Enter your search keyword(s):

Click to search our directories-AllWebHunt, Encyclopedic, TopChoice, Or Google, Alexa, About & Yahoo:

 


Complex Systems
Home / Top / Science / Math / Applications / Complex Systems See also:
Related articles

Edit | Discuss Article

Complex

A complex is a collection of buildings closely packed together normally with a perimeter wall or fence surrounding them.

In psychology, a 'complex is an important principle in psychoanalysis and other schools.


This article is about complexes in chemistry; see complex number for the mathematical and engineering usage.

In chemistry, a complex is a structure composed of a central metal atom or ion, generally a cation, surrounded by a number of negatively charged ions or neutral molecules possessing lone pairs. A complex may also be called a coordination compound or metal complex.

The ions/molecules surrounding the metal are called ligands. A ligand that is bound to a metal ion is said to be coordinated with the ion. The process of binding to the metal ion with more than one coordination site per ligand is called chelation. Compounds that bind avidly to form complexes are thus called chelating agents (for example, EDTA).

Simple ligands like water or chlorine form only one link with the central atom and are said to be monodentate. Some ligands are capable of forming multiple links to the same metal atom, and are described as bidentate, tridentate etc. EDTA is hexadentate, which accounts for the great stability of many of its complexes.

Typically, the chemistry of complexes is dominated by interactions between s and p orbitals of the ligands and the d (or f) orbitals of the metal ions. Because of this, simple octet bonding theory fails in the case of complexes and to understand the chemistry of these systems, a deeper understanding of chemical bonding rules is necessary.

One such rule is called electron counting, or the rule of 18. Crystal field theory, introduced by Hans Bethe in 1929, is a more quantum mechanically based attempt at understanding complexes. But crystal field theory treats all interactions in a complex as ionic. Ligand field theory, introduced in 1935 and built from molecular orbital theory, can handle a broader range of complexes and can explain complexes in which the interactions are covalent. The chemical applications of group theory can aid in the understanding of crystal or ligand field theory, by allowing simple, symmetry based solutions to the formal equations.

Naming complexes

The basic procedure for naming a complex:
  1. Write the names of the ligands in alphabetical order.
    • Multiply occurring monodentate ligands receive a prefix according to the number of occurrences: di-, tri-, tetra-, penta-, or hexa. Polydentate ligands (e.g., ethylenediamine, oxalate) receive bis-, tris-, tetrakis-, etc.
    • Anions end in o. This replaces the final 'e' when the anion ends with '-ate', e.g. sulfate becomes sulfato. It replaces 'ide': cyanide becomes cyano.
    • Neutral ligands are given their usual name, with some exceptions: NH3 becomes ammine; H2O becomes aqua; CO becomes carbonyl.
  2. Write the name of the central atom/ion. If the complex is an anion, the central atom's name will end in -ate, and its Latin name will be used if available (except for mercury).
  3. If the central atom's oxidation state needs to be specified (when it is one of several possible, or zero), write it as a Roman numeral (or 0) in parentheses.

Examples:
[NiCl4]2- → tetrachloronickelate (II) ion
[CuNH3Cl5]3- → amminepentachlorocuprate(II) ion
[Cd(en)2(CN)2] → dicyanobisethylenediaminecadmium(II)

Transition metals make good central ions for complexes.

To study the behaviour of complexes in solution, it is possible to record pH spectra which shows the interaction between complexing agent and central ion as a function of the degree of dissociation of their functional groups, see the Cordis Online Abstract at http://www.theoprax-research.com/cordisth.htm or the free pH-spectra database at http://www.Theoprax-Research.com/pool.html.


Source | Copyright


Webmasters: Add your website here:

Readers: Edit | Discuss Listings

Application to Economics
Complex dynamics arises in New Keynesian models.
http://csf.colorado.edu/pkt/seminars/rosser/rosser.htm

Traffic Science Forum
Systems of interacting vehicles on a highway
http://www.trafficforum.org/

The Complexity and Artificial Life Research Concept for Self-Organizing Systems
attractors, artificial life, cellular automata, fractals, genetic algorithms, neural networks ..
http://www.calresco.org/

Intelligent Living Systems, Brandeis Complex Systems
Watt is life?, Intelligent Systems, autocatalytic growth..
http://www.cs.brandeis.edu/~brendy/life_sys.html

Links on Complexity, Self-organization and Artificial Life
A collection of annotated links.
http://pespmc1.vub.ac.be/COMSELLI.html

Principia Cybernetica Web
Tackle age-old philosophical questions with the cybernetic theories.
http://pcp.lanl.gov/

The Complex Dynamics of Scientific Communication
Historical overview and speculation about future.
http://home.pscw.uva.nl/lleydesdorff/scicomm/

EconoPhysics
Application of Mathematical Methods to Societal Problems
http://www.unifr.ch/econophysics/

WWW Virtual Library: Complex Systems
Complex Systems resources and links
http://complex.csu.edu.au/complex/library/

The New Artificial Life (Alife) Database
A searchable database of artificial life-related sites.
http://www.aridolan.com/ad/adb/adtop.html

Complex Systems Research Center at New Hampshire, USA
Part of Institute for the Study of Earth, Oceans, and Space (EOS), investigates the effects of human disturbance on the Earth's biogeochemical processes. Part of Geo-Web ring.
http://www.csrc.sr.unh.edu/

Complexity and Life
Information and links on the work of the theoretical biologist Robert Rosen (1934-1998).
http://www.panmere.com/rosen/

CSIMTA 2004
First international conference on Complex Systems, Intelligence and Modern Technology Applications. Cherbourg, France; 19--22 September 2004.
http://www.chbg.unicaen.fr/lusac/csimta/

Pattern Formation in Large Domains
Research session at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK; 1 August -- 23 December 2005.
http://www.newton.cam.ac.uk/programmes/PFD/

turbor - turbulence and complex emergencies
Research on turbulence, both in natural and man-made complex systems
http://www.turbor.net

Stochastic Methods in Coagulation and Fragmentation
EuroWorkshop in association with the programme on 'Interaction and Growth in Complex Stochastic Systems'. Isaac Newton Institute, Cambridge, UK; 8--12 December 2003.
http://www.newton.cam.ac.uk/programmes/IGS/igsw04.html

Probability and Statistics in Complex Systems
Genomics, Networks, and Finance Engineering. Annual Program at the IMA, University of Minnesota. September 2003 -- June 2004.
http://www.ima.umn.edu/complex/

Complex Adaptive Systems Research
Collection of links.
http://www.casresearch.com/

ACE studies, Iowa State University, USA
Agent-based computational economics.
http://www.econ.iastate.edu/tesfatsi/

Complex Systems Research on Parallel Computers
Web text by Russell K. Standish on a multidisciplinary field covering the gamut from Physics, Mathematics, Computer Science, Biology to Economics.
http://parallel.hpc.unsw.edu.au/rks/docs/parcomplex/

Debate on Complexity,
How can complexity theory reshape the way scholars examine evolution, economics, and many other fields?
http://chronicle.com/colloquylive/2001/05/complexity/

Complexity Made Simple
An introduction to the science of Complexity for managers of organizations.
http://www.lciweb.com/Complexity/

Complex Systems Survey
PSL survey - extensive list of links to resources and groups.
http://www-psych.nmsu.edu/~linda/complex/

The DESIRE Research Programme
Study of compositional multi-agent systems for complex systems.
http://www.cs.vu.nl/vakgroepen/ai/projects/desire/

Society for Chaos Theory on Psychology and Life Sciences (SCTPLS)
News, tutorials, data library, and information on conferences.
http://www.societyforchaostheory.org/

Dynamical Complexity and Regularity
Dynamic laws are classified and conjecture that the regular laws cannot produce organic structures is discussed.
http://www.iscid.org/papers/Johns_DynamicalComplexity_020102.pdf

EXYSTENCE
EU 'Complex Systems' research project
http://www.complexityscience.org/

Complex Systems Survey
Extensive index compiled at NMSU.
http://psych.NMSU.Edu/~linda/complex/

Self-organization and complex systems
Interview with Stuart Kauffman, MacArthur fellow, transcribed by ISCID.
http://www.iscid.org/stuartkauffman-chat.php

New Kind of Science
Complexity, Cellular automata and Everything.
http://www.stephen-wolfram-new-kind-of-science.com/

Dissipative systems DYNAMICS
Dynamics and bifurcations of patterns in dissipative systems.
http://www.math.colostate.edu/~juliana/DynBifPat.html

The Science of Complexity
Intro with computer program samples
http://www.ddj.com/documents/s=7570/ddj0210a/0210a.htm



Help build the largest human-edited directory on the web.
 Submit a Site - Open Directory Project (modified) - Become an Editor

Modified contents copyright 2008. All rights reserved.