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**** ESF Programme ****
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**** RELATIVISTIC EFFECTS IN HEAVY ELEMENT CHEMISTRY ****
**** AND PHYSICS ****
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Newsletter No. 17 (February 15, 1996)
______________________________________________________________
Editor: Bernd Hess, hess@uni-bonn.de
Tel. 49-228-732920
FAX 49-228-732551
______________________________________________________________
The programme 'Relativistic Effects in Heavy-Element Chemistry and Physics'
('REHE') has been initiated by the European Science
Foundation in November 1992 and it is expected to run for 5 years, i.e.
from 1993 through 1997. The programme is intended to strengthen the in-
dicated "field" and to facilitate interactions between European scientists
concerned with related topics.
The 'Steering Committee' of the programme has at present the following
members:
E. J. Baerends (Amsterdam)
J.P. Daudey (Toulouse)
K. Faegri (Oslo)
I.P. Grant (Oxford)
B. Hess (Bonn, Vice-Chairman)
H. U. Karow (ESF)
J. Karwowski (Torun)
P. Pyykko (Helsinki, Chairman)
K. Schwarz (Vienna)
A. Sgamellotti (Perugia).
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--- E D I T O R I A L
Please send material for the forthcoming newsletter to my attention,
hess@uni-bonn.de
The newsletter will be sent out every second month around the 10th day
of the month. Contributions should arrive in Bonn until the end of the
preceding month.
| The next newsletter (#18) is scheduled for Beginning of April 1996.
| Please send your contributions until end of March 1996.
Please send material >by e/mail< that enables us to fill the
following topics in forthcoming newsletters
All REHE newsletters are now available on www under URL
http://pcgate.thch.uni-bonn.de/tc/hess/esf/nl.html
================================================================================
--- F E L L O W S H I P S
In the framework of the REHE programme, there is support available
for visits of doctoral students and also for senior scientists at
institutions in a foreign partner country. This support covers visits
lasting 2-4 months ("long-term visits") which will give the holders
time to acclimatize to the methods used in the host laboratory as well as
short visits ("short-term visits") of only a few days.
Please send a short application detailing the project, the names of the
scientists involved and the aproximate date and duration of the visit
to either Pekka Pyykko or Bernd Hess. Please refer to REHE newsletter #16
for details.
Please indicate >who wants to go >when >where, >what shall be done and
>how much money (in FRF) is required.
As a rule, the steering committee members will decide on the applications
on occation of ther meetings.
Applications for visits that require decision in the interim time between
steering committee meetings may still be handled by means of consultation
within the steering group.
After the journey, a short report about the scientific accomplishments
is required. Please send a version by e-mail in a form suitable for
publication in a REHE newsletter to hess@uni-bonn.de
Should the planned dates of your stay change for any reason, you are
requested to notify the Chairman and the Vice-Chairman (preferrably by
e-mail) as soon as possible with a copy to the ESF.
================================================================================
--- R E S E A R C H N E W S AND R E L A T E D I N F O R M A T I O N
Summaries of recent research or comments to it (up to 1 page),
which are of general interest to the 'REHE' community, may
be submitted by any colleague preferrably by E-mail to my attention.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by Vlado Kelloe]
Report
------
on the joint research project supported by the ESF grant within the REHE
Programme and carried out at the Department of Theoretical Chemistry,
University of Lund, Lund, Sweden in the period November 7 - December 16, 1995
Participants: Assoc. Prof. Vladimir Kelloe
Department of Physical Chemistry
Comenius University, Bratislava, Slovakia
and
Prof. Andrzej J. Sadlej
Theoretical Chemistry,
University of Lund, Lund, Sweden
Topic: Investigation of quasirelativistic methods for the evaluation of relativistic
and correlation-relativistic contributions to atomic and molecular properties
This is a report on the first part of the joint research project which additionally
involves Professor Miroslav Urban and will be continued in January/February 1995.
Within the present part of the project the main attention was focused on the
investigation of the performence of different quasirelativistic methods for the
calculation of relativistic corrections to atomic and molecular properties.
The approach based on the MVD approximation and pursued over the past years by
the participants of the project has been confronted with the results of the
no-pair formalism.
The following topics were investigated:
- a direct comparison between the results of the MVD and no-pair approximations
for the treatment of relativistic contributions to molecular electric properties,
- a comparison between the no-pair approximations which are linear and quadratic
in the external potential,
- the problem of the evaluation of expectation values in the no-pair formalism,
- the evaluation of electric field gradients in hydrogen halides,
- standardization of basis sets for high-level-correlated calculations of
atomic and molecular electric properties within the no-pair approximation.
On the basis of calculations carried out for dipole moments of the coinage metal
hydrides the following conclusions can be drawn:
- the MVD approximation performs very well for atoms as heavy as Ag and starts
to deteriorate for nuclei with the charge of about 70-80 or higher,
- the dependence on the shift of the external potential by a constant, which
occurs in the 'quadratic' no-pair hamiltonian do not seem to be particularly
important while other features of this hamiltonian favour its use,
- no difference has been found in expectation values of the electric dipole
moment operator calculated in the following way:
(i) as the expectation value of the non-relativistic operator over the
no-pair wave function,
(ii) as the expectation value of the Douglas-Kroll transformed operator.
The following papers are either ready for submission or in preparation:
1. V. Kelloe, A. J. Sadlej, and B. A. Hess,
Relativistic effect on electric properties of many-electron systems in
spin-averaged no-pair and Pauli approximations,
J. Chem. Phys., to be submitted
2. V. Kelloe and A. J. Sadlej,
Determination of the quadrupole moment of the halogen nuclei (Cl, Br, I)
from molecular data
in preparation
There is also quite advanced work done as regards the standardization of basis
sets for high-level-correlated relativistic calculations of atomic and molecular
electric properties within the no-pair formalism. The joint research programme
will be continued in January 1996 when Professor Miroslav Urban comes to Lund.
Vladimir Kelloe Andrzej J. Sadlej
Bratislava Lund
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by Martyn Guest]
Relativistic Effects in Heavy Elements (REHE)
The REHE Fellowship Programme and Dr. S. Fantacci
Martyn F. Guest
December 1995
Dr. Simona Fantacci spent the period 15 September - 15 November 1995
in the Theory and Computational Division at the CCLRC Daresbury
Laboratory, within the REHE fellowship programme. During this time,
she performed theoretical investigations on two classes of compounds
containing heavy metals: gold clusters and alkylidynes dimers.
The calculations were based on the Amsterdam Density Function (ADF) program
package, and used the LDA exchange correlation, with Becke's non local
correction to the local exchange expression and Perdew's
non local correction to the local correlation energy (NLDA).
The relativistic effects were also taken into account by employing
the Pauli Hamiltonian and include the first order scalar relativistic
corrections, i.e. Darwin and mass-velocity.
The first compounds investigated included the polynuclear species with
gold-gold bonds: [Au(CH_2)_2PH_2]_2Cl_2 and [Au(CH_2)_2PH_2]_2AuCl_3.
The starting point was the compound [Au(CH_2)_2PH_2]_2Cl_2 which
contains a single Au(II)-Au(II) bond, resulting from the mixing of
6s and 5d_z^2 orbitals. The relativistic treatment leads to a contraction
of the 6s shell with a concomitant lowering in energy, whereas the 5d
shell becomes more diffuse and rises in energy. This suggests that the
differences, both in energy and in spatial character, between
these two types of valence orbitals decrease, enhancing the possibility
of a stronger s-d interaction. This larger hybridisation together
with the lowering of the Au 6s obital energy is responsible for the
decrease in energy of the bond orbitals. The gold polynuclear compound,
[Au(CH_2)_2PH_2]_2AuCl_3, exhibits (i) Au(I)-Au(II) and Au(II)-Au(II)
bonds, (ii) lower hybrid orbitals s-d, and (iii) stabilisation of
the energy on inclusion of relativistic effects.
The second topic investigated is the viability of obtaining the
alkyne adducts W_2(OR)_6(C_2R'_2) from W_2(OR)_6 and RC=CR reactants.
In these compounds the acetylene is bound to both metal atoms with
the C-C bond axis oriented perpendicular to the W-W bond, a
coordination mode well known in dimetallatetrahedranes, M_2L_m (mu-alkyne)
complexes, where M is a metal in a low oxidation state. The
ditungstenatetrahedrane adduct was optimised at the non-relativistic
level, forcing two of the OH^- groups to assume a bridging conformation,
in analogy with what is observed in some of the X-ray crystal structures.
A non-relativistic optimisation was also performed for the complex
without any bridging OH^- group. Relativistic effects were subsequently
included for the minima obtained for W_2(OR)_6, HC=CH and for the
two configurations of ditungstenatetrahedrane. Preliminary results
suggest a significant lowering of the energy although work is still
in progress to better determine the effects due to the relativistic
corrections on these systems.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by Martin Kaupp]
##########################################################################
Report on a ''long-term'' visit (October 1995) of Olga L. Malkina and
Vladimir G. Malkin within the framework of the ESF program ''Relativistic
Effects in Heavy-Element Chemistry and Physics'' (REHE).
##########################################################################
Visitors:
Dr. Vladimir G. Malkin,
Institute of Inorganic Chemistry, Slovak Academy of Science,
Dubravska Cesta 9, SK-84236 Bratislava, Slovakia.
Olga L. Malkina,
Computer Center, Faculty of Natural Sciences, Comenius University,
Mlynska dolina CH-1, SK-84215 Bratislava, Slovakia.
Host:
Dr. Martin Kaupp
Max-Planck-Institut fuer
Festkoerperforschung, Heisenbergstr. 1, D-70569 Stuttgart, Germany.
##########################################################################
Project:
Incorporation of contributions from spin-orbit coupling into calculations
of NMR chemical shielding tensors within the sum-over-states density-functional
perturbation theory (SOS/DFPT) approach [1].
During our previous collaboration, we have combined the SOS/DFPT method [1]
with quasirelativistic effective-core potentials (ECPs) [2,3]. This allows
the partial inclusion of scalar relativistic effects in chemical shielding
tensor calculations. Our experience with this approach suggests that a large
part of the remaining errors in our approach comes from the neglect of
spin-orbit coupling. This is particularly obvious from our results for
hydrogen atoms bound directly to a heavy transition metal, and for molecules
with heavy p-block substituents (e.g. iodine).
First test calculations including only the bare-nucleus one-electron
contributions to spin-orbit coupling via a perturbation theory indicate
considerable improvement [4]. However, one can expect that the screening
mainly due to the inner-shell electrons might be also quite important.
Therefore the goal of the visit of V. G. Malkin and O. L. Malkina in Stuttgart
was to evaluate the merits and shortcomings of the following approaches:
1) inclusion of two-electron SO-integrals in calculation of chemical shifts
via a perturbation theory; Integral packages are available (collaborations
with Prof. B. Hess, Bonn).
2) a combination of the use of quasirelativistic effective-core potentials
during the SCF step with the calculation of the SO-contribution to the
chemical shift via a perturbation theory.
3) discussion of the inclusion of effective spin-orbit operators (after
Pitzer and Winter) for the calculation of SO corrections to the chemical
shift.
##########################################################################
During the visit a major part of the program was completed.
In particular, we implemented the two-electron SO-integral block of
Prof. Bernd Hess (EAGLE) in the deMon/NMR code and performed a number of
test-calculations of hydrogen chemical shifts in HF, HCl, HBr, and HI molecules
with spin-orbit (1- and 2-electron terms) corrections. Similar
test-calculations were done for the carbon chemical shifts in some
halogenomethanes. Now we are doing additional validation studies along these lines.
The corresponding paper [5] is in preparation.
Another development of the code which was done and tested during the visit
was a combination of the use of quasirelativistic effective-core potentials
during the SCF step with the calculation of the SO-contribution (at present
only 1-electron term) to the chemical shift via a perturbation theory. The
problem connected with the use of nodeless ECP MOs was successfully
overcome by an orthogonalization procedure. With orthogonalization of
ECP nodeless MOs to the core AOs (taken from atomic calculations) before
calculations of the matrix elements of the SO-operator we were able to reproduce
the results of all-electron calculations. This procedure gives an opportunity
to save significant amounts of computer resources by the use of ECPs.
During the visit we also discussed the inclusion of effective spin-orbit
operators (following the procedure of Pitzer and Winter[6]) for the
calculation of SO corrections
to the chemical shift. We received the corresponding integral blocks from
Dr. H.-J. Flad, Prof. H. Stoll and Prof. H.-J. Werner (part of the MOLPRO code).
The implementation remains to be done in the near future, but our understanding
has improved significantly during this visit.
References:
[1] V. G. Malkin, O. L. Malkina, M. E. Casida, D. R. Salahub J. Am. Chem. Soc.
1994, 116, 5898.
[2] M. Kaupp, V. G. Malkin, O. L. Malkina, D. R. Salahub Chem. Phys. Lett. 1995,
235, 382.
[3] M. Kaupp, V. G. Malkin, O. L. Malkina, D. R. Salahub J. Am. Chem. Soc. 1995,
117, 1851.
[4] V. G. Malkin, O. L. Malkina, D. R. Salahub, to be submitted.
[5] V. G. Malkin, O. L. Malkina, M. Kaupp, B. Hess, in preparation.
[6] R. M. Pitzer, N. W. Winter Int. J. Quant. Chem. 1991, 40, 773.
##########################################################################
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by Maria Barysz]
Maria Barysz, Norbert Flocke, Jacek Karwowski,Geerd Diercksen
Report on visit of M. Barysz
at the Max-Planck-Institut fur Astrophysik, Garching bei Muenchen,
Germany
>From 01.10.1995 to 30.11.1995
We have been studied the relativistic effects
of heavy two-electron ions, in different approximations.
The series of two electron ions is chosen somewhat arbitrarily
though its selection is intended to well represent distinctions
between different quasirelativistic approaches.
For this reason neither of the studied effects should be
as small as to affect its numerical significance. This means that
the studied atoms need to be sufficiently heavy. Moreover, one of the
objective is to analyse the expected failure of the Breit-Pauli approximation
and this requires systems with large enough values of Z, though not
as large as to make the BP approximation fully unsuitable.
The series of positive ions Au+77, Hg+78, Tl+79, Pb+80, Bi+81, Po+82,
At+83
and Rn+84 appears to well satisfy these requirements.
The following methods and quasirelativistic approaches are to be
investigated:
1. nonrelativistic SCF followed by the evaluation of the first
order BP energy (MVD corrections)
2. nonrelativistic SCF+CCSD
3. relativistic no-pair SCF
4. relativistic no-pair SCF+CCSD
I. The SCF and CCSD level of approximation - non-relativistic and qusirelativistic
All calculations have been carried out with uncontracted GTO basis sets, whose initial
choice is based on the data of Gropen (J.Comp.Chem. Vol.8,No.7, 982-1003(1987).
At the SCF level of approximation only the s-type orbitals are required;
these being initially taken as
given by Gropen. Since the studied systems have a fairly compact charge
distribution, the lowest-exponent s-type orbital has been removed and
the remaining 18 have been reoptimized with respect to the non-relativistic
SCF energy.
These basis sets will be used to calculate:
1. non-relativistic SCF energies,
2 the first-order SCF MVD corrections,
3. no-pair SCF energies.
At the CCSD level of approximation p- and d-type orbitals
are required. Five p- and three d-type uncontracted orbitals have been added
to 18 s-type and reoptimized with respect to the non-relativistic CCSD energy
(s-type orbitals from no-pair SCF optimization are kept unchanged.)
This basis set will be used to calculate:
4. non-relativistic CCSD energies
5. no-pair CCSD energies
II. The basis set problem in quasirelativistic calculations of energies.
There is a variety of highly optimized basis sets available for nonrelativistic
calculations at both SCF and correlated levels of approximation (Huzinaga,
Klobukowski, Gropen, ) However,
ther is only a little experience gained so far in similar quasirelativistic no-pair
approximation. Jansen and Hess , Kaldor and Hess reccomend that the
standard non-relativistic contracted Gaussian basis sets should be decontracted
prior to their use in no-pair calculations and then contracted by using the eigen-
vectors of the no-pair SCF. Such a strategy follows from the observation that the
no-pair bare nucleus hamiltonian will weigh the regions close to the nucleus much
heavier than its non-relativistic counterpart. A decontraction and the following
contraction at the no-pair level of approximation will partly account for the
change of the shape of no-pair functions in comparison with the non-relativistic ones.
The earlier optimized non-relativistic 18s sets for all ions investigated in this paper
have been reoptimized with respect to the no-pair SCF energies by using
a common scale factor for all primitive s-type GTO's.
This basis set have been used to calculate:
6. no-pair SCF energies
The p- and d-type orbitals will be optimized with respect to no-pair CCSD level
and use to calculate:
7. no-pair CCSD energies
All our non-relativistic and relativistic results have been compared
to the non-relativistic and relativistic Dirac-Fock Ionization Potentials
calculated by J. P. Desclaux (Atomic Data and Nuclear Data Tables 12, 311 (1973)).
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by Wenjian Liu]
'NR/R-DFT : A package for nonrelativistic and fully relativistic density-functional calculations'
Wenjian Liu
lwj@audrey.mpi-stuttgart.mpg.de
Max-Planck-Institut f"ur Physik Komplexer Systeme,Aussenstelle Stuttgart
Postfach 80 06 65,D-70506 Stuttgart,Germany
Lemin Li
lilm@peastms.pku.edu.cn
Department of Chemistry,Peking University,Beijing 100871,P. R. China
We developed a nonrelativistic and fully relativistic density-functional computational program
(NR/R-DFT),which has been shown reliable by comparison with the well-known Amsterdam program
package (Prof. T. Ziegler's version). Preliminary implementations of the program in lanthanide
compounds have been made. The calculated bond energies,bond lengths and vibrational frequencies
are in good line with experiment.
The NR/R-DFT program has the following features:
(1) four-component wave-functions
(2) making use of a combination of numerical atomic orbitals and STO's as basis set to avoid
variational-collapse.
(3) using accurate Gaussian quadrature to calculate molecular integrations.
(4) generating Coulomb potential efficiently.
(5) using transition-state scheme to improve the accuracy of molecular total eneries
(e.g. only about 5000 integration points per heavy atom are needed to get the
chemical accuracy of 0.001 au) and obtain atomization energies directly.
(6) nonlocal exchange-correlation corrections can be performed either at perturbational or at
self-consistent levels.
(7) being able to calculate any element in the periodic table with uniform ease.
(8) a new definition of atomic orbital in molecule (AOIM), which can be divided into a free-atom-like
strongly occupied minimal set {AOIM}min and a weakly occupied Rydberg set {AOIM}ryd. The {AOIM}min
provide optimal and most compact basis for describing charge density of related atom.
Bonding and population analysis making use of {AOIM}min is characterized by numerical stability,
generality,simplicity and pictoriality.
Manusrcipts for publication are being organized.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
================================================================================
--- C O N F E R E N C E N E W S
'Conference News' (in general they should NOT overrun about 1 page)
may be provided by organizers or their scientific secretaries. --
For meetings and workshops supported by ESF the submission of such
a report is a m u s t . To facilitate my job the reports should
be forwarded to my attention via E-mail.
Also please send information about conferences that might be of interest
for the members of the REHE community.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by Joachim Reinhardt]
REHE Workshop on Quantum Electrodynamics of Strong Fields:
Positron Spectra from Heavy-Ion Collisions
Date: May 7/8, 1996
Sessions: May 7: 15 - 18 h
May 8: 9 - 12 h
Location: Hotel Tannenhof
34270 Schauenburg-Elmshagen
Jakobstr. 1-3
Tel. +49 5601 9330
Fax +49 5601 933200
Speakers (preliminary)
Experiment
Russell Betts (Argonne Natl. Laboratory, Chicago)
Helmut Bokemeyer (GSI, Darmstadt)
Tom Cowan (Lawrence Livermore Laboratory)
Wolfgang Koenig (GSI, Darmstadt)
Dirk Schwalm (MPI fuer Kernphysik, Heidelberg)
Theory
Christian Hofmann (Dresden)
Joachim Reinhardt (Frankfurt)
Abstract
Close collisions of very heavy ions offer the opportunity to study
quantum electrodynamics of strong external fields. An effect of great
theoretical interest is the predicted instability of the QED vacuum,
signalled by the spontaneous emission of positrons in supercritical
atomic systems. This mechanism up to now has not been identified,
although experiments performed at GSI (Darmstadt) show increased
positron production in heavy-ion collisions, in agreement with
theoretical predictions. In addition, however, the EPOS and Orange
experiments have detected unexpected narrow line structures first in
the positron singles spectra and subsequently monoenergetic
electron-positron pair emission. Speculations that the decay of a new
particle is observed have been ruled out by theoretical arguments and
control experiments (Bhabha scattering) and the effect presently is
not understood.
Recently the independent APEX experiment (Argonne Natl. Lab.) has
found no evidence for line structures in nearly identical
experiments. Also new measurements by the EPOS group apparently are
not able to reproduce the earlier results. There are, however,
dissenting voices maintaining that the APEX data are consistent with
the old GSI measurements. The aim of the workshop is to bring
together the workers in this field. It hopefully will help to clarify
the conflicting experimental situation and to come closer to an
explanation of the phenomenon.
The deadline for applications to attend the workshop is
April 15, 1996
Funding for travel and local expenses can be provided for a limited
number of participants.
Please send your application to the address given below.
Organizer: Walter Greiner
Institut fuer Theoretische Physik
Johann Wolfgang Goethe-Universitaet
60054 Frankfurt
Tel. +49 69 798 22332
Fax. +49 69 798 28350
Email contact: jr@th.physik.uni-frankfurt.de" (J. Reinhardt)
WWW info page: http://www.th.physik.uni-frankfurt.de/~jr/workshop.html
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
================================================================================
--- P A P E R S F U N D E D B Y R E H E
>>> please send a preprint of papers funded by REHE to Bernd A. He\ss,
>>> Institut f\"ur Physikalische und Theoretische Chemie, Universit\"at Bonn,
>>> 53115 Bonn, Germany
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by W. H. E. Schwarz]
W.H.E.Schwarz, A.Rutkowski and S.G.Wang
Understanding Relativistic Effects of Chemical Bonding
Int.J.Quantum Chem. 57 (1996) 641-653
================================================================================
--- P O S I T I O N S available
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[communicated by Konstantin Neyman]
---------------------------------------
Graduate student position at TU Munich
---------------------------------------
There is an immediate position opening for a graduate student in the quantum
chemistry group at the Chair of Theoretical Chemistry, Technical University
of Munich. The position is funded by DFG in the framework of the special
progam "Nanoporous Crystals". The scope of the work includes density
functional model cluster studies of metal species (Pd, Pt among others)
in zeolites and on oxide surfaces. Participation in the development of
computational codes is possible. We encourage applications from persons
having a good background in quantum chemistry. Experience in UNIX is
desirable. Fundamental chemistry knowledge is an advantage.
Send applications to Prof. N. Roesch, Lehrstuhl fuer Theoretische Chemie,
Technische Universitaet Muenchen, D-85747 Garching, Germany
Dr. K. Neyman
Lehrstuhl fuer Theoretische Chemie
Technische Universitaet Muenchen
Lichtenbergstrasse 4
D-85747 Garching b. Munich
Germany
tel. (+49+89) 32093596
fax (+49+89) 32093622
e-mail: neyman@theochem.tu-muenchen.de
--------------------------------------------------------------------------------
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
================================================================================
--- P O S I T I O N S sought
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[no material for this section in the current newsletter]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
================================================================================
--- ADDRESS LIST
The REHE address list comprises 178 scientists as of February 15, 1996; the
next address list will be provided with newsletter no. 19
In order to join the REHE mailing list, please complete the form below
>>> PLEASE include TEL, FAX, E-MAIL <<<
=================================================================
I am interested in receiving the REHE newsletter
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End of REHE Newsletter No. 17