Density Functional Theory Prediction of Enhanced Photomagnetic Properties of Nitronyl
Nitroxide and Imino Nitroxide Diradicals with Substituded Dihydropyrene Couplers
Md. Ehesan Ali and Sambhu N. Datta*
Department of Chemistry, Indian Institute of Technology-Bombay, Powai, Mumbai, Maharashtra, India 400076
ReceiVed: August 1, 2006; In Final Form: August 9, 2006
We predict the photoswitching magnetic properties of four substituted dihydropyrenes from density functional
broken-symmetry calculations. The magnetic exchange coupling constants differ up to 9.44 cm
-1
. The
intramolecular exchange interactions are ferromagnetic in nature. The calculated coupling constants are much
larger than those reported earlier for photomagnetic organic molecules.
Photochromism is the reversible photon-induced transition
of a chemical species between two different forms having
different absorption spectra. Photochromic materials change their
geometries and physical properties with irradiation. They are
useful in potential photoswitching. If a photoswitchable molecule
is used as a spin coupler between two magnetic units, the
magnetism of the resulting species can change upon irradiation.
1
Perfluorocyclopentene is one of the widely studied photo-
chromic spin couplers. Matsuda et al. have synthesized a large
number of nitronyl nitroxide diradicals with perfluorocyclo-
pentene.
1
In these diradicals, the intramolecular exchange
interaction is very weak, and the coupling constant J is of the
order of the hyperfine coupling constant (hfcc). The J value
differs nearly 150-fold between the open- and closed-ring
isomers. Its absolute magnitude is generally found to be <10
-3
cm
-1
for open ring isomers and ∼10
-2
cm
-1
for closed ring
isomers except for NN diradicals with 1,2-bis(2-methyl-1-
benzothiophene-3-yl)perfluorocyclopentene where J equals -0.76
and -4.03 cm
-1
, respectively.
1b,d,g
As |J| is very small in the
ground state, the photomagnetic properties of these molecules
are not expected to find a great usage. This has led to the
investigation of photoexcited states of diradicals. Teki et al. have
investigated the magnetic properties of excited states of nitronyl
nitroxide diradicals with diphenylanthracene coupler.
2
Huai et
al. have also investigated similar excited states by theoretical
means.
3
The substituted pyrene molecule exists in two different forms,
namely, cyclophanediene (CPD) and dihydropyrene (DDP), as
shown in Figure 1.
4
The restricted lifetime of CPD limits the
utility of these molecules. The thermal return of CPD to DDP
belongs to the category of Woodward-Hoffmann orbital
symmetry forbidden processes. Nevertheless, the barrier created
from the correlation of the occupied reactant orbitals with the
virtual product orbitals and vice versa is not too high for CPD
f DDP conversion. Recently, Williams et al. have found that
proper substitutions can increase the activation barrier to hinder
the thermal conversion.
5
In this work, we have investigated the ground-state photo-
magnetic properties of nitronyl nitroxide diradicals and imino-
nitroxide diradicals with substituted pyrene couplers. The four
sets of diradicals are illustrated in Figure 2. One novelty of this
work is in the choice of the coupler. To our knowledge, these
molecules have not been synthesized so far. The J values of
the isomers differ by 4.7-9.6 times for each pair. The magnitude
of J for the closed ring isomers is significantly large, which
constitutes the second novelty. Besides, the points of attachment
of the NN and IN groups are decided from the rule of spin
alternation
6
such that the resulting diradicals are ferromagnetic
in nature.
The theoretical evaluation of the magnetic exchange coupling
constant has been performed using broken-symmetry (BS)
density functional (DFT) methodology proposed by Noodle-
man.
7
The exchange interaction J between two magnetic sites
1 and 2 is normally expressed by the Heisenberg effective spin
Hamiltonian H ˆ)-2JS ˆ
1
‚S ˆ
2
where S ˆ
1
and S ˆ
2
are the respective
spin angular momentum operators. A spin-polarized, unrestricted
formalism and a broken-symmetry solution is needed for the
lowest spin state in the BS method.
8
The BS state is not an * Corresponding author. E-mail: sndatta@chem.iitb.ac.in.
Figure 1. Conversion of CPD to DDP.
Figure 2. Diradicals under investigation.
10525
2006, 110, 10525-10527
Published on Web 08/22/2006
10.1021/jp064913c CCC: $33.50 © 2006 American Chemical Society