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A quick guide to crystallography and crystal growth Ross Harrington
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Outline What is crystallography? How it works and why you need good crystals The data collection procedure Where the pitfalls lie. What are crystals? Crystal growth Factors that affect diffraction quality National Service and Diamond
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Books
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What is crystallography? Determining the 3-D structure of a molecule Provides relationship of structure to physical and chemical properties Meaning of ‘structure’: relative positions of atoms in a molecular or other material, hence complete geometrical description: bond lengths and angles molecular conformation absolute configuration, etc.
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Absolute Configuration The ‘absolute structure’ defines the configuration of the chiral centres in a molecule that is chirally pure (i.e. R or S). In this case molecules will crystallise in a chiral space group i.e. One with no centre of symmetry (mirror or inversion centre) Can not apply to racemic mixtures or molecules that contain internal symmetry
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What is crystallography? Not a spectroscopic technique All parts of the diffraction pattern contribute to all parts of the structure So- all parts of the structure also contribute to all parts of the diffraction pattern.
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The two techniques Spectroscopy UV, light, IR, etc. Crystallography X-rays (or neutrons) Usually monochrmoatic Sample detector: measure the variation of intensity with changing λ in one direction Crystal detector: measure the variation of intensity with direction for one λ (a diffraction pattern)
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Diffraction X-rays interact with the electrons surrounding the nuclei (and in the bonds) So the heavier the atom, the more electrons are present, so diffraction is more intense. Diffraction is proportional to the number of electrons present Diffraction drops off at higher angle of incidence (theta) So locating H atoms is difficult
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Other points of note Each spot in a diffraction pattern is one data point (h,k,l). The number of data points possible is proportional to the size of the unit cell The size of the unit cell is proportional to the size of the molecule being analysed. So bigger molecules take longer to obtain data.
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What is a crystal? A solid material with infinite order in three dimensions Therefore all molecules are in exactly the same relative environment This means that translational and possibly other symmetry is present These are: Inversion centres, rotation axes and mirrors
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Defining a unit cell
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The Process
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The Experiment Grow Crystals Select Crystal Collect/process data Solve and refine structure Publish/Patent
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Grow good crystals Garbage in = Garbage out Relatively large See-through/clear Single Not amorphous
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1. Grow good crystals
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General principles of crystal growth It isn’t the same as recrystallisation Crystals grow in a settled environment Solvents make a big difference- both purity and volatility Solubility is important Seeding can work The first try isn’t always the best Take Time....
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Choose your vessel carefully Crystals need to be removed easily Don’t use huge vessels with small volumes Try to avoid vessels with very small apertures Try to avoid vessels with wide shoulders Avoid very smooth or very scratched vessels
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My least favourite
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Crystal Growth: Solution methods General principles Choose your solvents carefully- ‘like dissolves like’ Anti-solvents can be added to reduce solubility Varying concentrations of the two can give the best conditions for crystallisation
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Crystal Growth: Concentration Essentially ‘slow evaporation’ If using mixed solvents, the better solvent should be most volatile. Rate of evaporation can be controlled: Temperature Gas flow Aperture size Note: Avoid hazards such as build up solvent in confined spaces. Keep an eye on the sample.
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Examples NMR tubes left in back of Fume Cupboard
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Crystal Growth: Slow cooling Two methods: Allow a hot, almost saturated solution to cool slowly to room temperature Cool a similar solution made up at RT, using a fridge or freezer Cooling time can be manipulated
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Examples
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Crystal Growth:Solvent diffusion Essentially two almost immiscible solvents layered on top of each other The poorer solvent mixes with the better solvent and causes crystallisation Can also use specialist apparatus such as H-cells
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Examples
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Crystal Growth: Vapour Diffusion Relies on solvent/antisolvent principle again One sample tube inside another Volatile anti-solvent diffuses into solution via the vapour phase This reduces solubility and hence crystallisation occurs.
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Examples
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Crystal Growth: Exotic methods Sublimation Convection In situ crystallisation Reactant diffusion Solid synthesis (grinding) Solvothermal (temp and pressure)
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When you get crystals DO NOT filter them DO NOT put them under vacuum DO NOT let them dry out DO leave them in the same environment DO reduce the solvent level slightly DO give us as many crystals as possible
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Re-growing crystals Tend not to say ‘recrystallise’ SD example CH 2 Cl 2 vs CHCl 3
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Re-growing crystals R1 = 0.0210, wR2 = 0.0544 Largest peak and hole 0.87 and 0.54 e Å 3
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Collecting the data Choosing the crystal (up to 15 minutes) Collecting initial images (10 minutes) Checking against known cell (5 minutes) Data collection (30 minutes to 3 days) Processing data (20 minutes) Solving and refining structure (30 minutes to a week) Publishing structure (up to 15 years)
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What I am aiming for Good enough to get a structure? Resolution limits (0.84Å Mo, 0.9Å Cu)? Publishable in Acta? ‘The best possible data you can get from the sample you have’
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‘Data out’ As high a resolution as possible High redundancy on all reflections (at least 2) Good statistics (R sigma, R int ) on whole data set Low residual peaks in the difference map A good R factor
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Good and bad patterns
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Effect of disorder ? R1 = 0.0437, wR2 = 0.0938 Largest diff. peak and hole0.43 and 0.27 e Å 3
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Effect of disorder ? R1 = 0.0562, wR2 = 0.1196 Largest diff. peak and hole 0.96 and 0.40 e Å 3
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Twinning Twinning occurs where the unit cell has symmetry elements that the contents of the cell do not Example: A Monoclinic structure with β close to 90 o Two types of Twinning Merohedral: occurs where lattice system has two point groups Non-merohedral: imperfect overlap of diffraction from two components
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Consequences of twinning
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Pros and cons of crystallography Pros Relatively quick Unambiguous Loads of info Picture tells a thousand words Cons You have to grow crystals Selected crystal may not be representative Solid state may be different from solution Not useful for elemental analysis You will need supporting evidence for analysis of the bulk sample e.g. Powder diffraction
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When all else fails... Use a stronger X-ray source We have access to: The National Service (rotating anodes and mirrors) ~15 samples in 6 months Diamond Light Source (synchrotron) ~ 4 days every 6 months
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