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CORRESPONDENCE
wileyonlinelibrary.com Adv. Mater. 2011, 23, 1433–1435
Torsten Schwich, Marie P. Cifuentes, Paul A. Gugger, Marek Samoc,
and Mark G. Humphrey*
Electronic, Molecular Weight, Molecular Volume, and Financial
Cost-Scaling and Comparison of Two-Photon Absorption
Efficiency in Disparate Molecules (Organometallic Complexes
for Nonlinear Optics. 48.) – A Response to “Comment
on ‘Organometallic Complexes for Nonlinear Optics. 45.
Dispersion of the Third-Order Nonlinear Optical Properties of
Triphenylamine-Cored Alkynylruthenium Dendrimers.’
Increasing the Nonlinear Response by Two Orders of Magnitude.”
The Comment by Pérez-Moreno and Kuzyk
[1]
and our original
paper
[2]
both focus inter alia on the crucially important problem
of comparing nonlinear absorption efficiency across different
types of material. Pérez-Moreno and Kuzyk stress the need for
normalization of the nonlinear parameters in order to perform
comparisons of nonlinear optical (NLO) merit. For reasons of
convenience, many authors have scaled NLO data by molec-
ular weight,
[3]
but such comparisons are biased against metal-
containing molecules (a point that we made in the original
manuscript), so a general approach to compare disparate
molecules is needed to facilitate materials improvement.
Pérez-Moreno and Kuzyk are correct in saying that it is
more sensible from a theoretical perspective to compare
the two-photon absorption (TPA) merit of chromophores by
scaling by the square of the number of electrons rather than
just the number of electrons. However, scaling the molecular
TPA coefficient σ
2
by the number of electrons contributing
to the response, as we did in the original paper, and as they
have improved upon in the preceding Comment, is arguably
somewhat arbitrary because it assumes that electrons in a
molecule can be clearly separated into those that form a “con-
tiguous” system and thereby contribute to the nonlinearity, and
those that do not contribute to the nonlinearity. This may be
defensible when one distinguishes between σ electrons and
π electrons, but in cases where free electron pairs and metal
valence electrons contribute to the delocalization/conjugation,
such separation may be dubious. One other concern is that, in
certain molecular assemblies, the contiguous π-system inter-
actions may not be solely responsible for the NLO merit: there
may be interactions “through space”, a possibility that certainly
exists in dendrimers where the arms may “talk” to each other
through exciton interactions as well as through the π-network.
There are other options for comparing NLO results of dis-
parate chemicals. One possibility is to scale NLO data by the
molecular volume V
m
, a justification being that compounds or
materials showing NLO effects may be used in devices or struc-
tures for which decreasing the size is important (e.g. lumines-
cent nanoparticles) and for which a (NLO merit)/ V
m
parameter
will be crucial. A second possibility is to consider the cost of
production, which would also be of interest in “downstream”
applications. Neither approach has been explored previously, so
we have taken the first steps to calculation of the volume-scaled
and cost-scaled nonlinear absorption of the organic and organo-
metallic dendrimers discussed in our earlier paper ( Figure 1),
[2,3]
and contrasted the outcomes with those obtained by the mole-
cular weight scaling and “number of effective electrons” scaling
procedures in the Comment and our earlier paper.
The V
m
values in this Response were calculated using a variety
of computational methods (Supporting Information). The cost of
production of 1 mmol of each dendrimer has been evaluated from
the published syntheses by considering all required starting mate-
rials, the labour cost of synthesis, and the yields of reactions (Sup-
porting Information). While there are approximations involved in
both scaling procedures (perhaps comparable to the errors asso-
ciated with the nonlinear absorption experiments that afforded
the σ
2
data, viz ± 20%), they do provide additional insight into
comparative NLO efficiency of disparate chemicals, and the broad
trends are not strongly dependent on the volume or economic cost
choices that were made when developing these comparisons.
The Figure 2 left and right panels compare the zero- and
first-generation organometallic and organic dendrimer pairs DOI: 10.1002/adma.201004348
T. Schwich, Dr. M. P. Cifuentes, P. A. Gugger, Prof. M. G. Humphrey
Research School of Chemistry
Australian National University
Canberra, ACT 0200, Australia
E-mail: Mark.Humphrey@anu.edu.au
Prof. M. Samoc
Institute of Physical and Theoretical Chemistry
Wroclaw University of Technology
50–370 Wroclaw, Poland