- •Preface
- •Imaging Microscopic Features
- •Measuring the Crystal Structure
- •References
- •Contents
- •1.4 Simulating the Effects of Elastic Scattering: Monte Carlo Calculations
- •What Are the Main Features of the Beam Electron Interaction Volume?
- •How Does the Interaction Volume Change with Composition?
- •How Does the Interaction Volume Change with Incident Beam Energy?
- •How Does the Interaction Volume Change with Specimen Tilt?
- •1.5 A Range Equation To Estimate the Size of the Interaction Volume
- •References
- •2: Backscattered Electrons
- •2.1 Origin
- •2.2.1 BSE Response to Specimen Composition (η vs. Atomic Number, Z)
- •SEM Image Contrast with BSE: “Atomic Number Contrast”
- •SEM Image Contrast: “BSE Topographic Contrast—Number Effects”
- •2.2.3 Angular Distribution of Backscattering
- •Beam Incident at an Acute Angle to the Specimen Surface (Specimen Tilt > 0°)
- •SEM Image Contrast: “BSE Topographic Contrast—Trajectory Effects”
- •2.2.4 Spatial Distribution of Backscattering
- •Depth Distribution of Backscattering
- •Radial Distribution of Backscattered Electrons
- •2.3 Summary
- •References
- •3: Secondary Electrons
- •3.1 Origin
- •3.2 Energy Distribution
- •3.3 Escape Depth of Secondary Electrons
- •3.8 Spatial Characteristics of Secondary Electrons
- •References
- •4: X-Rays
- •4.1 Overview
- •4.2 Characteristic X-Rays
- •4.2.1 Origin
- •4.2.2 Fluorescence Yield
- •4.2.3 X-Ray Families
- •4.2.4 X-Ray Nomenclature
- •4.2.6 Characteristic X-Ray Intensity
- •Isolated Atoms
- •X-Ray Production in Thin Foils
- •X-Ray Intensity Emitted from Thick, Solid Specimens
- •4.3 X-Ray Continuum (bremsstrahlung)
- •4.3.1 X-Ray Continuum Intensity
- •4.3.3 Range of X-ray Production
- •4.4 X-Ray Absorption
- •4.5 X-Ray Fluorescence
- •References
- •5.1 Electron Beam Parameters
- •5.2 Electron Optical Parameters
- •5.2.1 Beam Energy
- •Landing Energy
- •5.2.2 Beam Diameter
- •5.2.3 Beam Current
- •5.2.4 Beam Current Density
- •5.2.5 Beam Convergence Angle, α
- •5.2.6 Beam Solid Angle
- •5.2.7 Electron Optical Brightness, β
- •Brightness Equation
- •5.2.8 Focus
- •Astigmatism
- •5.3 SEM Imaging Modes
- •5.3.1 High Depth-of-Field Mode
- •5.3.2 High-Current Mode
- •5.3.3 Resolution Mode
- •5.3.4 Low-Voltage Mode
- •5.4 Electron Detectors
- •5.4.1 Important Properties of BSE and SE for Detector Design and Operation
- •Abundance
- •Angular Distribution
- •Kinetic Energy Response
- •5.4.2 Detector Characteristics
- •Angular Measures for Electron Detectors
- •Elevation (Take-Off) Angle, ψ, and Azimuthal Angle, ζ
- •Solid Angle, Ω
- •Energy Response
- •Bandwidth
- •5.4.3 Common Types of Electron Detectors
- •Backscattered Electrons
- •Passive Detectors
- •Scintillation Detectors
- •Semiconductor BSE Detectors
- •5.4.4 Secondary Electron Detectors
- •Everhart–Thornley Detector
- •Through-the-Lens (TTL) Electron Detectors
- •TTL SE Detector
- •TTL BSE Detector
- •Measuring the DQE: BSE Semiconductor Detector
- •References
- •6: Image Formation
- •6.1 Image Construction by Scanning Action
- •6.2 Magnification
- •6.3 Making Dimensional Measurements With the SEM: How Big Is That Feature?
- •Using a Calibrated Structure in ImageJ-Fiji
- •6.4 Image Defects
- •6.4.1 Projection Distortion (Foreshortening)
- •6.4.2 Image Defocusing (Blurring)
- •6.5 Making Measurements on Surfaces With Arbitrary Topography: Stereomicroscopy
- •6.5.1 Qualitative Stereomicroscopy
- •Fixed beam, Specimen Position Altered
- •Fixed Specimen, Beam Incidence Angle Changed
- •6.5.2 Quantitative Stereomicroscopy
- •Measuring a Simple Vertical Displacement
- •References
- •7: SEM Image Interpretation
- •7.1 Information in SEM Images
- •7.2.2 Calculating Atomic Number Contrast
- •Establishing a Robust Light-Optical Analogy
- •Getting It Wrong: Breaking the Light-Optical Analogy of the Everhart–Thornley (Positive Bias) Detector
- •Deconstructing the SEM/E–T Image of Topography
- •SUM Mode (A + B)
- •DIFFERENCE Mode (A−B)
- •References
- •References
- •9: Image Defects
- •9.1 Charging
- •9.1.1 What Is Specimen Charging?
- •9.1.3 Techniques to Control Charging Artifacts (High Vacuum Instruments)
- •Observing Uncoated Specimens
- •Coating an Insulating Specimen for Charge Dissipation
- •Choosing the Coating for Imaging Morphology
- •9.2 Radiation Damage
- •9.3 Contamination
- •References
- •10: High Resolution Imaging
- •10.2 Instrumentation Considerations
- •10.4.1 SE Range Effects Produce Bright Edges (Isolated Edges)
- •10.4.4 Too Much of a Good Thing: The Bright Edge Effect Hinders Locating the True Position of an Edge for Critical Dimension Metrology
- •10.5.1 Beam Energy Strategies
- •Low Beam Energy Strategy
- •High Beam Energy Strategy
- •Making More SE1: Apply a Thin High-δ Metal Coating
- •Making Fewer BSEs, SE2, and SE3 by Eliminating Bulk Scattering From the Substrate
- •10.6 Factors That Hinder Achieving High Resolution
- •10.6.2 Pathological Specimen Behavior
- •Contamination
- •Instabilities
- •References
- •11: Low Beam Energy SEM
- •11.3 Selecting the Beam Energy to Control the Spatial Sampling of Imaging Signals
- •11.3.1 Low Beam Energy for High Lateral Resolution SEM
- •11.3.2 Low Beam Energy for High Depth Resolution SEM
- •11.3.3 Extremely Low Beam Energy Imaging
- •References
- •12.1.1 Stable Electron Source Operation
- •12.1.2 Maintaining Beam Integrity
- •12.1.4 Minimizing Contamination
- •12.3.1 Control of Specimen Charging
- •12.5 VPSEM Image Resolution
- •References
- •13: ImageJ and Fiji
- •13.1 The ImageJ Universe
- •13.2 Fiji
- •13.3 Plugins
- •13.4 Where to Learn More
- •References
- •14: SEM Imaging Checklist
- •14.1.1 Conducting or Semiconducting Specimens
- •14.1.2 Insulating Specimens
- •14.2 Electron Signals Available
- •14.2.1 Beam Electron Range
- •14.2.2 Backscattered Electrons
- •14.2.3 Secondary Electrons
- •14.3 Selecting the Electron Detector
- •14.3.2 Backscattered Electron Detectors
- •14.3.3 “Through-the-Lens” Detectors
- •14.4 Selecting the Beam Energy for SEM Imaging
- •14.4.4 High Resolution SEM Imaging
- •Strategy 1
- •Strategy 2
- •14.5 Selecting the Beam Current
- •14.5.1 High Resolution Imaging
- •14.5.2 Low Contrast Features Require High Beam Current and/or Long Frame Time to Establish Visibility
- •14.6 Image Presentation
- •14.6.1 “Live” Display Adjustments
- •14.6.2 Post-Collection Processing
- •14.7 Image Interpretation
- •14.7.1 Observer’s Point of View
- •14.7.3 Contrast Encoding
- •14.8.1 VPSEM Advantages
- •14.8.2 VPSEM Disadvantages
- •15: SEM Case Studies
- •15.1 Case Study: How High Is That Feature Relative to Another?
- •15.2 Revealing Shallow Surface Relief
- •16.1.2 Minor Artifacts: The Si-Escape Peak
- •16.1.3 Minor Artifacts: Coincidence Peaks
- •16.1.4 Minor Artifacts: Si Absorption Edge and Si Internal Fluorescence Peak
- •16.2 “Best Practices” for Electron-Excited EDS Operation
- •16.2.1 Operation of the EDS System
- •Choosing the EDS Time Constant (Resolution and Throughput)
- •Choosing the Solid Angle of the EDS
- •Selecting a Beam Current for an Acceptable Level of System Dead-Time
- •16.3.1 Detector Geometry
- •16.3.2 Process Time
- •16.3.3 Optimal Working Distance
- •16.3.4 Detector Orientation
- •16.3.5 Count Rate Linearity
- •16.3.6 Energy Calibration Linearity
- •16.3.7 Other Items
- •16.3.8 Setting Up a Quality Control Program
- •Using the QC Tools Within DTSA-II
- •Creating a QC Project
- •Linearity of Output Count Rate with Live-Time Dose
- •Resolution and Peak Position Stability with Count Rate
- •Solid Angle for Low X-ray Flux
- •Maximizing Throughput at Moderate Resolution
- •References
- •17: DTSA-II EDS Software
- •17.1 Getting Started With NIST DTSA-II
- •17.1.1 Motivation
- •17.1.2 Platform
- •17.1.3 Overview
- •17.1.4 Design
- •Simulation
- •Quantification
- •Experiment Design
- •Modeled Detectors (. Fig. 17.1)
- •Window Type (. Fig. 17.2)
- •The Optimal Working Distance (. Figs. 17.3 and 17.4)
- •Elevation Angle
- •Sample-to-Detector Distance
- •Detector Area
- •Crystal Thickness
- •Number of Channels, Energy Scale, and Zero Offset
- •Resolution at Mn Kα (Approximate)
- •Azimuthal Angle
- •Gold Layer, Aluminum Layer, Nickel Layer
- •Dead Layer
- •Zero Strobe Discriminator (. Figs. 17.7 and 17.8)
- •Material Editor Dialog (. Figs. 17.9, 17.10, 17.11, 17.12, 17.13, and 17.14)
- •17.2.1 Introduction
- •17.2.2 Monte Carlo Simulation
- •17.2.4 Optional Tables
- •References
- •18: Qualitative Elemental Analysis by Energy Dispersive X-Ray Spectrometry
- •18.1 Quality Assurance Issues for Qualitative Analysis: EDS Calibration
- •18.2 Principles of Qualitative EDS Analysis
- •Exciting Characteristic X-Rays
- •Fluorescence Yield
- •X-ray Absorption
- •Si Escape Peak
- •Coincidence Peaks
- •18.3 Performing Manual Qualitative Analysis
- •Beam Energy
- •Choosing the EDS Resolution (Detector Time Constant)
- •Obtaining Adequate Counts
- •18.4.1 Employ the Available Software Tools
- •18.4.3 Lower Photon Energy Region
- •18.4.5 Checking Your Work
- •18.5 A Worked Example of Manual Peak Identification
- •References
- •19.1 What Is a k-ratio?
- •19.3 Sets of k-ratios
- •19.5 The Analytical Total
- •19.6 Normalization
- •19.7.1 Oxygen by Assumed Stoichiometry
- •19.7.3 Element by Difference
- •19.8 Ways of Reporting Composition
- •19.8.1 Mass Fraction
- •19.8.2 Atomic Fraction
- •19.8.3 Stoichiometry
- •19.8.4 Oxide Fractions
- •Example Calculations
- •19.9 The Accuracy of Quantitative Electron-Excited X-ray Microanalysis
- •19.9.1 Standards-Based k-ratio Protocol
- •19.9.2 “Standardless Analysis”
- •19.10 Appendix
- •19.10.1 The Need for Matrix Corrections To Achieve Quantitative Analysis
- •19.10.2 The Physical Origin of Matrix Effects
- •19.10.3 ZAF Factors in Microanalysis
- •X-ray Generation With Depth, φ(ρz)
- •X-ray Absorption Effect, A
- •X-ray Fluorescence, F
- •References
- •20.2 Instrumentation Requirements
- •20.2.1 Choosing the EDS Parameters
- •EDS Spectrum Channel Energy Width and Spectrum Energy Span
- •EDS Time Constant (Resolution and Throughput)
- •EDS Calibration
- •EDS Solid Angle
- •20.2.2 Choosing the Beam Energy, E0
- •20.2.3 Measuring the Beam Current
- •20.2.4 Choosing the Beam Current
- •Optimizing Analysis Strategy
- •20.3.4 Ba-Ti Interference in BaTiSi3O9
- •20.4 The Need for an Iterative Qualitative and Quantitative Analysis Strategy
- •20.4.2 Analysis of a Stainless Steel
- •20.5 Is the Specimen Homogeneous?
- •20.6 Beam-Sensitive Specimens
- •20.6.1 Alkali Element Migration
- •20.6.2 Materials Subject to Mass Loss During Electron Bombardment—the Marshall-Hall Method
- •Thin Section Analysis
- •Bulk Biological and Organic Specimens
- •References
- •21: Trace Analysis by SEM/EDS
- •21.1 Limits of Detection for SEM/EDS Microanalysis
- •21.2.1 Estimating CDL from a Trace or Minor Constituent from Measuring a Known Standard
- •21.2.2 Estimating CDL After Determination of a Minor or Trace Constituent with Severe Peak Interference from a Major Constituent
- •21.3 Measurements of Trace Constituents by Electron-Excited Energy Dispersive X-ray Spectrometry
- •The Inevitable Physics of Remote Excitation Within the Specimen: Secondary Fluorescence Beyond the Electron Interaction Volume
- •Simulation of Long-Range Secondary X-ray Fluorescence
- •NIST DTSA II Simulation: Vertical Interface Between Two Regions of Different Composition in a Flat Bulk Target
- •NIST DTSA II Simulation: Cubic Particle Embedded in a Bulk Matrix
- •21.5 Summary
- •References
- •22.1.2 Low Beam Energy Analysis Range
- •22.2 Advantage of Low Beam Energy X-Ray Microanalysis
- •22.2.1 Improved Spatial Resolution
- •22.3 Challenges and Limitations of Low Beam Energy X-Ray Microanalysis
- •22.3.1 Reduced Access to Elements
- •22.3.3 At Low Beam Energy, Almost Everything Is Found To Be Layered
- •Analysis of Surface Contamination
- •References
- •23: Analysis of Specimens with Special Geometry: Irregular Bulk Objects and Particles
- •23.2.1 No Chemical Etching
- •23.3 Consequences of Attempting Analysis of Bulk Materials With Rough Surfaces
- •23.4.1 The Raw Analytical Total
- •23.4.2 The Shape of the EDS Spectrum
- •23.5 Best Practices for Analysis of Rough Bulk Samples
- •23.6 Particle Analysis
- •Particle Sample Preparation: Bulk Substrate
- •The Importance of Beam Placement
- •Overscanning
- •“Particle Mass Effect”
- •“Particle Absorption Effect”
- •The Analytical Total Reveals the Impact of Particle Effects
- •Does Overscanning Help?
- •23.6.6 Peak-to-Background (P/B) Method
- •Specimen Geometry Severely Affects the k-ratio, but Not the P/B
- •Using the P/B Correspondence
- •23.7 Summary
- •References
- •24: Compositional Mapping
- •24.2 X-Ray Spectrum Imaging
- •24.2.1 Utilizing XSI Datacubes
- •24.2.2 Derived Spectra
- •SUM Spectrum
- •MAXIMUM PIXEL Spectrum
- •24.3 Quantitative Compositional Mapping
- •24.4 Strategy for XSI Elemental Mapping Data Collection
- •24.4.1 Choosing the EDS Dead-Time
- •24.4.2 Choosing the Pixel Density
- •24.4.3 Choosing the Pixel Dwell Time
- •“Flash Mapping”
- •High Count Mapping
- •References
- •25.1 Gas Scattering Effects in the VPSEM
- •25.1.1 Why Doesn’t the EDS Collimator Exclude the Remote Skirt X-Rays?
- •25.2 What Can Be Done To Minimize gas Scattering in VPSEM?
- •25.2.2 Favorable Sample Characteristics
- •Particle Analysis
- •25.2.3 Unfavorable Sample Characteristics
- •References
- •26.1 Instrumentation
- •26.1.2 EDS Detector
- •26.1.3 Probe Current Measurement Device
- •Direct Measurement: Using a Faraday Cup and Picoammeter
- •A Faraday Cup
- •Electrically Isolated Stage
- •Indirect Measurement: Using a Calibration Spectrum
- •26.1.4 Conductive Coating
- •26.2 Sample Preparation
- •26.2.1 Standard Materials
- •26.2.2 Peak Reference Materials
- •26.3 Initial Set-Up
- •26.3.1 Calibrating the EDS Detector
- •Selecting a Pulse Process Time Constant
- •Energy Calibration
- •Quality Control
- •Sample Orientation
- •Detector Position
- •Probe Current
- •26.4 Collecting Data
- •26.4.1 Exploratory Spectrum
- •26.4.2 Experiment Optimization
- •26.4.3 Selecting Standards
- •26.4.4 Reference Spectra
- •26.4.5 Collecting Standards
- •26.4.6 Collecting Peak-Fitting References
- •26.5 Data Analysis
- •26.5.2 Quantification
- •26.6 Quality Check
- •Reference
- •27.2 Case Study: Aluminum Wire Failures in Residential Wiring
- •References
- •28: Cathodoluminescence
- •28.1 Origin
- •28.2 Measuring Cathodoluminescence
- •28.3 Applications of CL
- •28.3.1 Geology
- •Carbonado Diamond
- •Ancient Impact Zircons
- •28.3.2 Materials Science
- •Semiconductors
- •Lead-Acid Battery Plate Reactions
- •28.3.3 Organic Compounds
- •References
- •29.1.1 Single Crystals
- •29.1.2 Polycrystalline Materials
- •29.1.3 Conditions for Detecting Electron Channeling Contrast
- •Specimen Preparation
- •Instrument Conditions
- •29.2.1 Origin of EBSD Patterns
- •29.2.2 Cameras for EBSD Pattern Detection
- •29.2.3 EBSD Spatial Resolution
- •29.2.5 Steps in Typical EBSD Measurements
- •Sample Preparation for EBSD
- •Align Sample in the SEM
- •Check for EBSD Patterns
- •Adjust SEM and Select EBSD Map Parameters
- •Run the Automated Map
- •29.2.6 Display of the Acquired Data
- •29.2.7 Other Map Components
- •29.2.10 Application Example
- •Application of EBSD To Understand Meteorite Formation
- •29.2.11 Summary
- •Specimen Considerations
- •EBSD Detector
- •Selection of Candidate Crystallographic Phases
- •Microscope Operating Conditions and Pattern Optimization
- •Selection of EBSD Acquisition Parameters
- •Collect the Orientation Map
- •References
- •30.1 Introduction
- •30.2 Ion–Solid Interactions
- •30.3 Focused Ion Beam Systems
- •30.5 Preparation of Samples for SEM
- •30.5.1 Cross-Section Preparation
- •30.5.2 FIB Sample Preparation for 3D Techniques and Imaging
- •30.6 Summary
- •References
- •31: Ion Beam Microscopy
- •31.1 What Is So Useful About Ions?
- •31.2 Generating Ion Beams
- •31.3 Signal Generation in the HIM
- •31.5 Patterning with Ion Beams
- •31.7 Chemical Microanalysis with Ion Beams
- •References
- •Appendix
- •A Database of Electron–Solid Interactions
- •A Database of Electron–Solid Interactions
- •Introduction
- •Backscattered Electrons
- •Secondary Yields
- •Stopping Powers
- •X-ray Ionization Cross Sections
- •Conclusions
- •References
- •Index
- •Reference List
- •Index
31.2 · Generating Ion Beams
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Date: 4/7/2010 |
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. Fig. 31.5 High resolution helium ion imaging with high depth-of- field of a soft tissue sample, human pancreatic cells (Sample courtesy of Paul Walther, Univ. of Ulm)
target, which can locally alter the target composition, ions of higher mass, such as Ga+ and above, have higher sputtering rates that may substantially alter the target. While acceptable for some tasks such as thinning or machining materials, the level of damage per incident heavy ion is undesirable for imaging purposes because such significant local alteration occurs that the fine spatial details of the specimen are lost before an image representative of the original material can be successfully captured.
31.2\ Generating Ion Beams
The approach now most commonly employed for producing a beam of ions for use in microscopy is a development of the method originally employed by Prof. Erwin Muller at Penn State University in the 1940s and 1950s (Muller 1965). Muller’s device was a sealed metal cylinder containing helium gas which was cooled to a temperature of just a few degrees Kelvin (K). At one end of the cylinder was a sharply pointed metal needle connected to a power supply capable of supporting a positive voltage of up to a few kilovolts, while at the other end was a fluorescent imaging screen. When neutral helium atoms drifted towards the needle they became
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ionized due to the high electric field gradient and acquired a positive potential which then resulted in them being accelerated away from the tip and towards the viewing screen where they formed into an image. On October 11, 1955, Muller and his students were able to demonstrate for the first time ever the direct observation of an atomic structure. Almost 20 years later Professor Riccardo Levi-Setti of the University of Chicago developed a modification of Muller’s ion source which allowed it to generate ion beams that could be focused, scanned, and used for imaging in the same way as electrons in a conventional SEM (Levi-Setti 1974). It was this development that became the basis for the source for the present helium ion microscope (HIM).
In present-day ion beam microscopes, the emitter is once again fabricated into the form of a needle, but now the exact size and shape of this tip is very carefully optimized. Using patented, and proprietary, procedures developed by the Zeiss company the emitter tip is shaped and sharpened until it contains just three atoms (Notte et al. 2006). This “trimer” configuration is inherently more stable than any more random arrangement and also ensures that the maximum emitted ion current is directed parallel to the axis of the ion beam. A carefully placed, moveable aperture can then be used to select any one of the three “trimer” ion emission peaks to be used as the beam source for the instrument. The available ion beam current varies with the magnitude of the helium, or other gas, pressure and can reach values as high of several hundred picoamperes.
Low energy ions, i.e., those with less than about 1 MeV of energy, are not significantly affected by magnetic fields so all of the lenses must be electrostatic in type rather than magnetic. The ion beam then travels along the microscope column until it reaches the specimen where its interaction generates ion-induced secondary electrons (iSE) as well as, in some cases, other signals. The ion emitter is adequately stable and provides a bright signal for periods from 5–10 h before the emitter needs to be re-optimized. Once the available beam current becomes too low in intensity, or too unstable to be useful, then the tip must be reformed. This can be done in situ by the operator using an automated procedure which takes some 10–20 min to complete.
Changing from the familiar He+ beam to a Ne+ beam, or to some other source of emission, requires that any residual gas in the chamber must be first pumped away. The desired new gas of choice can then be injected into the chamber, and the system can be brought back into operation by reforming the “trimer” as described earlier. The usable overall lifetime of these emitters is typically of the order of many months when they are treated with reasonable care and attention.
Although in many ways operating a helium ion beam (HIM) microscope is similar to operating a conventional
\534 Chapter 31 · Ion Beam Microscopy
SEM, to fully optimize the performance of the HIM it is necessary to pay more attention to certain details. The ion source offers just two adjustable controls—the “extractor” which determines the field at the tip and so controls the emission of the source, and the “accelerator” which determines the landing energy of the beam on to the specimen surface. The extractor module “floats” on the top of the potential determined by the accelerator setting, and both the brightness and the stability of the ion source are affected by the extractor module settings. As the extractor potential is increased, the emission current rises before reaching a plateau at the so- called “best imaging voltage” (BIV), which for helium ions occurs at a field strength of about 44 V/nm depending on the geometry of the tip itself. Exceeding the BIV will make the beam less stable, and can result in so much damage to the
31 emitter that it may become necessary to reform the tip again before reliable operation can be restored. The “accelerator” control determines the actual landing energy of the ions on the specimen. For a He+ beam this energy is usually in the range 25–45 keV while for a heavier ion such as Ne+ the corresponding value is more typically in the 20–35-keV range. In either case the yield of secondary electrons increases with the accelerator setting, but continuous operation with the system at energies of 45 keV or higher may cause problems such as insulator breakdowns and discharges. It is therefore good practice to record and save all the experimental parameters likely to be encountered.
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31.3\ Signal Generation in the HIM
Energetic electrons and ions travel through solid materials while undergoing elastic and inelastic scattering events until they either deposit all of their initial energy and come to a halt, or are re-emitted from a sample surface and subsequently escape while generating secondary electrons and backscattered electrons or ions as they leave. Every such beam particle trajectory is unique and so it is not possible to predict in advance how deep, or how far, any particular incident ion or electron might travel. Examples of Monte Carlo simulations for ion beam trajectories are shown in
. Fig. 31.6.
The most probable depth reached by the beam, and the horizontal spread of the beam, can both be estimated using the formula developed by Kanaya and Okayama (1972) which assumes that the range R depends only on the incident energy E of the incident particle and the density ρ of the material through which the beam is traveling. The “K–O” range is then given as
RK−O = κ E p / ρ \ |
(31.2) |
where RK-O is the beam range (in nm), ρ is the density of the target material (in g/cm3), k is a constant depending on the choice of particle, i.e., electrons or ions, and P is a scaling constant. For example, when using a helium ion beam then
Ga+
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. Fig. 31.6 Monte Carlo ion beam trajectory simulations for various ion species. E0 = 40 keV
31.3 · Signal Generation in the HIM
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. Fig. 31.7 Plot of Kanaya–Okayama range for electrons and various ion species
κ = 80 nm, and P = 0.72, so the range versus density plot has the form shown in . Fig. 31.7 which also shows the corresponding RK-O for electrons. In the energy range most likely to be of interest, the majority of the emitted secondary signal under electron bombardment from any material of interest most likely comes from the SE2 component of the signal, i.e., it is generated by backscattered electrons as they exit through the sample surface with reduced resolution compared to the SE1 component produced by the incident beam. By comparison the beam range of He+ ions is not only much shorter than the corresponding electron range but also increases more slowly with energy. The iSE yield is typically three to five times larger than the comparable electron-excited SE values and mostly consists of the high resolution SE1 generated by the incident ion beam with little or no SE2 component to degrade the resolution. Secondary electrons have often been considered to be of limited value and for modest resolution use only, but recent work (e.g., Zhu et al. 2009) has shown that, to the contrary, the secondary electron signal is a uniquely powerful tool. The SE signal can efficiently capture and display imaging information ranging in scale from millimeters all the way down to single atoms, and even to the subatomic range, providing the incident beam footprint can be made small enough.
As shown by Bethe (1930, 1933) the generation rate N(SE) of secondary electrons by energetic ions or electrons depends on the instantaneous magnitude of the electron stopping power (−dE/dS) of the beam, so
N (SE ) = − (1 / ε ).(dE / ds) \ |
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where ε is a constant whose value depends on the target material, E is the instantaneous energy of the incident charged particle, and s is the distance travelled along the trajectory. The ion-generated SE yield is always larger than the corresponding SE yield from electrons because ions deposit their energy much more rapidly, and much closer to the surface, than electrons can do. The effect of changing the beam energy on the limiting imaging performance based upon the secondary electron yield is also different in the electron and ion cases. For an SEM operating in the conventional beam energy range above 10 keV, SE image quality does not improve very much with beam energy because the effect of increasing the beam brightness is mostly offset by the fall in the SE yield with increasing energy. For ion beams however, raising the beam energy increases both the yield of ions from the gun and the stopping power of the target which increases the generation rate of the iSE, both of which effects contribute to improved SE imaging performance.
Based on these ideas it is now possible to predict how the emitted yield of secondary electrons for a given material will vary for both ion and electron generation. The SE generation rate at a given depth in the sample varies as the stopping power at that point and which is in turn a function of the velocity of the incoming particle. Secondary electrons which are generated beneath the specimen surface must diffuse back to the surface before they can be detected. The yield of iSE which reach the surface and so could escape is then predicted to be
Yield = 0.5 exp (−z / λSE ) \ |
(31.4) |
where λSE is the appropriate mean free path range for secondary electrons, and z is the distance from the generation point to the nearest exit surface. Detailed predictions of iSE yields can now be made based on this model; see, for example, Ramachandra et al. (2009) and Dapore (2011). The magnitude, and the form, of the iSE yield curves varies with the energy of the incident beam, as shown in . Fig. 31.8 for Si, as well as with the choice of beam and target material. For a helium beam and a carbon target the iSE yield reaches a maximum value of about 4 which is achieved at a He + energy of 750 keV. For a gold target the iSE yield peaks at a value of 6.4 and at an energy of about 1000 keV. The details of these iSE yield curves vary with the choice of both the incident ion and the target material. For example, when using H+ as the beam of choice the iSE signal reaches its maximum yield of 1.7 at an energy of only about 100 keV, while for an Ar+ beam the iSE yield reaches its maximum yield, which is in excess of 50, at an energy of 30 MeV. Simulations make it possible to determine how to optimize resolution, maximize contrast, and minimize damage.
\536 Chapter 31 · Ion Beam Microscopy
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. Fig. 31.8 Yield of secondary electrons from Si for electrons and various ions as a function of energy
31.4\ Current Generation and Data
Collection in the HIM
A typical ion beam microscope operates at energies selected between 10 and 35 keV, and generates an incident beam current of the order of 0.1 pA to >100 pA at the specimen. These ions interact with the specimen of interest generating an iSE secondary electron signal which can be collected by an Everhart–Thornley (ET) detector very similar to that used in the conventional SEM. The signal is then passed through an “analog to digital” (A/D) convertor for real-time display and for storage. Because the incident ion beam currents are quite low, the A/D convertor, which samples the incoming iSE signal at a fixed repetition period of 100 ns, will likely completely miss many of these sparsely generated signal pulses. To overcome this problem, an additional image control labeled as “image intensity” (II) has been added to the familiar SEM brightness and contrast controls. This “image intensity” control allows the operator to choose between (a) the true averaging mode in which N successive A/D conversions are made and the total yield is then divided by N and (b) the true integration mode in which N successive A/D conversions are summed and that value is then reported, or any arbitrary setting between these two extremes. (J. Notte 2015, personal communication). The addition of this illumination control provides considerable additional imaging flexibility while ensuring that the usual “brightness” and “contrast” controls are still able to determine the overall appearance of the image.
In practice, operating the HIM is generally similar to operating an SEM, but the HIM achieves superior image resolution and contrast. The small beam probe diameter and the much enlarged depth of field together produce highly detailed images of even the most complicated three dimensional structures, as shown in . Fig. 31.9 for Ga-ion-beam etched directionally-solidified Al-Cu eutectic alloy. The
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. Fig. 31.9 High spatial resolution and high depth of field HIM imaging of Ga-ion-beam etched Al-Cu aligned eutectic alloy. Vertical relief approximately 5 µm. (Bar = 1 µm) (A. Vladar and D. Newbury, NIST)
limited penetration of the ion beam into materials provides highly detailed images of surface, and near-surface features are visible in HIM images that would likely never be evident in a conventional SEM image.
The strategy for operating the HIM is different than that of a conventional SEM because the incident beam energy is generally held fixed at the highest possible energy, typically in the range 30–40 keV, because this simultaneously optimizes both the signal-to-noise ratio and the image resolution. When there is a requirement to examine sub-surface detail this can best be achieved by exploiting the inevitable removal of surface layers by the ion beam as it “rasters” across the sample. Material can then be removed at the rate of a few tens of nanometers per minute, with images stored every few seconds to yield a full three-dimensional reconstruction of the sampled volume.
Charging is an inevitable problem for the HIM. The high SE coefficient of ion beams tends to cause positive charging at the surface, which is further exacerbated by the positive charge injected by the positive He+ ions. The simplest and most reliable technique to control such positive charging is to periodically flood the specimen surface with a very low energy electron beam so as to re-establish charge balance before starting the next scan, although this approach requires care to eliminate both underand over-compensation. An alternative approach is to inject air into the specimen chamber through a small jet positioned just a short distance away from the desired sample region. This is easy to implement and requires little supervision once an initial charge balance has been achieved.
The HIM operating mode equivalent to the familiar SEM “backscattered electron signal” is “Rutherford backscattered