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Impact Factor of IUCrJ in 2017 - 5.8.
3
Resolution limit of a light
microscope is around 10 nm
Why can you not recognize
small details in a light
microscope?
4
d =
0.61 λ
n sin α
Resolution criteria of Ernst Abbe:
d: The smallest still visible distance between two spots.
Numerical aperture
Wave length
5
d =
0.61 λ
n sin α
0.61 200 nm
1.42
d = = 86 nm
Wave length
6
NA = ~ 1.2 – 1.4 for a good light microscope
The resolution of electron microscopes is
roughly 1000x
higher than in light microscopes
Why?
Electron microscopes use electrons
instead of light.
7
m=m0/ 1-(v/c)2
Wave
Impulse: p = h/λ
Wave length: λ
Frequency: ν
Speed: v = ν λ
Particle
Mass:
Speed: v
Impulse: p = m v
Properties of electrons
8
Resolution of the electron microscope
9
d =
0.61 λ
n sin α
100 keV,
If a numerical aperture as for
light microscopes is used
Because of strong lens aberrations smaller apertures
have to be used:
d = 2 – 3 Å at 100 keV
d < 1 Å at 1000 keV
d =
0.61 0.0037 nm
1.4
d = 0.0016 nm = 0.016 Å
The Millimicron
10
Dimensions in the life sciences
11
Electric and magnetic fields act on charged
particles in a vacuum similar to optical lenses
acting on the light beam. This was first described
and calculated by Hans Busch in 1926.
He is therefore regarded as the founder of electron
optics.
12
13
Sketch of the first
electron microscope
Ernst Ruska, 1931
Nobel prize 1986
14
By varying the current in the coil, the strength
of the magnetic field and thereby the focal
length of the lens ("refractive power") can be
changed.
A coil, which is surrounded by an iron shield,
is traversed by an electric current.
The magnetic field is concentrated by
magnetic pole shoes.
The magnetic field is rotationally symmetric.
The magnification of a magnetic lens can
therefore be continuously changed by
changing the lens current.
15
Magnetic lenses cannot be produced with the same precision as glass lenses.
Therefore, the lenses of the electron microscope are rather poor
compared to those of the light microscope, especially at longer distances
from the optical axis.
Due to the short wavelength of the electron, the effective deflection angles of the
electron beam are very small (in the range of a few mrads (1mrad = (180/
The magnification power of a magnetic lens is quite low (50x for a typical
objective lens). High magnifications are achieved by connectin a series of
lenses that increase the first intermediate image produced by the
objective lens.
16
17
Screen
Detector
Vacuum pumps
Projection chamber
18
19
20
A field emitter is used to generate an electron beam that
has a smaller diameter,
is more coherent
and generates a current density of up to 3 orders of
magnitude larger than conventional cathodes:
better signal-to-noise ratio
better resolution
greater reliability
longer life of the cathode
21
Coherence
The higher the coherence of the electron beam, the higher the resolution.
Incoherence leads to chromatic aberration.
22
Envelope function
23
Tungsten filament
Envelope function
24
Field emissions gun
Condenser:
Combination of two magnetic lenses and two apertures: The
diameter of the beam can be condensed from 1 mm to 1 nm.
Objective lens:
Limits the resolution to ~ 0.1 - 0.4 nm, depending on the lens
parameters. The sample is inserted into the objective lens and
located between the pole pieces.
Intermediate lenses and projection lens:
Different lenses produce final magnifications from 100x to
1,000,000x. The quality of these lenses is less critical because the
deflection angle is much lower than in the objective lens.
25
Lens aberrations
Spherical aberration, axial astigmatism, coma and chromatic aberration are the
major aberrations in electron microscopy.
Spherical aberration:
The spherical aberration reduces the focal length of
electron beams passing through outer zones of the
lens.
The spherical aberration coefficients (Cs) of objective
lenses are usually between 0.5 - 4 mm.
26
Axial astigmatism:
Electron beams, which move in two mutually perpendicular planes,
have different focal lengths.
27
Lens aberrations
Lens aberrations
Chromatic aberrations:
Variations of the electron energy and lens currents cause a variation
of the focal length. This means that chromatic aberrations are
generated by:
Fluctuations of the acceleration voltage
Energy distribution of the electron beam
Energy losses due to inelastic scattering
Fluctuations of the lens current.
28
Lens aberrations
Coma or comatic aberrations:
A lens aberration occurring in the part of the image field that is some
distance from the principal axis (off-axis) of the system.
It results from different magnifications in the various lens zones
Most severe when the microscope is not properly aligned.
29
Extra-axial object points
appear as short, comet-like
images (to have a tail (coma)
like a comet).
Next talk: Greg McMullan
36
Optimal single particle cryo-EM equipment
JEOL JEM 1400 LaB6
FEI G2 Spirit
FEI Titan KRIOSFEI Talos Arctica
Which biological samples can you examine with a
transmission electron microscope?
37
SAMPLES
Proteins/protein crystals
Protein complexes
Liposomes/proteoliposomes, viruses
Microorganisms
Sections of cells
Sections of tissue
Sections of small organisms
Size
Preparation of proteins, protein complexes and
liposomes/proteoliposomes
38
Negative contrast EM
Cryo-EM
Preparation of proteins, protein complexes and
liposomes/proteoliposomes for electron microscopy
Single particle electron microscopy
Metal grids as specimen carrier
39
40
Negative stain EM
Samples are embedded in heavy metal layer
(for example: uranyl formate, uranyl acetate,
phospho tungstate, lead citrate)
Advantages:
• Easy
• High contrast (small proteins can be visualized)
Disadvantages:
• Only surfaces of proteins.
• Particle deformation by dehydration
• Resolution is limited: ~ 20 Å
Negative stain EM
41
Negative stain EM
42
50 nm
Negative stain EM
43
Presentation by Steve Ludtke
Cryofixation
44
Advantages:
No deformation of the particles.
High to very high resolution.
Disadvantage:
Multiple exposures are difficult
Low contrast (not useful for small proteins)
1 μm
20 nm
48
49
50
51
52
Sample
Cryo Preparation
Electron Microscopy and Imaging
Image Processing
Model Building and Interpretation
53
Maps achieving given
resolution levels:
Resolution trends:
Courtesy of H. Stahlberg
EM squirrel X-ray squirrel
These low-resolution
Bloboligists…cryo-EM
is useless.
57
Cryo-EMX-ray Crystallography
(& NMR)
Correlative light and
electron microscopy
Atomic Level Cellular Level
Light microscopy
Structural Hybrid
Approach
Cryo-EM
Cryo-ET + Subtomogram averaging
59

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Otago 2019 1

  • 1.
  • 2. 2 Impact Factor of IUCrJ in 2017 - 5.8.
  • 3. 3
  • 4. Resolution limit of a light microscope is around 10 nm Why can you not recognize small details in a light microscope? 4
  • 5. d = 0.61 λ n sin α Resolution criteria of Ernst Abbe: d: The smallest still visible distance between two spots. Numerical aperture Wave length 5
  • 6. d = 0.61 λ n sin α 0.61 200 nm 1.42 d = = 86 nm Wave length 6 NA = ~ 1.2 – 1.4 for a good light microscope
  • 7. The resolution of electron microscopes is roughly 1000x higher than in light microscopes Why? Electron microscopes use electrons instead of light. 7
  • 8. m=m0/ 1-(v/c)2 Wave Impulse: p = h/λ Wave length: λ Frequency: ν Speed: v = ν λ Particle Mass: Speed: v Impulse: p = m v Properties of electrons 8
  • 9. Resolution of the electron microscope 9 d = 0.61 λ n sin α 100 keV, If a numerical aperture as for light microscopes is used Because of strong lens aberrations smaller apertures have to be used: d = 2 – 3 Å at 100 keV d < 1 Å at 1000 keV d = 0.61 0.0037 nm 1.4 d = 0.0016 nm = 0.016 Å
  • 11. Dimensions in the life sciences 11
  • 12. Electric and magnetic fields act on charged particles in a vacuum similar to optical lenses acting on the light beam. This was first described and calculated by Hans Busch in 1926. He is therefore regarded as the founder of electron optics. 12
  • 13. 13
  • 14. Sketch of the first electron microscope Ernst Ruska, 1931 Nobel prize 1986 14
  • 15. By varying the current in the coil, the strength of the magnetic field and thereby the focal length of the lens ("refractive power") can be changed. A coil, which is surrounded by an iron shield, is traversed by an electric current. The magnetic field is concentrated by magnetic pole shoes. The magnetic field is rotationally symmetric. The magnification of a magnetic lens can therefore be continuously changed by changing the lens current. 15
  • 16. Magnetic lenses cannot be produced with the same precision as glass lenses. Therefore, the lenses of the electron microscope are rather poor compared to those of the light microscope, especially at longer distances from the optical axis. Due to the short wavelength of the electron, the effective deflection angles of the electron beam are very small (in the range of a few mrads (1mrad = (180/ The magnification power of a magnetic lens is quite low (50x for a typical objective lens). High magnifications are achieved by connectin a series of lenses that increase the first intermediate image produced by the objective lens. 16
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  • 21. A field emitter is used to generate an electron beam that has a smaller diameter, is more coherent and generates a current density of up to 3 orders of magnitude larger than conventional cathodes: better signal-to-noise ratio better resolution greater reliability longer life of the cathode 21
  • 22. Coherence The higher the coherence of the electron beam, the higher the resolution. Incoherence leads to chromatic aberration. 22
  • 25. Condenser: Combination of two magnetic lenses and two apertures: The diameter of the beam can be condensed from 1 mm to 1 nm. Objective lens: Limits the resolution to ~ 0.1 - 0.4 nm, depending on the lens parameters. The sample is inserted into the objective lens and located between the pole pieces. Intermediate lenses and projection lens: Different lenses produce final magnifications from 100x to 1,000,000x. The quality of these lenses is less critical because the deflection angle is much lower than in the objective lens. 25
  • 26. Lens aberrations Spherical aberration, axial astigmatism, coma and chromatic aberration are the major aberrations in electron microscopy. Spherical aberration: The spherical aberration reduces the focal length of electron beams passing through outer zones of the lens. The spherical aberration coefficients (Cs) of objective lenses are usually between 0.5 - 4 mm. 26
  • 27. Axial astigmatism: Electron beams, which move in two mutually perpendicular planes, have different focal lengths. 27 Lens aberrations
  • 28. Lens aberrations Chromatic aberrations: Variations of the electron energy and lens currents cause a variation of the focal length. This means that chromatic aberrations are generated by: Fluctuations of the acceleration voltage Energy distribution of the electron beam Energy losses due to inelastic scattering Fluctuations of the lens current. 28
  • 29. Lens aberrations Coma or comatic aberrations: A lens aberration occurring in the part of the image field that is some distance from the principal axis (off-axis) of the system. It results from different magnifications in the various lens zones Most severe when the microscope is not properly aligned. 29 Extra-axial object points appear as short, comet-like images (to have a tail (coma) like a comet).
  • 30. Next talk: Greg McMullan
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  • 36. 36 Optimal single particle cryo-EM equipment JEOL JEM 1400 LaB6 FEI G2 Spirit FEI Titan KRIOSFEI Talos Arctica
  • 37. Which biological samples can you examine with a transmission electron microscope? 37 SAMPLES Proteins/protein crystals Protein complexes Liposomes/proteoliposomes, viruses Microorganisms Sections of cells Sections of tissue Sections of small organisms Size
  • 38. Preparation of proteins, protein complexes and liposomes/proteoliposomes 38 Negative contrast EM Cryo-EM Preparation of proteins, protein complexes and liposomes/proteoliposomes for electron microscopy Single particle electron microscopy
  • 39. Metal grids as specimen carrier 39
  • 40. 40 Negative stain EM Samples are embedded in heavy metal layer (for example: uranyl formate, uranyl acetate, phospho tungstate, lead citrate) Advantages: • Easy • High contrast (small proteins can be visualized) Disadvantages: • Only surfaces of proteins. • Particle deformation by dehydration • Resolution is limited: ~ 20 Å
  • 44. Cryofixation 44 Advantages: No deformation of the particles. High to very high resolution. Disadvantage: Multiple exposures are difficult Low contrast (not useful for small proteins) 1 μm 20 nm
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  • 52. 52 Sample Cryo Preparation Electron Microscopy and Imaging Image Processing Model Building and Interpretation
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  • 54. Maps achieving given resolution levels: Resolution trends: Courtesy of H. Stahlberg
  • 55. EM squirrel X-ray squirrel These low-resolution Bloboligists…cryo-EM is useless.
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  • 57. 57 Cryo-EMX-ray Crystallography (& NMR) Correlative light and electron microscopy Atomic Level Cellular Level Light microscopy Structural Hybrid Approach Cryo-EM Cryo-ET + Subtomogram averaging
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