Application of a High‐Speed Electronic Computer in Diffusion Kinetics

1958 ◽  
Vol 28 (6) ◽  
pp. 1126-1129 ◽  
Author(s):  
Donald A. Flanders ◽  
Hugo Fricke
2021 ◽  
Author(s):  
◽  
John Patrick Macarthur Bailey

<p>This thesis, the first thesis in theoretical chemistry submitted for the degree of Master of Science at Victoria University of Wellington, has been designed to illustrate two alternative approaches to theoretical studies. The first five chapters illustrate the modern use of operator methods; the last two are concerned mainly with molecular orbital calculations for large organic molecules, using a giant high speed electronic computer. I am deeply indebted to Mr Keith Morris, of the Applied Mathematics Division, Department of Scientific and Industrial Research, for his generous and highly competent help in writing computing programs, and operating computers, at all odd hours of the day and night, for the calculations in this thesis. I would also like to thank Dr R.M. Golding, for useful discussions, and the Director, Applied Mathematics Division, Department of Scientific and Industrial Research, for making computing facilities available.</p>


A method is described whereby an electronic computer, the EDSAC, may be used to select a set, or sets, of signs for the coefficients F (h) of a Fourier series, such that the Fourier series, satisfies a certain condition. This condition is expressed as X ≡ Ʃ h Ʃ h ' P (h,h') S (h) S (h') S (h+h')≽ X 0 , where S (h) denotes the sign of F (h) and P (h, h') is a weighting factor related to the probability that S (h) S (h') = S (h+h'). In certain circumstances the determination of a crystal structure which is beyond the range of other direct methods is possible by this procedure.


This paper discusses some possible procedures for crystal structure determination using the X criterion developed in the preceding paper of the series. In that paper it was shown that, under favourable circumstances, the signs of the largest terms in the Fourier series representa­tion of ρ , the electron density in the unit cell, can be determined directly. The magnitudes of these terms can be found by experiment. In less favourable cases the correct set of signs, to a high degree of probability, lies among several hundred possible sets which can be determined by the processes described. A new criterion is proposed for selection of a lesser number, say a dozen, ‘most probable’ sets of signs. These latter sets can be tested by inspection of the corre­sponding contour maps of ρ . The new criterion has been successfully used in determining the unknown structure of nitroguanidine. Techniques for the selection of most probable sets and also for evaluation of ρ at suitable points in space using an electronic computer, the EDSAC, are described.


1991 ◽  
Vol 26 (6) ◽  
pp. 743-760 ◽  
Author(s):  
Jose M. Rodriguez-maroto ◽  
David J. Wilson

2021 ◽  
Author(s):  
◽  
John Patrick Macarthur Bailey

<p>This thesis, the first thesis in theoretical chemistry submitted for the degree of Master of Science at Victoria University of Wellington, has been designed to illustrate two alternative approaches to theoretical studies. The first five chapters illustrate the modern use of operator methods; the last two are concerned mainly with molecular orbital calculations for large organic molecules, using a giant high speed electronic computer. I am deeply indebted to Mr Keith Morris, of the Applied Mathematics Division, Department of Scientific and Industrial Research, for his generous and highly competent help in writing computing programs, and operating computers, at all odd hours of the day and night, for the calculations in this thesis. I would also like to thank Dr R.M. Golding, for useful discussions, and the Director, Applied Mathematics Division, Department of Scientific and Industrial Research, for making computing facilities available.</p>


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