Stephen Curry - X-Ray Crys. Flashcards
What topics are covered in this 7 part lecture series?
Outline of Lecture series
- Why use X-rays?
- How is structural information encoded in X-ray diffraction patterns
3, Why do we need to use crystals?
- How to optimise proteins for crystallisation
- How to grow protein crystals
- X-ray data collection
- Solving and refining the structure
Why determine the structure of MNV NS6pro?
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Why can’t we use a light microscope to see molecules?
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But if we can’t use an X-ray microscope, how do we obtain our images?
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But what is a crystal?
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What determines the shape of molecules?
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What is an X-ray? What are it’s constituent components?
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What happens when an X-ray collides with an electron?
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With a simple 2 electron system - how do they scattered X-ray interact?
What does diffraction refer to?
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What physics experiment can electron X-ray diffraction be compared to?
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Does the diffraction pattern collected, somewhat resemble a molecule?
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Do crystallographers use degrees or Radians?
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Why are we talking about circles? Why do crystallographers care about circular motion?
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What are the properties of waves? How are they represented graphically and in a equation?
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What does constructive interference mean when adding waves?
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What does destructive interference mean when adding waves?
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How do waves normally interact, constructively or destructively?
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In a hypothetical 2 electron system, how would two in-phase incident beams scatter from 2 electrons (same angle - so interaction occurs) but the two electrons aren’t exactly in the same positon?
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Outline what is going on in this system?
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How could you calculate the path difference in this scenario?
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Basically, how much more the top wave had to travel relative to the bottom wave
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How can we use the path difference to calculate the phase difference that arises as a result of the path difference?
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How can the scattering be defined using vector algebra? What is the main thing to take away from the eqaution?
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What equation can be used to calculate the phase difference in this two electron system? What is it dependent on?
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How can the general wave equation be modified and applied to to calculate the resultant wave from our 2 electron system?
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How can the equation for the resultant wave in 2θ direction be re-written in a simple format?
Hint - Think ‘sum of’
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Can we extrapolate our view of a 2 electron system to a 9 electron system, or even bigger? If so, what can do they all have in common?
YEAHHHH BUDDDYYY - we can apply our resultant wave equation to electron scattering in 2θ direction with amplitude 1 for as many electrons as we need!
Example attached - 9 scattered waves interacting
Important takeaway…
The phase shifts produced will be dependent on the position of the electrons and thus the structure!
The resultant wave produced with be reflective of the electrons in the structure
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What is the structure function?
Same thing we were looking at before, having a mathematical description of resultant waves
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Are electrons in a real multi-electron structure fixed just like we previously examined in our 2 & 9 electron structure?
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How does scattering in a real molecule look like?
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How can we breakdown the scattering from a molecule to make it simple and mathematically manageable?
Watch out, there is one extra thing we need to consider when working with different electron densities…
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How can we change our F(S) wave equation so that represent the total scattering in one direction in our multi-electron model?
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Relationship between p(r) and f(s)?
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What is a more ‘proper’ way of representing the the molecule f(s) equation?
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Why in reality do we care about the inverse fourier transform of f(s)?
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Summary of all the shit in lecture 2 - bringing it all together?
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How does a real diffraction pattern look like?
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Can we apply our mathematical model to single molecule of protein and obtain all our structural information?
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How do crystallographers visualize their crystals? How do they break it down?
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What the relationship between the angle of incidence & reflection in a mirror?
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Does a crystal made up of molecule reflect like a mirror?
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Equation to relate the scattered waves from the adjacent layers in a molecule? What does this equation tells us about when constructive interference occurs?
Braggs Law
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When do we get destructive interference accroding to Braggs Law?
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Why in many cases do constructive waves not produce a resultant wave that is detected?
Distant layers interact –> Braggs Law needs to hold overall
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Why do we rotate the crystal when capturing X-ray diffraction ?
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Crystalline diffraction - takeaway messages?
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Breakdown the following mathematical equations - why do the differences arise between molecule and crystal?
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In reality what would the scattering pattern from a single molecule look like?
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How does Molecular vs crystalline scattering differ?
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What does consequences of Braggs law when it comes to data collection? What happens in the real experiment?
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