Angewandte
Chemie
of the adduct is measured repeatedly, using the same batch of
ethylene for repetitive bubbling events and detecting the
NMR signal right after the bubbling is stopped, and therefore
reflects the interconversion of the NSIMs of ethylene as the
function of ethylene storage time.
103 s, which matches the value of Tlong obtained here. No
interconversion between the g and u manifolds could be
observed experimentally at 1 torr.[12] Such transitions in
ethylene imply a change in parity (symmetry of the full
molecular wavefunction with respect to an inversion in space)
and thus cannot be caused by intramolecular interac-
tions.[1,12,24,25] Therefore, at present Tlong can be tentatively
assigned to the interconversion of B1u and B2u isomers.
To further demonstrate the key role of the high molecular
The equilibration curve of the produced mixture of
NSIMs of ethylene is characterized by a rapid initial decay
followed by a much slower decline. It was fitted with
a biexponential function (solid line in Figure 3), yielding
two time constants, Tshort = (10 ꢁ 5) s and Tlong = (1000 ꢁ
400) s. The relatively large uncertainties reflect the substantial
scatter of the data points because all procedures were
performed manually. This may have led to the variations in
the ethylene yield in the hydrogenation reaction, bubbling
conditions, dissolution of ethylene in the PTSC solution, etc.,
from one measurement to another. It is important to note,
however, that complete equilibration of the NSIMs of
ethylene results in the complete disappearance of the DQF
signal of PTSCA, whereas a nonzero signal is clearly observed
in the experiments with the storage time as long as 15 minutes.
The measurement of the nuclear spin lattice relaxation time
of ethylene under experimental conditions at 7 Tyielded T1 =
(270 ꢁ 20) ms. Therefore, as even the lower bounds of the
estimated Tlong and Tshort times are much longer than T1, we
are clearly dealing with the long-lived nuclear spin states.[22]
Further analysis of the equilibration process requires
a closer look at the properties of nuclear spin isomers of
ethylene.[1,12,23–25] Ethylene in its ground electronic and vibra-
tional state is known to have four nuclear spin isomers. They
can be classified using the irreducible representations of the
D2h(M) symmetry group as Ag, B1u, B2u, and B3g species with
the nuclear multiplicities (degeneracies) of Ag:B1u:B2u:B3g =
7:3:3:3. The Ag isomer includes the quintet (I = 2) and the two
singlet (I = 0) spin states of the four hydrogen nuclei in
ethylene, whereas the other three isomers all have I = 1. Upon
heterogeneous hydrogenation of acetylene with pH2, the two
H atoms added to the two different carbon atoms can end up
either on the same (Z ethylene) or on the opposite sides
(E ethylene) with respect to the double bond of ethylene
(Figure 1). The production of Z ethylene leads to the
population of the two Ag singlet states and the B1u and B3g
triplet states with the relative population ratio of
Ag:B1u:B2u:B3g = 2:3:0:3. In contrast, the formation of E ethy-
lene yields Ag:B1u:B2u:B3g = 2:3:3:0 (see the Supporting
Information).
=
symmetry of ethylene (H2C CH2) in these studies, similar
experiments were performed with [D2]acetylene. Its hydro-
=
genation with pH2 produces [D2]ethylene (DHC CHD).The
equilibration curve of this molecule (see Figure S4 in the
Supporting Information) can be fitted using a single expo-
nential term with the time constant of about (8 ꢁ 3) s, which is
=
comparable to Tshort obtained for H2C CH2. Moreover, the
polarized signals for [D2]ethylene can be observed in the gas
or liquid phase directly, without the need to react it with
PTSC (see Figure S3). This observation is the direct con-
firmation that addition of pH2 to ethylene at least partially
proceeds in a pairwise manner and preserves the nuclear spin
correlation.[18] In contrast, for H2C CH2 no PHIP effects were
=
observed after the hydrogenation, as expected. This drastic
=
=
difference between H2C CH2 and DHC CHD is a conse-
quence of the differences in symmetry of the two molecules.
Finally, we demonstrate that ethylene produced from
acetylene and pH2 can itself exhibit hyperpolarized NMR
signals if placed in anisotropic environment, for example,
a nematic liquid crystalline solvent. The use of partially
oriented media leads to an incomplete averaging of aniso-
tropic interactions, with the dominating contribution of
residual dipolar couplings,[21,26] and results in a complex
splitting pattern in the 1H NMR spectrum of a solute. In
1
contrast to the H NMR spectrum of ethylene in isotropic
liquid or gas phase where a single peak is observed, normal
ethylene dissolved in nematic 4-cyano-4’-pentylbiphenyl
(5CB) gives the complex spectrum shown in Figure 4a along
with its modeling (Figure 4b). When ethylene produced in the
reaction of acetylene and pH2 is bubbled through 5CB for 3 s
1
followed by an immediate detection of the H DQF NMR
spectrum, an antiphase pattern is observed for some of the
spectral lines (Figure 4c). The observed effects can be
reproduced quite well by mathematical modeling, assuming
an equimolar mixture of Z and E ethylene (Figure 4d). For
symmetry reasons, the residual dipole–dipole interactions
only mix the quintet and the two singlet states belonging to
the same Ag isomer of ethylene but cannot mix nuclear spin
states of different NSIMs. Therefore, polarization for ethyl-
ene in the liquid crystal can be observed only if the relative
abundance of these particular states is nonstatistical, which is
indeed the case upon formation of both Z and E ethylene.
However, once the equilibration within the manifold of Ag
states is achieved, no polarization can be expected even if the
Ag:B1u:B2u:B3g ratio of the NSIMs is not at equilibrium.
Therefore, this experiment provides unique access to the
nuclear spin order associated with the imbalance of spin states
belonging to the same nuclear spin isomer in a highly
symmetric molecule. Importantly, the polarization in this
experiment was observed only if the produced and collected
The equilibration process in the gas phase is the result of
interconversion of the NSIMs induced by the mixing of states
of different NSIMs, which are accidentally close in energy, by
intramolecular interactions.[9,15,24,25] Several processes may
contribute to the observed curve. The interconversion time
within the u manifold (B1u$B2u) of ethylene was measured as
approximately 1800 s at the gas pressure of 1 torr.[12] Here, we
always refer to the labeling of spin isomers as used in
Ref. [25], which is different from that used in Refs. [12,24]
simply because of a different labeling of molecular axes (see
the Supporting Information). Calculations based on the direct
dipolar interaction of nuclear spins[25] successfully reproduced
this characteristic time, and also predicted that the time
constant at atmospheric pressure should be approximately
Angew. Chem. Int. Ed. 2013, 52, 1 – 6
ꢀ 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
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