Modern approaches to protein Flashcards
What does the gyromagnetic ratio determine
The gyromagnetic ratio determines the ratio of nuclear magnetic moment to nuclear spin
What do fundamental symmetry theorems predict
Fundamental symmetry theorems predict co-linear spin and magnetic moment
What is the equation for magnetic moment
u=gamma x I
How much magnetism (u) we get for spin I
What does energy depend on
size and relative orientation of B and u
What is Zeeman splitting
delta E = gamma hbar B0
split by different values of m
What is the Larmor frequency
Resonance corresponding to the Zeeman splitting induced in NMR experiments
w0 = gamma B0
Why do we need a large magnetic field
Boltzmann distribution gives 1 in 1000 nuclei with spin a over spin B; a and B populate according to Boltzmann. Larger delta E scale with B0; larger population difference gives more nuclear magnetisation and a larger magnet increases the population therefore is good for experiments
Give the protocol of a 1D FT NMR experiment
1) There is a slight population excess in lower energy alpha which leads to net magnetisation along z and no net in xy as nuclei are precessing in B0 therefore randomised and no net magnetisation
2) Generation of transverse magnetisation by 90* pulse, perpendicular to magnetic field
3) Place receiver coil perpendicular to magnetic field with a pre amplifier and detect oscillating magnetic moment as it induces small electric signal on the order of nanoV
—> NMR signal also called free induction decay FID
4) FID: transverse magnetisation oscillates and decays
Rate of decay in x: transverse relaxation time
Rate of decay in y: spin-spin relaxation time
Why do we run experiments in D2O
Doesn’t have net spin so doesn’t show up in spectra; labile protons (amides) don’t show up as well. This clears up NMR spectra
How do we use pH to monitor a peak for example which protons are bound to an active site
Can measure the pKa because shifts decrease on increasing pH and can plot a sigmoid curve: pKa at 50% complete change
Then repeat titrations in presence of an inhibitor and the ones that still change are protonated in the enzyme-inhibitor complex; the ones that are protonated in the complex are protected from exchange and therefore a higher pH is required to remove them
What are the 3 stages to an NMR experiment
resolve resonances, assign, interpret data
What is COSY
Correlation spectroscopy: you get cross peaks from transfer of magnetisation
Scalar J coupling means you see transfer from protons within amino acid side chains and amide proton and alpha carbon proton
Typically whats the J limit you can see in COSY
3J: you do not see across the peptide bond
What is a spin system
A spin system arises from scalar coupling within an individual amino acid with a carbonyl as a spacer because you do not see coupling across the peptide bond
What do you see in the 0-5 ppm region of a COSY
amino acid side chain spin systems sitting on top of each other
What is the fingerprint region of a COSY
Calpha - NH region;
top axis: 6.5 - 9 ppm
sideaxis: 3.5 - 5 ppm
Where do you see Aromatic-aliphatic peaks in a COSY
top axis: 6.5 - 8.5 ppm
side axis: 0 - 2.5 ppm
Why can ambiguity arise from a COSY spectrum
Say there are two alanine resonances with different shifts for NH and Me but degenerate alpha C proton shifts. You cannot link the NH to the correct side chain because they will appear at degenerate points on the spectrum
What is TOCSY
Total correlation spectroscopy: produces cross peaks between all protons of a spin system and is therefore ideal for proteins
What is a spin locking field
A spin locking field is a series of rapid 90* pulses of varying phase
- it averages proton-proton coupling constants over the entire spin system
- Magnetisation is transferred very efficiently at a rate determined by J
- Longer mixing time = magnetisation propagates further through the system
- Very small J can still cause cross peak
How come we can correlate along the entire system in TOCSY
Dispersion of the NH-aH region
What does NOESY allow
It provides data on internuclear distances and therefore you can correlate directly with molecular structure
What is an nOe caused by
Cross relaxation: think of that energy level diagram with aa bb ab ba W2 is aa bb and W0 is ab ba
In small molecules which is the dominant NOE effect
W2 because of rapid tumbling
In large molecules which is the dominant NOE effect
W0: negative NOE enhancement
W0 connects energy levels of similar energy so only low frequency required
“cross relaxation”
How do you carry out a 2D NOESY experiment
add additional mixing time to the COSY experiment and see a build up of magnetisation from one nucleus to a close neighbour
Describe the protocol of a 2D NOESY experiment
Presaturation time 90* pulse t1 90* pulse: magnetisation of interest lies on -Z, this pulse means that cross-relaxation now occurs to a nearby nucleus mixing time 90* pulse t2 ~~~~~~~---
How do you work out the separation from NOESY
NOE = k (1/r6) so calibrate with known distance where k is a proportionality constant
Detect up to 5A