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【正文】 le Reference Frame for Orientations?tolinesonphysicalusespatialasondiagramthe(whichNOTnormal,arrangementaxes)yourcoordinatesbeinimages,youthemtoIMAGEframe.Theline,example,appearthe(.IPFasbytheplane.+32Cartesian Reference Frame for Physical MeasurementyEulerxEulerxCartesianyCartesian?tolinesonphysicalusingstandardframexright,yup??Answer:theframeshownthetoleftISnormal,arrangementaxesistheusedpointthatfindafile).Applytransformationaxesrotation)specifiedthematrixandyourcoordinatesbetheframeyourangles.Thisis+90176。rotationzsample.Incase,zaxisouttheofpage.33TSL / OIM Reference Frames: Labels in the TSL system?dolabels“TD”“ND”inTSLTheshouldunderstoodmeanRDtheTDtheandtheallEuler(butcoordinates).?labelstheFiguresconsistentthe(butthespecimen).?labelsthearewithmaps/images,NOTphysicalasTheinthecoordinatesspecifiedtheisfromEuler(RDTDND)seeprecedingforandhowtransformspatialintosameasEulerusing180176。rotationthex=y.= xspatial= yEuler= yspatial= xEulerThe diagram is reproduced from the TSL Technical Manual。twoframestheexactlynotedChangsooandMillerfiguresimages (astospecimen).? Theangleframesbyrotation+90176。(addtheEulergoingthetoHKL(inofaxisorrotation).VicetofromHKLtheframe,needsrotation90176。(subtracttheEulerpositiontheaxescritical.The“RD”“TD”notcorrespondthe“rollinganddirection”theseonthewasinmicroscope.Test of Euler Angle Reference FramesTSL?1?Atesttheusedtheanglestotheplotfiguresaorientationsmallvaluestheangles.Thistheofcrystalviasenserotationbysecondangle,oneto90176。totofromcoordinatesTSLthatCMUistheconventionconvention”),theChannel/HKListheconventionconvention”).HKL??1Euler176。176。176。crystal(nosymmetry)36The Axis Alignment Issue? ThewithmaterialstheofCartesiansystemforwithcrystalsystemBravaisone(.TSL),xaxis,[1,0,0],alignedthea1.[2,1,1,0]thistheiswith[0,1,1,0]theconvention,HKL,Metzthe.iswithcrystaldirection.thistheiswith[1,2,1,0]nextforisbecauseanalysisleadanastheofversuswith30176。shiftstheitthataxisischoicemustmadeinstallingsoftwaredeterminationwhichisusebeoncasebycaseItfixedtheinHKLmainthatisinconversionthattheamp。1010figurestransposed,thatpeakthepolethatbeathasover1010.37Diagramsa1 // a2 // a3 // x // [100]Cartesiany // [010]Cartesianx // [100]Cartesiany // [010]Cartesian38Euler Angles? Totoconfusion,ofdifferentanglecan,areformaterials.? RecallBungeanglestherotationthewhereasMatthiesKocksrotatethespeakingisproblemthatstaysasoftwaresystemwhichindexingselfconsistent.Therehowever,issuescalculationinversefiguresthepackage.39topbottomEuler angle reference framefirst acquired pixel(Xpix=1,Ypix=1)XpixYpixXpixYpixX1Y1Z1Virtual chamber of HKL software, which is used to define the specimen orientation in the microscope chamber (= how to align frame_0 with frame_1)。 with respect to this picture. original Euler angles are given in frame_1 (also called CS1)The ctf format is designed to export Euler angle into frame_0 (CS0), which is correct, provided that the specimen orientation is correctly defined.CS1 = raw data formatCS0 is modified by the user to align axes however they please. The CTF format always exports in CS0 arrangement. 40topbottomCS1 first acquired pixel (Xspatial=1,Yspatial=1) = top left pixel of the resulting mapXpixYpixXpixYpixX1Y1Z1CS1 as shown in the virtual chamberHKLCS0frame)withframe)?relyingwhatvirtualis:?butalignmentnotwithaxesthePFwithexperiencedatafromHKLofplanesbetatransformed Ti (from Nathalie Gey, LETAM – now LEM3)EBSDYpixspatial=anglesupposedbewith(181。frame)(Z0 pointing out)NoteaofPFbyZrecoverframe3theplots,alsoconsistentthebeingtoframeSpatialisdiscrepancythesoftwarehowframe(andisinvirtualandtheaxesplacedTheisrotation180176。aroundZ(frame2frameispossibledetermineonecorrectthepreviousthemapswithssystemwithsoneshowthenumberwascorrect
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