Structure of Neutral Mesonic Atoms Formed in Liquid Helium. III. More Accurate Treatment of the Electron Wavefunction

L. C. Chen; J. Guo; J. E. Russell

doi:10.1063/1.1665821

Structure of Neutral Mesonic Atoms Formed in Liquid Helium. III. More Accurate Treatment of the Electron Wavefunction

Journal of Mathematical Physics ◽

10.1063/1.1665821 ◽

1971 ◽

Vol 12 (9) ◽

pp. 1906-1913 ◽

Cited By ~ 17

Author(s):

L. C. Chen ◽

J. Guo ◽

J. E. Russell

Keyword(s):

Liquid Helium ◽

Accurate Treatment ◽

Electron Wavefunction

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A Superconducting Microscope

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100064104 ◽

1971 ◽

Vol 29 ◽

pp. 10-11 ◽

Cited By ~ 1

Author(s):

R. E. Worsham ◽

J. E. Mann ◽

E. G. Richardson

Keyword(s):

Liquid Helium ◽

Focal Length ◽

Vacuum System ◽

Objective Lens ◽

Electrical Instability ◽

Radiation Shields ◽

And Control ◽

Thermal Oscillations ◽

Flux Pump

This superconducting microscope, Figure 1, was first operated in May, 1970. The column, which started life as a Siemens Elmiskop I, was modified by removing the objective and intermediate lenses, the specimen chamber, and the complete vacuum system. The large cryostat contains the objective lens and stage. They are attached to the bottom of the 7-liter helium vessel and are surrounded by two vapor-cooled radiation shields.In the initial operational period 5-mm and 2-mm focal length objective lens pole pieces were used giving magnification up to 45000X. Without a stigmator and precision ground pole pieces, a resolution of about 50-100Å was achieved. The boil-off rate of the liquid helium was reduced to 0.2-0.3ℓ/hour after elimination of thermal oscillations in the cryostat. The calculated boil-off was 0.2ℓ/hour. No effect caused by mechanical or electrical instability was found. Both 4.2°K and 1.7-1.9°K operation were routine. Flux pump excitation and control of the lens were quite smooth, simple, and, apparently highly stable. Alignment of the objective lens proved quite awkward, however, with the long-thin epoxy glass posts used for supporting the lens.

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Water accumulation as a function of temperature on specimens in an electron microscope cold stage

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100142219 ◽

1986 ◽

Vol 44 ◽

pp. 114-115 ◽

Cited By ~ 2

Author(s):

M.K. Lamvik ◽

D.A. Kopf ◽

S.D. Davilla ◽

J.D. Robertson

Keyword(s):

Electron Microscope ◽

Mass Loss ◽

Liquid Helium ◽

Liquid Nitrogen ◽

Liquid Nitrogen Temperature ◽

Liquid Helium Temperature ◽

Helium Temperature ◽

Cold Stage ◽

Water Accumulation ◽

Better Than

Last year we reported1 that there is a striking reduction in the rate of mass loss when a specimen is observed at liquid helium temperature. It is important to determine whether liquid helium temperature is significantly better than liquid nitrogen temperature. This requires a good understanding of mass loss effects in cold stages around 100K.

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A Simple Real-Space Channelling Theory for Electron Diffraction and HREM

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100179075 ◽

1990 ◽

Vol 48 (1) ◽

pp. 64-65

Author(s):

D. Van Dyck

Keyword(s):

High Resolution ◽

Electron Diffraction ◽

Direct Method ◽

Real Space ◽

Zone Axis ◽

Phase Object ◽

High Resolution Images ◽

The Many ◽

Analytical Expressions ◽

Electron Wavefunction

The computation of the many beam dynamical electron diffraction amplitudes or high resolution images can only be done numerically by using rather sophisticated computer programs so that the physical insight in the diffraction progress is often lost. Furthermore, it is not likely that in this way the inverse problem can be solved exactly, i.e. to reconstruct the structure of the object from the knowledge of the wavefunction at its exit face, as is needed for a direct method [1]. For this purpose, analytical expressions for the electron wavefunction in real or reciprocal space are much more useful. However, the analytical expressions available at present are relatively poor approximations of the dynamical scattering which are only valid either for thin objects ((weak) phase object approximation, thick phase object approximation, kinematical theory) or when the number of beams is very limited (2 or 3). Both requirements are usually invalid for HREM of crystals. There is a need for an analytical expression of the dynamical electron wavefunction which applies for many beam diffraction in thicker crystals. It is well known that, when a crystal is viewed along a zone axis, i.e. parallel to the atom columns, the high resolution images often show a one-to-one correspondence with the configuration of columns provided the distance between the columns is large enough and the resolution of the instrument is sufficient. This is for instance the case in ordered alloys with a column structure [2,3]. From this, it can be suggested that, for a crystal viewed along a zone axis with sufficient separation between the columns, the wave function at the exit face does mainly depend on the projected structure, i.e. on the type of atom columns. Hence, the classical picture of electrons traversing the crystal as plane-like waves in the directions of the Bragg beams which historically stems from the X-ray diffraction picture, is in fact misleading.

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