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    EBS 325Analytical Chemistry Laboratory

    Introduction To X-Ray Analysis

    By

    Mr. Samayamutthirian Palaniandy

    School of Materials & Mineral Resources Engineering,

    Engineering Campus, Universiti Sains Malaysia.

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    SAMPLING

    &SAMPLE

    PREPARATION

    XRFXRD

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    SAMPLING

    SAMPLE

    PREPARATION

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    Papers

    Plastics

    Glass

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    X-RAY analytical errors

    Sampling

    Sample preparation

    Instrumental

    Standards

    Statistical

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    SAMPLE

    A means by which units are taken from a

    population in such a way as to represent the

    characteristics of interest in that population.

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    homogeneous.Well-mixed

    random

    accuraterepresentative

    The equipment does

    what we want.Our sampling

    frequency is fine.

    FAQ about samples and sampling

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    Reasons for poor procedures,

    equipment, and practices of

    SAMPLING.

    Lack of knowledge of the consequences of poor

    sampling.

    Lack of knowledge of the sampling theory.

    Trying to save money.

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    Questions to be answer

    before sampling

    WHAT is being sampled?

    WHY is the sample being taken?

    WHO is taking the sample?

    WHERE is the sample taken?

    WHEN and with what frequency is the sample

    taken?

    HOW is the sample taken?

    HOW MUCH material is in the sample?

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    EXAMPLES OF SAMPLING METHODS

    Coning &

    quartering

    Riffle

    splitter

    Paper coneriffle splitter

    Grab

    sampling

    Fractionalshoveling

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    CONING AND QUATERING

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    RIFFLE SPLLITING

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    PAPER CONE RIFFLE SPLITTER

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    Fractional Shoveling

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    Grab Sampling

    Consist of taking a sample using scoop or spatula

    by simply inserting the sampling device into the sample

    container and removing an aliquot

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    Sample Mixing Flowing Liquids or Gases

    A static mixer can reduce the Groupingand Segregation Error.A correct cross stream

    sample may be

    impossible to obtain.

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    Precision of Sub-sampling Methods

    Gerlach, Dobb, Raab, and Nocerino, 2002 Journal of Chemometrics Gy Sampling in

    experimental studies. 1. Assessing soil splitting protocols 16, 321-328

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    Your decisions are only as good as your

    samples.

    Your samples are only as good as your

    sampling systems.

    Your sampling systems are only as

    good as your audit and assessment.

    Summary

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    X-RAY analytical errors

    Sampling

    Sample preparation

    Instrumental

    Standards

    Statistical

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    Analytical errorssampling

    - Sample must be representative of theprocess

    - Sampling must be reproducible (i.e.should be able to take identical duplicatesamples)

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    Sample preparation methods

    must

    Simple

    Low cost

    Rapid

    Reproducible

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    The quality of sample preparation is at least asimportant as the quality of the subsequentmeasurements.

    Quality of sample preparation

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    Quality of sample preparation

    An ideal sample would be:

    - Representative of the material

    - Homogenous

    - Of infinite thickness

    - Without surface irregularities

    - With small enough particles for the

    wavelengths being measured

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    SAMPLES

    METAL POWDER LIQUID

    XRF onlyXRD and XRF

    Why???

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    XRD Working Concept

    When a monochromatic x-ray beam with wavelength is incident on the

    lattice planes in a crystal planes in a crystal at an angle , diffraction occurs

    only when the distance traveled by the rays reflected from successive planes

    differs by a complete number n of wavelengths. By varying the angle , the

    Braggs Law conditions are satisfied by different d-spacing in polycrystalline

    materials. Plotting the angular positions and intensities of the resultant

    diffraction peaks produces a pattern which is characterised of the sample.

    Where a mixture of different phases is present, the diffractogram is formed by

    addition of the individual patterns.

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    XRF Working Concept

    In X-ray fluorescence spectroscopy, the process begins by exposingthe sample to a source of x-rays. As these high energy photons strike

    the sample, they tend to knock electrons out of their orbits around the

    nuclei of the atoms that make up the sample. When this occurs, an

    electron from an outer orbit, orshell, of the atom will fall into the shell

    of the missing electron. Since outer shell electrons are more energetic

    than inner shell electrons, the relocated electron has an excess ofenergy that is expended as an x-ray fluorescence photon. This

    fluorescence is unique to the composition of the sample. The detector

    collects this spectrum and converts them to electrical impulses that

    are proportional to the energies of the various x-rays in the samples

    spectrum.

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    METAL

    CHIPS POLISHING SOLUTION

    REMELT

    CAST

    BELT GRINDER/LATHE

    INGOT

    LIQUID

    X-RAY ANALYSIS

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    POWDER

    GRINDING FUSION SOLUTION

    PELLET

    GLASS BEAD LIQUID

    X-RAY ANALYSIS

    PRESS

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    LIQUID

    LIQUID HOLDERDROP METHOD

    SPOT ANALYSISDDTC METHOD

    FILTER

    X-RAY ANALYSIS

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    Solids

    Pressed powdersFused beads

    Liquids

    Sample types

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    - metal alloys, plastics & glass

    - relatively easy to prepare by cutting, machining,milling % fine polishing

    - Avoid smearing of soft metals (e.g. Pb)- Polishing may introduce contamination from the

    polishing material

    - do not have particle size problems

    - Surface needs to be flat- Surface needs to be homogeneous

    - Surface defects are more critical for light elementsif good accuracy is required.

    Solids

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    - Typical samples types that are prepared as pressed powders include rocks,soil, slag, cements, alumina, fly ash, etc.

    - Particle size of powder needs to be controlled for light element analysis- If necessary, powders are ground to achieve a particle size of < 50 m

    - Grinding can be introduce contamination (e.g. Fe from a chrome steel mill)

    - Binding agents (e.g. wax or cellulose) can be used to increase samplestrength to avoid breakage in the spectrometer

    - Ground powders are pressed into a solid tablet under pressure using a

    hydraulic press & 40 mm die- Relatively slow method (5 minutes per sample) but relatively low cost

    - Pressed powders suffer from particle size problems for light elements

    Preparation equipment needed includes:

    - Grinding mill and vessel (chrome steel, zirconia, tungsten carbide, etc.)

    - Hydraulic press and die (usually 40 mm)- Binding agents

    Pressed powders

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    - Typical samples that are prepared as fused beads include rocks, cements,iron ores, etc. when higher accuracy is required.

    - Weighed sample is mixed with flux

    - Sample and flux are melted at 1000 oC

    - Melt is poured into a 40 mm mold

    - Bead surface needs to be homogenous (constant color without cracks)

    - Slow (10-15 minutes/sample)

    - High cost- Important benefit is that particle size problems disappear (fusion process

    results in a homogeneous glass)

    - An additional benefit is that the melting flux (usually Na or Li borate)dilutes the sample, reducing matrix variations, resulting in higher accuracy

    - Disadvantagereduced sensitivity for trace elements

    Preparation equipment includes:

    - Fusion device (manual or automatic)

    - Pt/Au crucible(s) & mould(s)

    - Fusion (melting) flux

    - A non wetting agent (e.g. KI or LiBr) is sometimes used to help produce a

    better quality bead and to assist with cleaning the Pt/Au crucible & mouldbetween samples

    Fused beads

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    - Typical samples include environmental (waters, mud) &oils

    - Easiest to prepare

    - Should have a constant volume that exceeds maximumpenetration depth

    - Sample is poured into a liquid cell fitted with a thin plasticwindow

    - Range of window materials to suit different liquids

    - Fill to a constant height (e.g. 20 mm) to avoid errors fromvariable depth

    - Choose the correct thickness and material to suit thechemistry of the sample being measured

    - Na is lightest element that can be detected in liquids.

    Liquids

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    element Chemical % XRF % XRF %

    Powder Fused bead

    Na (Z=11) 0.43 0.36 0.46

    Si (Z=14) 63.63 62.90 63.80

    Ca (Z=20) 0.68 0.68 0.67

    Ba (Z=56) 0.27 0.28 0.28

    Influence of sample preparation

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    Factor of errors in Sample Preparation

    Grain size and surface roughness

    Uniformity of sample

    Contamination through the sample preparation

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    Grain size and surface roughness

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    Uniformity of sample

    Metallic Sample

    Casting condition of the sample in the molding.

    Sand molding

    Metal molding

    X-ray intensities differ according to the molding method which comes

    In the measurement of light elements.

    Quenching casting which makes the metallic composition fine produces good results

    Sample polishing

    NiK intensity CrK intensity

    50# emery paper 0.686 0.974

    100# emery paper 0.699 0.983

    240# emery paper 0.704 0.989

    Mirror polishing 0.709 0.993

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    Uniformity of sample

    Contamination during polishing

    Contamination effect when carbon steel and Ni-Cr alloy polish afterpolishing stainless steel.

    As the contamination form the polishing belt to the sample, the re contamination from

    The material of the polishing belt and from the remaining trace elements of polished

    Sample.

    Ni Cr Fe

    % Conc 0.55 0.21 2.10

    % Contamination 0.05 0.03 0.38

    Powder Sample

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    Powder SampleGrinding Condition

    Different grinding condition cause variation in particle size distribution which

    leads to variation in X-Ray intensity.

    Powder Sample

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    Powder SampleBrequetting

    Usual forming pressure 20 tons with 40mm diameter.

    X-Ray intensities varies with variation of forming pressure (especiallywhen pressure is low).

    Contamination

    Contamination from the grinding mill and media

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    CaO,CaCO3,CaMg(CO3)2Ca(OH)2 etc.

    If you are givenwith four bottles of

    white powder.

    What will you doto identify them?

    Identification

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    What is X-ray diffraction?

    non-destructive analytical technique for

    identification and quantitative determination

    of the various crystalline forms, known asphases.

    Identification is achieved by comparing theX-ray diffraction pattern

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    Diffractograms and ICDD Card

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    What is X-ray diffraction?

    XRD able to determine :

    Which phases are present?

    At what concentration levels?

    What are the amorphous content of thesample?

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    How does XRD Works???

    Every crystalline substanceproduce its own XRD pattern,which because it is dependenton the internal structure, is

    characteristic of that substance.

    The XRD pattern is oftenspoken as theFINGERPRINT of a mineralor a crystalline substance,

    because it differs from patternof every other mineral orcrystalline substances.

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    A crystal lattice is a regular three-

    dimension distribution (cubic,

    tetragonal, etc.) of atoms in space.

    These are arrange so that they form

    a series of parallel planes separated

    from one another by a distance d,

    which varies according to the

    nature of the material. For any

    crystal planes exist in a number of

    different orientations- each with its

    own specific d-spacing

    Crystal lattice

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    Fourteen (14) Bravais Lattice

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    How does it work?

    Diffraction

    Braggs Law

    n=2dsin

    When a monochromatic x-ray beamwith wavelength is incident onthe lattice planes in a crystal planesin a crystal at an angle ,diffraction occurs only when thedistance traveled by the raysreflected from successive planes

    differs by a complete number n ofwavelengths.

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    How does it work?In powder XRD method, a sample is ground to a

    powder (10m) in order to expose all possibleorientations to the X-ray beam of the crystalvalues of, dand for diffraction are achievedas follows:

    1. is kept constant by using filtered X- radiationthat is approximately monochromatic. (SeeTable 1).

    2. d may have value consistent with the crystalstructure (See Figure 5).

    3. is the variable parameters, in terms of whichthe diffraction peaks are measured.

    T bl 1 M h ti X filt

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    Table 1: Monochromatic X-ray filters

    Basic Component Of XRD Machine

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    Basic Component Of XRD Machine

    Therefore any XRD machine will

    consist of three basiccomponent.

    Monochromatic X-ray source

    (

    )

    Sample-finely powdered or

    polished surface-may be

    rotated against the center

    (goniometer).

    Data collector- such as film,

    strip chart or magnetic

    medium/storage.

    By varying the angle , the Braggs Law

    conditions are satisfied by different d-

    spacing in polycrystalline materials.

    Plotting the angular positions and

    intensities of the resultant diffraction

    peaks produces a pattern which is

    characterised of the sample

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    Angle

    (2)

    d-value()

    Rel. Int.(I)

    27.47 3.244 26

    27.82 3.204 49

    28.45 3.135 100

    44.87 2.018 2

    46.68 1.944 30

    47.11 1.928 64

    55.88 1.644 41

    68.89 1.362 6

    76.12 1.250 10

    83.19 1.160 1

    87.74 1.112 10

    92.49 1.067 1

    94.68 1.048 13

    94.99 1.045 6

    106.44 0.962 2

    106.78 0.960 1

    113.81 0.920 5

    114.26 0.917 2

    127.24 0.860 4

    127.82 0.858 2

    Table 1: Typical experimental XRD data

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    Design and Use of the Indexes for

    Manual Searching of the PDF

    Three search methods are used in the

    indexesi.e.

    The alphabetical index;

    The Hanawalt index

    The Finkindex.

    The Alphabetical Index

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    p

    The Alphabetical Index

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    The Alphabetical Index

    Figure 3: Schematic search procedure when

    chemical information is known

    Hanawalt Method

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    Hanawalt Method

    The Fink Method

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    The Fink Method

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    XRF

    X-Ray Fluorescence

    is used to identify and measure the

    concentration of

    elements in a sample

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    XRF instrumental parameters

    x-ray tube kv

    x-ray tube mA

    primary beam filters

    collimator masks

    collimator

    crystal

    detector

    path

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    user benefits of wavelength

    dispersive XRF versatile

    accurate

    reproducible

    fast

    non destructive

    XRF i til

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    XRF is versatile

    element range is Be to U

    atomic numbers (Z) of 4 to 92

    concentration range covers0.1 ppm to 100 %

    samples can be in the form of

    solids, liquids, powders or fragments

    XRF i t

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    XRF is accurate

    generally better than 1 % relative

    (i.e. 10% 0.1%)

    accuracy is limited by calibration

    standards, sample preparation,

    sample matrix, sampling,instrumental errors & statistics

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    XRF is reproducible

    generally within 0.1% relative

    good reproducibility requires high

    quality mechanics, stable electronics

    and careful construction techniques

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    XRF is fast

    counting times generally between 1

    & 50 seconds for each element

    semi-quant analysis ofall matrix

    elements in 10 to 20 minutes

    overnight un-attended operation

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    XRF is non-destructive

    standards are permanent

    measured samples can be stored and

    re-analysed at a later date

    precious samples are not damaged

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    properties of x-rays

    the following four slides list some

    of the more important properties

    of x-rays that contribute to the

    nature of XRF analysis

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    XRF analytical envelope

    the following section describes the

    five major areas that define theanalytical possibilities available with

    wavelength dispersive XRF

    spectrometers

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    XRF analytical envelope

    elemental range

    detection limitsanalysis times

    accuracyreproducibility

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    elemental range

    beryllium (4) to uranium (92)

    in solids

    fluorine (9) to uranium (92)

    in liquids

    range of elements in solid samples

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    range of elements in solid samples

    are shown in green (Be to U)

    range of elements in liquid samples

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    range of elements in liquid samples

    are shown in green (Na to U)

    detection limits (LLD)

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    detection limits (LLD)

    function of atomic number (Z) & themix of elements within the sample

    (sample matrix)< 1 ppm for high Z in a light matrix

    (e.g. Pb in petrol)

    or > 10 ppm for low Z in a heavy

    matrix (Na in slag)

    XRF applications summary

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    XRF applications summary

    Na to U in all sample types Be to U in solid samples

    accuracy generally 0.1 to 1 % relative

    reproducibility typically < 0.5% relative

    typical LLD is normally 1 - 10 ppm

    (depends on element being measured andthe sample matrix)

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    XRF errors

    the following section describes

    major source of errors in XRFanalysis, and investigates how

    these errors can be minimized to

    achieve maximize accuracy

    overview of XRF methodology

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    overview of XRF methodology

    good accuracy requires careful sample preparation

    fused beads for light elements

    accurate standards selection of optimum instrument

    parameters

    collection of enough counts to avoidstatistical errors

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    Methods of Analysis

    the following presentation

    describes the requirements for

    quantitative and semi-quantitative

    analysis

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    overview of XRF methodology

    the objective of XRF is to determine

    as accurately as possible the

    composition of unknown samples

    measured x-ray line intensities are

    converted to concentrations using anappropriate algorithm

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    overview of XRF methodology

    each specific application needs to

    be looked at in detail to

    determine which method will be

    the most appropriate

    XRF analytical methods

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    XRF analytical methods

    the atomic number (Z) of each of theelements to be determined will have

    an influence on the type of samplepreparation to be used, and the

    quantitative or semi-quantitativemethod that will be the most suitable

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    XRF analytical methods

    the quantitative method is the

    most accurate, but requires calibration

    standards

    semi-quantitative method is less

    accurate, but does not requirestandards

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    overview of XRF methodology

    first determine the following:

    which elements are to be measured

    what are their concentration ranges what accuracy is required

    how many samples are to be measured are suitable standards available

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    overview of XRF methodology

    elements to be measured

    low Z will require careful preparation

    low Z may have lower accuracy low Z may require fusion of powders

    semi-quant does not measure the verylight elements (Be to N)

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    overview of XRF methodology

    concentration ranges

    as the concentration range for each

    element increased, accuracy

    generally decreases

    large concentration ranges willrequire more standards

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    overview of XRF methodology

    good accuracy requires

    careful sample preparation

    fusion of powder samples for Z 13

    longer analysis time

    accurate calibration standards

    careful selection of each variableinstrument parameter

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    overview of XRF methodology

    calibration standards

    require the same sample preparation

    as unknown samples accurate chemical analysis

    need to cover concentration ranges mechanically stable

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    XRF applications summary

    Na to U in all sample types

    Be to U in solid samples

    accuracy typically 0.1 to 1 % relative

    typical LLD is between 1 - 10 ppm

    i t ( t d dl l i )

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    semi-quant (standardless analysis)

    accuracy is limited by

    particle size

    inhomogeneity

    non-measured elements (H to N)

    i t ( t d dl l i )

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    semi-quant (standardless analysis)

    accuracy of the semi-quantitative

    method can be as good as 1%

    relative; typically accuracy is

    between 5% and 10%

    quantitative analysis

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    q y

    calibration graph (x-ray intensity v/s %

    element) is established for each

    element that is to be measured

    measure unknowns using the

    established calibrations

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    quantitative analysis - calibration

    for a single element (a), the

    concentration C is a function f of the

    intensity I

    Ca = fa x Ia

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    quantitative analysis - calibration

    for multiple elements (a & b) in a

    sample matrix, the concentration is

    related to both a & b:

    Ca = f(Ia,Ib) or Ca = f(Ia, Cb)

    i i l i lib i

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    quantitative analysis - calibration

    the object is to obtain the best fit ofexperimental data to a given algorithm

    e.g. method ofleast squares fitting(CchemCcalculated)

    2 = minimum

    where = sum from all standardsand C = concentration

    i i l i lib i

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    quantitative analysis - calibration

    XRF software typically includes several

    quantitative methods. The most

    simplistic method is a straight line

    calibration where matrix (orinter-

    element) effects are absent

    Soalan Pramakmal

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    1. Nyatakan 5 punca kesalahan analitikal analisis X-Ray.

    2. Takrifkan sampel.

    3. Apakah punca prosedur pensampelan yang lemah?4. Nyatakan 5 perkara yang mempengaruhi kualiti penyediaan

    sampel yang ideal.

    5. Terangkan prinsip kerja XRD.

    6. Terangkan prinsip kerja XRF.

    7. Berikan 5 contoh kaedah pensampelan.

    8. Terangkan cara penyediaan fusebeads.

    9. Nyatakan faktor kesilapan dalam penyediaan sampel yang

    mempegaruhi analisis X-Ray.

    10. Apakah maklumat yang boleh diperolehi daripada keputusanXRD.

    11. Tuliskan persamaan Bragg.

    12. Nyatakan komponen asas dalam mesin XRD.

    S l P k l

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    Soalan Pramakmal

    13. Nyatakan 3 kaedah pencarian index unsur dengan manual PDF.14. Apakah perbezaan kaedah Hanawalt dan Fink?

    15. Lakarkan carta alir kaedah Fink.

    16. Lakarkan carta alir kaedah Hanawalt.

    17. Nyatakan julat no. atom yang boleh dikesan dengan kaedah XRF

    pada sampel pepejal dan cecair.

    18. Apakah kaedah penyediaan sampel yang baik untuk unsur yang

    mempunyai no. atom yang rendah.

    19. Kejituan keputusan XRF dipengaruhi oleh 3 faktor. Nyatakan

    fator-faktor itu.20. Apakah itu LOI?