williams DB, Carter CB (2009) Transmission Electron Microscopy: A Textbook for Materials Science, 2nd edn. Springer, New YorkCrossRef Williams DB, Carter CB (2009) Transmission Electron Microscopy: A Textbook for Materials Science, 2nd edn. Springer, New YorkCrossRef
Metadaten
Titel
Calculating EELS
verfasst von
Vicki Keast
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-26651-0_14

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