We present UV pump, vacuum ultraviolet probe time-resolved photoelectron spectroscopy measurements of the excited state dynamics of cis,cis-1,3-cyclooctadiene. A 4.75 eV deep UV pump pulse launches a vibrational wave packet on the first electronically excited state, and the ensuing dynamics are probed via ionization using a 7.92 eV probe pulse. The experimental results indicate that the wave packet undergoes rapid internal conversion to the ground state in under 100 fs. Comparing the measurements with electronic structure and trajectory surface hopping calculations, we are able to interpret the features in the measured photoelectron spectra in terms of ionization to several states of the molecular cation.

1.
J. L.
Herek
,
W.
Wohlleben
,
R. J.
Cogdell
,
D.
Zeidler
, and
M.
Motzkus
, “
Quantum control of energy flow in light harvesting
,”
Nature
417
,
533
535
(
2002
).
2.
A. A.
Pascal
,
Z.
Liu
,
K.
Broess
,
B.
van Oort
,
H.
van Amerongen
,
C.
Wang
,
P.
Horton
,
B.
Robert
,
W.
Chang
, and
A.
Ruban
, “
Molecular basis of photoprotection and control of photosynthetic light-harvesting
,”
Nature
436
,
134
137
(
2005
).
3.
Y.-C.
Cheng
and
G. R.
Fleming
, “
Dynamics of light harvesting in photosynthesis
,”
Annu. Rev. Phys. Chem.
60
,
241
262
(
2009
).
4.
I.
McConnell
,
G.
Li
, and
G. W.
Brudvig
, “
Energy conversion in natural and artificial photosynthesis
,”
Chem. Biol.
17
,
434
447
(
2010
).
5.
R.
Jin
,
Y.
Cao
,
C. A.
Mirkin
,
K.
Kelly
,
G. C.
Schatz
, and
J.
Zheng
, “
Photoinduced conversion of silver nanospheres to nanoprisms
,”
Science
294
,
1901
1903
(
2001
).
6.
C.
Canuel
,
M.
Mons
,
F.
Piuzzi
,
B.
Tardivel
,
I.
Dimicoli
, and
M.
Elhanine
, “
Excited states dynamics of DNA and RNA bases: Characterization of a stepwise deactivation pathway in the gas phase
,”
J. Chem. Phys.
122
,
074316
(
2005
).
7.
T.
Gustavsson
,
R.
Improta
, and
D.
Markovitsi
, “
DNA/RNA: Building blocks of life under UV irradiation
,”
J. Phys. Chem. Lett.
1
,
2025
2030
(
2010
).
8.
J.-M. L.
Pecourt
,
J.
Peon
, and
B.
Kohler
, “
Ultrafast internal conversion of electronically excited RNA and DNA nucleosides in water
,”
J. Am. Chem. Soc.
122
,
9348
9349
(
2000
).
9.
M.
Seel
and
W.
Domcke
, “
Femtosecond time-resolved ionization spectroscopy of ultrafast internal-conversion dynamics in polyatomic molecules: Theory and computational studies
,”
J. Chem. Phys.
95
,
7806
7822
(
1991
).
10.
S.
Ullrich
,
T.
Schultz
,
M. Z.
Zgierski
, and
A.
Stolow
, “
Direct observation of electronic relaxation dynamics in adenine via time-resolved photoelectron spectroscopy
,”
J. Am. Chem. Soc.
126
,
2262
2263
(
2004
).
11.
T.
Horio
,
T.
Fuji
,
Y.-I.
Suzuki
, and
T.
Suzuki
, “
Probing ultrafast internal conversion through conical intersection via time-energy map of photoelectron angular anisotropy
,”
J. Am. Chem. Soc.
131
,
10392
10393
(
2009
).
12.
H.
Tao
,
T. K.
Allison
,
T. W.
Wright
,
A. M.
Stooke
,
C.
Khurmi
,
J.
Van Tilborg
,
Y.
Liu
,
R. W.
Falcone
,
A.
Belkacem
, and
T. J.
Martinez
, “
Ultrafast internal conversion in ethylene. I. The excited state lifetime
,”
J. Chem. Phys.
134
,
244306
(
2011
).
13.
T. K.
Allison
,
H.
Tao
,
W. J.
Glover
,
T. W.
Wright
,
A. M.
Stooke
,
C.
Khurmi
,
J.
Van Tilborg
,
Y.
Liu
,
R. W.
Falcone
,
T. J.
Martínez
 et al., “
Ultrafast internal conversion in ethylene. II. Mechanisms and pathways for quenching and hydrogen elimination
,”
J. Chem. Phys.
136
,
124317
(
2012
).
14.
C.
Dugave
and
L.
Demange
, “
Cis–trans isomerization of organic molecules and biomolecules: Implications and applications
,”
Chem. Rev.
103
,
2475
2532
(
2003
).
15.
T. J.
Martínez
, “
Insights for light-driven molecular devices from ab initio multiple spawning excited-state dynamics of organic and biological chromophores
,”
Acc. Chem. Res.
39
,
119
126
(
2006
).
16.
B. G.
Levine
and
T. J.
Martínez
, “
Isomerization through conical intersections
,”
Annu. Rev. Phys. Chem.
58
,
613
634
(
2007
).
17.
A. C.
Florean
,
D.
Cardoza
,
J. L.
White
,
J. K.
Lanyi
,
R. J.
Sension
, and
P. H.
Bucksbaum
, “
Control of retinal isomerization in bacteriorhodopsin in the high-intensity regime
,”
Proc. Natl. Acad. Sci. U. S. A.
106
,
10896
10900
(
2009
).
18.
S.
Deb
and
P. M.
Weber
, “
The ultrafast pathway of photon-induced electrocyclic ring-opening reactions: The case of 1,3-cyclohexadiene
,”
Annu. Rev. Phys. Chem.
62
,
19
39
(
2011
).
19.
W. G.
Roeterdink
and
M. H. M.
Janssen
, “
Femtosecond velocity map imaging of dissociative ionization dynamics in CF3I
,”
Phys. Chem. Chem. Phys.
4
,
601
612
(
2002
).
20.
J.
Yang
,
X.
Zhu
,
T. J. A.
Wolf
,
Z.
Li
,
J. P. F.
Nunes
,
R.
Coffee
,
J. P.
Cryan
,
M.
Gühr
,
K.
Hegazy
,
T. F.
Heinz
 et al., “
Imaging CF3I conical intersection and photodissociation dynamics with ultrafast electron diffraction
,”
Science
361
,
64
67
(
2018
).
21.
S. L.
Horton
,
Y.
Liu
,
R.
Forbes
,
V.
Makhija
,
R.
Lausten
,
A.
Stolow
,
P.
Hockett
,
P.
Marquetand
,
T.
Rozgonyi
, and
T.
Weinacht
, “
Excited state dynamics of CH2I2 and CH2BrI studied with UV pump VUV probe photoelectron spectroscopy
,”
J. Chem. Phys.
150
,
174201
(
2019
).
22.
E. G.
Champenois
,
L.
Greenman
,
N.
Shivaram
,
J. P.
Cryan
,
K. A.
Larsen
,
T. N.
Rescigno
,
C. W.
McCurdy
,
A.
Belkacem
, and
D. S.
Slaughter
, “
Ultrafast photodissociation dynamics and nonadiabatic coupling between excited electronic states of methanol probed by time-resolved photoelectron spectroscopy
,”
J. Chem. Phys.
150
,
114301
(
2019
).
23.
Y.
Liu
,
S. L.
Horton
,
J.
Yang
,
J. P. F.
Nunes
,
X.
Shen
,
T. J.
Wolf
,
R.
Forbes
,
C.
Cheng
,
B.
Moore
,
M.
Centurion
 et al., “
Spectroscopic and structural probing of excited-state molecular dynamics with time-resolved photoelectron spectroscopy and ultrafast electron diffraction
,”
Phys. Rev. X
10
,
021016
(
2020
).
24.
P.
Farmanara
,
O.
Steinkellner
,
M. T.
Wick
,
M.
Wittmann
,
G.
Korn
,
V.
Stert
, and
W.
Radloff
, “
Ultrafast internal conversion and photodissociation of molecules excited by femtosecond 155 nm laser pulses
,”
J. Chem. Phys.
111
,
6264
6270
(
1999
).
25.
M.
Barbatti
,
J.
Paier
, and
H.
Lischka
, “
Photochemistry of ethylene: A multireference configuration interaction investigation of the excited-state energy surfaces
,”
J. Chem. Phys.
121
,
11614
11624
(
2004
).
26.
H.
Tao
,
B. G.
Levine
, and
T. J.
Martínez
, “
Ab initio multiple spawning dynamics using multi-state second-order perturbation theory
,”
J. Phys. Chem. A
113
,
13656
13662
(
2009
).
27.
T.
Mori
,
W. J.
Glover
,
M. S.
Schuurman
, and
T. J.
Martinez
, “
Role of Rydberg states in the photochemical dynamics of ethylene
,”
J. Phys. Chem. A
116
,
2808
2818
(
2012
).
28.
E. G.
Champenois
,
N. H.
Shivaram
,
T. W.
Wright
,
C.-S.
Yang
,
A.
Belkacem
, and
J. P.
Cryan
, “
Involvement of a low-lying Rydberg state in the ultrafast relaxation dynamics of ethylene
,”
J. Chem. Phys.
144
,
014303
(
2016
).
29.
S. P.
Neville
,
M.
Chergui
,
A.
Stolow
, and
M. S.
Schuurman
, “
Ultrafast x-ray spectroscopy of conical intersections
,”
Phys. Rev. Lett.
120
,
243001
(
2018
).
30.
S.
Gozem
,
H. L.
Luk
,
I.
Schapiro
, and
M.
Olivucci
, “
Theory and simulation of the ultrafast double-bond isomerization of biological chromophores
,”
Chem. Rev.
117
,
13502
13565
(
2017
).
31.
Y.
Dou
,
B. R.
Torralva
, and
R. E.
Allen
, “
Detailed mechanism for trans–cis photoisomerization of butadiene following a femtosecond-scale laser pulse
,”
J. Phys. Chem. A
107
,
8817
8824
(
2003
).
32.
B. G.
Levine
and
T. J.
Martínez
, “
Ab initio multiple spawning dynamics of excited butadiene: Role of charge transfer
,”
J. Phys. Chem. A
113
,
12815
12824
(
2009
).
33.
P.
Hockett
,
E.
Ripani
,
A.
Rytwinski
, and
A.
Stolow
, “
Probing ultrafast dynamics with time-resolved multi-dimensional coincidence imaging: Butadiene
,”
J. Mod. Opt.
60
,
1409
1425
(
2013
).
34.
O.
Schalk
,
A. E.
Boguslavskiy
, and
A.
Stolow
, “
Two-photon excited state dynamics of dark valence, Rydberg, and superexcited states in 1,3-butadiene
,”
J. Phys. Chem. Lett.
5
,
560
565
(
2014
).
35.
A. E.
Boguslavskiy
,
O.
Schalk
,
N.
Gador
,
W. J.
Glover
,
T.
Mori
,
T.
Schultz
,
M. S.
Schuurman
,
T. J.
Martínez
, and
A.
Stolow
, “
Excited state non-adiabatic dynamics of the smallest polyene, trans 1,3-butadiene. I. Time-resolved photoelectron-photoion coincidence spectroscopy
,”
J. Chem. Phys.
148
,
164302
(
2018
).
36.
W. J.
Glover
,
T.
Mori
,
M. S.
Schuurman
,
A. E.
Boguslavskiy
,
O.
Schalk
,
A.
Stolow
, and
T. J.
Martínez
, “
Excited state non-adiabatic dynamics of the smallest polyene, trans 1,3-butadiene. II. Ab initio multiple spawning simulations
,”
J. Chem. Phys.
148
,
164303
(
2018
).
37.
S. A.
Trushin
,
W.
Fuß
,
T.
Schikarski
,
W. E.
Schmid
, and
K. L.
Kompa
, “
Femtosecond photochemical ring opening of 1, 3-cyclohexadiene studied by time-resolved intense-field ionization
,”
J. Chem. Phys.
106
,
9386
9389
(
1997
).
38.
J.
Kim
,
H.
Tao
,
J. L.
White
,
V. S.
Petrović
,
T. J.
Martinez
, and
P. H.
Bucksbaum
, “
Control of 1,3-cyclohexadiene photoisomerization using light-induced conical intersections
,”
J. Phys. Chem. A
116
,
2758
2763
(
2012
).
39.
J.
Kim
,
H.
Tao
,
T. J.
Martinez
, and
P.
Bucksbaum
, “
Ab initio multiple spawning on laser-dressed states: A study of 1,3-cyclohexadiene photoisomerization via light-induced conical intersections
,”
J. Phys. B: At., Mol. Opt. Phys.
48
,
164003
(
2015
).
40.
M. P.
Minitti
,
J. M.
Budarz
,
A.
Kirrander
,
J. S.
Robinson
,
D.
Ratner
,
T. J.
Lane
,
D.
Zhu
,
J. M.
Glownia
,
M.
Kozina
,
H. T.
Lemke
 et al., “
Imaging molecular motion: Femtosecond x-ray scattering of an electrocyclic chemical reaction
,”
Phys. Rev. Lett.
114
,
255501
(
2015
).
41.
C. C.
Pemberton
,
Y.
Zhang
,
K.
Saita
,
A.
Kirrander
, and
P. M.
Weber
, “
From the (1B) spectroscopic state to the photochemical product of the ultrafast ring-opening of 1,3-cyclohexadiene: A spectral observation of the complete reaction path
,”
J. Phys. Chem. A
119
,
8832
8845
(
2015
).
42.
A. R.
Attar
,
A.
Bhattacherjee
,
C. D.
Pemmaraju
,
K.
Schnorr
,
K. D.
Closser
,
D.
Prendergast
, and
S. R.
Leone
, “
Femtosecond x-ray spectroscopy of an electrocyclic ring-opening reaction
,”
Science
356
,
54
59
(
2017
).
43.
S.
Adachi
,
M.
Sato
, and
T.
Suzuki
, “
Direct observation of ground-state product formation in a 1,3-cyclohexadiene ring-opening reaction
,”
J. Phys. Chem. Lett.
6
,
343
346
(
2015
).
44.
T. J. A.
Wolf
,
D. M.
Sanchez
,
J.
Yang
,
R. M.
Parrish
,
J. P. F.
Nunes
,
M.
Centurion
,
R.
Coffee
,
J. P.
Cryan
,
M.
Gühr
,
K.
Hegazy
 et al., “
The photochemical ring-opening of 1,3-cyclohexadiene imaged by ultrafast electron diffraction
,”
Nat. Chem.
11
,
504
509
(
2019
).
45.
W.
Fuß
,
S.
Panja
,
W. E.
Schmid
, and
S. A.
Trushin
, “
Competing ultrafast cis-trans isomerization and ring closure of cyclohepta-1,3-diene and cyclo-octa-1,3-diene
,”
Mol. Phys.
104
,
1133
1143
(
2006
).
46.
K.
Komori-Orisaku
,
Y.
Hirose
, and
I.
Iwakura
, “
Pulsed Nd:YAG laser-induced photoreaction of cis,cis-1,3-cyclooctadiene at 266 nm: Selective cyclization to cis-bicyclo[4.2.0]oct-7-ene
,”
Photochem. Photobiol. Sci.
16
,
146
150
(
2017
).
47.
S. L.
Horton
,
Y.
Liu
,
P.
Chakraborty
,
S.
Matsika
, and
T.
Weinacht
, “
Vibrationally assisted below-threshold ionization
,”
Phys. Rev. A
95
,
063413
(
2017
).
48.
D. M.
Neumark
, “
Time-resolved photoelectron spectroscopy of molecules and clusters
,”
Annu. Rev. Phys. Chem.
52
,
255
277
(
2001
).
49.
A.
Stolow
,
A. E.
Bragg
, and
D. M.
Neumark
, “
Femtosecond time-resolved photoelectron spectroscopy
,”
Chem. Rev.
104
,
1719
1758
(
2004
).
50.
T.
Suzuki
, “
Femtosecond time-resolved photoelectron imaging
,”
Annu. Rev. Phys. Chem.
57
,
555
592
(
2006
).
51.
G.
Wu
,
P.
Hockett
, and
A.
Stolow
, “
Time-resolved photoelectron spectroscopy: From wavepackets to observables
,”
Phys. Chem. Chem. Phys.
13
,
18447
18467
(
2011
).
52.
T.
Suzuki
, “
Time-resolved photoelectron spectroscopy of non-adiabatic electronic dynamics in gas and liquid phases
,”
Int. Rev. Phys. Chem.
31
,
265
318
(
2012
).
53.
M. S.
Schuurman
and
A.
Stolow
, “
Dynamics at conical intersections
,”
Annu. Rev. Phys. Chem.
69
,
427
450
(
2018
).
54.
J. C.
Tully
, “
Perspective: Nonadiabatic dynamics theory
,”
J. Chem. Phys.
137
,
22A301
(
2012
).
55.
M.
Barbatti
, “
Nonadiabatic dynamics with trajectory surface hopping method
,”
Wiley Interdiscip. Rev.: Comput. Mol. Sci.
1
,
620
633
(
2011
).
56.
P.
Chakraborty
,
Y.
Liu
,
T.
Weinacht
, and
S.
Matsika
, “
Excited state dynamics of cis,cis-1,3-cyclooctadiene: Non-adiabatic trajectory surface hopping
,”
J. Chem. Phys.
152
,
174302
(
2020
).
57.
A.
Börzsönyi
,
Z.
Heiner
,
M. P.
Kalashnikov
,
A. P.
Kovács
, and
K.
Osvay
, “
Dispersion measurement of inert gases and gas mixtures at 800 nm
,”
Appl. Opt.
47
,
4856
4863
(
2008
).
58.
M.
Beutler
,
M.
Ghotbi
,
F.
Noack
, and
I. V.
Hertel
, “
Generation of sub-50-fs vacuum ultraviolet pulses by four-wave mixing in argon
,”
Opt. Lett.
35
,
1491
1493
(
2010
).
59.
M.
Ghotbi
,
M.
Beutler
, and
F.
Noack
, “
Generation of 25 μJ vacuum ultraviolet pulses with sub-50 fs duration by noncollinear four-wave mixing in argon
,”
Opt. Lett.
35
,
3492
3494
(
2010
).
60.
S. L.
Horton
,
Y.
Liu
,
P.
Chakraborty
,
S.
Matsika
, and
T.
Weinacht
, “
Ultrafast internal conversion dynamics of highly excited pyrrole studied with VUV/UV pump probe spectroscopy
,”
J. Chem. Phys.
146
,
064306
(
2017
).
61.
S. L.
Horton
,
Y.
Liu
,
P.
Chakraborty
,
P.
Marquetand
,
T.
Rozgonyi
,
S.
Matsika
, and
T.
Weinacht
, “
Strong-field-versus weak-field-ionization pump-probe spectroscopy
,”
Phys. Rev. A
98
,
053416
(
2018
).
62.
A. T. J. B.
Eppink
and
D. H.
Parker
, “
Velocity map imaging of ions and electrons using electrostatic lenses: Application in photoelectron and photofragment ion imaging of molecular oxygen
,”
Rev. Sci. Instrum.
68
,
3477
3484
(
1997
).
63.
T.
Allison
, “
Femtosecond molecular dynamics studied with vacuum ultraviolet pulse pairs
,” Ph.D. thesis,
University of California
,
Berkeley
,
2010
.
64.
A.
Zhao
,
P.
Sándor
, and
T.
Weinacht
, “
Coincidence velocity map imaging using a single detector
,”
J. Chem. Phys.
147
,
013922
(
2017
).
65.
J.
Finley
,
P.-Å.
Malmqvist
,
B. O.
Roos
, and
L.
Serrano-Andrés
, “
The multi-state CASPT2 method
,”
Chem. Phys. Lett.
288
,
299
306
(
1998
).
66.
A. A.
Granovsky
, “
Extended multi-configuration quasi-degenerate perturbation theory: The new approach to multi-state multi-reference perturbation theory
,”
J. Chem. Phys.
134
,
214113
(
2011
).
67.
T.
Shiozaki
,
W.
Győrffy
,
P.
Celani
, and
H.-J.
Werner
, “
Communication: Extended multi-state complete active space second-order perturbation theory: Energy and nuclear gradients
,”
J. Chem. Phys.
135
,
081106
(
2011
).
68.
T. H.
Dunning
, Jr.
, “
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
,”
J. Chem. Phys.
90
,
1007
1023
(
1989
).
69.
B. O.
Roos
,
P. R.
Taylor
, and
P. E. M.
Sigbahn
, “
A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach
,”
Chem. Phys.
48
,
157
173
(
1980
).
70.
J. W.
Park
, “
Single-state single-reference and multistate multireference zeroth-order Hamiltonians in MS-CASPT2 and conical intersections
,”
J. Chem. Theory Comput.
15
,
3960
3973
(
2019
).
71.
See http://www.nubakery.org for BAGEL, Brilliantly Advanced General Electronic-structure Library under the GNU General Public License.
72.
T.
Shiozaki
, “
BAGEL: Brilliantly advanced general electronic-structure library
,”
Wiley Interdiscip. Rev.: Comput. Mol. Sci.
8
,
e1331
(
2018
).
73.
H.-J.
Werner
,
P. J.
Knowles
,
G.
Knizia
,
F. R.
Manby
, and
M.
Schütz
, “
Molpro: A general-purpose quantum chemistry program package
,”
Wiley Interdiscip. Rev.: Comput. Mol. Sci.
2
,
242
253
(
2012
).
74.
H.-J.
Werner
,
P. J.
Knowles
,
G.
Knizia
,
F. R.
Manby
,
M.
Schütz
 et al., MOLPRO, version 2015.1, a package of ab initio programs,
2015
.
75.
S.
Mai
,
A.
Mohamadzade
,
P.
Marquetand
,
L.
González
, and
S.
Ullrich
, “
Simulated and experimental time-resolved photoelectron spectra of the intersystem crossing dynamics in 2-thiouracil
,”
Molecules
23
,
2836
(
2018
).
76.
W.
Arbelo-González
,
R.
Crespo-Otero
, and
M.
Barbatti
, “
Steady and time-resolved photoelectron spectra based on nuclear ensembles
,”
J. Chem. Theory Comput.
12
,
5037
5049
(
2016
).
77.
M.
Ruckenbauer
,
S.
Mai
,
P.
Marquetand
, and
L.
González
, “
Revealing deactivation pathways hidden in time-resolved photoelectron spectra
,”
Sci. Rep.
6
,
35522
(
2016
).
78.
O.
Schalk
,
T.
Geng
,
T.
Thompson
,
N.
Baluyot
,
R. D.
Thomas
,
E.
Tapavicza
, and
T.
Hansson
, “
Cyclohexadiene revisited: A time-resolved photoelectron spectroscopy and ab initio study
,”
J. Phys. Chem. A
120
,
2320
2329
(
2016
).
79.
T. J. A.
Wolf
,
T. S.
Kuhlman
,
O.
Schalk
,
T. J.
Martínez
,
K. B.
Møller
,
A.
Stolow
, and
A.-N.
Unterreiner
, “
Hexamethylcyclopentadiene: Time-resolved photoelectron spectroscopy and ab initio multiple spawning simulations
,”
Phys. Chem. Chem. Phys.
16
,
11770
11779
(
2014
).
80.
H.
Tao
, “
First principles molecular dynamics and control of photochemical reactions
,” Ph.D. thesis,
Stanford University
,
2011
.
81.
A.
Röder
, Trpes simulator, https://github.com/AnjaTRPES/TRPES-simulator (
2018
).
82.
O.
Schalk
,
A. E.
Boguslavskiy
, and
A.
Stolow
, “
Substituent effects on dynamics at conical intersections: Cyclopentadienes
,”
J. Phys. Chem. A
114
,
4058
4064
(
2010
).
83.
O.
Schalk
,
A. E.
Boguslavskiy
,
M. S.
Schuurman
,
R. Y.
Brogaard
,
A. N.
Unterreiner
,
A.
Wrona-Piotrowicz
,
N. H.
Werstiuk
, and
A.
Stolow
, “
Substituent effects on dynamics at conical intersections: Cycloheptatrienes
,”
J. Phys. Chem. A
117
,
10239
10247
(
2013
).
84.
T. N. V.
Karsili
,
M.
Thodika
,
L.
Nguyen
, and
S.
Matsika
, “
The origin of fluorescence in DNA thio-analogues
,”
Chem. Phys.
515
,
434
440
(
2018
).
85.
M.
Barbatti
,
G.
Granucci
,
M.
Ruckenbauer
,
F.
Plasser
,
R.
Crespo-Otero
,
J.
Pittner
,
M.
Persico
, and
H.
Lischka
, NEWTON-X: A package for Newtonian dynamics close to the crossing seam, version 2.2, http://www.newtonx.org.
86.
B.
Vlaisavljevich
and
T.
Shiozaki
, “
Nuclear energy gradients for internally contracted complete active space second-order perturbation theory: Multistate extensions
,”
J. Chem. Theory Comput.
12
,
3781
3787
(
2016
).
87.
J. W.
Park
and
T.
Shiozaki
, “
Analytical derivative coupling for multistate CASPT2 theory
,”
J. Chem. Theory Comput.
13
,
2561
2570
(
2017
).
88.
J. W.
Park
and
T.
Shiozaki
, “
On-the-fly CASPT2 surface-hopping dynamics
,”
J. Chem. Theory Comput.
13
,
3676
3683
(
2017
).
89.
J. C.
Tully
, “
Molecular dynamics with electronic transitions
,”
J. Chem. Phys.
93
,
1061
1071
(
1990
).
90.
G.
Granucci
and
M.
Persico
, “
Critical appraisal of the fewest switches algorithm for surface hopping
,”
J. Chem. Phys.
126
,
134114
(
2007
).
91.
C.
Zhu
,
S.
Nangia
,
A. W.
Jasper
, and
D. G.
Truhlar
, “
Coherent switching with decay of mixing: An improved treatment of electronic coherence for non-Born–Oppenheimer trajectories
,”
J. Chem. Phys.
121
,
7658
7670
(
2004
).
92.
J.
Towns
,
T.
Cockerill
,
M.
Dahan
,
I.
Foster
,
K.
Gaither
,
A.
Grimshaw
,
V.
Hazlewood
,
S.
Lathrop
,
D.
Lifka
,
G. D.
Peterson
,
R.
Roskies
,
J. R.
Scott
, and
N.
Wilkins-Diehr
, “
XSEDE: Accelerating scientific discovery
,”
Comput. Sci. Eng.
16
,
62
74
(
2014
).
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