Higher order Laue zone effects in electron diffraction and their use in lattice parameter determination

By fitting small probe-forming lenses into a conventional electron microscope, we have been able to observe higher order Laue zone (h.o.l.z.) diffraction effects from high symmetry zone axes of a wide variety of materials. Cooling the specimen with liquid nitrogen both greatly reduces the contamination rate and increases the visibility of the h.o.l.z. lines. An interpretation of these lines is given in terms of the dispersion surface construction and conditions for the visibility of h.o.l.z. effects are deduced. A theory from which numerical solutions have been obtained is outlined. Using h.o.l.z. lines, we can deduce the microscope operating voltage or the lattice parameter of the specimen to approximately one part in a thousand; relative changes can be measured about five times more precisely. The spatial resolution of the technique is approximately 10 nm. Strain gradients within the illuminated area can produce fringe patterns.

[1]  B. Buxton Bloch waves and higher order Laue zone effects in high energy electron diffraction , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[2]  P. Goodman Role of upper-layer interactions in electron diffraction symmetries , 1974, Nature.

[3]  D. Cherns Direct resolution of surface atomic steps by transmission electron microscopy , 1974 .

[4]  P. Goodman,et al.  Numerical evaluations of N‐beam wave functions in electron scattering by the multi‐slice method , 1974 .

[5]  M. Hart,et al.  The electron distribution in silicon - I. Experiment , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  M. Berry Diffraction in crystals at high energies , 1971 .

[7]  V. Cosslett,et al.  High-Voltage Electron Microscopy , 1968, Quarterly Reviews of Biophysics.

[8]  A. Howie,et al.  Approximations of the dynamical theory of diffraction contrast , 1968 .

[9]  P. Goodman,et al.  Observation of the breakdown of Friedel's law in electron diffraction and symmetry determination from zero‐layer interactions , 1968 .

[10]  P. Turner,et al.  Relativistic Hartree–Fock X‐ray and electron scattering factors , 1968 .

[11]  J. Gjønnes,et al.  Dynamical diffuse scattering from magnesium oxide single crystals , 1966 .

[12]  A. Howie,et al.  Diffraction channelling of fast electrons and positrons in crystals , 1966 .

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

[14]  V. Heine,et al.  On the General Theory of Surface States and Scattering of Electrons in Solids , 1963 .

[15]  B. Batterman,et al.  Vibrational Amplitudes in Germanium and Silicon , 1962 .