From heelisp@delta.newi.ac.uk  Mon Apr 24 08:19:09 1995
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From: <heelisp@delta.newi.ac.uk>
Date: Mon, 24 Apr 1995 13:06:01 +0100
Message-Id: <95042413060145@delta.newi.ac.uk>
To: chemistry@ccl.net
Subject: CCL summary, residue exposure to solvent"
X-VMS-To: SMTP%"chemistry@ccl.net"


From Paul Heelis
North East 
Wales Institute
UK
Recently I posted the following request for help on analyzing solvent exposure
of residues in proteins.
Thanks to all who replied. Here's a summary of the replies


The original posting  
> Does anyone know of a program that can analyse a Brookhaven PDB file and
determine the degree of exposure of a particular residue to the surrounding
solvent and/or measure the effective dielectric constant of its environment.


***********************************************************

From:	SMTP%"polowin@hyper.hyper.com"
To:	heelisp
CC:	
Subj:	Re:  CCL:PDB files, residue solvent exposure

Hi, Paul.


The first part can be done with HyperChem and the QSAR Properties module of
ChemPlus.  One would select each residue, one at a time, and import the complete
structure into the module.  The solvent-accessible area is calculated only for
the selected part.  The process would be automated by an Excel macro or a Visual
Basic program.

Regards,
Joel

------------
Joel Polowin, Ph.D.   Manager, Scientific Support
Email to: polowin@hyper.com 

Hypercube Inc, 7-419 Phillip St, Waterloo, Ont, Canada N2L 3X2 (519)725-4040
Info requests to: info@hyper.com    Support questions to: support@hyper.com
Email group: Send "subscribe hyperchem" to hyperchem-request@hyper.com
***********************************************************

From:	SMTP%"tripos!rigel!david@uunet.uu.net"
To:	heelisp
CC:	
Subj:	Re: CCL:PDB files, residue solvent exposure

Paul,
  The upcoming 6.2 release of Sybyl from Tripos includes a new module called
ProTable for the analysis of protein structures.  In addition to numerous
other quantities, ProTable displays the relative solvent accessibility of   each
residue in a protein structure.  It uses the latest version of SAVOL   from Bob
Pearlman and colleagues at the University of Texas, Austin to   compute the
solvent accessibile surface areas for each atom.

  Let me know if you'd like more information.

David Mosenkis  (david@tripos.com)Tripos, Inc.


***********************************************************
From:	SMTP%"goulpj@essex.ac.uk"
To:	heelisp <heelisp@delta.newi.ac.uk>
CC:	
Subj:	Re: CCL:PDB files, residue solvent exposure

Hi Paul,

There is a program called whatif around.

we use it alot here.It is free to Academia

you can get it from 

Gert Vriend at EMBL

It is an alround great program that does lots 

and lots of different things.

I can not remember his email but i reckon you

should be able to find him pretty easily .

***********************************************************

From:	SMTP%"V050PFB6@ubvms.cc.buffalo.edu"
To:	heelisp@delta.newi.ac.uk
CC:	
Subj:	Re: PDB files, residue solvent exposure

Hi Paul,

 The authors are Habsch and Sander.  the
ref. is Biopolymers vol 22 (1983) pp 2577-2637. The paper says DSSP will be
avail. from PDB, but I think we wrote directly to Sander.  Sander's e-mail
address is

   Chris.Sander@EMBL-Heidelberg.DE

see ya,
Don

***********************************************************

From:	SMTP%"tripos!carme!akbar@uunet.uu.net"
To:	uunet!delta.newi.ac.uk!heelisp@uunet.uu.net
CC:	
Subj:	Re: CCL:PDB files, residue solvent exposure 


Dear Paul,

A Sybyl module called ProTable is to be released this summer with version6.2 of
Sybyl. ProTable, besides having the functionality of calculatingresidue solvent
exposures, also provides a number of different descriptorsfor the residues in a
protein. The solvent accessibility calculation isbased on SAVOL, a program from
Prof. Robert Pearlman and collegues atTexas, Austin. It is very efficient and
accurate.

Sincerely,

Akbar NayeemBiopolymer Scientist, Tripos Inc.


***********************************************************Subj:	Re: CCL:PDB
files, residue solvent exposure

Hi again,

His e-mail address is Gert.Vreind@EMBL-Heidelberg.de

He is not around for a while but you

can still give him a try. He is in Brazil or some such

place.

Paul
================== RFC 822 Headers ==================
***********************************************************
From:	SMTP%"arne@hodgkin.mbi.ucla.edu"
To:	heelisp@delta.newi.ac.uk
CC:	
Subj:	CCL:PDB files, residue solvent exposure

I guess you have received somethng usefull by now.
All (?) the major Molecular mechanics packages does this.

I use the algorithm by Legrand & Merz (JCC 1993) and could probably makeyou a
quick hack if you do not find anything else. (at the moment the 
routines are incorporated in a way too big program). Unfortunatelyit is in
fortran, so you'd need a fortran compiler.

arne

***********************************************************
From:	SMTP%"Antoine.Daruvar@embl-heidelberg.de"
To:	heelisp
CC:	
Subj:	Re: DSSP

Dear Paul Heelis,

DSSP is sent via e-mail as a C source code that can be compile on any system
(having a C compiler).

Information for the compilation are sent together with the program.

Antoine de Daruvar

From eslone@osf1.gmu.edu  Mon Apr 24 08:47:55 1995
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Subject: Clarification on trivia question
To: chemistry@ccl.net
Date: Mon, 24 Apr 1995 08:42:10 -0400 (EDT)
From: "J. Eric Slone" <eslone@osf1.gmu.edu>
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I've had alot of "please summarize" responses... but no submissions yet!
One clarification though, I mean by my question 'what molecule is
composed of the greatest number of different elements', so something
like acetic acid would count as 3 (C, H, O).  The molecule should also
exist, naturally or synthetically, theoretical molecules don't count.

I've seen a similar question for linguists (what English word uses the
most different letters from the alphabet); and it would seem by the
responses I've gotten so far, many people are curious like I am.  I'd do
a database search myself, but then how does one phrase this question to
a database?  It's not your typical query!

Eric



________________________________________________________________________________

 J. Eric Slone                         George Mason University
                                       Department of Chemistry
                                       Fairfax, Virginia  22030-4444
 Internet:   eslone@gmu.edu
 Compuserve: 73757,2776                "True science teaches, above all, to
 Fax:        (703) 751-6639             doubt, and to be ignorant."
 Pager:      (202) 597-2373                               Miguel de Unamuno
 Voice:      (703) 461-7078
________________________________________________________________________________



From ernst@bkfug.kfunigraz.ac.at  Mon Apr 24 09:47:56 1995
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Date: Mon, 24 Apr 1995 15:37:50 +0100
From: margot <ernst@bkfug.kfunigraz.ac.at>
To: eslone@osf1.gmu.edu
Cc: chemistry@ccl.net
Message-Id: <0098F5E1.D29ABF26.99@bkfug.kfunigraz.ac.at>
Subject: RE: CCL:Clarification on trivia question


:I've had alot of "please summarize" responses... but no submissions yet!
:One clarification though, I mean by my question 'what molecule is
:composed of the greatest number of different elements', so something
:like acetic acid would count as 3 (C, H, O).  The molecule should also
:exist, naturally or synthetically, theoretical molecules don't count.

According to "The Name Game" by A. Nickon and E. F. Silversmith, Pergamon 
1987, p. 149

a compound containing 10 elements: C60H78Br2CdCl2I2N16O2P2W2 

I'm not going to quote the full name - I'd be typing for the next say 5 
Minutes. I hope you can locate the reference! 
Someone at CAS dug it up originally, maybe it's outdated already. 

	Have fun,
			margot

Inst. f. Th. Chemie, Graz, Austria



From desmond@om3.ch.umist.ac.uk  Mon Apr 24 11:17:57 1995
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Date: Mon, 24 Apr 1995 16:17:13 +0100 (BST)
From: Simon Collins <desmond@om3.ch.umist.ac.uk>
Subject: Charges/bond-breaking
To: chemistry@ccl.net
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Dear All,

I am presently interseted in the varience of charge with energy for the 
heterolytic dissociation of various simple acids, such as HF. I am trying 
to do this by simply doing single point energies at varying increasing bond 
lengths, but the molecule splits up homolytically into the radicals. 

Is there any way round this problem?

Any help would be gratefully received.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
   Simon Collins - Dept. Chemistry, UMIST, Manchester. M60 1QD
             Tel: 061-236-3311 x4476    Fax: 061-236-7677
                E-mail: desmond@trigger.ch.umist.ac.uk
                        S.Collins@umist.ac.uk
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~




From bhardy@convex.ox.ac.uk  Mon Apr 24 11:33:19 1995
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From: Barry Hardy <bhardy@convex.ox.ac.uk>
Message-Id: <199504241510.QAA23516@convex.ox.ac.uk>
To: CHEMISTRY@ccl.net
Subject: First Electronic Glycoscience Conference




                  ELECTRONIC GLYCOSCIENCE CONFERENCE-1
         	  ************************************

     The First Electronic Glycoscience Conference (EGC-1) will be held on 
the Internet (the Net) and World Wide Web (the Web) from Sept 18 - Oct 
13, 1995.  This international conference will cover a broad range of 
disciplines related to carbohydrate and glycoconjugate molecules 
including chemical, physical, biological and medical areas using 
theoretical, experimental and computational approaches.  EGC-1     
will be a fully international event open to all members of
our scientific community.  It is our intent that EGC-1 will be an 
historic occasion from which we will move forward towards further 
annual conferences and virtual resource creation for The Glycosciences.
     Although the conference runs for what looks like a long period of time 
by traditional standards, it is anticipated that participants might 
often interweave the conference with other activities in their regular 
schedule and thus have the flexibility to come and go to the conference 
(flexi-conferencing).  Participants should realise that this 
event is experimental and they should we willing to attend with a 
spirit of exploration and adventure.  We believe that many 
glycoscientists will benefit from an exposure to methods that
will revolutionize how we do science research and how we communicate as
scientists.  Also, in addition to the presentation of technical scientific 
information and results, we will use specific measures to strongly encourage 
cross-disciplinary communication in language intelligible to general 
scientists.  For example, all technical papers will require an accompanying
communication explaining the primary methods, results and conclusions
of the paper in language accessible to a general scientific audience.  
During and after the conference we anticipate the formation of 
connections and cross-references between diverse areas of science and
technology in the Glycosciences.  
     Conference subject areas will include Glycosyltransferases, 
Glycoimmunology, Primary Structure Determination, Glycolipids,
Organic Synthesis,  Molecular Modeling, Design and Informatics, Lectins, 
Polysaccharides and Cellulose, Proteoglycans and Glycosaminoglycans,
Therapeutics, Carbohydrate Biotechnology, Glycobiology, Crystallography, 
NMR, Function of Carbohydrates in Biological Systems, 
and Perspectives.
     Papers will be prepared in Hypertext Markup Language (HTML) and 
participants will view the papers via the World Wide Web.  Aid and 
consultation will be provided to participants during summer '95 to help
newcomers to the Web in the presentation of their conference paper. 
During the conference discussions will take place via email using a 
Net-based electronic mailing list.  It is intended that papers will 
be refereed prior to publication in both traditional and electronic formats.  
In addition to a full technical paper authors will be required to
produce a shortened version of their paper that will summarize the 
main approaches, results and conclusions of their work in language 
accessible to all general scientists.  
     During EGC-1 participants will be able to register at a Virtual 
Conference Center (VCC) created by Gustavo Glusman and the administrators 
of BioMOO, a virtual meeting place for biologists, through Net-based 
telnet sessions into a Networked Virtual Environment.  There they will be 
able to use their own rooms, schedule and attend meetings, hold private 
talks, take and exchange notes, visit interactive poster sessions, 
trade exhibits and an employment center, and socialize.
    During the conference participants will be able to contribute to
a collective creative project: The Glycoscience Hyperglossary (GH).
The GH will serve to define scientific terms and definitions of relevance
to the Glycosciences through the collective contribution of entries and
explanations to an electronic dictionary.  The GH will be then be 
published with the conference papers as an international information
resource subject to further refinement and evolution.

                    ********* :-) **********

DEADLINES AND DATES               

1) DO NOW - GIG mailing list

Conference-related news and announcements will be posted regularly 
to the GIG mailing list and the bionet glycosci newsgroup.  If you 
are not on the GIG list and want to be added to receive news on EGC-1
please email bhardy@convex.ox.ac.uk

2) DO NOW - Pre-Registration

If you intend to participate in EGC-1 please email your name, 
institution, address, phone, fax, and email address using 
the template for registration enclosed at the end of this 
announcement. It should be emailed to wilson@edv1.boku.ac.at
You should pre-register even if you are not presenting a paper.
The deadline for pre-registration is Sept 1 1995.

3) DEADLINE for receipt of ABSTRACT.  

The deadline for receipt of paper and poster abstracts is July 1st. Email 
your abstract directly to the appropriate section convener listed below. 
Your abstract should be no longer than 300 words.

4) DEADLINE for receipt of PAPER. 

The deadline for receipt of papers and posters is Sept 1st.  You can either 
1) deposit your text and graphics files at the conference ftp site
or 2) send in the Web address from which you will serve the paper.

5) Conference Commencement

The Conference will commence on Monday Sept 18th.  The first week will
be used by registrants to register, to familiarize themselves with their
virtual surroundings and tools, and to commence reading of conference 
papers.  

6) The Conference

The main period of the conference will run from Monday Sept 25th to 
Friday October 13th during which discussions and meetings will take place.

7) Refereeing Period

The refereeing period will commence upon completion of the conference.
If you present a paper at EGC-1 you will be expected to contribute
a refereeing evaluation on another conference paper.  Referee reports 
will be due Friday November 10th.  Final revised papers are due by
Friday December 1st.  Posters will not go through the refereeing process.

                    ********* :-) **********

World Wide Web
**************

     Pages will be loaded on World Wide Web during Spring and Summer
'95 that will provide further details on EGC-1 including guidance
and advice in preparing paper text and graphics for display on the Web.

                    ********* :-) **********

Poster Sessions
***************

Poster sessions will consist of informal papers presented as Web pages 
which will be accompanied by discussions in the Virtual Conference Center.


                    ********* :-) **********

Trade Center
************

     The Conference will feature a Virtual Trade Center where commercial
vendors, consultants, manufacturers, and contractors will be able to
display their goods and services in return for donations of support 
to conference activities.

                    ********* :-) **********

Job Center
**********

     The Conference will provide Job Services in the Virtual Job Center
which will feature employment ads, interviews and aid in an interactive
environment.

                    ********* :-) **********

                  SECTIONS AND SECTION CONVENERS 

(Please email section conveners with questions related to 
your particular section and paper)

1. Glycosyltransferases 

Harry Schachter, 
Hospital for Sick Children, 
Toronto, Canada
Email: harry@resunix.ri.sickkids.on.ca

2. Glycoimmunology 

Roy Jefferis, 
University of Birmingham, UK
Email: R.Jefferis@bham.ac.uk

3. Primary Structure Determination 

Dave Ashford, 
University of York, UK
Email: da5@unix.york.ac.uk

4. Glycolipids 

Ronald L. Schnaar, 
Johns Hopkins University, Baltimore, USA
Email: rschnaar@welchlink.welch.jhu.edu

5. Synthesis and Physical Organic Chemistry
 
Tim Gallagher, 
University of Bristol, UK
Email: T.Gallagher@bristol.ac.uk

6. Molecular Modeling, Design and Informatics

Jerry Thomas, 
Rijksuniversiteit Utrecht, The Netherlands
Email: jerry@RUUCJ5.chem.ruu.nl

7. Lectins 

Eric Toone,
Duke University, USA
Email: toone@chem.duke.edu

8. Polysaccharides and Cellulose 

Andrepeter Heiner, 
State Research Center, Finland
Email: Andrepeter.Heiner@vtt.fi

9. Proteoglycans and Glycosaminoglycans 

Bob Lauder, 
University of Lancaster, UK
Email: r.lauder@lancaster.ac.uk

10. Glycotherapeutics 

G Turner
University of Newcastle, UK
Email: G.A.Turner@newcastle.ac.uk

11. Carbohydrate Biotechnology 

Liz Hounsell,
University College London
Email: ehounsel@bsm.biochemistry.ucl.ac.uk

12. General Glycobiology 

Gerald W. Hart, 
University of Alabama at Birmingham, USA
Email: gwhart@bmg.bhs.uab.edu

13. Crystallography 

Bill Winter, 
State University of New York, Syracuse, USA
Email: wtwinter@mailbox.syr.edu

14. Nuclear Magnetic Resonance

Steve Homans, 
University of St. Andrews, UK
Email: swh@st-andrews.ac.uk

15. Function of Carbohydrates in Biological Systems

Diana Blythe
National Institutes of Health, USA
Email: BlitheD@cc1.nichd.nih.gov

16. Glycoscience Perspectives: Past, Present and Future

Barry J. Hardy, 
Oxford University, UK
Email: bhardy@convex.ox.ac.uk

Iain Wilson, 
Institut fuer Bodenkultur, Wien, Austria
Email: wilson@edv1.boku.ac.at

VIRTUAL CONFERENCE CENTER 

Manager  

John Towell,               
Northern Illinios University, USA
Email: m50jft1@hayek.cob.niu.edu

Aide        

Leonore A. Findsen,       
University of Hawaii, Hawaii, USA
Email: leonore@uhunix.uhcc.hawaii.edu
 
TECHNICAL CONSULTANT

Alan Robinson
Oxford University, UK
Email: alan@physchem.chem.ox.ac.uk

Alan Robinson is providing conference participants technical support
now and during the conference.  He will try and help you with questions
related to using the Net/Web (setting up a server, writing hypertext), will 
be providing the group answers to frequently asked questions, and will 
provide advisory support on preparing papers on Web pages.  When sending 
him a query please try to solve the problem first yourself.  If you have a 
question please keep it clear and concise and place 'EGC QUERY' in your
subject heading.

CONFERENCE ORGANIZERS 

(Please email us with any general questions or comments)

Barry J. Hardy 
Physical and Theoretical Chemistry Lab
Oxford University, Oxford, OX1 3QZ, U.K.
Email: bhardy@convex.ox.ac.uk

Iain Wilson
Institut fuer Chemie Universitaet fuer Bodenkultur
Gregor-Mendel-Strasse 33
A-1180, Wien, Austria
Email: wilson@edv1.boku.ac.at


 "The difficulty in imagining the future
 comes from the fact that the important changes are not quantitative.
 The important changes are qualitative, not bigger and better rockets
 but new styles of architecture, new rules by which the game of
 exploration is played."

 Freeman Dyson


 *** EGC-1 : The Glycosciences Breaking through Boundaries ***********
 ****** with New Styles of Architecture and Exploration **************
 ********************************************************************


TEMPLATE FOR PRE-REGISTRATION: 

Please return the following card via email to 
wilson@edv1.boku.ac.at

------------EGC-1 REGISTRATION---------------------
NAME:
INSTITUTION:
ADDRESS:
ADDRESS:
PHONE:
FAX:
EMAIL:

From chiremv!andromeda!martine@uunet.uu.net  Mon Apr 24 12:47:57 1995
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Date: Mon, 24 Apr 95 09:37:58 -0700
From: chiremv!andromeda!martine@uunet.uu.net (Eric Martin)
Message-Id: <9504241637.AA24531@andromeda>
To: uunet!ccl.net!chemistry@uunet.uu.net
Subject: CCL:Clarification on trivia question


Hi Eric,

I don't know the answer to the molecule composed of the greatest number
of different elements, but I can suggest how to pose a query.  If
you have access to the Daylight database software with the Sprezzi (sp?)
database, a sort by the length of the molecular formula should get you
close.  Then, taking the top cut from there, find the molecular formula
with the most capital letters.  You could probably do this with a
clever regular expression search, but saving the formulas and writing a
small program might be easier.

Cheers,  -Eric

Eric Martin
martine@chiron.com
4560 Horton St., Emeryville, CA 94608
(510)601-3306,  FAX (510)601-3360


From mutz@ifp.mat.ethz.ch  Mon Apr 24 13:33:14 1995
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To: Simon Collins <desmond@om3.ch.umist.ac.uk>
Cc: chemistry@ccl.net, mutz@ifp.mat.ethz.ch
Subject: Re: CCL:Charges/bond-breaking
In-Reply-To: (Your message of Mon, 24 Apr 95 16:17:13 N.) <Pine.3.89.9504241658.A15681-0100000@trigger.ch.umist.ac.uk>
Date: Mon, 24 Apr 95 19:20:51 +0100



Simon Collins wrote:

------------

Dear All,

I am presently interseted in the varience of charge with energy for the 
heterolytic dissociation of various simple acids, such as HF. I am trying 
to do this by simply doing single point energies at varying increasing bond 
lengths, but the molecule splits up homolytically into the radicals. 

Is there any way round this problem?
-------------


Dear Simon,

you might do just the opposite of what you did:
Start with the separated ions and approach them
step by step, instead of breaking up the molecule.

Of course, as you approach them, the charge will be
redistributed at some point to give more or less the
charge distribution of the molecule, but this is what
you wanted to model, after all. 

BTW, there are two different ways to split up a
molecule like HF homolytically. The molecule HF in
its ground state has all its electrons paired, so it
is a singlett. If you separate the two radicals by
some distance (e.g. you break the bond), each of the
two atoms gets one unpaired electron, and it has to
be expected from Hund's rule that the triplett
configuration has lower energy. So somewhere midway
between the intact molecule and the separated
radicals there must be point where the energies of
the singlett and triplett state are degenerate in the
approximation of Hartree-Fock theory.

I don't know about HF, but it might well be that the
system undergoes *two* rather than one transition if
you move the ions towards each other:

Ionic   -->   Triplett  --> Singlett .

One last word of caution: The transition point from
Triplett to Singlett state is a configuration where
there is a large coupling between the movements of
the electrons and that of the nuclei (a small
movement of the nuclei makes the electron
configuration change *qualitatively* !). This means
that at this point, one of the most fundamental
approximations in electronic structure theory, the
Born-Oppenheimer Separation obviously breaks down.

It is anything but clear how such systems should be
treated (Anybody out there on CCL has any experience
in the field, perhaps ? )

Greetings from Zurich

-Marcel Utz.

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Marcel Utz                                              phone:  +41 1 632 5672 
Institute of Polymers                                     fax:  +41 1 632 1096
ETH-Zurich CNB E 98.2
CH-8092 Zurich, Switzerland                  email: Marcel.Utz@ifp.mat.ethz.ch
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From shenkin@still3.chem.columbia.edu  Mon Apr 24 14:33:00 1995
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From: "Peter Shenkin" <shenkin@still3.chem.columbia.edu>
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Date: Mon, 24 Apr 1995 14:23:02 -0400
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        "CCL:Clarification on trivia question" (Apr 24,  3:37pm)
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On Apr 24,  3:37pm, margot wrote:
> Subject: CCL:Clarification on trivia question

> According to "The Name Game" by A. Nickon and E. F. Silversmith, Pergamon
> 1987, p. 149
>
> a compound containing 10 elements: C60H78Br2CdCl2I2N16O2P2W2
...
> 	Have fun,
> 			margot

OK, Margot, you're on.  Here's my idea of fun; YMMV:

Let's see;  the cited compound has 167 atoms divided among 10 atom types.
Certainly this would not be as impressive as a molecule that has 10
atoms, all of different types.  But is it as impressive as, say, formamide,
which packs four atom types into a molecule with only six atoms?

How might one devise an "impressiveness metric" for this problem?  Let's
define N as the number of atoms and k as the number of atom types.

Let us denote by "Metric 0" k itself.

One might be tempted to try to use k/N as a metric;  this has a
maximum of 1 for any molecule that has as many types as it has atoms,
but does not accord with intuition, since any monatomic species exhibits
this maximum, and we don't regard these as "impressive."  Anyway, call k/N
Metric 1.

A second thought might be to use the product of k and k/N
(i.e., k^2/N) as an impressiveness metric.  Call this Metric 2.  Metric 2
has no theoretical maximum, which is good, since how can one put a
maximum on how impressed one can be?  After all, if someone comes
along tomorrow with a molecule that has 11 types crammed into 167 atoms,
we ought to be even more impressed than by Margot's example.

How do several molecules compare according to these metrics?

		Ar	CO	margot		formamide	2*formamide
N		1	2	167		6		12
k		1	2	 10		4		 4
Metric 0	1	2	 10		4		 4
Metric 1	1	1	  0.060		0.67		 0.33
Metric 2	1	2	  0.60		2.67	 	 1.33

(N.B.  2*formaldehyde is formaldehyde dymer)

Note that using Metric 2, formaldehyde is quite a bit more impressive
than Margot's example.  Note also that both Metric 1 and Metric 2 consider
formamide dimer to be less impressive than formamide itself.

Let's think about this a bit further, now.  In Margot's example, several
atom types (Br, Cd, Cl, I, O, P, W) occur only one or two times.  In
fact, the remaining 30% of the types take up 92% of the atoms.  It
scarcely seems fair to ascribe full importance to types which appear
with very low frequency.

We would like to derive a k-value adjusted for frequency of appearance.
The information-theoretical (or statistical) entropy provides a way of
doing this.  First one calculates an entropy as follows:

	S = - Sum_over_k_types{ p[i] log_B p[i] }

where B is the base of the logarithm used and p[i] is n[i]/N, where
n[i] is the number of times that type appears;  thus, for C in
formaldehyde, p[i] is 1/6.

We then calculate the "effective number of types" as:

	k* = B^S.

Thus, if the natural log is used in the calculation of S, k* = exp( S ).
(We belabor this point because in information theory, it is common to
use B=2, giving S in bits.  Then k*=2^S.  But k* will always come out
the same regardless of the base of the log.)

k* achieves its theoretical maximum of k when all the types appear
equal frequency, but is lower than k when the frequencies of type
appearance are unequal.  Thus, for CO, k=k*=2, but for Margot's
example we have k=10, but k*=3.657.  Note that this accords with our
notion that only about 3 types account for most of the atoms in this
molecule.  k* has an interpretation similar to that of the numerical
value of a partition function:  it is approximately equal to the number
of types "occupied" in the molecule;  types with small fractional
populations don't count for very much.

So I define Metric 3 to be simply k*.  The results using it are
interesting, but share some of the difficulties of Metric 0;  namely,
if the molecule grows with the same distribution of atoms, as by
dimerization, k* doesn't change;  we would be more impressed if we
could "fill up" the available atoms with types, and k* doesn't reflect
this.  Nevertheless, note that just using k*, formaldehyde is nearly as
impressive as Margot's example.

My final proposal, Metric 4, is just like Metric 2, but
replacing k with k*;  i.e., it is equal to k*^2/N.  Results for
the four molecules shown above are as follows:

		Ar	CO	margot		formamide	2*formamide
N		1	2	167		6		12
k		1	2	 10		4		 4
k*		1	2	  3.657		3.464		 3.464
Metric 0	1	2	 10		4		 4
Metric 1	1	1	  0.060		0.67		 0.33
Metric 2	1	2	  0.60		2.67	 	 1.33
Metric 3	1	2	  3.657		3.464		 3.464
Metric 4	1	2	  0.080		2.000		 1.000

Note that by most reasonable criteria (including Metric 4, the most
reasonable, IMHO), formamide is far more impressive than Margot's
example.

The grand challenge:  What is the most impressive molecule you can think
of, using Metric 4?  Basically, having a lot of types crammed into
a small number of atoms will win.  For example, CFClBrI has k=k*=5,
and Metric 4 = 5.  Note that if N=k (all types are different), Metric 4
is equal to k, since in this situation k*=k (all types occur with
equal frequency).

It probably would be fairly easy for inorganic chemists to come up
with compounds for which Metric 4 is 9 or 10.

	-P.

Literature references for k*:

  'Information-theoretical Entropy as a Measure of Sequence
  Variability', Peter S. Shenkin, Batu Erman and Lucy D. Mastrandrea,
  PROTEINS: Structure, Function and Genetics, 11, 297-313 (1991)

 Rosemary Swanson also published on the same concept in J. Chem. Ed.
 She gave the name "optiony" to what I call k*.  I'm rather partial
 to k*;  I especially like her duets with Tennessee Ernie Ford. :-)








-- 
************************ The secret of life: *************************
*Peter S. Shenkin, Box 768 Havemeyer Hall, Chemistry, Columbia Univ.,*
* New York, NY  10027;     shenkin@columbia.edu;     (212) 854-5143  *
************* If you find a loose thread, don't pull it. *************


From sichelj@Umoncton.CA  Mon Apr 24 17:32:59 1995
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From: John Sichel <sichelj@Umoncton.CA>
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        chemistry@ccl.net
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Peter Shenkin seems to have been carried away by information theory in an 
attempt to define "impressiveness". I suggest that most chemists would 
relate "impressiveness" to synthetic difficulty. The latter may not be a 
quantifiable concept, but we all know that C60 H78 Br2 Cd Cl2 I2 N16 O2 
P2 W2 was harder to synthesize than formamide or CFClBrI.

So perhaps Eric Slone's simple question actually points to a better
_chemical_ measure of impressiveness (number of different elements), even
if Peter Shenkin has used more impressive mathematics. Now can anyone beat
Margot's molecule with ten different elements? 

John Sichel
Universite de Moncton, Canada


> On Apr 24,  3:37pm, margot wrote:
> > a compound containing 10 elements: C60H78Br2CdCl2I2N16O2P2W2

On Mon 24 Apr 1995, Peter Shenkin wrote:

> Note that using Metric 2, formaldehyde is quite a bit more impressive
> than Margot's example.  Note also that both Metric 1 and Metric 2 consider
> formamide dimer to be less impressive than formamide itself.

> Note that by most reasonable criteria (including Metric 4, the most
> reasonable, IMHO), formamide is far more impressive than Margot's
> example.
> 
> The grand challenge:  What is the most impressive molecule you can think
> of, using Metric 4?  Basically, having a lot of types crammed into
> a small number of atoms will win.  For example, CFClBrI has k=k*=5,




From eslone@osf1.gmu.edu  Mon Apr 24 20:03:00 1995
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Subject: The Winner (thus far)
To: chemistry@ccl.net
Date: Mon, 24 Apr 1995 19:56:01 -0400 (EDT)
From: "J. Eric Slone" <eslone@osf1.gmu.edu>
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The winner thus far is:

15 elements

Aluminum barium calcium cerium europium germanium magnesium manganese
polonium strontium terbium yttrium chloride fluoride oxide 

Al 3.56 Ba 0.14 Ca 0.03 Ce 0.11 Cl 0.02 Eu 0.06 F 0.15 Ge 0.15 Mg 0.97
Mn 0.15 O 8.58 Po 0.24 Sr 0.01 Tb 0.07 Y 1.08 


Now, for the bonus prize, *what is this compound used for*? and what is
it's structure?  Please fax your entries to the number shown below.
Entires will be judged on originality, artistic ability, and distance
travelled.  :-)


Void where prohibited.  The decision of the judges (me) is final.

Eric



________________________________________________________________________________

 J. Eric Slone                         George Mason University
                                       Department of Chemistry
                                       Fairfax, Virginia  22030-4444
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 Fax:        (703) 751-6639             doubt, and to be ignorant."
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