Molecules
with
Hund’s
rule
violations
between
low-lying
singlet
and
triplet
states
may
enable
a
new
generation
of
fluorescent
emitters.
However,
only
few
classes
molecules
are
known
this
property
at
the
current
time.
Here,
we
use
high-throughput
screening
algorithm
FORMED
database
to
uncover
class
compounds
where
first
excited
state
violates
rule.
We
examine
bridged
[10]-
[14]annulene
perimeters
saturated
bridges,
relate
them
conjugated
polycyclic
systems
violations.
Despite
structural
similarities
related
non-alternant
hydrocarbons,
mechanism
is
different
in
these
annulene
perimeters.
two
molecular
orbital
configurations
contribute
each
state.
Consequently,
violation
can
be
unambiguously
assigned
based
on
symmetry
lowest
states.
With
several
examples
synthetically
realistic
molecules,
[14]annulenes
thus
provides
link
alternant
(azaphenalene)
violating
rule,
open
avenues
for
design
inverted
singlet-triplet
gaps.
The Journal of Physical Chemistry Letters,
Journal Year:
2024,
Volume and Issue:
15(30), P. 7603 - 7609
Published: July 19, 2024
We
inspect
the
origin
of
inverted
singlet-triplet
gap
(INVEST)
and
slow
change
in
reverse
intersystem
crossing
(rISC)
rate
with
temperature,
as
recently
observed.
A
Wigner
phase
space
study
reveals
that,
though
INVEST
is
found
at
equilibrium
geometry,
variation
exchange
interaction
doubles-excitation
for
other
geometries
harmonic
region
leads
to
non-INVEST
behavior.
This
highlights
importance
nuclear
degrees
freedom
phenomenon,
this
case,
geometric
puckering
studied
molecule
determines
associated
rISC
dynamics.
Physical Chemistry Chemical Physics,
Journal Year:
2024,
Volume and Issue:
26(20), P. 14505 - 14513
Published: Jan. 1, 2024
High-throughput
ab
initio
calculations
and
data-mining
reveal
Hund's
rule
to
prevail
across
the
chemical
space
of
small
organic
molecules
with
systematically
varying
compositions
structures.
Advanced Optical Materials,
Journal Year:
2025,
Volume and Issue:
unknown
Published: March 5, 2025
Abstract
Here,
the
key
role
played
by
theoretical
calculations
for
molecules
presenting
an
inverted
singlet‐triplet
excited
state
(e.g.
S
1
and
T
)
energy
difference,
or
Δ
E
ST
<
0,
whose
interest
has
steadily
raised
in
recent
years
fostered
experimental
advances
showing
negative
values
a
collection
of
real‐world
systems
is
reviewed.
The
evolution
computational
efforts
from
pioneering
on
reduced
set
prototypical
covered,
to
high‐throughput
virtual
screenings
thousands
identify
new
molecular
scaffolds
tune
properties
other
than
excitation
energies,
describe
necessary
benchmarking
methods
done
parallel
along
years.
Overall,
complementarity
prompted
discovery
more
displaying
0
values,
basic
design
principles
are
rationalized
thus
reviewed
here
too,
while
allowing
at
same
time
find
which
offer
reasonable
trade‐off
between
accuracy
cost.
Journal of Computational Chemistry,
Journal Year:
2025,
Volume and Issue:
46(8)
Published: March 26, 2025
Computational
investigations
of
Inverted
Singlet-Triplet
(INVEST)
emitters
often
rely
on
ADC(2)
and
TD-DFT
excitation
energies
(EEs)
obtained
with
the
vertical
approximation.
Here,
we
first
considered
several
cyclazine
derivatives
examine
sensitivity
EEs
(VEEs)
as
well
singlet-triplet
gaps,
ΔES1T1
to
level
at
which
ground
state
(S0)
structure
was
optimized.
For
cyclazine,
VEEs
gaps
from
or
are
spread
over
a
narrow
range
(<
0.064
eV)
whether
S0
is
optimized
various
DFT,
CCSD,
RI-MP2
methods.
However,
for
asymmetric
cyclazines,
depending
protocol
optimizing
structures,
not
only
substantially
wider
(up
0.75
but
so
0.30
eV),
leading
cases
where,
different
one
obtains
positive
significantly
negative
gaps.
We
relate
this
behavior
introduction
significant
asymmetry
bond-length
variations
in
derivatives,
formed
by
ligand
functionalization
modification
core.
On
more
note,
adiabatic
(AEEs)
display
lower
(7-30×
less)
geometry
optimization
protocols
than
their
analogs.
Crucially,
M06-HF
functional
100%
non-local
exchange
provides
closest
available
CCSD(T)
data.
show
that
effect
exists
also
other
frameworks
(e.g.,
azulene,
pentaazaphenalene,
non-alternant
polycyclic
hydrocarbons)
have
been
INVEST
property,
broader
up
1.19
eV
0.62
eV.
emitters,
it
therefore
extremely
important
judiciously
choose
computational
geometries,
computing
The Journal of Physical Chemistry A,
Journal Year:
2024,
Volume and Issue:
128(34), P. 7114 - 7123
Published: Aug. 19, 2024
In
organic
light-emitting
diodes
(OLEDs),
the
pursuit
of
efficient
molecular
emitters
has
led
to
development
thermally
activated
delayed
fluorescence
(TADF)
molecules.
While
TADF
compounds
have
promising
properties,
they
face
challenges
such
as
energy
gap
constraints
and
uphill
exciton
transfer.
Inverted
(INVEST)
offer
a
novel
solution
with
an
inverted
singlet–triplet
(ΔEST)
gap,
enabling
utilization
excitons.
This
study
examines
design
computational
analysis
array
molecules,
including
23
INVEST
remaining
positive
gaps.
Within
STEOM-DLPNO–CCSD
framework,
we
explore
role
various
fragments
in
determining
ΔEST.
We
also
assess
importance
dynamic
spin-polarization
(DSP)
obtained
via
Pariser–Parr–Pople
(PPP)
scheme
determination.
Exciting
trends
emerged
from
our
results,
pentalene-containing
consistently
manifesting
negative
ΔEST
values
while
their
naphthalene
counterparts
exhibited
contrasting
behavior.
Moreover,
observed
DSP
correlates
Overall,
this
research
advances
OLED
materials
through
analysis,
offering
avenues
for
optimizing
management
enhancing
device
performance.
The Journal of Physical Chemistry C,
Journal Year:
2024,
Volume and Issue:
128(43), P. 18313 - 18327
Published: Oct. 18, 2024
The
theoretically
disclosed,
and
experimentally
confirmed,
energy
inversion
of
the
lowest
singlet
(S1)
triplet
(T1)
excited
states
organic
molecules
(i.e.,
Hund's
rule
violation)
is
investigated
herein
with
aid
modern
nonempirically
derived
double-hybrid
(DH)
density
functionals,
in
search
best
trade-off
between
accuracy
computational
cost
viable
electronic
structure
methods.
For
that
purpose,
we
have
selected
a
family
parameter-free
expressions
differing
their
specific
formulation
(DFT-0DH,
DFT-QIDH,
DFT0-2,
SOS1-DFT-0DH,
SOS1-DFT-QIDH,
SOS1-DFT0-2,
RSX-DFT-0DH,
RSX-DFT-QIDH,
SOS1-RSX-DFT-0DH,
SOS1-RSX-DFT-QIDH)
as
well
underlying
exchange–correlation
functional
used
(PBE
vs
r2SCAN).
sake
evaluating
which
DH
can
correctly
describe
singlet–triplet
excited-state
inversion,
second-order
approximate
singles
doubles
method
spin-component
scaling
(SCS-CC2)
equation-of-motion
coupled
cluster
(EOM-CCSD)
calculations
are
also
carried
out.
results
highlight
importance
delicate
balance
all
terms
composing
correlation
part
being
particularly
significant
for
achieving
most
accurate
results.
We
new
(PBE-DH-INVEST)
exploiting
relationship,
providing
low
error
metrics
expected
to
yield
robust
in,
e.g.,
high-throughput
studies.
The Journal of Physical Chemistry Letters,
Journal Year:
2024,
Volume and Issue:
unknown, P. 10062 - 10067
Published: Sept. 26, 2024
Molecules
where
the
lowest
excited
singlet
state
is
lower
in
energy
than
triplet
are
highly
promising
for
a
number
of
organic
materials
applications
as
efficiency
limitations
stemming
from
spin
statistics
overcome.
All
molecules
known
to
possess
such
singlet-triplet
inversions
exhibit
pattern
spatially
alternating
but
nonoverlapping
HOMO
and
LUMO
orbitals,
meaning
states
local
character.
Here,
we
demonstrate
that
derivatives
bicyclic
hydrocarbon
calicene
Hund's
rule
violations
charge-transfer
(CT)
between
its
rings.
These
CT
can
be
tuned
with
substituents,
so
first
energetically
inverted.
This
provides
conceptual
connection
emerging
fields
inverted
gap
existing
molecular
design
rules
state-of-the-art
thermally
activated
delayed
fluorescence
materials.
Annual Review of Physical Chemistry,
Journal Year:
2025,
Volume and Issue:
76(1), P. 329 - 355
Published: April 21, 2025
The
inversion
of
singlet
and
triplet
states
is
a
rare
phenomenon,
where,
in
opposition
to
Hund's
first
rule,
electronic
are
stabilized
relative
their
counterparts.
recent
discovery
organic
molecules
exhibiting
this
presents
exciting
new
technological
opportunities,
such
as
addressing
stability
issues
light-emitting
diodes
(OLEDs).
In
review,
we
describe
fundamental
molecular
properties
that
can
yield
singlet-triplet
inversion,
generally
ascribed
phenomenon
known
dynamic
spin
polarization.
We
discuss
the
systems
which
was
theoretically
proposed,
experimentally
verified,
implemented
an
OLED
device.
highlight
key
insights
from
extensive
computational
work
being
carried
out
understand
intricacies
these
systems.
Finally,
consider
outlook
for
future
inverted
(IST)
emitters.
Journal of Chemical Theory and Computation,
Journal Year:
2025,
Volume and Issue:
unknown
Published: May 20, 2025
A
new
computational
protocol
utilizing
mixed-reference
spin-flip
time-dependent
density
functional
theory
(MRSF-TDDFT)
and
the
DTCAM-STG
exchange-correlation
has
been
developed
to
identify
materials
with
inverted
singlet-triplet
(INVEST)
energy
levels.
This
surpasses
existing
quantum
chemical
methods
in
both
accuracy
efficiency
for
predicting
ΔEST,
addressing
challenges
high-throughput
screening
INVEST
materials.
Based
on
this
approach,
novel
heptazine
derivatives
have
proposed,
which
are
anticipated
outperform
currently
known
systems.
Additionally,
dynamic
spin
polarization
(DSP)
identified
as
a
critical
factor
influencing
phenomena.
insight
provides
foundation
design
principles,
enabling
discovery
of
superior
performance
compared
alternatives.