C O M M U N I C A T I O N S
Table 1. The Relative Populations of the MS ) (1/2 levels and the
DEER Modulation Depth, λef ) λ[P(1/2) + P(-1/2)]
1
) /2. This is a consequence of the selection of the CT which
excludes the detection of all pairs with MS ) (1/2 for one Gd3+
but |MS| > 1/2 for the other. Therefore, λef depends on λ, determined
from the sub-spectrum of the CT, and the populations of the
([1/2] states, P((1/2). The estimated λ11 and λef values are listed
in Table 1. The experimental values are nonetheless smaller by a
factor of about 2. This could be due to some distortion of the initial
part of the decay caused by the finite duration of the pumping pulse
and B1 inhomogeneity along the sample.
P(
−
1/2)
P(1/2)
λ
λef
33.78 GHz, 13 K
94.9 GHz, 10 K
94.9 GHz, 25 K
0.128
0.096
0.126
0.113
0.061
0.105
0.19
0.36
0.36
4.6%
5.6%
8.3%
To conclude, this work shows that Gd3+ complexes have a
potential of being used as spin labels for HF distance measurements
in biological systems, provided that suitable labeling techniques,
similar to those used for NSL, are developed. They feature high
sensitivity, requiring only 2 µL of 0.1 mM solutions, affording high
effective B1 values, allowing for very high repetition rates due to
short spin-lattice relaxation times (<300 µs), and have negligible
orientation selectivity. More work is certainly needed to optimize
the modulation depth and to understand the exact contribution of
the transitions other than the CT.
Acknowledgment. A.R. acknowledges the help of Dr. A.
Astashkin in Ka-band measurements and discussions. We thank
Y. Lipkin and Y. Gorodetsky for their work on the W-band bridge,
and B. Epel for his constant support of the SpecMan software. The
support of NIH (S10RR 020959) and NSF (DBI-9604939) for Ka-
band instrumentation development and of the Binational USA-
Israel Science Foundation (BSF 2002175 to A.R. and D.G.) are
appreciated. D.M. thanks the Israel Science Foundation for Financial
Support. D.G. holds the Erich Klieger Professorial chair in Chemical
Physics, D.M. is the Israel Matz Professor of Organic Chemistry.
and C.G. is the recipient of Deans of Faculties Postdoctoral
Fellowship.
Figure 2. (a) The four-pulse DEER traces of the bis-Gd3+ complex recorded
at (top) Ka-band, 13 K; data shown are after removal of the background
(observer pulse 15/25/25 ns, pump 12 ns, ∆ν ) 160 MHz; see Figure S1),
(middle) W-band, 10 K (observer pulse 20/40/40 ns, pump 16 ns, ∆ν ) 83
MHz, accumulation time 5 h), (bottom) W-band, 25 K (observer pulse 16/
32/32 ns, pump 16 ns, ∆ν ) 83 MHz, accumulation time 9 h). (b) Fourier
transform of the time domain traces after background removal. (c) The
corresponding distance distributions. Peak positions are indicated on the
figure.
modulations. This behavior is characteristic of a short distance with
some distribution. The corresponding magnitude real Fourier
transforms (FT) are shown in Figure 2b, and the distance distribu-
tions obtained using DeerAnalysis200616 are shown in Figure 2c.
All FT spectra show a peak at 6.0-6.4 MHz, which corresponds
to a distance of 2-2.05 nm. The distance was derived from eq 1,
neglecting exchange interaction and cfi effects on νDD. The latter
depends on ratio of the cfi parameter D and B0. For D ∼ 37 mT
(see simulations in Supporting Information (SI) and Figure S3),
the deviation of νDD from the nominal one was found minor even
at Ka-band.11,17 Density functional theory (DFT) calculations carried
out for bis-Gd3+ complex 5 (Figure 1a) gave r ) 2.213 nm.11
Calculations performed on the monocomplex (Figure S2) showed
that solvation and counterion effects should decrease r and increase
its distribution by relaxing the D2h symmetry constrain used, in
agreement with the experimental results.11
In addition to the clear peak at ∼6.2 MHz, all FT spectra show
low-frequency features, which we attribute primarily to artifacts
due to some uncertainty in the background removal. The shallow
modulation depth and the fast initial decay characteristic of short
distances make the shape of the FT spectrum highly susceptible to
small variations in background removal. The possibility that the
low-frequency features are also related to some intrinsic properties
of the HSS, however, cannot be excluded and needs further
investigation.
Supporting Information Available: Simulations of the Ka- and
W-band ED-EPR spectra and brief discussion of its effect of cfi on
ν
DD, description of the calculations of the modulation depth, detailed
synthesis and characterization of the bis-Gd3+ complex, and results of
DFT calculations. This material is available free of charge via the
References
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1
characterized by modulation depth λ which for S ) /2 is the flip
probability of the “pumped” spins. The observed modulation depth,
λef, as seen from Figure 2 is smaller than would be expected for S
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