22 research outputs found
The Destination
It is sometimes difficult to realize that you are making progress, especially in medical school. You fight your way through the dark woods, getting scratched by loose branches, not quite sure if your feet are pointed in the right direction. Sometimes the journey feels like the mountain is collapsing, your feet are falling under you, your fingers throb from frost bite. Yet, there are the days where you stop and see the beauty of the journey in front of you. The winter is not always a cold, barren place, it holds so much beauty and it is worth the fight to continue
Understanding Energy Transfer in GasāSurface Collisions from Gas-Phase Models
Large-scale
trajectory simulations of different projectiles colliding
with an organic surface, as well as a gasāsurface model for
energy transfer, are employed to investigate the effects of the mass,
size, shape, and vibrational frequencyĀ(ies) of the projectile and
of the projectileāsurface interaction potential on the energy-transfer
dynamics. The gasāsurface model employed in this work relies
on simple gas-phase scattering models. When energy transfer is analyzed
in the limit of high incident energies, the following results are
found in this study. The percent of energy transfer to vibration (and
rotation) of light diatomic projectiles decreases as the projectileās
mass increases, while this transfer is almost independent of the mass
for heavier projectiles. Transfer to final translation of diatomic
projectiles is a U-shaped function of the projectileās mass,
as predicted by the hard cube model. For larger projectiles, the partitioning
of the energy transferred to the internal degrees of freedom (dof)
between vibration and rotation depends on the projectileās
size. In other words, transfer to rotation is more important for the
smaller projectiles, while transfer to vibration dominates for the
bigger ones, which have more vibrational dof. For small projectiles
(less than 10 atoms), transfer to vibration increases as a function
of the projectileās size. However, for larger projectiles,
the percent transfer to vibration is nearly constant, a result that
can be attributed to a mass effect and also to the fact that only
a reduced subset of āeffectiveā vibrational dof is being
activated in the collisions. For linear hydrocarbons colliding with
the perfluorinated self-assembled monolayer (F-SAM), the number of
āeffectiveā modes was estimated to be around 18, which
corresponds to a percent energy transfer to vibration of 20ā22%.
The percent transfer to vibration of the more compact cyclic molecules
is a bit higher than that for their linear counterparts
How a Solvent Molecule Affects Competing Elimination and Substitution Dynamics. Insight into Mechanism Evolution with Increased Solvation
Competiting
S<sub>N</sub>2 substitution and E2 elimination reactions are of central
importance in preparative organic synthesis. Here, we unravel how
individual solvent molecules may affect underlying S<sub>N</sub>2/E2
atomistic dynamics, which remains largely unclear with respective
to their effects on reactivity. Results are presented for a prototype
microsolvated case of fluoride anion reacting with ethyl bromide.
Reaction dynamics simulations reproduce experimental findings at near
thermal energies and show that the E2 mechanism dominates over S<sub>N</sub>2 for solvent-free reaction. This is energetically quite unexpected
and results from dynamical effects. Adding one solvating methanol
molecule introduces strikingly distinct dynamical behaviors that largely
promote the S<sub>N</sub>2 reaction, a feature which attributes to
a differential soluteāsolvent interaction at the central barrier
that more strongly stabilizes the transition state for substitution.
Upon further solvation, this enhanced stabilization of the S<sub>N</sub>2 mechanism becomes more pronounced, concomitant with drastic suppression
of the E2 route. This work highlights the interplay between energetics
and dynamics in determining mechanistic selectivity and provides insight
into the impact of solvent molecules on a general transition from
elimination to substitution for chemical reactions proceeding from
gas- to solution-phase environments
How a Solvent Molecule Affects Competing Elimination and Substitution Dynamics. Insight into Mechanism Evolution with Increased Solvation
Competiting
S<sub>N</sub>2 substitution and E2 elimination reactions are of central
importance in preparative organic synthesis. Here, we unravel how
individual solvent molecules may affect underlying S<sub>N</sub>2/E2
atomistic dynamics, which remains largely unclear with respective
to their effects on reactivity. Results are presented for a prototype
microsolvated case of fluoride anion reacting with ethyl bromide.
Reaction dynamics simulations reproduce experimental findings at near
thermal energies and show that the E2 mechanism dominates over S<sub>N</sub>2 for solvent-free reaction. This is energetically quite unexpected
and results from dynamical effects. Adding one solvating methanol
molecule introduces strikingly distinct dynamical behaviors that largely
promote the S<sub>N</sub>2 reaction, a feature which attributes to
a differential soluteāsolvent interaction at the central barrier
that more strongly stabilizes the transition state for substitution.
Upon further solvation, this enhanced stabilization of the S<sub>N</sub>2 mechanism becomes more pronounced, concomitant with drastic suppression
of the E2 route. This work highlights the interplay between energetics
and dynamics in determining mechanistic selectivity and provides insight
into the impact of solvent molecules on a general transition from
elimination to substitution for chemical reactions proceeding from
gas- to solution-phase environments
How a Solvent Molecule Affects Competing Elimination and Substitution Dynamics. Insight into Mechanism Evolution with Increased Solvation
Competiting
S<sub>N</sub>2 substitution and E2 elimination reactions are of central
importance in preparative organic synthesis. Here, we unravel how
individual solvent molecules may affect underlying S<sub>N</sub>2/E2
atomistic dynamics, which remains largely unclear with respective
to their effects on reactivity. Results are presented for a prototype
microsolvated case of fluoride anion reacting with ethyl bromide.
Reaction dynamics simulations reproduce experimental findings at near
thermal energies and show that the E2 mechanism dominates over S<sub>N</sub>2 for solvent-free reaction. This is energetically quite unexpected
and results from dynamical effects. Adding one solvating methanol
molecule introduces strikingly distinct dynamical behaviors that largely
promote the S<sub>N</sub>2 reaction, a feature which attributes to
a differential soluteāsolvent interaction at the central barrier
that more strongly stabilizes the transition state for substitution.
Upon further solvation, this enhanced stabilization of the S<sub>N</sub>2 mechanism becomes more pronounced, concomitant with drastic suppression
of the E2 route. This work highlights the interplay between energetics
and dynamics in determining mechanistic selectivity and provides insight
into the impact of solvent molecules on a general transition from
elimination to substitution for chemical reactions proceeding from
gas- to solution-phase environments
How a Solvent Molecule Affects Competing Elimination and Substitution Dynamics. Insight into Mechanism Evolution with Increased Solvation
Competiting
S<sub>N</sub>2 substitution and E2 elimination reactions are of central
importance in preparative organic synthesis. Here, we unravel how
individual solvent molecules may affect underlying S<sub>N</sub>2/E2
atomistic dynamics, which remains largely unclear with respective
to their effects on reactivity. Results are presented for a prototype
microsolvated case of fluoride anion reacting with ethyl bromide.
Reaction dynamics simulations reproduce experimental findings at near
thermal energies and show that the E2 mechanism dominates over S<sub>N</sub>2 for solvent-free reaction. This is energetically quite unexpected
and results from dynamical effects. Adding one solvating methanol
molecule introduces strikingly distinct dynamical behaviors that largely
promote the S<sub>N</sub>2 reaction, a feature which attributes to
a differential soluteāsolvent interaction at the central barrier
that more strongly stabilizes the transition state for substitution.
Upon further solvation, this enhanced stabilization of the S<sub>N</sub>2 mechanism becomes more pronounced, concomitant with drastic suppression
of the E2 route. This work highlights the interplay between energetics
and dynamics in determining mechanistic selectivity and provides insight
into the impact of solvent molecules on a general transition from
elimination to substitution for chemical reactions proceeding from
gas- to solution-phase environments
How a Solvent Molecule Affects Competing Elimination and Substitution Dynamics. Insight into Mechanism Evolution with Increased Solvation
Competiting
S<sub>N</sub>2 substitution and E2 elimination reactions are of central
importance in preparative organic synthesis. Here, we unravel how
individual solvent molecules may affect underlying S<sub>N</sub>2/E2
atomistic dynamics, which remains largely unclear with respective
to their effects on reactivity. Results are presented for a prototype
microsolvated case of fluoride anion reacting with ethyl bromide.
Reaction dynamics simulations reproduce experimental findings at near
thermal energies and show that the E2 mechanism dominates over S<sub>N</sub>2 for solvent-free reaction. This is energetically quite unexpected
and results from dynamical effects. Adding one solvating methanol
molecule introduces strikingly distinct dynamical behaviors that largely
promote the S<sub>N</sub>2 reaction, a feature which attributes to
a differential soluteāsolvent interaction at the central barrier
that more strongly stabilizes the transition state for substitution.
Upon further solvation, this enhanced stabilization of the S<sub>N</sub>2 mechanism becomes more pronounced, concomitant with drastic suppression
of the E2 route. This work highlights the interplay between energetics
and dynamics in determining mechanistic selectivity and provides insight
into the impact of solvent molecules on a general transition from
elimination to substitution for chemical reactions proceeding from
gas- to solution-phase environments
How a Solvent Molecule Affects Competing Elimination and Substitution Dynamics. Insight into Mechanism Evolution with Increased Solvation
Competiting
S<sub>N</sub>2 substitution and E2 elimination reactions are of central
importance in preparative organic synthesis. Here, we unravel how
individual solvent molecules may affect underlying S<sub>N</sub>2/E2
atomistic dynamics, which remains largely unclear with respective
to their effects on reactivity. Results are presented for a prototype
microsolvated case of fluoride anion reacting with ethyl bromide.
Reaction dynamics simulations reproduce experimental findings at near
thermal energies and show that the E2 mechanism dominates over S<sub>N</sub>2 for solvent-free reaction. This is energetically quite unexpected
and results from dynamical effects. Adding one solvating methanol
molecule introduces strikingly distinct dynamical behaviors that largely
promote the S<sub>N</sub>2 reaction, a feature which attributes to
a differential soluteāsolvent interaction at the central barrier
that more strongly stabilizes the transition state for substitution.
Upon further solvation, this enhanced stabilization of the S<sub>N</sub>2 mechanism becomes more pronounced, concomitant with drastic suppression
of the E2 route. This work highlights the interplay between energetics
and dynamics in determining mechanistic selectivity and provides insight
into the impact of solvent molecules on a general transition from
elimination to substitution for chemical reactions proceeding from
gas- to solution-phase environments
Anharmonic Densities of States for Vibrationally Excited I<sup>ā</sup>(H<sub>2</sub>O), (H<sub>2</sub>O)<sub>2</sub>, and I<sup>ā</sup>(H<sub>2</sub>O)<sub>2</sub>
Monte
Carlo sampling calculations were performed to determine the
anharmonic sum of states, <i>N</i><sub>anh</sub>(<i>E</i>), for I<sup>ā</sup>(H<sub>2</sub>O), (H<sub>2</sub>O)<sub>2</sub>, and I<sup>ā</sup>(H<sub>2</sub>O)<sub>2</sub> versus internal energy up to their dissociation energies. The anharmonic
density of states, Ļ<sub>anh</sub>(<i>E</i>), is found
from the energy derivative of <i>N</i><sub>anh</sub>(<i>E</i>). Analytic potential energy functions are used for the
calculations, consisting of TIP4P for H<sub>2</sub>OĀ·Ā·Ā·H<sub>2</sub>O interactions and an accurate two-body potential for the
I<sup>ā</sup>Ā·Ā·Ā·H<sub>2</sub>O fit to quantum
chemical calculations. The extensive Monte Carlo samplings are computationally
demanding, and the use of computationally efficient potentials was
essential for the calculations. Particular emphasis is directed toward
I<sup>ā</sup>(H<sub>2</sub>O)<sub>2</sub>, and distributions
of its structures versus internal energy are consistent with experimental
studies of the temperature-dependent vibrational spectra. At their
dissociation thresholds, the anharmonic to harmonic density of states
ratio, Ļ<sub>anh</sub>(<i>E</i>)/Ļ<sub>h</sub>(<i>E</i>), is ā¼2, ā¼ 3, and ā¼260 for
I<sup>ā</sup>(H<sub>2</sub>O), (H<sub>2</sub>O)<sub>2</sub>, and I<sup>ā</sup>(H<sub>2</sub>O)<sub>2</sub>, respectively.
The large ratio for I<sup>ā</sup>(H<sub>2</sub>O)<sub>2</sub> results from the I<sup>ā</sup>(H<sub>2</sub>O)<sub>2</sub> ā I<sup>ā</sup>(H<sub>2</sub>O) + H<sub>2</sub>O dissociation
energy being more than 2 times larger than the (H<sub>2</sub>O)<sub>2</sub> ā 2H<sub>2</sub>O dissociation energy, giving rise
to highly mobile H<sub>2</sub>O molecules near the I<sup>ā</sup>(H<sub>2</sub>O)<sub>2</sub> dissociation threshold. This work illustrates
the importance of treating anharmonicity correctly in unimolecular
rate constant calculations
Chemical Dynamics Simulations of Intermolecular Energy Transfer: Azulene + N<sub>2</sub> Collisions
Chemical dynamics
simulations were performed to investigate collisional
energy transfer from highly vibrationally excited azulene (Az*) in
a N<sub>2</sub> bath. The intermolecular potential between Az and
N<sub>2</sub>, used for the simulations, was determined from MP2/6-31+G*
ab initio calculations. Az* is prepared with an 87.5 kcal/mol excitation
energy by using quantum microcanonical sampling, including its 95.7
kcal/mol zero-point energy. The average energy of Az* versus time,
obtained from the simulations, shows different rates of Az* deactivation
depending on the N<sub>2</sub> bath density. Using the N<sub>2</sub> bath density and Lennard-Jones collision number, the average energy
transfer per collision āØĪ<i>E</i><sub>c</sub>ā© was obtained for Az* as it is collisionally relaxed. By
comparing āØĪ<i>E</i><sub>c</sub>ā© versus
the bath density, the single collision limiting density was found
for energy transfer. The resulting āØĪ<i>E</i><sub>c</sub>ā©, for an 87.5 kcal/mol excitation energy, is
0.30 Ā± 0.01 and 0.32 Ā± 0.01 kcal/mol for harmonic and anharmonic
Az potentials, respectively. For comparison, the experimental value
is 0.57 Ā± 0.11 kcal/mol. During Az* relaxation there is no appreciable
energy transfer to Az translation and rotation, and the energy transfer
is to the N<sub>2</sub> bath