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MINDMAP 2, LUA YU HUI A19SC0158 - Coggle Diagram
MINDMAP 2
RECIPROCAL LATTICE
FOURIER TRANSFORMATION
TRANSFORM DIRECT SPACE GET RECIPROCAL SPACE
INVERSE TRANSFORM RECIPROCAL SPACE GET DIRECT SPACE
SPACE
RECIPROCAL SPACE
REPRESENT FOURIER TRANSFORM OF ANOTHER LATTICE
REAL SPACE
POWDER DIFFRACTOMETER
USE BRAGG-BRENTANO GEOMETRY
PRODUCE ONE FAMILY OF PEAKS IN DIFFRACTION PATTERN
BRAGGS LAW
PRIMITIVE CUBIC CLASS
VALUE 7 IS MISSING
REFLECTION WITH LARGEST BRAGGS ANGLE IS CHOSEN TO MINIMIZE ERROR IN CALCULATION
SYSTEMATIC ABSENCE
MISSING REFLECTION
DESTRUCTIVE INTERFERENCE FOR REFLECTION
FINDING MILLER INDICES
BRAGGS LAW EQUATION
D SPACING IN DIFFERENT CRYSTAL SYSTEM
JOURNEY FROM REAL LATTICE TO DIFFRACTION PATTERN
REAL LATTICE
DECORATION OF LATTICE WITH MOTIF
REAL CRYSTAL
GEOMMETRICAL CONSTRRUCTION
RECIPROCAL LATTICE
DECORATION OF LATTICE WITH INTENSITY
RECIPROCA CRYSTAL
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PRIMITIVE TRANSLATION VECTORS
DIRECT LATTICE
GENERAL FORMULA BELOW
RECIPROCAL LATTICE
FROM DIAGRAM
RECIPROCAL LATTICE TO FCC
BCC LATTICE
RECIPROCAL LATTICE TO BCC
FCC LATTICE
EWALD CONSTRUCTION
WILLIAM HEBRY BRAGG
THE EXISTENCE OF REAL PARTICLES
PROVIDE A NEW TOOL FOR STUDYING CRYSTAL
BRAGGS LAW
VON LAUE
DISCOVER DIFFRACTION OF X-RAY BY CRYSTALS
LAUE EQUATIONS
LAUE AND BRAGG DEAL WIITH ELASTIC SCATTERING
BRAGG CONDITION
LATTICE OBJECT GROUPED IN FAMILY OF PLANES
LAUE CRITERION
CONSTRUCTION OF RECIPROCAL LATTICE
EWALD SPHERE OF DIFFRACTION
DIFFRACTION ANGLE FOR REFLECTION
RECIPROCAL LATTICE OF CRYSTAL
WAVELENGTH OF INCIDENT AND DIFFRACTED XRAY
USED IN ELECTRON, NEUTRON, XRAY
IS THE WAY TO DRAW BRAGGS LAW
RECIPROCAL LATTICE LIES EXACTLY ON EWALD SPHERE
BRAGGS EQUATION IN VECTOR FORM
EQUIVALENT
3 LAUE EQUATIONS
BRAGGS REFLECTED RAY
ELASTIC SPECULAR REFLECTION
RAY ENERGY IS CONSERVED
formmula hw = hw
q IS WAVE VECTOR
EWALD CONSTRUCTION
a
b
BRAGGS RULE IS FULFILLED
RECIPROCAL LATTICE POINT TOUCH SURFACE OF SPHERE
SPHERE SURFACE TOUCH OTHER POINT, RECIPROCAL LATTICEPOINT IS ROTATED AROUND O
NO TOUCH NO DIFFRACTION
BRAGGS AND LAUE MAIN METHOD
LAUE TECHNIQUE
LATTICE POINT TOUCH SHPERE SURFACE
CHANGING WAVELENGTH , RECIPROCAL ALTTICE SHRINK OR EXPAND
POWDER TECHNIQUE
FIX WAVELENGTH
TURN RECIPROCAL LATTICE POINT
DETERMINATION OF CRYSTAL STUCTURE
(APPLICATIONS OF XRD )
TO MEASURE THICKNESS OF THIN FILMS
TO IDENTIFY CRYSTALLINE PHASES
TO DETERMINE STRUCTURAL PROPERTIES
TO DETERMINE ATOMIC ARRANGEMENT
BRAGGS LAW
DIFFRACTION SPOTS EMERGED FROM CRYSTAL
TREATED IF THEY WERE REFLECTIONS FROM SETS OF PARALLEL LATTICE PLANES
SOURCE OF DIFFRACTION
VON LAUE
CRYSTAL AS 3D DIFFRACTION GRATINGS
ELECTROMAGNETIC RADIATION
INTERPLANAR SPACING
DISTANCE BETWEEN EQUIVALENT PLANE
X-RAY DIFFRACTION
X-RAY GENERATION
PROCESS 1 : DECELERATION OF ELECTRON
CONTINUOUS SPECTRUM
BREMSSTRAHLUNG SPECTRUM
LOSS ENERGY IN FORM OF EM RADIATION
PROCESS 2 : NON - ELASTIC EXCITAION OF CORE ELECTRONS
ENERGY IS PRODUCED IN FORM OF EM AND PHOTON
ELECTRON FROM A HIGHER ENERGY FALLS BACK TO LOWER VACANT LEVEL
ATOMIC PLANES OF SYSTEM CAUSE AN INCIDENT BEAM OF X-RAY TO INTERFERE WITH INE ANOTHER
DIFFERENCES BETWEEN
ELECTRON DIFFRACTION
STRONG INTERACTION WITH MATTER
LOW PENETRATION DEPTH
STUDY OF SURFACE THIN FILMS
NEUTRON DIFFRACTION
INTERACTION WITH NUCLEI
INELASTIC SCATTERING PHONONS
X-RAY DIFFRACTION
LARGE PENETRATION DEPTH
ATOMS WITH HIGH Z
3D CRYSTAL STRUCTURE
EXPERIMENTAL DIFFRACTION TECHNIQUE
EWALD SPHERE
UNIT CELL DIMENSION
FIND MAXIMUM RESOLUTION FOR XRAY WAVELENGTH
TECHNIQUES OF EWALD CONSTRUCTION FOR CRYSTAL STUDY
CRYSTAL ROTATION TECHNIQUE
DIFFRACTION PATTERN IS FORMED
BLACK SPOT ( PEAKS OF MAXIMUM INTENSITY )
ARRANGEMENT
WAVE VECTOR IN PLANE
INTERSECTION OF CIRCLES WITH EWALD SPHERE PRODUCE WAVE VECTOR FOR BRAGGS REFLECTED RAY
POWDER TECHNIQUE
POWDER FORM
RANDOMLY ORIENTED
CONVENIENT
SINGLE CRYSTAL IS NOT REQUIRED
DIFFRACTED RAY FORM A CONE WITH PEAK ON CRYSTAL
CONE ANGLE IS TWICE THE DIFFRACTION ANGLE
LAUE TECHNIQUE
REFLECTED RAY TECHNIQUE
FILM USED FOR DIFFRACTION PATTERN IS PUT BETWEEN SOURCE AND SAMPLE
HYPERBOLIC SHAPE
TRANSMISSION TECHNIQUE
FILM USED FOR DIFFRACTION PATTERN IS PUT BEHIND THE SAMPLE
ELLIPSE AND HYPERBOLIC SHAPE
FOUR FOLD SYMMETRY
IS SHOWED WHEN FOUR FOLD AXIAL SYMMETRY IS ORIENTED WITH AXIS PARALLEL TO BEAM
INVARIANCE
BLACK CENTER IS A CUT OUT IN FILM
CALCULATE LAUE ANGLE
LUA YU HUI A19SC0158