Use of XαSW calculations for parametrising the CNDO method for the heavier elements. II. Tests for the elements aluminium to sulphur

1979 ◽  
Vol 57 (14) ◽  
pp. 1826-1838 ◽  
Author(s):  
J. D. Head ◽  
K. A. R. Mitchell

In Part I (Mol. Phys. 35, 1681 (1978)) we used results from the Xα scattered wave (XαSW) method for guiding the parametrisation of the complete neglect of differential overlap (CNDO) method for clusters of silver, and we proposed the extension of this approach to other heavier elements for which CNDO schemes are not well developed. The main purpose of the present paper is to test this approach for the elements aluminium to sulphur for which more information is available. XαSW calculations have been made for the molecular clusters Al7, Si5H12, and P4, and comparisons made with experiment and with other calculations where possible. The charge distributions and transition-state energies, along with information obtained previously for S8 by Salahub et al., have been used to derive new parameters (designated CNDO/HM) for the elements aluminium to sulphur essentially following the procedure in Part I. Calculations using these parameters have then been tested against an XαSW calculation made here for an Al10 cluster (which simulates the (111) surface of aluminium), and against other calculations made previously for P8, P4S3, SiH4, PH3, H2S, and SO2. Comparisons are also made with results from the CNDO/2 scheme. Generally the CNDO/HM procedure seems at least as successful as CNDO/2.

1977 ◽  
Vol 55 (4) ◽  
pp. 669-681 ◽  
Author(s):  
John D. Head ◽  
Keith A. R. Mitchell ◽  
Louis Noodleman ◽  
Norman L. Paddock

The electronic structure of P4S3 has been investigated by the Xα scattered wave (XαSW) method as well as by the extended Hückel (EH) and complete neglect of differential overlap (CNDO) molecular orbital methods. The XαSW method gives a particularly good account of the ionization energies determined by HeI photoelectron spectroscopy. The valence shell levels fall into two groups. Those of lower energy are for the most part multicentre orbitals having high s character. The upper occupied levels are non-bonding or weakly bonding, and have a large p component. Contour plots of wave functions and charge distributions emphasize the importance of 'bent bonding' associated with electron density outside the framework of the cage structure, and of multicentre density inside the cage structure. These calculations provide a basis for understanding the relationship between the chemical properties of P4S3 and its electronic structure.


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