What are the first three steps of x ray crystallography
Obtain crystals
Collect data
Obtain phases
What does the wavelength have to be in
Regular light microscopy
x ray crystallography
Both have to be less then the length of the object so the object can be dicerened
Visible light:
- 400-700nm
X-ray:
- 0.1-100 A, usually around 1A
- 1A bc the bond on C backbone are 1.5A, allow us to discern images of atoms
- show interactions with electrons , biggest ineraction with more e-, least with H bc only 1e-
How is the setup of x ray crystallography diff from light microscopy
Source : x rays
Object: crystal
Detected is used , there are no lenses
The reconstructed image is e- density :
- give contour lines where highest e- density is in centre
What is the x ray source
Synchrotron
What is a unit cell
Translationally symmetry
Lattice and node
Unit cell: Element is translated through three dimensions to give the crystal
TS: sliding across x axis
Lattice and node: lattice is array of line ld that makes up the boxes, nodes are points that form the lattice
What is special about the symmetry in the crystal and what does it allow us to do
Only need the description of one molecule and the symmetry to describe the entire crystal
Meaning can describe other object in the crystals if you know one of the objects already
Describe the coordinates in a model in a crystal
What types of symmetry are there in the crystal
Define the positions of the atom by x,y,z atomic coordinates
Symmetry related atoms on the neighbouring unit cells
Symmetry related atoms in the same unit cell
Describe the electron density map
The electron density map is contoured at a single specific level above the boise level
then the model is fitted into the electron density according to interpretations by crystallographer
Describe the film in the x ray diffraction exponent once the crystal diffracts the x rays
The diffracted rays cause darkness on the film called “reflections”
More intense, bigger reflection
Centre is blank because of the beam stop (don’t want direct x ray beam bc that damages the detector
The dat you get from the film is the intensity and the position (where the reflections land on the detector/film
Describe the trend of the diffraction pattern
Dark centre, fades at the sides, the reciprocal of the atom in the crystal
Any symmetry in the atom/molecule is retained in the diffraction pattern.
if in an array, there’s no more symmetry so the diff reaction pattern doesn’t have symmetry anymore
What are the coordinates for reflections
For the atoms that give those reflections
h,k,l
X,y,z
What does table 1 in a crystallographic paper show
Describes the crystallographic data
States how well the crystals diffract
Might describe only one data set
What is a Fourier transform in crystallography
Combines info from the diffraction pattern to simulate a lens (bc we don’t actually have a lens in x ray crystallography) and reconstruct the electron density
What it gives is a set of structure factors (Fhkl) which are used to calculate the electron density at each position in real space:
Slode 20
The computer which transforms the data stimulates the lens
All transformation are happening via the computer which why this process is a black box (don’t actually know what’s happening inside it)
Each diffracted x ray is
Explain the structure factor
The sum of the contributions from all atoms in the unit cell
Structure factors (Fhkl)
- the sum of those contributions from those atoms (so the reflection caused by the diffracted ray)
- ex. Fhkl= fA +fB + fA’ + …
- these are vectors so write the in bold or half arrow
What is electron density and how does it come about
Because electrons diffract x rays, the diffraction reveals the electron density
p(x,y,z)
Then a contour map is calculated from the electron density to make it interpretable
Then, if amplitude frequency and phases of each reflection are known, the Fourier transform will take us between Fhkl (reflections) and p(xyz) (electron density)
What does the intensity of a reflection give
Amplitude
What does the diffraction pattern give us
The positions of the reflections
Intensities of the reflections
But does not give phases
How do we get phases
Look for the orientation and position of a similar molecule in a crystal
Soak heavy atoms into crystals
Incorporate a heavy atom that show anomalous diffraction into the crystals
What is the cycle of macro molecular crystallography
Calculate electron density from the data and phases
Fit the model to the electron density
Refine the model using data
Do again until you decide model is good enough
What does table 2 describe
The refined model