Summary
The electric field around a molecule is generated by the charge dis tribution of its constituents: positively charged atomic nuclei, which are well approximated by point charges, and negatively charged electrons, whose proba bility density distribution can be computed from quantum mechanics (Atoms in Molecules: A Quantum Theory, Clarendon, Oxford, 1990). For the purposes of molecular mechanics or dynamics, the charge distribution is often approximated by a collection of point charges, with either a single partial charge at each atomic nucleus position, representing both the nucleus and the electrons near it, or as several different point charges per atom.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
[deB00] de Berg, M., van Kreveld, M., Overmars, M., Schwarzkopf, O.: Computa tional Geometry: Algorithms and Applications, Second Edition, Springer, Berlin, (2000)
Stalling, D., Westerhoff, M., Hege, H.-C: Amira: A Highly Interactive System for Visual Data Analysis. In: Hansen, C, Johnson, C. (eds) The Visualization Handbook, Elsevier, 749–767 (2005)
[Ba90] Bader, R.F.W.: Atoms in Molecules: A Quantum Theory. Clarendon Press, Oxford (1990)
[Ja62] Jackson, J. D.: Classical Electrodynamics. Wiley, New York (1962)
Mann, S., Rockwood, A.: Computing Singularities of 3D Vector Fields with Geometric Algebra. In: Moorhead, R., Gross, M., Joy, K (eds) Proceedings of IEEE Visualization 2002, 283–289 (2002)
[Sch94] Scharf, G.: From Electrostatics to Optics: A Concise Electrodynamics Course. Springer-Verlag, Berlin (1994)
Stalling, D., Steinke, T.: Visualization of Vector Fields in Quan tum Chemistry. ZIB Preprint SC-96-01. ftp://ftp.zib.de/pub/zib-publications/reports/SC-96-01.ps
Theisel, H., Weinkauf, T., Hege, H.-C, Seidel, H.-P.: Saddle Connectors -An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields. In: Turk, G, van Wijk, J.J., Moorhead, R. (eds) Proceedings of IEEE Visualization 2003, 225-232 (2003)
Wikipedia entry on spherical multipole moments.http://en.wikipedia. org/wiki/Spherical_multipole_moments
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Max, N., Weinkauf, T. (2009). Critical Points of the Electric Field from a Collection of Point Charges. In: Hege, HC., Polthier, K., Scheuermann, G. (eds) Topology-Based Methods in Visualization II. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88606-8_8
Download citation
DOI: https://doi.org/10.1007/978-3-540-88606-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88605-1
Online ISBN: 978-3-540-88606-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)