Magnification variations due to illumination curvature and object defocus in transmission electron microscopy
Optics Express, Vol. 13, Issue 22, pp. 9085-9093 (2005)
http://dx.doi.org/10.1364/OPEX.13.009085
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Abstract
It has previously been shown that - in theory - magnification variations can occur in an imaging system as a function of defocus, depending on the field curvature of the illuminating system. We here present the results of practical experiments to verify this effect in the transmission electron microscope. We find that with illumination settings typically used in the electron microscopy of biological macromolecules, systematic variations in magnification of ∼ 0.5% per μm defocus can easily occur. This work highlights the need for a magnification-invariant imaging mode to eliminate or to compensate for this effect.
© 2005 Optical Society of America
OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(080.1010) Geometric optics : Aberrations (global)
(110.4850) Imaging systems : Optical transfer functions
(170.6900) Medical optics and biotechnology : Three-dimensional microscopy
(180.0180) Microscopy : Microscopy
(220.1000) Optical design and fabrication : Aberration compensation
ToC Category:
Research Papers
History
Original Manuscript: March 29, 2005
Revised Manuscript: October 24, 2005
Published: October 31, 2005
Citation
Gijs van Duinen, Marin van Heel, and Ardan Patwardhan, "Magnification variations due to illumination curvature and object defocus in transmission electron microscopy," Opt. Express 13, 9085-9093 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-22-9085
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References
- M. Adrian, J. Dubochet, J. Lepault, and A. W. McDowall, "Cryo-electron microscopy of viruses," Nature 308, 32-36 (1984). [CrossRef] [PubMed]
- R. Henderson, "The potential and limitations of neutrons, electrons and x-rays for atomic-resolution microscopy of unstained biological molecules," Q. Rev. Biophys. 28, 171-193 (1995). [CrossRef] [PubMed]
- M. van Heel, B. Gowen, R. Matadeen, E. Orlova, R. Finn, T. Pape, D. Cohen, H. Stark, R. Schmidt, M. Schatz, and A. Patwardhan, "Single-particle electron cryo-microscopy: towards atomic resolution," Q. Rev. Biophys. 33, 307-369 (2000). [CrossRef]
- B. P. Klaholz, A. G. Myasnikov, and M. van Heel, "Visualization of release factor 3 on the ribosome during termination of protein synthesis," Nature 427, 862-865 (2004). [CrossRef] [PubMed]
- M. van Heel and J. Frank, "Use of multivariate statistics in analysing the images of biological macromolecules,"Ultramicroscopy 6, 187-194 (1981). [PubMed]
- M. van Heel, "Multivariate statistical classification of noisy images (randomly oriented biological macromolecules)," Ultramicroscopy 13, 165-183 (1984). [CrossRef] [PubMed]
- M. van Heel, "Angular reconstitution: a posteriori assignment of projection directions for 3D reconstruction," Ultramicroscopy 21, 111-124 (1987). [CrossRef] [PubMed]
- F. Zernike, "Phase contrast, a new method for the microscopic observation of transparent objects," Physica IX, 686-698 (1942). [CrossRef]
- O. Scherzer, "The theoretical resolution limit of the electron microscope," J. Appl. Phys. 20, 20-29 (1949). [CrossRef]
- J. W. Goodman, Introduction to fourier optics (The McGraw-Hill Companies, Inc., Singapore, 1996).
- K.-J. Hanzen, "The optical transfer theory of the electron microscope: fundamental principles and applications,"Advances in optical and electron microscopy 4, 1-84 (1971).
- L. Reimer, Transmission Electron Microscopy: Physics of Image Formation and Microanalysis (Springer-Verlag, New York, 1997).
- J. Frank, "The envelope of electron microscopic transfer functions for partially coherent illumination," Optik 38, 519-536 (1973).
- C. J. Humphreys and J. C. H. Spence, "Resolution and illumination coherence in electron microscopy," Optik 58, 125-144 (1981).
- R. H. Wade and J. Frank, "Electron microscope transfer functions for partially coherent axial illumination and chromatic defocus spread," Optik 49, 81-92 (1977).
- D. L. Misell, "On the validity of the weak-phase and other approximations in the analysis of electron microscope images," J. Phys. D 9, 1849-1866 (1976). [CrossRef]
- M. van Heel, "On the imaging of relatively strong objects in partially coherent illumination in optics and electron optics," Optik 47, 389-408 (1978).
- W. O. Saxton, Computer Techniques for Image Processing in Electron Microscopy (Academic Press, New York, 1978).
- A. Aldroubi, B. L. Trus, M. Unser, F. P. Booy, and A. C. Steven, "Magnification mismatches between micrographs: corrective procedures and implications for structural analysis," Ultramicroscopy 46, 175-188 (1992). [CrossRef] [PubMed]
- M. M. Bijlholt, M. G. van Heel, and E. F. van Bruggen, "Comparison of 4 X 6-meric hemocyanins from three different arthropods using computer alignment and correspondence analysis," J. Mol. Biol. 161, 139-153 (1982). [CrossRef] [PubMed]
- A. Patwardhan, "Coherent non-planar illumination of a defocused specimen: consequences for transmission electron microscopy," Optik 113, 4-12 (2002). [CrossRef]
- A. Patwardhan, "Transmission electron microscopy of weakly scattering objects described by operator algebra," J. Opt. Soc. Am. A 20, 1210-1222 (2003). [CrossRef]
- N. G. Wrigley, "The lattice spacing of crystalline catalase as an internal standard of length in electron microscopy," J. Ultrastruct. Res. 24, 454-464 (1968). [CrossRef] [PubMed]
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