Plasmons and Related Excitations

Schattschneider, P.; Jouffrey, B.

doi:10.1007/978-3-540-48995-5_3

Cited by 21 publications

(13 citation statements)

References 223 publications

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“…It can be shown within classical electrodynamics (Egerton, 1986) that the energy-loss function measures the imaginary part of the inverse dielectric function eðvÞ where the energy loss relates to the frequency as E ¼ hv. When multiple scattering of the probe electron in the specimen can be neglected (or can be removed numerically), the single scattering distribution is (Schattschneider and Jouffrey, 1995):…”

Section: Low Lossesmentioning

confidence: 99%

Practical aspects of running the WIEN2k code for electron spectroscopy

Hébert

2007

Micron

137

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Section: Low Lossesmentioning

confidence: 99%

Practical aspects of running the WIEN2k code for electron spectroscopy

Hébert

2007

Micron

137

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“…The accurate calculation of the correlation energy in the interacting electron gas is a notorious problem with many approximate solutions and unsatisfactory agreement with experiment. For a review, see e. g. [5] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Correlation and the density-matrix approach to inelastic electron holography in solid state plasmas

Schattschneider

Lichte

2005

Phys. Rev. B

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It has been argued that collective excitations in solid state plasmas are a good candidate to measure correlation lengths of electrons. The method of choice seems to be energy filtered electron holography in the transmission electron microscope (TEM). The interference fringes contain information on the partial coherence of those electrons and thus on their correlation length. Previous experiments showed surprisingly high coherence. We calculate the density-density correlation function in the Al plasma excitation from the dynamic form factor and compare it to other estimates. For the Al plasma excitation, we find a small extension of 0.1 − 0.3 nm for the range over which the movement of charges is correlated, depending on the definition of that range. Using the density matrix formalism, the coherence length of plasmon scattered fast electrons in the TEM is calculated and found to agree with experiment. It is shown that the small correlation length does not contradict the coherence length of > 10 nm found for electrons having excited a plasmon in Al. The difference of nearly 2 orders of magnitude can be traced back to the long range Coulomb interaction between probe and target electrons. Two unexpected predictions ensue from the present approach: Inelastic holography experiments should show strongly increased contrast of interfeence fringes in vacuo, i. e. outside the specimen, and contrast inversion of fringes in inelastic holograms of very small particles.

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“…is the primary inelastic scattering process that occurs as fast electrons pass through a thin solid specimen~Raether, 1980!. Plasmon excitations with characteristic frequencies in the low-loss region have been used to determine the dielectric function of some materials~Raether, 1980; Egerton, 1996!, for compositional analysis of metal alloys~Williams and Edington, 1976!, anddetermination of the band gap~Srivastava, 1982;Schattschneider and Jouffrey, 1995!. Plasmons can exist as volume~bulk!, surface, and/or interface excitations~typical frequencies ;10 16 Hz!, making them potentially useful for diagnosing various states of matter, but practical use of plasmons in the analysis of material mechanical behavior is not widespread. It was recently realized~Gilman, 1999; Jao et al, 2001!…”

Section: Introductionmentioning

confidence: 99%

Use of Plasmon Spectroscopy to Evaluate the Mechanical Properties of Materials at the Nanoscale

2002

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Relationships between volume plasmon excitations and mechanical properties of various materials are considered. Based on systematic evaluation of available data, correlations between the volume plasmon energy, Ep, Young's modulus, Ym, bulk modulus, Bm, shear modulus, Gm, and microhardness, Hm, are established. The resulting correlations indicate that plasmon energies potentially can be used to predict and/or determine the local mechanical properties of technologically important materials, such as metal alloys, semiconductors, and ceramics at the nanometer level.

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Plasmons and Related Excitations

Cited by 21 publications

References 223 publications

Practical aspects of running the WIEN2k code for electron spectroscopy

Practical aspects of running the WIEN2k code for electron spectroscopy

Correlation and the density-matrix approach to inelastic electron holography in solid state plasmas

Use of Plasmon Spectroscopy to Evaluate the Mechanical Properties of Materials at the Nanoscale

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