Research Topics
Experimental Methods
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Organic Ionic Liquids, Supercooled Liquids, and Liquid Crystals
The study of the liquids as they super cool and approach the glass
transition involves affects that span a very broad range of times. The
enormous slowing down of the complete structural relaxation with decreasing
temperature is the most prominent feature of supercooled liquids. The
slowing down is seen in macroscopic observables, like viscosity and long
time diffusion, as well as in microscopic properties, like density
fluctuations and rotational correlation times. Several phenomenological
theories deal with the reduction in rates of processes in supercooled
liquids. However, dynamics in supercooled liquids cover such broad ranges of
time and amplitude that a full understanding remains an experimental and
theoretical challenge.
Room temperature organic ionic liquids (RTILs) have attracted considerable
attention due to their potential applications in a broad range of fields.
They have good solvating properties and extremely low vapor pressures, which
can make them useful solvents for reducing pollution in chemical synthesis.
In electrochemical devices like fuel and solar cells, the advantages of
RTILs arise from their thermal stability, relatively large liquid range, and
the possibility of being used as both the electrolyte and the redox couple.
RTILs are also being used in biocatalysis3 and synthesis of nanostructured
materials. The exploration of RTILs is relatively new. A systematic study of
the physical and chemical properties of this new class of liquids is
therefore important for understanding and optimizing their functionality,
and further broadening their potential applications. Furthermore, they
present a useful counter point to the properties of non-ionic organic
liquids for comparison. In terms of dynamics, the question arises as to
whether a relatively non-polar liquid such as ortho-terphenyl and an organic
ionic liquid, such as N-propyl-3-methylpyridinium
bis(trifluoromethylsulfonyl)imide (PMPIm) are fundamentally different.
The fundamental difficulty in obtaining a detailed picture of the dynamics
of complex liquids is that the time scales over which different types of
dynamics occur is enormous. In experiments we have conducted, we have
followed the orientational dynamics of liquids from the 100 fs to 10 ms time
scales, that is, over 8 decades in time. We do this using optical heterodyne
detected optical Kerr effect (OHD-OKD) experiments. The OHD-OKE technique is
discussed in the Experimental Methods section.
Another class of complex liquids that has dynamics that span a vast range of
times scale is nematogens, in the isotropic of nematic phases. The
orientational relaxation dynamics of nematogens in the isotropic phase of
liquid crystals is complex. Our recent experiments have shown that the
dynamics can be divided roughly into two time scales. On a long time scale,
the orientational relaxation is exponential and highly temperature
dependent. The exponential relaxation is well described by the Landau-de
Gennes theory. In the isotropic phase, a liquid crystal sample is
macroscopically isotropic but microscopically anisotropic. On a distance
scale short compared to a correlation length, x, the local structure is like
that of a nematic liquid crystal. As the temperature is lowered toward the
nematic-isotropic phase transition temperature, TNI, the correlation length
diverges. Below TNI, the liquid crystal is macroscopically ordered. The long
time scale exponential orientational relaxation is caused by the decay of
the local nematic structure. The decay slows as the correlation length
increases, diverging as TNI is approached from above. Until our recent work,
the nematogen dynamics on fast time scales had not been addressed in either
the isotropic or nematic phases. Like organic supercooled liquid and RTILs,
we have found that the short time behavior is characterized by several power
laws. The surprising results emerging from our studies of three seemingly
distinct types of liquids are the commonalities among them.

Figure 17 show OHD-OKE data for the organic liquid benzophenone on a log
plot. The data shown span the time range of ~500 fs to 20 ns. The data can
be viewed as a measure of the orientational relaxation of the molecules. The
OHD-OKE experiment is a non-resonant technique that is capable of looking at
almost any liquid. The slowest time component is an exponential decay. On
time scales short compared to the exponential decay, two power laws can be
identified. By studying a wide number of liquid, we identified the
intermediate power law, which until recently was not described
theoretically. As the temperature is lowered toward the glass transition,
the exponential decay becomes increasingly long. The intermediate power law
is temperature independent. We have applied mode coupling theory (MCT) to
the analysis of the temperature dependent data for seven organic liquids,
and recently, an RTIL. The initial results show that the RTIL has time and
temperature dependences that are almost identical to that of normal
non-polar organic liquids.

Figure 18 shows OHD-OKE data for a nematogen, 5-CB, in the isotropic phase.
The data span a time range from ~400 fs to 1 ms. This type of data, which we
have taken on a number of nematogens, is the first to examine the short time
behavior of nematogens in the isotropic phase. The remarkable feature is
that the functional form of the data is essentially identical to that of a
normal organic liquid. We have extended MCT to a description of nematogens
in the isotropic phase. We have also taken the first short and intermediate
time scale data in the nematic phase. In the nematic phase, the
orientational relaxations of three systems studied have entirely different
functional form from the isotropic phase. The nematic phase data is composed
of a number of power laws that are common between molecules. We have also
made the first measurements on a discotic liquid crystal.
The current challenge is to understand the similarities and differences
among distinct families of liquids. The data provide insights into the
interplay of structure, intermolecular interactions, and dynamics.
Organic Ionic Liquids, Supercooled Liquids, and Liquid Crystals Publications
288. “Comparison of the Ultrafast to Slow Timescale Dynamics of Three Liquid
Crystals in the Isotropic Phase,” S. D. Gottke, Hu Cang, Biman Bagchi, and
M. D. Fayer, J. Chem. Phys. 116, 6339-6347 (2002).
296. “Short Time Dynamics in the Isotropic Phase of Liquid Crystals: the
Aspect Ratio and the Power Law Decay,” Hu Cang, Jie Li, and M. D. Fayer,
Chem. Phys. Lett. 366, 82-87 (2002).
301. “Dynamics in Supercooled Liquids and in the Isotropic Phase of Liquid
Crystals: A Comparison,” Hu Cang, Jie Li, V.N. Novikov, and M. D. Fayer, J.
Chem. Phys., 118, 9303-9311 (2003).
310. “Orientational Dynamics of the Ionic Organic Liquid
1-Ethyl-3-Methylimidazolium Nitrate,” Hu Cang, Jie Li, and M. D. Fayer, J.
Chem. Phys. 119, 13017-13023 (2003).
323. “Ultrafast to Slow Orientational Dynamics of a Homeotropically Aligned
Nematic Liquid Crystal,” Jie Li, Irene Wang, and M. D. Fayer, J. Phys. Chem.
B 109, 6514-6519 (2005).
330. “Boson Peak in Supercooled Liquids: Time Domain Observations and Mode
Coupling Theory,” Hu Cang, Jie Li, Hans C. Andersen, and M. D. Fayer, J.
Chem. Phys. 123, 064508(7) (2005).
334. “A Mode Coupling Theory Description of the Dynamics of Nematogens in
the Isotropic Phase,” Jie Li, Hu Cang, Hans C. Andersen, and M. D. Fayer, J.
Chem. Phys. 124, 014902(8) (2006).
335. “Comparisons of the Orientational Dynamics of Three Homeotropically
Aligned Nematic Liquid Crystals,” Jie Li, I. Wang, and M. D. Fayer, J. Chem.
Phys. 124, 044906(7) (2006).
345. “Dynamics in Supercooled Ionic Organic Liquids and Mode Coupling Theory
Analysis,” Jie Li, Irene Wang, Kendall Fruchey, and M. D. Fayer, J. Phys.
Chem. A 110, 10384-10391 (2006).
349. “Dynamics of a Discotic Liquid Crystal in the Isotropic Phase,” Jie Li,
Kendall Fruchey, and M. D. Fayer J. Chem. Phys. 125, 194501-(7) (2006).
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