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Demo for High Pressure X-Ray diffraction data processing with ATREX

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    Tutorialonprocessingofsinglecrystaldiffractiondataathigh

    pressureusingATREXIDLandRSV

    ByPrzemyslawDera,

    HawaiiInstituteofGeophysicsandPlanetology([email protected])

    DevelopmentofthissoftwareissupportedbyNSFGeoInformaticsawardEAR1440005

    TableofContentsInitialsetup................................................................................................................................................... 2

    Detectorcalibration...................................................................................................................................... 3

    Goniometersettings..................................................................................................................................... 8

    Peaksearch................................................................................................................................................. 12

    Peakindexinganddeterminationoforientation(UB)matrix.................................................................... 14

    Peakprediction........................................................................................................................................... 16

    Peakfitting.................................................................................................................................................. 18

    Pealpredictionandfittingforimageseries................................................................................................ 21

    Mergingofpeaksfromdifferentdetectorpositions.................................................................................. 23

    ScalingandrotationdependentintensitycorrectionsinATREX................................................................ 24

    ExportingSHELXhklfilewithstructurefactoramplitudes......................................................................... 26

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    InitialsetupStarttheprogrambydoubleclickingontheGSE_ADAicon(assumingthatIDLVMhasbeeninstalled

    correctly).

    ThedemodatasetwascollectedwithaMAR165CCDdetector,andthediffractionimagesweresavedas

    tifffiles.

    Select

    the

    correct

    (default)

    image

    format:

    Onmycomputer,afterdownloadingfromGitHub,thedemodataislocatedinthefollowingdirectory:

    C:\Users\przemyslaw\Documents\GitHub\GSE_ADA\Demo_data

    Selectoutputdirectory.Forthepurposeofthisdemowewillcreateanalysisfolderinthediffraction

    imagedirectory:

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    DetectorcalibrationOpenoneofthecalibrationimages.ForthisexperimentcalibrationdatawasrecordedforLaB6powder

    sample.Forthisdetectorthepixelsizeis0.079mm.Thewavelengthfortheexperimentwas0.3344A,

    andthedetectorwasplacedatanapproximatedistanceof200mm.

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    Thediffractiondataforthesamplewascollectedatthreedetectorpositions.Thefirstposition(file

    namescontainingD1)hastheincidentbeamhittingthedetectorclosetothegeometriccenterofthe

    image.TheremainingtwopositionsdifferedfromD1bytranslationofthedetectorinhorizontalplane,

    approximatelyperpendiculartotheincidentbeam,byabut70mmtotheright(filenamescontainingD2)

    andtotheleft(filenamescontainingD1).

    Youhavetocalibratethedetectorgeometryateachofthesethreedetectorpositionsfirst,inorderto

    beable

    to

    analyze

    the

    single

    crystal

    data.

    After

    you

    open

    adiffraction

    image,

    the

    program

    checks

    if

    thereisacalibration.calfileassociatewithit.Ifyouareopeningtheimageforthefirsttime,thereisno

    calibrationyet,sotheprogramwilldisplayadialogaskingyoutoselectoneandsaveitintheimage

    directory.Youcandothisafteryoucompletethecalibration.

    GototheCalibrationtab.Setthecorrectstartingvaluesofthedetectorparameter(pixelsize,

    wavelength,approximatedistance).TheTestbuttonallowsyoutoadjustandtestthesignaltonoise

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    ratioforautomatedselectionofpointsalongtheDebyeScherrerrings.Theprogramrequiresatleast8

    pointsalongaring,fortheringtobeusedintherefinement.Theimagebelowwasobtainedwiths/n

    ratioof2.0(thismeansthatpointswithintensity2xhigherthanlocalbackgroundwillbeused).Pixels

    thatsatisfythesignaltonoisearemarkedwithpurple,whereaspixelsthatbelongtoacceptablerings

    aremarkedwithblue.

    Thisshouldbesufficient,butifyouwanttousemorepoints,adjustthenumberbelowtheTestbutton

    to1.0,

    and

    click

    Test

    again.

    There

    are

    more

    points

    selected

    for

    refinement

    now,

    as

    shown

    below.

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    ClicktheRefinecalbutton.Theprogramgoesthroughthecalibrationcalculationsandwilldisplaythe

    dialogbelow,whenitisfinished.

    Afterthecalibrationrefinementiscompleted,theprogramdisplaysstandarddeviationsofallrefined

    parametersingreyboxesnexttotheparametervalues.ATREXcanuseoneoftwodefinitionsofthe

    calibrationparameters.Oneofthemisconsistentwithfit2d,thesecondusesanalternativedefinitionof

    therotationparameter.Thedefinitionoftheparametercanbeswitchedwithradiobuttons. Make

    surethatyoucalibrateanduseforfurthercalculationsconsistentlythesametypeofcalibration

    parameters.

    TocheckifthecalibrationworkedwellyoucanoverlaythecalculatedDebyeScherrerringsontothe

    diffractionimageofthecalibrantusingtheshowringscheckbox.Theavailablecalibrantsinclude

    CeO2andLaB6.

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    SavethecalibrationbypressingtheSavebuttoninCalibration.

    RepeatthecalibrationprocedurefortheD2andD3detectorpositions.Thewavelength,pixelsizeand

    approximatedistancearethesameforallthreedetectorpositons.ResultsofthecalibrationfortheD2

    detectorpostionareshowninthefiguresbelow.

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    GoniometersettingsItistimetolookatthediffractionimagesofthesamplenow.Beforeyoudothat,telltheprogramabout

    thesettingofthegoniometeryouused.Differentinstrumentsusedifferentdefinitionofpositive

    rotationdirection,anddifferentoffsets.AttheAPSsynchrotronbeamlines13IDDand13BMDhavethe

    rotationdirection

    consistent

    with

    ATREX,

    but

    use

    an

    offset

    of

    90

    deg.

    16IDB

    and

    166BMD

    use

    inverted

    rotationand0offset.13BMChasinvertedrotationand90degor90degoffset.Inputthecorrect

    settingsundertheGoniotabbeforeproceedingfurtherwiththeanalysis.

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    ATREXallowstoadjustthecontrastoftheimagedisplaybyselectingtwoparameters,minIandmaxI.In

    thedefaultinvertedgreyscalecolorschemeallintensitiesabovemaxIaredisplayedasblackandall

    intensitiesbelowminIarewhite,whereaseverythinginbetween isanappropriateshadeofgray.

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    Theimageaboveisalittledark.AdjustmaxIfrom1000to2000forbettervisibility.Theresultisshown

    below.

    Eachimageseries(seriesofimagefileswherethenamescontainconsecutive3digitsequencenumbers)

    sharesthesamedetectorcalibration.Toassigncalibrationtoanimageseriesmakesurethatthecorrect

    calibrationisloadedandsimplysaveit(usingSavebuttonintheCalibrationtab)withdefaultname

    proposedbytheprogram(itwillbesavedintheimagedirectory).Ifyouopenanyimagebelongingto

    thesame

    series

    again,

    ATREX

    will

    know

    which

    calibration

    to

    use.

    You

    will

    have

    to

    do

    it

    separately

    for

    eachindividualimageseries.

    Duringthedemoexperiment,weusedadiamondanvilcellequippedwithBoehler/Almaxdiamonds,

    with66deg.totalopeningangle.Thepressurewas7.8GPa,andthepressuretransmittingmediumwas

    He.Wecollecteddatainaseriesof1deg.stepsatdetectorpositionD1(filenames

    B1_Om_P4_C1_D1s_006.tiftoB1_Om_P4_C1_D1s_071.tif),onewiderotationimage,coveringthe

    whole66deg.atdetectorpositionD1(B1_Om_P4_C1_D1w_005.tif),andtwosetsoffour16.5deg.wide

    stepsfordetectorpositionsD2(B1_Om_P4_C1_D2s_140.tiftoB1_Om_P4_C1_D2s_143.tif)andD3

    (B1_Om_P4_C1_D3s_150.tif toB1_Om_P4_C1_D3s_153.tif).Thesampleinthisexperimentwasa

    naturalcrystalofomphacitepyroxenefromtheRRUFFcollection:

    http://rruff.info/omphacite/display=default/R061129

    Startbyassigningappropriatedetectorcalibrationstoeachoftheseries(itisenoughtoassign

    calibrationtojustoneimagebelongingtotheseries).

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    Duringthedatacollection,witheachdiffractionimagethedatacollectionprogramsavesanASCIIfile

    withimagesetting,thatcontainthestartrotationangle,rotationrange,exposuretime,etc.Youcansee

    intheScantabthatATREXreadsthesefilesandentersforyoutheappropriateinformation.This

    informationisalsoautomaticallypassedtothePredicttab,wherethesettingforcalculatingpeak

    positionsfromtheorientationmatrixaredefined.

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    Ifyourdatadoesnothavesettingfiles,ATREXwillallowyoutogeneratethemforeachimageseries,if

    youspecifytheappropriateinformationyourself.

    PeaksearchOpenoneofthestepimagesfordetectorpositionD1.InSearchtabselectthefitpeaksbutton.Click

    thePSSeriesbutton.Theprogramwillgothroughalloftheimagesbelongingtothestepscanseries

    andperform

    peak

    search

    and

    fitting

    in

    individual

    images.

    A

    peak

    table

    .pks

    file

    will

    be

    saved

    for

    each

    individualimageoftheseries.AttheendofthisprocessATREXwillmergeallofthepeaktablesintoone

    andalsosavetheresultingpeaktable.

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    Attheendofpeaksearchtheimageshouldlookssimilartotheoneinthefigurebelow.Peaksmarked

    withgreencoloraretheonesforwhichATREXcouldnotdoasatisfactorypeakfit.Startbyremoving

    thesepeaksbyclickingtheDeletebuttoninPeaks.

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    Theresultingmergedpeaktableisautomaticallyshouldbesavedinafile

    B1_Om_P4_C1_D1s__merge.pks

    Peakindexinganddeterminationoforientation(UB)matrixYoucandothepeakindexingandorientationmatrixdeterminationinRSV,likeinthepreviousversion

    ofthis

    IDL

    software,

    GSE_ADA/RSV,

    but

    ATREX

    now

    also

    has

    an

    interface

    which

    allows

    to

    launch

    cell_nowdirectly.TodothatgotoPredictandclicktheSimulatebutton.Indexingisavailableby

    clickingtheIndexbuttonintheDiffractionimagesimulationwindow.

    YouwillhavetotellATREXwhatisthelocationofthecell_now.exeexecutableonyourcomputer

    (cell_nowcanbeobtainedfromBrukerAXSorfromprof.GeorgeSheldrick).UsetheBrowsebuttonin

    thewindowbelowtoselectthefilelocation,andthenclickOK.

    ATREXlaunchescell_nowinthebackgroundandtakescareoftheinternaldialogs.Theresults(choices

    oftheunitcells)arecapturedanddisplayedinanewwindow,shownbelow.

    Thedemosample,omphacitehasamonoclinicbasecentered(Ctype)unitcell,soselectsolution

    number2fromthelist.Whenyoumaketheselection,ATREXrecognizesthemostlikelysymmetry

    (monoclinicwithbuniqueinourcase),butyoucanoverridetheautomatedselection.ClicktheSelect

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    button. Theprogramperformsasimplerefinementoftheorientationmatrixandselects(markedwith

    greencolor)peaksthatdonotconformtotheorientationmatrix.Theresultsareshowninthefigure

    below.Therearequitealotofpeaksthatwerenotindexedcorrectly,butitisok.Werunthepeak

    searchwithhighsensitivitysoinadditiontothesamplepeaks,therearediamondpeaksand afewdark

    currentnoisepeaksaswell.

    TheorientationmatrixandlatticetypeyouselectedwerepassedtotheSimulationwindow:

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    PeakpredictionOpenthewiderotationimagefordetectorpositionD1.Ithasallofthesamplepeaksaccumulated,and

    youcanuseittoverifyifyourorientationmatrixissatisfactory.ChangetheDownstr.DACopeningto

    33deg.,whichwasthecaseforthisdemoexperiment.Deleteallthepeaks(ClearbuttoninPeaks

    tab),andclickGenerateinthesimulationwindow.Theresultshouldlooklikeinthefigurebelow.

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    Allsamplepeaksarecorrectlypredictedusingtheorientationmatrixwehave.Insomecaseswithlarge

    unitcellssomepredictedpeaksaresoclosetogetherintheimagethatreliablefittingisnotpossible.

    ATREXwillidentifysuchcasesandselecttheoffendingpeaks(withgreen)foryou.Ifanypeaksare

    markedwithgreen,afterexecutingthegeneratefunction,removethembeforeproceedingfurther

    (forthisdemodatasetthereshouldnotbeanytooclosespecialoverlaps).

    WewillusethewiderotationimageatD1insteadofthesmall1deg.steps fordeterminationofpeak

    intensities,because

    the

    signal

    to

    noise

    is

    high,

    there

    are

    no

    problems

    with

    spatial

    overlaps,

    and

    the

    wide

    imageisfreefromthesynchronizationerrorsthatstepimagescollectedquicklysometimessuffer.

    Thenextstepistofilteroutunobservedpeaks.ThisisdoneinthePeakstabbyclickingthe

    Observedbutton.Thenumbertotherightofthebuttondeterminestheminimumintensitycount

    abovebackgroundwithin5x5pixelregionaroundthepredictedpeakpositionthathastobesatisfiedfor

    thepeaktoberecognizedasobserved.Thisdatawascollectedwithgoodstatistics,soletsusea50

    countthreshold.Theresultoffilteringofunobservedpeaksisshownbelow.Removetheselectedpeaks

    (DeletebuttoninPeaks).

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    PeakfittingThenextstepispeakfitting.Makesurethatthefittingboxsize(numbertotherightofBoxlabelin

    peaks)isappropriate.Forthedemodatathedefaultboxsizeof8(thisparameterisaboxradius,so

    therealfittingboxis17x17pixels)isok,thoughforotherdatasets,particularlycollectedathigher

    pressures,where

    peaks

    are

    broader

    you

    may

    need

    to

    make

    this

    number

    larger.

    Click

    on

    couple

    of

    peaks

    inthepeaklist,andseeifthepeakprofilesfitwellwithinthefittingbox.Youcanseetheresultofthe

    fittinginthethreegraphicalwindowsonthebottomrightsideofthePeakstab.Theycorrespondto

    thezoomoftheactualimage,fittedprofileandtheresidualintensity(imagefittedprofile).

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    ATREXoffersabuiltincBNbackingplateabsorptioncorrection,butthedemodatasetwascollectedina

    DACwithoutacBNseat,sowehavetodisablethiscorrectioninIntegrate/Corrections,likeshown

    below.

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    Ifyouaresatisfiedwiththeboxsize,selectthecorrectLaueclassforyourcrystal(2/mforomphacite)

    andclickthePeakfitbuttoninPeaks.Fittingofthe~300peaksonmydesktopcomputertakes

    about30seconds.AttheendATREXselectsagainwithgreenthepeaksforwhichaconvincingfitting

    convergencewasnotachieved.Removethesepeaks(DeletebuttoninPeaks).

    Afterthefittingandremovalofbadpeakstheinternalconsistencyfactorforallthepeaksinthisimage

    shouldbearound11%(beforeweremoveoutliersandapplycorrectionforthecrystalmotioninthe

    beam).

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    Savetheresultsofthefittingina.pksfile(IjustoverwritetheB1_Om_P4_C1_D1s__merge.pksfile).We

    havetoprocesstheremainingtwodetectorposition.OpenoneofthewidestepimagesatD2.Make

    surethecorrectcalibrationissavedforthisfileseries.

    PeakpredictionandfittingforimageseriesTheorientationofthecrystalforthisdetectorpositionisjustthesameasforD1.Wewilluseafeature

    ofATREXwhichpredictspeaksinafileseriesandprocessesthewholeseriesautomatically.Totrigger

    thisfunctiongotoScanandclickthePredictwholeseriesbutton.ATREXdoespredictionofpeakin

    eachimage,filteringofunobservedpeaks,peakfittingandremovalofbadfits,aswellasmergesthe

    peaksfromallstepsattheend.ThefinalresultforD2isshownbelow.Theresultsarewrittenintoafile

    .pksB1_Om_P4_C1_D2s__merge.pks.

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    RepeatthisoperationfortheD3images.TheresultsforD3areshownbelow.

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    MergingofpeaksfromdifferentdetectorpositionsNextstepismergingofthepeaksfromallthreedetectorpositions,whichisdoneinRSV.

    DuringthedatacollectionatD1thesamplerotationwastwotimesfasterthanatD2andD3because

    theoffsetdetectorpositionscontainmainlyweaker,highanglepeaks.Tomergethedatacorrectlyyou

    haveto

    open

    the

    three

    .pks

    file

    and

    select

    appropriate

    scale

    factors

    in

    RSV.

    Make

    sure

    that

    the

    scale

    factorissetto1andopentheD1file.Changescalefactorto0.5(thespeedwasslower,sothe

    intensitieshavetobedividedby2tobringthemtothesamelevelasD1).Selecttheappendoption.

    Keepscalefactorat0.5andopentheD3file.Again,selectAppend.

    Thereshould

    be

    about

    790

    peaks

    in

    the

    three

    combined

    files.

    Go

    to

    Index/Index

    and

    click

    Recalc.

    UB.ThiswillcalculatetheorientationmatrixfromtheMillerindicesandCartesiancoordinatesof

    reciprocalvectors.

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    GotoRefineandselectappropriatesymmetryconstraint(monoclinicbuniqueforthiscrystal).Click

    onRefinew/dspcseveraltimes.GotoFilterandlookattheerrorplot.Therearefewpeaksthat

    clearlyseemtobeoutliers. Thedefaultlimitsindspacingforrecognizingoutliersarespecifiednextto

    Dd/dbutton.Youcanchangethese,ifnecessary,andclickonDd/dtomakeanewselection.Forthe

    demodatasetthedefaultvaluesshouldbeOK.Deletetheoutlayerpeaks(DeleteselectedinView).

    Savetheresultingmergedpeaktable(SaveasinFile).Youwillneedtocreateanew.pksfileforthis.

    IcalledmyfileB1_Om_P4_C1_D123s__merge.pks.

    ScalingandrotationdependentintensitycorrectionsinATREX

    Openthe

    new

    file

    in

    ATREX

    (Open

    in

    the

    Peaks

    tab).

    There

    should

    be

    ~779

    peaks

    showing

    R_int

    of

    12.5%.

    GotoIntegrate/Scaleandclickthescalebutton.Theplotbelowshowsrotationangledependence

    ofindividualmeasurementofpeakintensityvs.averageintensityforeachgroupofsymmetry

    dependentpeaks.Thereareclearlyfewoutlier.Clicktheselectbutton,andadjusttheselectionlimits

    (textboxesbelowSelectifnecessary).Deletetheselectedoutliers.

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    ClickScaleagain.Youcanseethatthereisaslightslopeofthedependenceandtheprogramfitsa

    polynomialcurvethataccountsforthecrystalmovinginthebeam.ClickApplyscaleandScaleagain.

    TheslopedependencehasbeencorrectedandtheR_intdroppedto0.0646.

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    ExportingSHELXhklfilewithstructurefactoramplitudesSavetheresultingpeaktable(e.g.overwritethepreviousfile).OpenthefileinRSV.Save.hklSHELXfile

    usingExporthklbuttoninFile.Ifyouaregoingtorefinethestructureusingamodelthatyou

    downloadedfromadatabase,youhavetomakesurethatthesettingoftheunitcellinRSVisconsistent

    withthesettingofyourmodel.Foromphacitethisshouldbethecase(theaunitcellparameteris

    >9A,the

    Lattice

    type

    is

    C

    and

    the

    beta

    angle

    is

    ~106

    deg.).

    The

    structure

    refinement

    procedure

    is

    describedinaseparatetutorial.


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