Positron Spectroscopy of Solids ( International School of Physics “Enrico Fermi” )

Publication series :International School of Physics “Enrico Fermi”

Author: Dupasquier   A.  

Publisher: Ios Press‎

Publication year: 1995

E-ISBN: 9781614992110

P-ISBN(Hardback):  9789051992038

Subject: O4 Physics

Keyword: 物理学

Language: ENG

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Description

The lifetime of a positron inside a solid is normally less than a fraction of nanosecond. This is a very short time on a human scale, but is long enough to enable the positron to visit an extended region of the material, and to sense the atomic and electronic structure of the environment. Thus, we can inject a positron in a sample to draw from it some signal giving us information on the microscopic properties of the material. This idea has been successfully developed in a number of positron-based techniques of physical analysis, with resolution in energy, momentum, or position. The complex of these techniques is what we call now positron spectroscopy of solids. The field of application of the positron spectroscopy extends from advanced problems of solid-state physics to industrial applications in the area of characterization of high-tech materials. This volume focuses the attention on the physics that can be learned from positron-based methods, but also frames those methods in a wider context including other experimental approaches. It can be considered as a textbook on positron spectroscopy of solids, the sort of book that the newcomer takes for his approach to this field, but also as a useful research tool for the expert.

Chapter

Plane-wave model

Plane-wave model

Selection rule

Selection rule

Hybridization

Hybridization

Many-body effects

Many-body effects

Band theory of momentum density

Band theory of momentum density

Introduction

Introduction

Momentum density in the KKR formalism

Momentum density in the KKR formalism

Examples of momentum density calculations

Examples of momentum density calculations

Positron density

Positron density

Electron-positron momentum density

Electron-positron momentum density

Fermiology of high-T_c superconductors: YBa2Cu3O7

Fermiology of high-T_c superconductors: YBa2Cu3O7

Momentum densities in disordered alloys

Momentum densities in disordered alloys

Modern band theory of disordered alloys: Some basic concepts

Modern band theory of disordered alloys: Some basic concepts

Electron momentum density in alloys

Electron momentum density in alloys

Electron-positron momentum density

Electron-positron momentum density

Illustrative examples: CuGe and CuPd solid solutions

Illustrative examples: CuGe and CuPd solid solutions

Positron studies of the electronic structure of solids

Positron studies of the electronic structure of solids

Introduction

Introduction

The basic measurement problem

The basic measurement problem

The problem

The problem

Solutions

Solutions

Momentum densities

Momentum densities

The photon pair momentum density

The photon pair momentum density

The electron momentum density

The electron momentum density

Positron effects

Positron effects

The positron wave function

The positron wave function

Many-electron effects

Many-electron effects

Temperature effects

Temperature effects

2D ACAR machines

2D ACAR machines

Generic design considerations

Generic design considerations

Geometry

Geometry

Symmetry

Symmetry

Scale

Scale

Detectors

Detectors

Data collection and processing

Data collection and processing

Data analysis

Data analysis

Preliminary processing, visualization and analysis

Preliminary processing, visualization and analysis

LCW analyses

LCW analyses

3D reconstruction (tomography)

3D reconstruction (tomography)

Further sophistications

Further sophistications

Contemporary problems and likely future developments

Contemporary problems and likely future developments

Compounds

Compounds

ACAR and positron beams

ACAR and positron beams

Positron annihilation in the superconducting state

Positron annihilation in the superconducting state

Introduction

Introduction

The local-density approximation (LDA) for normal electrons

The local-density approximation (LDA) for normal electrons

A semi-phenomenological LDA theory for superconductors

A semi-phenomenological LDA theory for superconductors

The LDA for the 2 gamma annihilation rate R_(2 gamma) (p) in the normal state

The LDA for the 2 gamma annihilation rate R_(2 gamma) (p) in the normal state

The LDA for the 2 gamma annihilation rate R_2 (p) in the superconducting state

The LDA for the 2 gamma annihilation rate R_2 (p) in the superconducting state

2D-ACAR studies and positron beam developments in Switzerland

2D-ACAR studies and positron beam developments in Switzerland

Introduction

Introduction

Principles of 2D-ACAR and experimental background

Principles of 2D-ACAR and experimental background

Analysis of 2D-ACAR and positron lifetime data

Analysis of 2D-ACAR and positron lifetime data

Window least-square method applied to statistical noise smoothing of 2D-ACAR data

Window least-square method applied to statistical noise smoothing of 2D-ACAR data

Analysis of positron lifetime spectra using quantified maximum entropy

Analysis of positron lifetime spectra using quantified maximum entropy

Linear approach to solve the inverse problem

Linear approach to solve the inverse problem

A generalized linear filter

A generalized linear filter

High-temperature superconductors

High-temperature superconductors

Crystal growth, structure, shape and orientation of YBa2Cu3O7-sigma samples

Crystal growth, structure, shape and orientation of YBa2Cu3O7-sigma samples

Calculation of band structure and positron states

Calculation of band structure and positron states

Analysis of 2D-ACAR distributions

Analysis of 2D-ACAR distributions

Arsenic vacancies in GaAs

Arsenic vacancies in GaAs

An intense micro-beam of monoenergetic positrons

An intense micro-beam of monoenergetic positrons

High-T-c superconductivity: applications of mu+SR and slow-mu+ beams

High-T-c superconductivity: applications of mu+SR and slow-mu+ beams

Introduction

Introduction

Brief review of slow-muon production

Brief review of slow-muon production

Experimental requirements

Experimental requirements

Applications of slow muons

Applications of slow muons

mu+SR and superconductivity

mu+SR and superconductivity

The nature of high-T_c superconductivity

The nature of high-T_c superconductivity

Utility of a slow-muon beam

Utility of a slow-muon beam

Future directions

Future directions

Surface Studies

Surface Studies

Positron and positronium emission spectroscopies

Positron and positronium emission spectroscopies

Introduction

Introduction

Spectroscopies

Spectroscopies

Interactions

Interactions

Selection rules

Selection rules

Spontaneous-emission rates

Spontaneous-emission rates

Thermal-emission rates

Thermal-emission rates

Positron emission spectroscopy

Positron emission spectroscopy

Positron emission mechanisms

Positron emission mechanisms

Work functions

Work functions

Positron tunneling and energy loss spectroscopy

Positron tunneling and energy loss spectroscopy

Intensity correlation microscopy

Intensity correlation microscopy

Positronium emission spectroscopy

Positronium emission spectroscopy

Thermal desorption of the surface positron state as positronium

Thermal desorption of the surface positron state as positronium

Positronium emission from positron states in the bulk solid

Positronium emission from positron states in the bulk solid

Exercises

Exercises

Positron-anniliilation-induced Auger electron spectroscopy

Positron-anniliilation-induced Auger electron spectroscopy

Introduction

Introduction

The PAES mechanism

The PAES mechanism

PAES apparatus

PAES apparatus

Secondary-electron background elimination

Secondary-electron background elimination

Surface sensitivity

Surface sensitivity

Theoretical calculations

Theoretical calculations

PAES intensities

PAES intensities

Measurement of the temperature dependence of PAES

Measurement of the temperature dependence of PAES

Applications of PAES

Applications of PAES

Studies of metal overlayers

Studies of metal overlayers

Pd films on Cu(100)

Pd films on Cu(100)

Rh on Ag

Rh on Ag

Au on Si

Au on Si

PAES studies of the positron surface state

PAES studies of the positron surface state

Future PAES research

Future PAES research

Background-free line shape measurements

Background-free line shape measurements

Polarized positron-annihilation-induced Auger electron spectroscopy

Polarized positron-annihilation-induced Auger electron spectroscopy

PAES microprobe

PAES microprobe

Effect of electron-positron correlations on the annihilation characteristics for positrons trapped at the surface of simple metals

Effect of electron-positron correlations on the annihilation characteristics for positrons trapped at the surface of simple metals

Introduction

Introduction

Theory

Theory

EMD, ACAR spectra and positron lifetime in solids

EMD, ACAR spectra and positron lifetime in solids

Electron wave functions in the host material

Electron wave functions in the host material

Positron distribution and electron-positron enhancement effects

Positron distribution and electron-positron enhancement effects

Various approaches to electron-positron enhancement effects

Various approaches to electron-positron enhancement effects

The ACAR spectra at the surface

The ACAR spectra at the surface

Calculations and results

Calculations and results

The model

The model

Electron and positron work functions

Electron and positron work functions

Electron-positron correlation effects and positron distribution at the surface

Electron-positron correlation effects and positron distribution at the surface

Annihilation characteristics at the surface

Annihilation characteristics at the surface

Conclusions

Conclusions

Low-energy positron and electron diffraction by solids: concepts, models, calculations and surface structure analyses

Low-energy positron and electron diffraction by solids: concepts, models, calculations and surface structure analyses

Introduction

Introduction

Measurements and conservation laws

Measurements and conservation laws

Positron and electron solid interactions

Positron and electron solid interactions

Overview: time and length scales

Overview: time and length scales

Electron (positron)-solid scattering: the model

Electron (positron)-solid scattering: the model

Selected ground-state properties: work functions and effective potentials

Selected ground-state properties: work functions and effective potentials

Excited states: diffraction of incident leptons

Excited states: diffraction of incident leptons

Optical potential

Optical potential

Ion core scattering factors

Ion core scattering factors

Multiple-scattering theory

Multiple-scattering theory

T-matrix formalism

T-matrix formalism

Computer programs

Computer programs

Tests of the model: examples

Tests of the model: examples

Surface structure analyses

Surface structure analyses

Epilogue

Epilogue

Slow-positron optics

Slow-positron optics

Moderator-target characterization

Moderator-target characterization

Aberrations

Aberrations

Positron annihilation microprobe and re-emission microscope

Positron annihilation microprobe and re-emission microscope

Positron re-emission microscope (PRM)

Positron re-emission microscope (PRM)

Positron annihilation microprobe (PAM)

Positron annihilation microprobe (PAM)

Intrinsic resolution limits on positron annihilation microprobes

Intrinsic resolution limits on positron annihilation microprobes

Optical-resolution limits on positron annihilation microprobe resolution

Optical-resolution limits on positron annihilation microprobe resolution

Experimental considerations for low-energy positron diffraction

Experimental considerations for low-energy positron diffraction

Beam requirements for LEPD

Beam requirements for LEPD

Beam flux requirements

Beam flux requirements

Hitting the sample

Hitting the sample

Beam normalization

Beam normalization

Combined LEED and LEPD measurements

Combined LEED and LEPD measurements

Future directions

Future directions

Metals

Metals

LEPD I-V profile calculation without the muffin-tin model

LEPD I-V profile calculation without the muffin-tin model

LEPD holography

LEPD holography

Conclusion

Conclusion

Positronium beams and surfaces

Positronium beams and surfaces

Introductory remarks

Introductory remarks

Fast-Ps production: methods and beam qualities

Fast-Ps production: methods and beam qualities

Applications

Applications

Outlook

Outlook

Positronium spectroscopies for the study of the surface of fme particles

Positronium spectroscopies for the study of the surface of fme particles

Introduction

Introduction

Two-gamma annihilations of Ps

Two-gamma annihilations of Ps

Self-annihilation of p-Ps

Self-annihilation of p-Ps

Magnetic-filed-induced 2 gamma annihilation

Magnetic-filed-induced 2 gamma annihilation

Pickoff annihilation

Pickoff annihilation

2 gamma annihilation from spin conversion

2 gamma annihilation from spin conversion

Time-selected momentum measurements

Time-selected momentum measurements

Ps spectroscopies ofthe surface of a-SiO2

Ps spectroscopies ofthe surface of a-SiO2

Ps work function

Ps work function

Ps energy loss by collisions with the grain surface

Ps energy loss by collisions with the grain surface

Pickoff spectroscopy of the surface electrons

Pickoff spectroscopy of the surface electrons

Paramagnetic defects produced on the surface

Paramagnetic defects produced on the surface

Defect Probing

Defect Probing

Electronic structure and positron spectroscopy of solids and surfaces

Electronic structure and positron spectroscopy of solids and surfaces

Introduction

Introduction

Total energies and ground-state properties

Total energies and ground-state properties

Density-functional theory

Density-functional theory

Beyond the local-density approximation

Beyond the local-density approximation

Excitations

Excitations

Moving ions: molecular dynamics

Moving ions: molecular dynamics

Molecular-dynamics simulation

Molecular-dynamics simulation

Molecular dynamics with quantum-mechanical forces

Molecular dynamics with quantum-mechanical forces

More approximate techniques

More approximate techniques

Computation of electron states for low-symmetry systems

Computation of electron states for low-symmetry systems

Examples of applications

Examples of applications

Defects and impurities in transition metals

Defects and impurities in transition metals

Defects in semiconductors

Defects in semiconductors

Molecular-dynamics simulation of liquids

Molecular-dynamics simulation of liquids

Positrons as probes of defects and surfaces

Positrons as probes of defects and surfaces

Positron implantation

Positron implantation

Epithermal positron motion

Epithermal positron motion

Positron mobility and diffusion

Positron mobility and diffusion

Positron trapping

Positron trapping

Resonance trapping

Resonance trapping

Charged-defect trapping

Charged-defect trapping

Surface trapping and quantum reflection

Surface trapping and quantum reflection

Diffusion-annihilation equations

Diffusion-annihilation equations

Two-component density-functional theory

Two-component density-functional theory

Positron affinities in solids

Positron affinities in solids

Applications to defects in metals and semiconductors

Applications to defects in metals and semiconductors

Defect spectroscopy

Defect spectroscopy

Paramagnetic defects

Paramagnetic defects

Applications to positron surface states

Applications to positron surface states

Applications to exotic materials

Applications to exotic materials

Final remarks

Final remarks

Positron spectroscopy of defects in metals and semiconductors

Positron spectroscopy of defects in metals and semiconductors

Introduction

Introduction

On the role of atomic defects in solids

On the role of atomic defects in solids

The role of positron annihilation in defect spectroscopy

The role of positron annihilation in defect spectroscopy

Organization of the lecture

Organization of the lecture

Positrons in solids

Positrons in solids

Stopping and thermalization

Stopping and thermalization

Stopping profile

Stopping profile

Slowing down and thermalization time

Slowing down and thermalization time

Positron diffusion and mobility

Positron diffusion and mobility

Positron wave function

Positron wave function

Annihilation characteristics

Annihilation characteristics

Experimental techniques

Experimental techniques

Positron lifetime spectroscopy

Positron lifetime spectroscopy

Doppler-broadening spectroscopy

Doppler-broadening spectroscopy

Positron trapping

Positron trapping

Trapping model and kinetic equations

Trapping model and kinetic equations

Annihilation fractions, momentum parameters and average lifetime

Annihilation fractions, momentum parameters and average lifetime

Trapping coefficient

Trapping coefficient

Detrapping

Detrapping

Applications to metals

Applications to metals

Trapping rate into vacancies and vacancy clusters

Trapping rate into vacancies and vacancy clusters

Positron lifetime in vacancies and vacancy clusters

Positron lifetime in vacancies and vacancy clusters

Vacancies at thermal equilibrium

Vacancies at thermal equilibrium

Vacancies after irradiations

Vacancies after irradiations

Voids and gas bubbles

Voids and gas bubbles

Precipitates in alloys

Precipitates in alloys

Positrons and defects in semiconductors

Positrons and defects in semiconductors

Free and trapped positrons

Free and trapped positrons

Charge states

Charge states

Charge state and positron lifetime in vacancies

Charge state and positron lifetime in vacancies

Trapping in semiconductors: vacancies in various charge states

Trapping in semiconductors: vacancies in various charge states

Positron Rydberg states

Positron Rydberg states

Trapping into Rydberg states

Trapping into Rydberg states

Concluding remarks

Concluding remarks

Appendix. - Positron lifetime spectroscopy and trapping model in practice

Appendix. - Positron lifetime spectroscopy and trapping model in practice

Source corrections

Source corrections

Decomposition and the average lifetime

Decomposition and the average lifetime

One type of defects, no detrapping

One type of defects, no detrapping

One type of defects with detrapping

One type of defects with detrapping

Two types of defects, no detrapping

Two types of defects, no detrapping

Positron annihilation spectroscopy of vacancies and acceptors in semiconductors

Positron annihilation spectroscopy of vacancies and acceptors in semiconductors

Introduction

Introduction

Defects in semiconductors

Defects in semiconductors

Charge states

Charge states

Occupancy of a charge state

Occupancy of a charge state

Free carriers and Fermi level

Free carriers and Fermi level

Charge states of vacancies: thermal transition

Charge states of vacancies: thermal transition

As-grown n-type GaAs: the As vacancy

As-grown n-type GaAs: the As vacancy

As-grown n-type Al_x Ga_(1-x)AS layers: the DX deep donor level

As-grown n-type Al_x Ga_(1-x)AS layers: the DX deep donor level

Electron-irradiated Si:P: the vacancy-phosphorus pair

Electron-irradiated Si:P: the vacancy-phosphorus pair

Charge states of vacancies: optical transition

Charge states of vacancies: optical transition

As-grown SI-GaAs: the As vacancy

As-grown SI-GaAs: the As vacancy

As-grown n-type Al_x Ga_(1-x)As(Si) layers: the DX deep donor level

As-grown n-type Al_x Ga_(1-x)As(Si) layers: the DX deep donor level

Metastable effects after illumination

Metastable effects after illumination

As-grown SI-GaAs: the EL2 mid-gap donor

As-grown SI-GaAs: the EL2 mid-gap donor

As-grown n-type Al_x Ga_(1-x)As layers: the DX deep donor level

As-grown n-type Al_x Ga_(1-x)As layers: the DX deep donor level

The atomic structure of EL2 and DX

The atomic structure of EL2 and DX

Acceptor spectroscopy: vacancies or ions

Acceptor spectroscopy: vacancies or ions

Electron-irradiated GaAs: the Ga vacancy and antisite

Electron-irradiated GaAs: the Ga vacancy and antisite

Conclusion

Conclusion

Appendix

Appendix

Characterizing free volumes and holes in polymers by positron annihilation spectroscopy

Characterizing free volumes and holes in polymers by positron annihilation spectroscopy

The free-volume and hole theory in molecular substrates

The free-volume and hole theory in molecular substrates

PAS as a unique probe for free-volume characterization

PAS as a unique probe for free-volume characterization

Theoretical aspects of positron annihilation in condensed matter

Theoretical aspects of positron annihilation in condensed matter

Data analysis of PAL spectra

Data analysis of PAL spectra

Methods of determining free-volume distributions

Methods of determining free-volume distributions

Examples of experimental free-volume results by PAL

Examples of experimental free-volume results by PAL

Mean hole size: temperature and pressure dependence

Mean hole size: temperature and pressure dependence

Free-volume hole distributions

Free-volume hole distributions

Comparison with free-volume theories

Comparison with free-volume theories

Simha-Somcynsky's theory

Simha-Somcynsky's theory

Turnbull-Cohen's theory

Turnbull-Cohen's theory

Conclusion

Conclusion

Defect profiling by positron beams and other techniques

Defect profiling by positron beams and other techniques

Introduction

Introduction

PART I. - An overview on subsurface defects: production and detection

PART I. - An overview on subsurface defects: production and detection

Origin and type of subsurface defects

Origin and type of subsurface defects

Polishing and thinning a crystal

Polishing and thinning a crystal

Chemical reactions

Chemical reactions

Ion implantation

Ion implantation

Overlayer deposition

Overlayer deposition

Simulations of ion-matter interactions

Simulations of ion-matter interactions

Experimental techniques for defect profiling

Experimental techniques for defect profiling

Rutherford backscattering spectroscopy

Rutherford backscattering spectroscopy

Channelling effects on Rutherford backscattering

Channelling effects on Rutherford backscattering

Elastic-recoil detection analysis

Elastic-recoil detection analysis

Secondary-ion mass spectrometry

Secondary-ion mass spectrometry

Transmission electron microscopy

Transmission electron microscopy

Double-crystal X-ray diffraction

Double-crystal X-ray diffraction

Infrared spectroscopy

Infrared spectroscopy

Deep-level transient spectroscopy

Deep-level transient spectroscopy

Spreading-resistance measurements

Spreading-resistance measurements

PART II. - Defect profIling with variable-energy positron beams

PART II. - Defect profIling with variable-energy positron beams

Basic notions on positron annihilation spectroscopy for defect studies

Basic notions on positron annihilation spectroscopy for defect studies

Defect profiling by the Doppler-broadening method

Defect profiling by the Doppler-broadening method

PAS-DB measurements with controlled-energy beams: experimental apparatuses

PAS-DB measurements with controlled-energy beams: experimental apparatuses

The back-diffusion method

The back-diffusion method

Thermal-diffusion approximation and analysis procedures

Thermal-diffusion approximation and analysis procedures

Factors influencing the accuracy of the analysis

Factors influencing the accuracy of the analysis

Diffusion constant D_+ and mobility mu_+

Diffusion constant D_+ and mobility mu_+

Electric fields

Electric fields

Positron implantation profile

Positron implantation profile

Specific trapping rate nu

Specific trapping rate nu

Characteristic lineshape parameters

Characteristic lineshape parameters

Cut-off energy E_min

Cut-off energy E_min

Two-group diffusion model

Two-group diffusion model

Current research in the field of defect profiling by positron annihilation

Current research in the field of defect profiling by positron annihilation

Characterization of defects in Si and SiO2-Si using positrons

Characterization of defects in Si and SiO2-Si using positrons

Introduction

Introduction

Si grown on Si by low-temperature MBE

Si grown on Si by low-temperature MBE

Radiation damage in the SiO2-Si system

Radiation damage in the SiO2-Si system

Interface trap behavior under annealing and hydrogenation

Interface trap behavior under annealing and hydrogenation

Positron studies of metal-oxide-semiconductor structures

Positron studies of metal-oxide-semiconductor structures

Model for interface positron trap sites

Model for interface positron trap sites

Conclusion

Conclusion

Positron implantation in solids

Positron implantation in solids

Introduction

Introduction

The Monte Carlo procedure

The Monte Carlo procedure

Monte Carlo results

Monte Carlo results

Low-energy contributions to positron implantation

Low-energy contributions to positron implantation

Comparison of Monte Carlo results with experimental data

Comparison of Monte Carlo results with experimental data

A simple diffusion model for positron implantation

A simple diffusion model for positron implantation

Conclusion

Conclusion

Appendix A

Appendix A

Appendix B

Appendix B

Appendix C

Appendix C

Appendix D

Appendix D

Defects in semiconductors observed by 2D-ACAR and by a slow-positron beam

Defects in semiconductors observed by 2D-ACAR and by a slow-positron beam

Introduction

Introduction

The origin of the effect of point defects on the angular correlation of annihilation radiation (ACAR) in semiconductors

The origin of the effect of point defects on the angular correlation of annihilation radiation (ACAR) in semiconductors

Near-surface defects observed by a slow-positron beam

Near-surface defects observed by a slow-positron beam

Perspective for the use of new positron techniques

Perspective for the use of new positron techniques

Appendix

Appendix

Oxygen Diffusion in YBaCuO by Positron Annihilation Spectroscopy

Oxygen Diffusion in YBaCuO by Positron Annihilation Spectroscopy

Neutral State of Mercury Vacancies and Compensation in HgCdTe Crystals: Evidence from Positron and Hall Combined Experiments

Neutral State of Mercury Vacancies and Compensation in HgCdTe Crystals: Evidence from Positron and Hall Combined Experiments

Hyperfine Structure of Positronium Energy Levels in a Crystal

Hyperfine Structure of Positronium Energy Levels in a Crystal

Positron Studies on Reverse Micellar Systems

Positron Studies on Reverse Micellar Systems

Positron Distributions and Lifetimes in Novel Superconductors

Positron Distributions and Lifetimes in Novel Superconductors

Age-Momentum Correlation (AMOC) Measurements by Means of a Relativistic Positron Beam and the Positron Clock Principle

Age-Momentum Correlation (AMOC) Measurements by Means of a Relativistic Positron Beam and the Positron Clock Principle

Positron and Mossbauer Studies of Fe_80 B_20 Metallic Glass Defects

Positron and Mossbauer Studies of Fe_80 B_20 Metallic Glass Defects

Positron Annihilation at Ionized Acceptors and Vacancies in Indium Phosphide after Electron Irradiation

Positron Annihilation at Ionized Acceptors and Vacancies in Indium Phosphide after Electron Irradiation

Distinguishing between Vacancies and Dislocations by the Positron Annihilation Method

Distinguishing between Vacancies and Dislocations by the Positron Annihilation Method

Positron Trapping in Potential-Energy Wells

Positron Trapping in Potential-Energy Wells

Ortho-Positronium Annihilation Characteristics as Functions of Crystallinity and Composition in Miscible Polycarbonate / ThermX Polymer Blends

Ortho-Positronium Annihilation Characteristics as Functions of Crystallinity and Composition in Miscible Polycarbonate / ThermX Polymer Blends

Indice Analitico

Indice Analitico

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