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Structure Determination and Analysis : X-ray Crystallography
X-rays Intensity of diffracted beam Diffraction  Source Sample Detector
Energy =  hc     λ
X-rays ,[object Object],[object Object],[object Object]
A typical crystallography experiment Pure protein Grow crystal Characterize crystals Collect diffraction data Solve phase problem Calculate electron density map Build/rebuild model Refine model Analyze structure
The Beginning
Principles of X-ray diffraction What is a crystal? ,[object Object],[object Object]
Proteins and crystallisation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Precipitant Cover-slip sealed with vacuum grease Protein in “Hanging drop”
Diffraction Apparatus
Synchrotron radiation More intense X-rays at shorter wavelengths mean higher resolution & much quicker data collection
Experimental setup
Remove cover slip and fish out crystal with a small nylon loop Mount loop on goniostat in a stream of  nitrogen gas  Surface tension of the liquid in the loop holds crystal in place  Mounting crystals
Diffraction ,[object Object],[object Object],[object Object]
Diffraction Principles n  = 2dsin 
Diffraction Principles A string of atoms Corresponding Diffraction Pattern
The reciprocal lattice and the geometry of diffraction X-ray source X-ray detector
Spacing between diffraction spots defines unit cell 1/a 1/b
Waves & the phase problem The amplitudes of the diffracted X-rays  can be experimentally measured, but the phases cannot =  phase problem . i.e. we don’t know the  phase  of each diffracted ray  relative  to the others! X ? A  Z X Y
The Phase Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Structure factors & Fourier transforms unit cell F  (h,k,l) = V  x=0    y=0    z=0   (x,y,z).exp[2  I(hx + ky + lz)].dxdydz  A reflection electron density   All reflections   phase  ( x,y,z ) = 1/V   h  k  l   F ( h,k,l )  exp[2  I (h x  + k y  + l z ) +  i  ( h,k,l ) Electron density   amplitude At a point   ,[object Object],[object Object]
Fourier Transform of a molecule F T
Fourier Transform of a crystal
The Phase Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Molecular replacement ,[object Object],[object Object],[object Object]
Molecular Replacement By determining the correct orientation and position of a molecule in the unit cell using a previously solved structure as a ‘search model’. This model can then be used to calculate phases
Isomorphous replacement (IR)   ,[object Object],[object Object],[object Object],[object Object]
Anomalous scattering ,[object Object],[object Object],[object Object]
[object Object],[object Object]
Resolution 1.2 Å 2 Å 3 Å
Resolution 6 Å : Outline of the model, feature such as helices can be identified. 3Å : Can  trace polypeptide chain using sequence data, establish folding topology. Assign side chains. 2Å : Accurately establish  mainchain conformation, assign sidechains without sequence data, I.d water molecules. 1.5Å  : Individual atoms are almost resolved, detailed discription of water structure. 1.2Å : Hydrogen atoms may become visible.
Final Structure But the work is not over yet!
Refinement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],Quality of the structure?
Deviation of bond lengths & angles from ideal. All based on the geometry of small molecules. Rms deviation for bond lengths should be less than 0.02 Å and  less than 4º for bond angles   Determined using a Ramachandran plot .  Rms deviation of bond length & bond angle
Absorption of Light
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Protein concentration can be measured by measuring absorbance at 280 nm and by assuming that 1 mg ml -1  solution of protein has absorbance of 1.0 Absorption in the UV and visible range
Absorption and emission spectra of individual tryptophan residues, in the absence of energy transfer
Fourth derivative absorption spectrum ,[object Object],[object Object],Chauhan and Mande, Biochem J, 2001
Measurements of conformational properties using optical activity
Linearly polarised light Right circular polarisation Left circular polarisation
[object Object],[object Object],Linear Circular Elliptical
[object Object],[object Object],[object Object],[object Object],[object Object]
Circular Dichroism
CD spectrum of a protein
 
Where can Circular Dichroism be used?
Measurements of conformational properties using fluorescence
Fluorescence ,[object Object],[object Object]
Fluorescence ENERGY S 0 S 1 S 2 T 2 T 1 ABS FL I.C. ABS - Absorbance S 0.1.2 - Singlet Electronic Energy Levels FL - Fluorescence T 1,2  - Corresponding Triplet States I.C.- Nonradiative Internal Conversion IsC  - Intersystem Crossing PH  - Phosphorescence IsC IsC PH [Vibrational sublevels] Jablonski Diagram Vibrational energy levels Rotational energy levels Electronic energy levels Singlet States Triplet States
Simplified  Jablonski Diagram S 0 S’ 1 Energy S 1 hv ex hv em
Fluorescence The  longer  the wavelength the  lower  the energy ,[object Object],[object Object],[object Object]
Fluorescence Excitation Spectra Intensity  related to the  probability  of the event ,[object Object],[object Object]
Corrected excitation spectra (corrected for source output and monochromator throughput) can be obtained by using a reference channel equipped with a "quantum counter". This is a concentrated dye solution (typically 3 mg/mL rhodamine B in ethylene glycol). A tiny fraction of the excitation beam is diverted to the reference detector. The quantum counter absorbs all of this light, and converts it (with 100% efficiency to fluorescence), the intensity of which is independent of wavelength between 220 and 580 nm. Any changes in lamp output or monochromator throughput will cause corresponding alterations in the output of the reference channel. By dividing the fluorescence signal by the reference signal, these wavelength-dependent variations are cancelled out. Unfortunately, the quantum counter will not entirely correct the emission spectrum. However, instrument manufacturers supply correction factors for their monochromators. Application of these will give an approximately correct spectrum. If more accuracy is needed, the spectrum of a known standard compound (fluorescing in the region of interest) can be compared to published standards. j.  Biological fluorophores 1)  Intrinsic fluorophores a) Proteins Tryptophan dominates protein  fluorescence spectra  - high molar absorptivity - moderate quantum yield - ability to quench tyrosine  and phenylalanine emission  by energy transfer.  Free tyrosine has a relatively high fluorescent output, but is strongly quenched by trptophan in native proteins. Unless tyrosine and tryptophan are absent, emission from phenylalanine is not observed in protein fluorescent spectra.
Tryptophan is a good fluorophore   ,[object Object],note that this fluorescence expt used an excitation    of 270nm note that the fluorescence looks like a mirror image of the 280nm absorption peak (and  not  the 220nm peak)
Absorption vs Emission for Trp ,[object Object],in water buried  in protein  Abs.  E abs  E abs protein water absorption  E em  E em emission protein water  Em.
Effect of Ca 2+  on Intrinsic Trp-fluorescence and on Fluorescence Anisotropy ▼  Wild type •  Dome loop mutant Blue shift and intensity enhancement upon addition of Ca 2+ Change in anisotropy upon titration in the wild type, but not in the mutant
Raman Scatter ,[object Object],[object Object],[object Object]
Rayleigh Scatter ,[object Object],[object Object],the sky looks blue because the gas molecules scatter more  light at shorter (blue) rather than longer wavelengths (red)
Probes for Proteins ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Probe Excitation Emission
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Probes for Nucleic Acids
DNA Probes ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Probes for Ions ,[object Object],[object Object],[object Object],[object Object]
pH Sensitive Indicators ,[object Object],[object Object],[object Object],[2’,7’-bis-(carboxyethyl)-5,6-carboxyfluorescein] Probe Excitation Emission
Probes for Oxidation States ,[object Object],[object Object],[object Object],Probe   Oxidant   Excitation Emission DCFH-DA - dichlorofluorescin diacetate HE - hydroethidine DHR-123 - dihydrorhodamine 123
Specific Organelle Probes BODIPY   Golgi 505 511 NBD   Golgi 488 525 DPH    Lipid 350 420 TMA-DPH   Lipid 350 420 Rhodamine 123 Mitochondria 488 525 DiO Lipid 488 500 diI-Cn-(5) Lipid 550 565 diO-Cn-(3) Lipid 488 500 Probe    Site   Excitation   Emission BODIPY - borate-dipyrromethene complexes NBD - nitrobenzoxadiazole DPH - diphenylhexatriene TMA - trimethylammonium
Other Probes of Interest ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Energy transfer excitation emission transfer phycoerythrin-Texas Red ECD phycoerythrin-cyanine5 PC5 A B
Energy Transfer ,[object Object],[object Object],[object Object],Intensity Wavelength Absorbance DONOR Absorbance Fluorescence Fluorescence ACCEPTOR Molecule 1 Molecule 2
Energy transfer excited states ground state A B non-radiative (quenching) Molecule  A  absorbs light and is excited excitation transfer ,[object Object],emission Molecule  B  emits light

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Xraycrsttallography

  • 1. Structure Determination and Analysis : X-ray Crystallography
  • 2. X-rays Intensity of diffracted beam Diffraction Source Sample Detector
  • 3. Energy = hc λ
  • 4.
  • 5. A typical crystallography experiment Pure protein Grow crystal Characterize crystals Collect diffraction data Solve phase problem Calculate electron density map Build/rebuild model Refine model Analyze structure
  • 7.
  • 8.
  • 9.
  • 11. Synchrotron radiation More intense X-rays at shorter wavelengths mean higher resolution & much quicker data collection
  • 13. Remove cover slip and fish out crystal with a small nylon loop Mount loop on goniostat in a stream of nitrogen gas Surface tension of the liquid in the loop holds crystal in place Mounting crystals
  • 14.
  • 15. Diffraction Principles n  = 2dsin 
  • 16. Diffraction Principles A string of atoms Corresponding Diffraction Pattern
  • 17. The reciprocal lattice and the geometry of diffraction X-ray source X-ray detector
  • 18. Spacing between diffraction spots defines unit cell 1/a 1/b
  • 19. Waves & the phase problem The amplitudes of the diffracted X-rays can be experimentally measured, but the phases cannot = phase problem . i.e. we don’t know the phase of each diffracted ray relative to the others! X ? A  Z X Y
  • 20.
  • 21.
  • 22. Fourier Transform of a molecule F T
  • 23. Fourier Transform of a crystal
  • 24.
  • 25.
  • 26. Molecular Replacement By determining the correct orientation and position of a molecule in the unit cell using a previously solved structure as a ‘search model’. This model can then be used to calculate phases
  • 27.
  • 28.
  • 29.
  • 30. Resolution 1.2 Å 2 Å 3 Å
  • 31. Resolution 6 Å : Outline of the model, feature such as helices can be identified. 3Å : Can trace polypeptide chain using sequence data, establish folding topology. Assign side chains. 2Å : Accurately establish mainchain conformation, assign sidechains without sequence data, I.d water molecules. 1.5Å : Individual atoms are almost resolved, detailed discription of water structure. 1.2Å : Hydrogen atoms may become visible.
  • 32. Final Structure But the work is not over yet!
  • 33.
  • 34.
  • 35. Deviation of bond lengths & angles from ideal. All based on the geometry of small molecules. Rms deviation for bond lengths should be less than 0.02 Å and less than 4º for bond angles Determined using a Ramachandran plot . Rms deviation of bond length & bond angle
  • 37.
  • 38. Absorption and emission spectra of individual tryptophan residues, in the absence of energy transfer
  • 39.
  • 40. Measurements of conformational properties using optical activity
  • 41. Linearly polarised light Right circular polarisation Left circular polarisation
  • 42.
  • 43.
  • 45. CD spectrum of a protein
  • 46.  
  • 47. Where can Circular Dichroism be used?
  • 48. Measurements of conformational properties using fluorescence
  • 49.
  • 50. Fluorescence ENERGY S 0 S 1 S 2 T 2 T 1 ABS FL I.C. ABS - Absorbance S 0.1.2 - Singlet Electronic Energy Levels FL - Fluorescence T 1,2 - Corresponding Triplet States I.C.- Nonradiative Internal Conversion IsC - Intersystem Crossing PH - Phosphorescence IsC IsC PH [Vibrational sublevels] Jablonski Diagram Vibrational energy levels Rotational energy levels Electronic energy levels Singlet States Triplet States
  • 51. Simplified Jablonski Diagram S 0 S’ 1 Energy S 1 hv ex hv em
  • 52.
  • 53.
  • 54. Corrected excitation spectra (corrected for source output and monochromator throughput) can be obtained by using a reference channel equipped with a "quantum counter". This is a concentrated dye solution (typically 3 mg/mL rhodamine B in ethylene glycol). A tiny fraction of the excitation beam is diverted to the reference detector. The quantum counter absorbs all of this light, and converts it (with 100% efficiency to fluorescence), the intensity of which is independent of wavelength between 220 and 580 nm. Any changes in lamp output or monochromator throughput will cause corresponding alterations in the output of the reference channel. By dividing the fluorescence signal by the reference signal, these wavelength-dependent variations are cancelled out. Unfortunately, the quantum counter will not entirely correct the emission spectrum. However, instrument manufacturers supply correction factors for their monochromators. Application of these will give an approximately correct spectrum. If more accuracy is needed, the spectrum of a known standard compound (fluorescing in the region of interest) can be compared to published standards. j. Biological fluorophores 1) Intrinsic fluorophores a) Proteins Tryptophan dominates protein fluorescence spectra - high molar absorptivity - moderate quantum yield - ability to quench tyrosine and phenylalanine emission by energy transfer. Free tyrosine has a relatively high fluorescent output, but is strongly quenched by trptophan in native proteins. Unless tyrosine and tryptophan are absent, emission from phenylalanine is not observed in protein fluorescent spectra.
  • 55.
  • 56.
  • 57. Effect of Ca 2+ on Intrinsic Trp-fluorescence and on Fluorescence Anisotropy ▼ Wild type • Dome loop mutant Blue shift and intensity enhancement upon addition of Ca 2+ Change in anisotropy upon titration in the wild type, but not in the mutant
  • 58.
  • 59.
  • 60.
  • 61.
  • 62.
  • 63.
  • 64.
  • 65.
  • 66. Specific Organelle Probes BODIPY Golgi 505 511 NBD Golgi 488 525 DPH Lipid 350 420 TMA-DPH Lipid 350 420 Rhodamine 123 Mitochondria 488 525 DiO Lipid 488 500 diI-Cn-(5) Lipid 550 565 diO-Cn-(3) Lipid 488 500 Probe Site Excitation Emission BODIPY - borate-dipyrromethene complexes NBD - nitrobenzoxadiazole DPH - diphenylhexatriene TMA - trimethylammonium
  • 67.
  • 68. Energy transfer excitation emission transfer phycoerythrin-Texas Red ECD phycoerythrin-cyanine5 PC5 A B
  • 69.
  • 70.