LECTURE 10. Dr. Teresa D. Golden University of North Texas Department of Chemistry

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LECTURE 10 Dr. Teresa D. Golden University of North Texas Department of Chemistry

Components for the source include: -Line voltage supply -high-voltage generator -x-ray tube X-ray source requires -high photon output -high specific intensity -selectable levels kv and ma -stable output

1. Line-voltage supply Usually 110 or 220 V Variations in line voltage are due to: - a slow (mins or hrs) variation of voltage level - cycle variation in the amplitude of the waveform - superimposed short-term (msec) burst of high voltage spikes

1. Line-voltage supply The high-voltage generator can usually handle the first two variations (within +10%), it is the last variation that can be a problem. The generator contains stabilization circuits, but the response of these circuits is finite. For very short duration spikes, a burst of excess voltage will pass to the x-ray tube. These spikes can give counting and display problems. Can use an in-line isolation transformer to clean the line-voltage supply.

2. High-voltage generator Purpose - transforms line-voltage to supply 10,000 to 50,000 V in steps of 5000V. Types of generators: - constant-potential - half-wave rectified - full-wave rectified

2. High-voltage generator Recently manufacturers have moved to highfrequency types, which have a lower cost, smaller size and weight, with greater conversion efficiencies (less heat loss). +/- 0.01% for a +/-10% variation in the line voltage and +/- 5 C change in ambient temperature.

2. High-voltage generator - Half-wave generator

2. High-voltage generator - Half-wave generator Cycle starts at zero volts (V o ), reaches a maximum (V m ) at 1/4 of the cycle, drops to zero at 1/2 of the cycle, drops to a minimum (-V m ) at 3/4 of the cycle, and at a full cycle is back at zero.

2. High-voltage generator - Half-wave generator If the excitation potential for a characteristic line (e.g. CuKa) is V e, the value of V e is only exceeded for a specified period of the cycle. This effective part is called the duty cycle of the generator (~30% of the cycle).

2. High-voltage generator -Full-wave generator If the line voltage is rectified get a doubling of the duty cycle.

2. High-voltage generator - Constant-potential

2. High-voltage generator - Constant-potential A smoothing is applied to the maximum value (V m ) for the whole cycle. The duty cycle approaches 90%. There are still some ripple effects with constantpotential high voltage generators.

2. High-voltage generator - High-frequency types Converts a low frequency, low voltage input into a high frequency, low voltage waveform that produces a high frequency, high voltage output waveform.

2. High-voltage generator - High-frequency types AC input power converted by rectification and smoothing to a low voltage DC waveform. An inverter circuit chops the DC into a high frequency AC square wave. AC square wave is input into a high-voltage transformer to produce a high voltage, high frequency AC waveform. Transformer Rectifier Smooth X-ray Tube

2. High-voltage generator - High-frequency types

2. High-voltage generator - High-frequency types Advantages: - can use either single- or three-phase input lines - more efficient, more compact, less costly - easy to repair

2. High-voltage generator Generator Type kv ripple -Single-phase 1-pulse 100% (self rectified) -Single-phase 2-pulse 100% (full wave rectified) -3-phase 6-pulse 13-25% -3-phase 12-pulse 3-10% -Medium high frequency 4-15% inverter -Constant potential <2%

2. High-voltage generator The transformers supplies filament current (i) and high voltage to the x-ray tube. All the components in the generator require high electrical insulation and are usually mounted in a high-dielectric oil-filled tank.

2. High-voltage generator Output from an x-ray tube powered by highvoltage generator is described by radiation flux. Flux density of x-ray photon per unit area per second. Takeoff angle angle between the plane of the tube target and an incident slit of an experiment.

2. High-voltage generator Goal is to use the maximum available flux from the x-ray tube, this is determined by: 1. Maximum power rating (ma x kv) of the tube. 2. Type of generator employed. 3. Optimum kilovolt level. 4. Takeoff angle of x-ray tube. 5. Choice of monochromatic conditions. 6. Desired lifetime of the tube.

2. High-voltage generator The optimum choice of V and i can be determined from an isowatt curve, plot of operating voltage vs total x-ray intensity from the tube.

2. High-voltage generator Also must remain within the power curve of a given tube.

3. Source Stability Drift - variation in output of the source. There are several types: Type Time Magnitude(%) Source Ultralong mons/yrs 1-20 Aging of the tube Long days/wks 0.2-0.5 Thermal, focal spot wander Short mins/hrs less than 0.1 Stabilization circuit Ultrashort msec 0.2-10 Transients

4. Specific Loading The focal spot for the normal x-ray beam is ~ 1 x 10 mm. Microfocus tubes spot size is about 0.1 x 1 mm - used for high resolution work. Maximum rating of the x-ray tube depends upon the ability of the anode to dissipate heat.

4. Specific Loading The specific loading (W/mm 2 ) of the anode is rated for tubes. Tube type Dimensions (mm) Loading (kw) Specific Loading(W/mm 2 ) Fine focus 0.5 x 12 2.0 333 Normal focus 1.0 x 12 2.5 208 Broad focus 2.0 x 12 3.0 125 Rotating Anode 0.5 x 10 15.0 3000

X-ray tube care New and unused x-ray tubes require a running-in period before use at full loading. When made, air must all be removed to prevent oxidation of the tube filament. The space charge must be maintained to keep air on walls by a static charge. Most common cause of tube breakdown is failure of cooling system. (Also must keep shower head clean)

The x-ray source should be spectrally pure, however spectral contamination can cause the addition of weak unwanted lines in the pattern. Contamination sources include: Element Specific source Effect Cu Anode block increase w/ time W Filament increase w/ time Fe Window seal generally small Ca Window generally small

5. Rotating anode Anode rotated at high speed - allows higher amperage with better cooling - increases intensity of the x-ray tube. Problems include mechanical difficulties of having a high-speed motor drive that must feed through a vacuum. Must use ferrofluidic seals and turbomolecular pumps.

5. Rotating anode

5. Rotating anode

B. Sample Preparation Problems with the sample can lead to the largest errors in the diffraction pattern, therefore it is important to be extremely careful with the sample.

B. Sample Preparation There are many different types of samples: Rock material Powder material Single Crystal Metal Liquids

B. Sample Preparation Several problems can arise during sample preparation and running of the experiment: Grinding - cause amorphism, strain, decomposition, side reactions, contamination. Irradiation - polymerization, decomposition, amorphism. Special techniques - loss of water in vacuum, high temperature decomposition.

B. Sample Preparation As mentioned before, even the sample thickness and m/r, mass-attenuation coefficient, affect the resulting x-ray diffraction pattern. Since the x-ray beam penetration depth is small in many samples, problems can occur when the individual particles are large relative to x-ray beam depth.

B. Sample Preparation Example: Chalcopyrite (CuFeS 2 ) - mining ore Can oxidize in air, if the average particle size is 20 mm and x- ray beam depth is 30 mm, m/r of CuFeS 2 = 143.2 and m/r for CuFe 2 O 4 is 116.1 for Cu Ka radiation. The measured x-ray pattern will be different for each particle - inhomogeneity effect.

B. Sample Preparation Shown are 10 fractions of a powder with each run on a diffractometer.

B. Sample Preparation Notice that at small particle size ~5mm, the relative standard deviation is only a few %, but statistical error increases as particle size exceeds 10 mm.

B. Sample Preparation The best way to reduce this particle size effect is to grind the sample. Pitfalls to avoid when grinding: - careful not to decompose the sample - Not to grind soft materials until the crystallinity is destroyed - If sample is a mixture, not to let the harder component grind the softer material and destroy crystallinity.

B. Sample Preparation 1. Sample Holders (a) Zero-background, (b) top-loaded, (c) backloaded, (d) circular, (e) press mounts

B. Sample Preparation 1. Sample Holders a. Back Loading Use a holder with a rectangular hole punched through it. Attach a microscope slide to one side. Turn holder over and load powder into cavity. Place a cover over the powder surface and turn back over. Remove glass slide.

B. Sample Preparation 1. Sample Holders a. Back Loading Advantage - gives a nice even surface. Disadvantage - strongly enhances the (0k0) reflections of platelike materials.

B. Sample Preparation 1. Sample Holders b. Side Loading Advantage - better packing method, gives true peak intensities. Disadvantage - difficult to do. c. Top loading Advantage - easy preparation. Disadvantage - may have preferred orientation.

B. Sample Preparation 1. Sample Holders d. Zero Background Holder Use a single crystal that has been aligned along a nondiffracting crystallographic direction (forbidden reflection) and then polished to optical flatness.

B. Sample Preparation 1. Sample Holders d. Zero Background Holder Apply a thin layer of grease to the crystal surface and wipe off leaving a monolayer. Grind a sample (wet or with acetone) to a dust. Sprinkle sample onto grease. Total thickness is only a few mm.

B. Sample Preparation 1. Sample Holders d. Zero Background Holder Advantage - very low background, small sample amounts needed. Disadvantage - overall lower intensity makes it difficult to determine trace phases.

B. Sample Preparation 1. Sample Holders e. Spray Drying Wet grind the sample and add a binder to the slurry. Atomize the slurry into a hot chamber so the droplets dry before hitting the walls. Mostly used when the relative intensity information is critical, i.e. quantitative phase analysis or Rietveld structure analysis.

B. Sample Preparation 1. Sample Holders e. Spray Drying

B. Sample Preparation 1. Sample Holders e. Spray Drying SEM micrograph of a hematite powder before and after spray-drying.

B. Sample Preparation 1. Sample Holders e. Spray Drying Advantage - eliminates preferred orientation. Disadvantage - requires longer sample preparation time (15-30 min).

B. Sample Preparation 1. Sample Holders f. Irregular Sample Holder

B. Sample Preparation 2. Measurement of Prepared Samples Sample displacement occurs with the mechanical mechanism.

Read Chapter 4 and 9 from: -Introduction to X-ray powder Diffractometry by Jenkins and Synder Read Chapter 13 from: -Introduction to X-ray powder Diffractometry by Jenkins and Synder Read Chapter 13 and 14 from: -Elements of X-ray Diffraction, 3 rd edition, by Cullity and Stock