Local vibrational mode theory meets graph theory: Complete and non-redundant local mode sets
Chemical Physics Letters,
Journal Year:
2024,
Volume and Issue:
849, P. 141416 - 141416
Published: June 12, 2024
This
Frontiers
Article
introduces
a
unique
perspective
on
the
well-established
concept
of
completeness
in
chemically
meaningful
set
non-redundant
local
vibrational
modes.
By
utilizing
graph
theory,
we
demonstrate
how
this
naturally
arises
when
Euler's
theorem
is
fulfilled
molecular
graphs
tree,
cycle,
and
polyhedral
types.
significantly
advances
our
understanding
topology,
leading
to
new
interpretation
for
deriving
such
set.
A
key
aspect
mode
theory
decomposition
normal
modes
into
contributions,
which
provides
powerful
approach
analyzing
spectra.
however
requires
complete
modes,
as
demonstrated
IR
spectra
both
non-zwitterionic
zwitterionic
forms
glycine,
cubane
perfluorocubane
pair,
Ar–benzene
dimer.
The
mathematical
put
test
by
applying
counting
formulas
sets
series
organic
molecules
with
increasing
complexity.
Language: Английский
Chemical Bond Overlap Descriptors From Multiconfiguration Wavefunctions
Journal of Computational Chemistry,
Journal Year:
2024,
Volume and Issue:
46(1)
Published: Nov. 28, 2024
The
chemical
bond
is
a
fundamental
concept
in
chemistry,
and
various
models
descriptors
have
evolved
since
the
advent
of
quantum
mechanics.
This
study
extends
overlap
density
its
topological
(OP/TOP)
to
multiconfigurational
wavefunctions.
We
discuss
comparative
analysis
OP/TOP
using
CASSCF
DCD-CAS(2)
wavefunctions
for
diverse
range
molecular
systems,
including
X-O
bonds
X-OH
(XH,
Li,
Na,
H
Language: Английский
Local Vibrational Mode Theory Meets Graph Theory: Complete and Non-Redundant Local Mode Sets
Published: Jan. 1, 2024
This
Frontiers
Article
introduces
a
unique
perspective
on
the
well-established
concept
of
completeness
in
chemically
meaningful
set
non-redundant
local
vibrational
modes.
By
utilizing
graph
theory,
we
demonstrate
how
this
naturally
arises
when
Euler's
theorem
is
fulfilled
molecular
graphs
tree,
cycle,
and
polyhedral
types.
A
key
aspect
our
mode
theory
decomposition
normal
modes
into
contributions,
providing
comprehensive
analysis
spectra.
however
requires
complete
Our
new
tested
for
series
organic
molecules
with
increasing
complexity.
Language: Английский
Theoretical Insights into the Vibrational Spectra and Chemical Bonding of Ln(III) Complexes with a Tripodal N4O3 Ligand Along the Lanthanide Series
Physical Chemistry Chemical Physics,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Jan. 1, 2024
This
study
provides
new
theoretical
insights
into
the
vibrational
spectra
of
Ln(
iii
)
complexes,
along
lanthanide
series
by
utilizing
LModeAGen
protocol
and
integrating
cutting-edge
topological
ideas.
Language: Английский