A practical method to detect and correct for lens distortion in the TEM.

A practical, offline method for experimental detection and correction for projector lens distortion in the transmission electron microscope (TEM) operating in high-resolution (HR) and selected area electron diffraction (SAED) modes is described. Typical TEM works show that, in the simplest case, the distortion transforms on the recording device, which would be a circle into an ellipse. The first goal of the procedure described here is to determine the elongation and orientation of the ellipse. The second goal is to correct for the distortion using an ordinary graphic program. The same experimental data set may also be used to determine the actual microscope magnification and the rotation between SAED patterns and HR images. The procedure may be helpful in several quantitative applications of electron diffraction and HR imaging, for instance while performing accurate lattice parameter determination, or while determining possible metrical deviations (cell edges and angles) from a given symmetry.

[1]  S. Hovmöller,et al.  Accurate atomic positions from electron microscopy , 1984, Nature.

[2]  Yoshinori Fujiyoshi,et al.  Atomic model of plant light-harvesting complex by electron crystallography , 1994, Nature.

[3]  S. Hovmöller,et al.  A crystal structure determined with 0.02 Å accuracy by electron microscopy , 1996, Nature.

[4]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[5]  L. Folco,et al.  Sigmoidal exsolution by internal shear stress in pyroxenes from chondritic meteorites , 2003 .

[6]  S. Colowick,et al.  Methods in Enzymology , Vol , 1966 .

[7]  Hai-fu Fan,et al.  Incommensurate modulation in minute crystals revealed by combining high-resolution electron microscopy and electron diffraction , 1994 .

[8]  K. Tsuno,et al.  Elimination of spiral distortion in electron microscopy using an asymmetrical triple pole-piece lens , 1981 .

[9]  W. O. Saxton,et al.  The importance of beam alignment and crystal tilt in high resolution electron microscopy , 1983 .

[10]  William H. Press,et al.  Numerical recipes in C , 2002 .

[11]  R. Henderson,et al.  Molecular structure determination by electron microscopy of unstained crystalline specimens. , 1975, Journal of molecular biology.

[12]  P. Buseck,et al.  Revised structure models for antigorite: An HRTEM study , 2002 .

[13]  P. Midgley,et al.  Zinc Vanadates in Vanadium Oxide‐Doped Zinc Oxide Varistors , 2004 .

[14]  Tsuda,et al.  Refinement of crystal structural parameters using two-dimensional energy-filtered CBED patterns. , 1999, Acta crystallographica. Section A, Foundations of crystallography.

[15]  A. Howie,et al.  Electron Microscopy of Thin Crystals , 1977, Nature.

[16]  S. Hovmöller,et al.  ELD : a computer program system for extracting intensities from electron diffraction patterns , 1993 .

[17]  Sven Hovmöller,et al.  CRISP: crystallographic image processing on a personal computer , 1992 .

[18]  R. Henderson,et al.  Model for the structure of bacteriorhodopsin based on high-resolution electron cryo-microscopy. , 1990, Journal of molecular biology.

[19]  K. Tsuno,et al.  Minimisation of radial and spiral distortion in electron microscopy through the use of a triple pole-piece lens , 1981 .

[20]  Z. Zhao,et al.  STRUCTURAL FEATURES OF THE INCOMMENSURATE MODULATION IN THE PB-DOPED BI-2223 HIGH-TC PHASE REVEALED BY DIRECT-METHOD ELECTRON-DIFFRACTION ANALYSIS , 1992 .

[21]  M. O'Keefe,et al.  Electron microscopy at 1-Å resolution by entropy maximization and likelihood ranking , 1992, Nature.

[22]  K. Shankland,et al.  The use of maximum entropy and likelihood ranking to determine the crystal structure of 4-(4′-(N,N-dimethyl)aminobenzylidene)-pyrazolidine-3,5-dione at 1.4 Å resolution from electron diffraction and high-resolution electron microscopy image data , 1994 .

[23]  M. Vallet‐Regí,et al.  The complex perovskite-related superstructure Ba2Fe2O5 solved by HREM and CIP , 1993 .

[24]  J. Turner,et al.  Electron crystallography at atomic resolution: ab initio structure analysis of copper perchlorophthalocyanine. , 1991, Ultramicroscopy.