Atomic and molecular correlation energies with explicitly correlated Gaussian geminals. II. Perturbation treatment through third order for He, Be, H2, and LiH

1983 ◽  
Vol 79 (11) ◽  
pp. 5543-5552 ◽  
Author(s):  
Krzysztof Szalewicz ◽  
Bogumil/ Jeziorski ◽  
Hendrik J. Monkhorst ◽  
John G. Zabolitzky
Keyword(s):  
Third Order ◽  
Molecular Correlation ◽  
Explicitly Correlated

Atomic and molecular correlation energies with explicitly correlated Gaussian geminals. V. Cartesian Gaussian geminals and the neon atom

1986 ◽  
Vol 85 (7) ◽  
pp. 3964-3974 ◽  
Author(s):  
Klaus B. Wenzel ◽  
John G. Zabolitzky ◽  
Krzysztof Szalewicz ◽  
Bogumil/ Jeziorski ◽  
Hendrik J. Monkhorst
Keyword(s):  
Neon Atom ◽  
Molecular Correlation ◽  
Explicitly Correlated

Atomic and molecular correlation energies with explicitly correlated Gaussian geminals. III. Coupled cluster treatment for He, Be, H2, and LiH

1984 ◽  
Vol 81 (1) ◽  
pp. 368-388 ◽  
Author(s):  
Bogumil Jeziorski ◽  
Hendrik J. Monkhorst ◽  
Krzysztof Szalewicz ◽  
John G. Zabolitzky
Keyword(s):  
Coupled Cluster ◽  
Molecular Correlation ◽  
Explicitly Correlated

Probe size and 5th-order aberration

1987 ◽  
Vol 45 ◽  
pp. 134-135 ◽  
Author(s):  
Zhifeng Shao
Keyword(s):  
Electron Probe ◽  
Spherical Aberration ◽  
Wave Length ◽  
Cylindrical Symmetry ◽  
Electron Wave ◽  
Third Order ◽  
The Third ◽  
Probe Radius ◽  
Small Probe ◽  
Probe Size

A small electron probe has many applications in many fields and in the case of the STEM, the probe size essentially determines the ultimate resolution. However, there are many difficulties in obtaining a very small probe.Spherical aberration is one of them and all existing probe forming systems have non-zero spherical aberration. The ultimate probe radius is given byδ = 0.43Csl/4ƛ3/4where ƛ is the electron wave length and it is apparent that δ decreases only slowly with decreasing Cs. Scherzer pointed out that the third order aberration coefficient always has the same sign regardless of the field distribution, provided only that the fields have cylindrical symmetry, are independent of time and no space charge is present. To overcome this problem, he proposed a corrector consisting of octupoles and quadrupoles.

Children’s Recall of Approximations to English

1973 ◽  
Vol 16 (2) ◽  
pp. 201-212 ◽  
Author(s):  
Elizabeth Carrow ◽  
Michael Mauldin
Keyword(s):  
Language Development ◽  
Fourth Order ◽  
Third Order ◽  
Memory Processes ◽  
The Third ◽  
General Index ◽  
General Linguistic

As a general index of language development, the recall of first through fourth order approximations to English was examined in four, five, six, and seven year olds and adults. Data suggested that recall improved with age, and increases in approximation to English were accompanied by increases in recall for six and seven year olds and adults. Recall improved for four and five year olds through the third order but declined at the fourth. The latter finding was attributed to deficits in semantic structures and memory processes in four and five year olds. The former finding was interpreted as an index of the development of general linguistic processes.

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