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1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers University of Technology EDX Energy Dispersive X-ray analysis Mats Halvarsson Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers University of Technology Image information Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers University of Technology EDX spectrum

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Page 1: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

EDX

Energy Dispersive X-ray analysis

Mats Halvarsson

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Image information

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

EDX spectrum

Page 2: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

K lines

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

L lines

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

X-ray production

EK

EL

EM

K

L

Mvacuum

energy shell

12 E(Ka) = EK-EL

X-ray

3

0Note E>EK neededE> E(Ka) not enough

Page 3: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Over voltage

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Over voltage

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

K, L, M lines

Page 4: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Nomenclature

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Transitions

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Fluorescence yield of X-rays

• w+a=1

• w - X-rays• a - Auger electrons

• light elementsfew X-rays

Page 5: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Auger electrons

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Auger spectroscopy

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Cupper

Page 6: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

K line ratios

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Bremsstrahlung

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Dysprosium

Page 7: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

SEM / EDX

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

EDX system

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

EDX system

Page 8: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Si detector

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Instrumentation

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Window transmission

Page 9: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Oil

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Low-energy tailing

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Artefacts

Page 10: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Ice build-up

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Backscattering artefact

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Absorption

Page 11: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Electron trap

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

EDX spectrum

• Characteristic peaks– For identification and quantification– 3.8 eV/electron-hole pair

• Bremsstrahlung• Escape peaks

– E-1.74 keV• Si extra peak

– From detector

• Sum peaks– 2 photons

• Low energy tailing– Dead layer

• Illumination artefacts

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Generation and emission

Page 12: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Copper generated

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Copper detected

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Absorption

Page 13: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Spectrum absorption

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Generation and detection - summary

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

10 and 20 kV

Page 14: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

30 kV

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

EDX

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Acceleration voltage

Page 15: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Acceleration voltage

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Electron range

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Different materials

Page 16: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Interaction volume

3 g/cm3 10 g/cm3

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Different materials

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

X-rays in Cu-Al

Page 17: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

X-ray generation and emission

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Quantification - 1st approximation

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

ZAF correction

Page 18: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

ZAF correction

• Z - atomic number– Stopping power dE/(ρ dx)– Backscattering η

• A - absorption– I = Io exp{- C (µ/r) (rz)}

• F - fluorescence– ∆E ≤ 5 keV

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Stopping power 20 kV

SP =1ρ

dEdx

ρ densityx depth

SP higher for low Z

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Quantification - ZAF

• Remove background• Measure peak areas• Compare with standard• Calculate apparent concentration• Calculate ZAF factor• Calculate concentration with ZAF• Iterate until stable

Page 19: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Background

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Top hat filter

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Filtering

Page 20: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Example: Au-Cu

Cu+Au Cu

Too high Cu is measured

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

ZAF correction

• Z– Stopping power is higher in standard– Backscattering higher in specimen

- less x-rays produced

• A– Abs of CuK is less in standard

I(CuK(std)) > I(CuK(spec))• F

– CuK can be generated by AuLI(CuK(std)) < I(CuK(spec))

Cu+Au Cu

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

ZAF correction

• Z(Cu) = 0.893Z(Au) = 1.24

• A(i), F(i) < 2%

• In this case Z correctionhighest

Page 21: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

WDX – Wavelength Dispersive X-ray spectroscopy

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

WDX spectrum

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Peak overlaps

Page 22: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

WDX features

• Micro-analysis approximately 10x more sensitive than EDS– trace element analysis (down to below 0.1%)

• Spectral resolution ~ 10 eV– separation of overlapping peaks– accurate peak ID

• High sensitivity for light element detection

• Improved P/B X-ray mapping

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

The main components of a WDX spectrometer are:

– Diffracting Crystal– Entrance Slit– Detector or Counter

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Theory

• Technique measures wavelength of characteristic X-ray emission to identify constituent elements

• From the number of X-rays collected the amounts of these elements can be determined (quant)

• X-rays characteristic of different elements are separated by X-ray diffraction using a crystal of known lattice spacing d

• The angle of diffraction needed to collect X-rays of a particular wavelength is predicted using Bragg’s Law

Page 23: EDX Energy Dispersive X-ray analysisfy.chalmers.se/~f10mh/Halvarsson/EM_intro_course_files/04_SEM_E… · 1 Mats Halvarsson Materials Microstructure • Dept. of Physics Chalmers

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Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

Theory

n: a whole number multiple that indicates the diffraction orderl: the wavelength of the X-ray that will be diffractedd: the interatomic spacing for the diffracting crystalq: the angle at which diffraction is occurring; i.e., the angle between the

crystal planes and the diffracted X-ray

d

q

l

qq

nl=2d sinq

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

OperationDue to limitations in achievable movement a number of diffracting crystals is needed to cover element range

Crystal Crystal Crystal 2d A Analyzing Analyzingdesignation type focusing spacing range A, range, K-lines

LIF(200) Lithium fully 4.0267 1.1436-3.7202 Ca-AsFluoride

PET Pentaerythritol fully 8.74 2.4827-8.0765 Si-V

TAP Thallium acid fully 25.75 7.3130-23.79 O-Alphthalate

LSM-060 W-Si multilayer semi ~61 ~17- ~56 C-F

LSM-080 Ni-C multilayer semi ~78 ~22- ~72 B-O

LSM-200 Mo-B4C multilayer semi ~204 ~58- ~90 Be-B

Mats Halvarsson Materials Microstructure • Dept. of Physics

Chalmers University of Technology

WDX detector