The Journal of Chemical Physics,
Год журнала:
2025,
Номер
162(10)
Опубликована: Март 11, 2025
On
the
basis
of
recent
advancements
in
Hamiltonian
matrix
density
functional
for
multiple
electronic
eigenstates,
this
study
delves
into
mathematical
foundation
multistate
theory
(MSDFT).
We
extend
a
number
physical
concepts
at
core
Kohn–Sham
DFT,
such
as
representability,
to
functional.
In
work,
we
establish
existence
universal
many
states
proper
generalization
Lieb
ground
state.
Consequently,
variation
principle
MSDFT
can
be
rigorously
defined
within
an
appropriate
domain
densities,
thereby
providing
solid
framework
DFT
both
state
and
excited
states.
further
show
that
analytical
structure
is
considerably
constrained
by
subspace
symmetry
invariance
properties,
requiring
ensuring
all
elements
are
variationally
optimized
coherent
manner
until
spanned
lowest
eigenstates
obtained.
This
work
solidifies
theoretical
treat
using
theory.
Angewandte Chemie International Edition,
Год журнала:
2022,
Номер
61(42)
Опубликована: Сен. 14, 2022
Nowadays,
many
chemical
investigations
are
supported
by
routine
calculations
of
molecular
structures,
reaction
energies,
barrier
heights,
and
spectroscopic
properties.
The
lion's
share
these
quantum-chemical
applies
density
functional
theory
(DFT)
evaluated
in
atomic-orbital
basis
sets.
This
work
provides
best-practice
guidance
on
the
numerous
methodological
technical
aspects
DFT
three
parts:
Firstly,
we
set
stage
introduce
a
step-by-step
decision
tree
to
choose
computational
protocol
that
models
experiment
as
closely
possible.
Secondly,
present
recommendation
matrix
guide
choice
depending
task
at
hand.
A
particular
focus
is
achieving
an
optimal
balance
between
accuracy,
robustness,
efficiency
through
multi-level
approaches.
Finally,
discuss
selected
representative
examples
illustrate
recommended
protocols
effect
choices.
Angewandte Chemie,
Год журнала:
2022,
Номер
134(42)
Опубликована: Сен. 14, 2022
Abstract
Nowadays,
many
chemical
investigations
are
supported
by
routine
calculations
of
molecular
structures,
reaction
energies,
barrier
heights,
and
spectroscopic
properties.
The
lion's
share
these
quantum‐chemical
applies
density
functional
theory
(DFT)
evaluated
in
atomic‐orbital
basis
sets.
This
work
provides
best‐practice
guidance
on
the
numerous
methodological
technical
aspects
DFT
three
parts:
Firstly,
we
set
stage
introduce
a
step‐by‐step
decision
tree
to
choose
computational
protocol
that
models
experiment
as
closely
possible.
Secondly,
present
recommendation
matrix
guide
choice
depending
task
at
hand.
A
particular
focus
is
achieving
an
optimal
balance
between
accuracy,
robustness,
efficiency
through
multi‐level
approaches.
Finally,
discuss
selected
representative
examples
illustrate
recommended
protocols
effect
choices.
The Journal of Chemical Physics,
Год журнала:
2024,
Номер
160(9)
Опубликована: Март 7, 2024
We
review
the
GPAW
open-source
Python
package
for
electronic
structure
calculations.
is
based
on
projector-augmented
wave
method
and
can
solve
self-consistent
density
functional
theory
(DFT)
equations
using
three
different
wave-function
representations,
namely
real-space
grids,
plane
waves,
numerical
atomic
orbitals.
The
representations
are
complementary
mutually
independent
be
connected
by
transformations
via
grid.
This
multi-basis
feature
renders
highly
versatile
unique
among
similar
codes.
By
virtue
of
its
modular
structure,
code
constitutes
an
ideal
platform
implementation
new
features
methodologies.
Moreover,
it
well
integrated
with
Atomic
Simulation
Environment
(ASE),
providing
a
flexible
dynamic
user
interface.
In
addition
to
ground-state
DFT
calculations,
supports
many-body
GW
band
structures,
optical
excitations
from
Bethe-Salpeter
Equation,
variational
calculations
excited
states
in
molecules
solids
direct
optimization,
real-time
propagation
Kohn-Sham
within
time-dependent
DFT.
A
range
more
advanced
methods
describe
magnetic
non-collinear
magnetism
also
now
available.
addition,
calculate
non-linear
tensors
solids,
charged
crystal
point
defects,
much
more.
Recently,
support
graphics
processing
unit
(GPU)
acceleration
has
been
achieved
minor
modifications
thanks
CuPy
library.
end
outlook,
describing
some
future
plans
GPAW.
The Journal of Physical Chemistry A,
Год журнала:
2025,
Номер
unknown
Опубликована: Янв. 20, 2025
A
Kohn–Sham
(KS)
density-functional
energy
expression
is
derived
for
any
(ground
or
excited)
state
within
a
given
many-electron
ensemble
along
with
the
stationarity
condition
it
fulfills
respect
to
density,
thus
giving
access
both
physical
levels
and
individual-state
densities,
in
principle
exactly.
We
also
provide
working
equations
evaluation
of
latter
from
true
static
density–density
linear
response
function.
Unlike
Gould's
recent
potential
functional
approach
excited
states
[arXiv:2404.12593],
we
use
density
as
sole
basic
variable.
While
state-specific
KS
naturally
emerges
present
formalism,
at
exact
Hartree-exchange-only
(Hx)
level
approximation,
standard
implementation
orbital-optimized
theory
recovered
when
recycling
regular
ground-state
Hx-correlation
this
context.
The Journal of Physical Chemistry Letters,
Год журнала:
2022,
Номер
13(48), С. 11191 - 11200
Опубликована: Ноя. 29, 2022
Density
functional
theory,
which
is
well-recognized
for
its
accuracy
and
efficiency,
has
become
the
workhorse
modeling
electronic
structure
of
molecules
extended
materials
in
recent
decades.
Nevertheless,
establishing
a
density-based
conceptual
framework
to
appreciate
bonding,
stability,
function,
reactivity,
other
physicochemical
properties
still
an
unaccomplished
task.
In
this
Perspective,
we
at
first
provide
overview
four
pathways
currently
available
literature
tackle
matter,
including
orbital-free
density
direct
use
density-associated
quantities,
information-theoretic
approach.
Then,
highlight
several
advances
employing
these
approaches
realize
new
understandings
chemical
concepts
such
as
covalent
noncovalent
interactions,
cooperation,
frustration,
homochirality,
chirality
hierarchy,
electrophilicity,
nucleophilicity,
regioselectivity,
stereoselectivity.
Finally,
few
possibilities
future
development
relatively
uncharted
territory.
Opportunities
are
abundant,
they
all
ours
taking.
Journal of Chemical Theory and Computation,
Год журнала:
2023,
Номер
19(20), С. 7056 - 7076
Опубликована: Сен. 28, 2023
The
power
of
quantum
chemistry
to
predict
the
ground
and
excited
state
properties
complex
chemical
systems
has
driven
development
computational
software,
integrating
advances
in
theory,
applied
mathematics,
computer
science.
emergence
new
paradigms
associated
with
exascale
technologies
also
poses
significant
challenges
that
require
a
flexible
forward
strategy
take
full
advantage
existing
forthcoming
resources.
In
this
context,
sustainability
interoperability
software
are
among
most
pressing
issues.
perspective,
we
discuss
infrastructure
needs
investments
an
eye
fully
utilize
resources
provide
unique
tools
for
next-generation
science
problems
scientific
discoveries.
Advanced Materials,
Год журнала:
2024,
Номер
36(30)
Опубликована: Май 25, 2024
Abstract
Computational
chemistry
is
an
indispensable
tool
for
understanding
molecules
and
predicting
chemical
properties.
However,
traditional
computational
methods
face
significant
challenges
due
to
the
difficulty
of
solving
Schrödinger
equations
increasing
cost
with
size
molecular
system.
In
response,
there
has
been
a
surge
interest
in
leveraging
artificial
intelligence
(AI)
machine
learning
(ML)
techniques
silico
experiments.
Integrating
AI
ML
into
increases
scalability
speed
exploration
space.
remain,
particularly
regarding
reproducibility
transferability
models.
This
review
highlights
evolution
from,
complementing,
or
replacing
energy
property
predictions.
Starting
from
models
trained
entirely
on
numerical
data,
journey
set
forth
toward
ideal
model
incorporating
physical
laws
quantum
mechanics.
paper
also
reviews
existing
their
intertwining,
outlines
roadmap
future
research,
identifies
areas
improvement
innovation.
Ultimately,
goal
develop
architectures
capable
accurate
transferable
solutions
equation,
thereby
revolutionizing
experiments
within
materials
science.