Data-Driven Improvement of Local Hybrid Functionals: Neural-Network-Based Local Mixing Functions and Power-Series Correlation Functionals
Journal of Chemical Theory and Computation,
Год журнала:
2025,
Номер
unknown
Опубликована: Янв. 13, 2025
Local
hybrid
functionals
(LHs)
use
a
real-space
position-dependent
admixture
of
exact
exchange
(EXX),
governed
by
local
mixing
function
(LMF).
The
systematic
construction
LMFs
has
been
hampered
over
the
years
lack
physical
constraints
on
their
valence
behavior.
Here,
we
exploit
data-driven
approach
and
train
new
type
"n-LMF"
as
relatively
shallow
neural
network.
input
features
are
meta-GGA
character,
while
W4-17
atomization-energy
BH76
reaction-barrier
test
sets
have
used
for
training.
Simply
replacing
widely
"t-LMF"
LH20t
functional
n-LMF
provides
LH24n-B95
functional.
Augmented
DFT-D4
dispersion
corrections,
LH24n-B95-D4
remarkably
improves
WTMAD-2
value
large
GMTKN55
suite
general
main-group
thermochemistry,
kinetics,
noncovalent
interactions
(NCIs)
from
4.55
to
3.49
kcal/mol.
As
found
limited
flexibility
B95c
correlation
disfavor
much
further
improvement
NCIs,
proceeded
replace
it
an
optimized
B97c-type
power-series
expansion.
This
gives
LH24n
LH24n-D4
3.10
kcal/mol,
so
far
lowest
rung
4
in
self-consistent
calculations.
perform
moderately
well
organometallic
transition-metal
energetics
leaving
room
improvements
that
area.
Compared
complete
neural-network
like
DM21,
present
more
tailored
just
LMF
flexible
but
well-defined
human-designed
LH
retains
possibility
graphical
analyses
gain
deeper
understanding.
We
find
both
recent
x-LMF
suppress
so-called
gauge
problem
hybrids
without
adding
calibration
required
other
LMFs.
plots
show
this
can
be
traced
back
values
small-density
region
between
interacting
atoms
NCIs
n-
x-LMFs
low
t-LMF.
also
trained
covalent
bonds
deteriorating
binding
energies.
current
enables
fast
efficient
routine
calculations
using
n-LMFs
Turbomole.
Язык: Английский
An evaluation of local double hybrid density functionals
Chemical Physics Letters,
Год журнала:
2025,
Номер
unknown, С. 142048 - 142048
Опубликована: Март 1, 2025
Язык: Английский
Combining real-space and local range separation—The MH24 locally range-separated local hybrid functional
The Journal of Chemical Physics,
Год журнала:
2024,
Номер
161(21)
Опубликована: Дек. 3, 2024
In
this
work,
the
development
of
a
new
general-purpose
exchange–correlation
hybrid
functional
based
on
recent
locally
range-separated
local
approach
is
presented.
particular,
functional,
denoted
as
MH24,
combines
non-empirical
treatment
admixture
long-range
exact
exchange
with
real-space
separation
for
exact-exchange
governed
by
mixing
function
(LMF)
and
empirical
LYP-based
correlation
to
enable
flexible
description
same-
opposite-spin
effects.
The
nine
parameters
MH24
model
have
been
optimized
using
state-of-the-art
super-self-consistent-field
approach,
which
exploits
sensitivity
specific
properties,
such
core
ionization
potentials,
electron
affinities,
atomization
energies,
in
regions
real
space
LMF
into
core,
valence,
asymptotic
part.
functionals
are
shown
be
able
simultaneously
provide
good
accuracy
valence
properties
well
affinities
noble
gas
dimer
dissociation
curves,
while
satisfying
multiple
known
constraints
related
functionals.
thus
major
step
toward
more
sophisticated
models.
Язык: Английский