The DOI matches its Crossref record; 75 of the 75 references it cites were found in a registry or an index.
Spin–orbit coupling and intersystem crossing in molecules
Abstract
Many light‐induced molecular processes involve a change in spin state and are formally forbidden in non‐relativistic quantum theory. To make them happen, spin–orbit coupling (SOC) has to be invoked. Intersystem crossing (ISC), the nonradiative transition between two electronic states of different multiplicity, plays a key role in photochemistry and photophysics with a broad range of applications including molecular photonics, biological photosensors, photodynamic therapy, and materials science. Quantum chemistry has become a valuable tool for gaining detailed insight into the mechanisms of ISC. After a short introduction highlighting the importance of ISC and a brief description of the relativistic origins of SOC, this article focusses on approximate SOC operators for practical use in molecular applications and reviews state‐of‐the‐art theoretical methods for evaluating ISC rates. Finally, a few sample applications are discussed that underline the necessity of studying the mechanisms of ISC processes beyond qualitative rules such as the El‐Sayed rules and the energy gap law. © 2011 John Wiley & Sons, Ltd. This article is categorized under: Structure and Mechanism > Molecular Structures
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Non-adiabatic crossing of energy levels
Zener, C. (1932) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1932.0165 · Cited by 4,572
The quantum theory of the electron
Dirac, P. A. M. (1928) · Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1928.0023 · Cited by 3,657
White organic light-emitting diodes with fluorescent tube efficiency
Reineke, S., Lindner, F., Schwartz, G., Seidler, N., Walzer, K., Lüssem, B., & Leo, K. (2009) · Nature · doi:10.1038/nature08003 · Cited by 3,462
Nearly 100% internal phosphorescence efficiency in an organic light-emitting device
Adachi, C., Baldo, M. A., Thompson, M. E., & Forrest, S. R. (2001) · Journal of Applied Physics · doi:10.1063/1.1409582 · Cited by 3,458
Quantum electrodynamical corrections to the fine structure of helium
Douglas, M., & Kroll, N. M. (1974) · Annals of Physics · doi:10.1016/0003-4916(74)90333-9 · Cited by 2,955
Characterization of electronic transitions in complex molecules
Kasha, M. (1950) · Discussions of the Faraday Society · doi:10.1039/df9500900014 · Cited by 2,903
Brédas, J.-L., Beljonne, D., Coropceanu, V., & Cornil, J. (2004) · Chemical Reviews · doi:10.1021/cr040084k · Cited by 2,878
The energy gap law for radiationless transitions in large molecules
Englman, R., & Jortner, J. (1970) · Molecular Physics · doi:10.1080/00268977000100171 · Cited by 2,778
Hess, B. A. (1986) · Physical Review A · doi:10.1103/physreva.33.3742 · Cited by 2,521
On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
Foldy, L. L., & Wouthuysen, S. A. (1950) · Physical Review · doi:10.1103/physrev.78.29 · Cited by 2,183
Thermal and Optical Switching of Iron( II ) Complexes
Gütlich, P., Hauser, A., & Spiering, H. (1994) · Angewandte Chemie International Edition in English · doi:10.1002/anie.199420241 · Cited by 2,146
Berechnung der nat�rlichen Linienbreite auf Grund der Diracschen Lichttheorie
Weisskopf, V., & Wigner, E. (1930) · Zeitschrift f�r Physik · doi:10.1007/bf01336768 · Cited by 1,797
Spin—Orbit Coupling and the Radiationless Processes in Nitrogen Heterocyclics
El-Sayed, M. A. (1963) · The Journal of Chemical Physics · doi:10.1063/1.1733610 · Cited by 1,530
A mean-field spin-orbit method applicable to correlated wavefunctions
Heß, B. A., Marian, C. M., Wahlgren, U., & Gropen, O. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(96)00119-4 · Cited by 1,262
Self-citationExcited states and photochemistry of organic molecules
(1996) · Choice Reviews Online · doi:10.5860/choice.33-3919 · Cited by 1,250
Berning, A., Schweizer, M., Werner, H., Knowles, P. J., & Palmieri, P. (2000) · Molecular Physics · doi:10.1080/00268970009483386 · Cited by 1,072
Hess, B. A. (1985) · Physical Review A · doi:10.1103/physreva.32.756 · Cited by 1,018
Revision of the Douglas-Kroll transformation
Jansen, G., & Hess, B. A. (1989) · Physical Review A · doi:10.1103/physreva.39.6016 · Cited by 931
The Effect of Retardation on the Interaction of Two Electrons
Breit, G. (1929) · Physical Review · doi:10.1103/physrev.34.553 · Cited by 860
Neese, F. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1829047 · Cited by 856
Santoro, F., Lami, A., Improta, R., Bloino, J., & Barone, V. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2929846 · Cited by 688
Buenker, R. J., & Phillips, R. A. (1985) · Journal of Molecular Structure: THEOCHEM · doi:10.1016/0166-1280(85)80172-x · Cited by 653
Introduction to Relativistic Quantum Chemistry
Dyall, K. G., & Faegri, K. (2007) · Oxford University Press eBooks · doi:10.1093/oso/9780195140866.001.0001 · Cited by 633
Neese, F. (2001) · The Journal of Chemical Physics · doi:10.1063/1.1419058 · Cited by 583
Ab initio pseudopotentials for Hg through Rn: I. Parameter sets and atomic calculations
Küchle, W., Dolg, M., Stoll, H., & Preuss, H. (1991) · Molecular Physics · doi:10.1080/00268979100102941 · Cited by 578
An exact separation of the spin-free and spin-dependent terms of the Dirac–Coulomb–Breit Hamiltonian
Dyall, K. G. (1994) · The Journal of Chemical Physics · doi:10.1063/1.466508 · Cited by 569
Multiphonon Processes in the Nonradiative Decay of Large Molecules
Freed, K. F., & Jortner, J. (1970) · The Journal of Chemical Physics · doi:10.1063/1.1672938 · Cited by 561
Theory of Excited State Decays and Optical Spectra: Application to Polyatomic Molecules
Niu, Y., Peng, Q., Deng, C., Gao, X., & Shuai, Z. (2010) · The Journal of Physical Chemistry A · doi:10.1021/jp101568f · Cited by 487
Understanding the kinetics of spin-forbidden chemical reactions
Harvey, J. N. (2007) · Phys. Chem. Chem. Phys. · doi:10.1039/b614390c · Cited by 442
�ber die nat�rliche Linienbreite in der Strahlung des harmonischen Oszillators
Weisskopf, V., & Wigner, E. (1930) · Zeitschrift f�r Physik · doi:10.1007/bf01397406 · Cited by 432
Computational molecular spectroscopy
Barone, V., Alessandrini, S., Biczysko, M., Cheeseman, J. R., Clary, D. C., McCoy, A. B., DiRisio, R. J., Neese, F., Melosso, M., & Puzzarini, C. (2021) · Nature Reviews Methods Primers · doi:10.1038/s43586-021-00034-1 · Cited by 422
Intersystem Crossing Processes in Nonplanar Aromatic Heterocyclic Molecules
Schmidt, K., Brovelli, S., Coropceanu, V., Beljonne, D., Cornil, J., Bazzini, C., Caronna, T., Tubino, R., Meinardi, F., Shuai, Z., et al. (2007) · The Journal of Physical Chemistry A · doi:10.1021/jp075248q · Cited by 377
Density functional calculations of the vibronic structure of electronic absorption spectra
Dierksen, M., & Grimme, S. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1642595 · Cited by 318
The photophysics, physical photochemistry, and related spectroscopy of thiocarbonyls
Maciejewski, A., & Steer, R. P. (1993) · Chemical Reviews · doi:10.1021/cr00017a005 · Cited by 313
Theory of spin-orbit coupling in atoms I. Derivation of the spin-orbit coupling constant
Blume, M., & Watson, R. E. (1962) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0207 · Cited by 308
Peng, Q., Yi, Y., Shuai, Z., & Shao, J. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2710274 · Cited by 306
Relativistic Quantum Chemistry: The Fundamental Theory of Molecular Science
Reiher, M., & Wolf, A. (2009) · Wiley eBooks · doi:10.1002/9783527627486 · Cited by 296
Schreckenbach, G., & Ziegler, T. (1997) · International Journal of Quantum Chemistry · doi:10.1002/(sici)1097-461x(1997)61:6<899::aid-qua3>3.0.co;2-r · Cited by 290
Henry, B. R., & Siebrand, W. (1971) · The Journal of Chemical Physics · doi:10.1063/1.1674940 · Cited by 266
Relativistic energy‐consistent pseudopotentials—Recent developments
Stoll, H., Metz, B., & Dolg, M. (2002) · Journal of Computational Chemistry · doi:10.1002/jcc.10037 · Cited by 258
(1982) · Elsevier eBooks · doi:10.1016/c2009-0-24486-2 · Cited by 231
Berger, R., Fischer, C., & Klessinger, M. (1998) · The Journal of Physical Chemistry A · doi:10.1021/jp981597w · Cited by 204
Spin-Orbit Coupling and Other Relativistic Effects in Atoms and Molecules
Ermler, W. C., Ross, R. B., & Christiansen, P. A. (1988) · Advances in Quantum Chemistry · doi:10.1016/s0065-3276(08)60615-2 · Cited by 201
Time-dependent approaches for the calculation of intersystem crossing rates
Etinski, M., Tatchen, J., & Marian, C. M. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3575582 · Cited by 195
Self-citationHeller, D. F., Freed, K. F., & Gelbart, W. M. (1972) · The Journal of Chemical Physics · doi:10.1063/1.1677535 · Cited by 190
Jankowiak, H.-C., Stuber, J. L., & Berger, R. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2805398 · Cited by 175
Marcus, R. A. (1984) · The Journal of Chemical Physics · doi:10.1063/1.447418 · Cited by 173
Kleinschmidt, M., Tatchen, J., & Marian, C. M. (2002) · Journal of Computational Chemistry · doi:10.1002/jcc.10064 · Cited by 168
Self-citationIntersystem crossing driven by vibronic spin–orbit coupling: a case study on psoralen
Tatchen, J., Gilka, N., & Marian, C. M. (2007) · Physical Chemistry Chemical Physics · doi:10.1039/b706410a · Cited by 166
Self-citationA new mean-field and ECP-based spin-orbit method. Applications to Pt and PtH
Marian, C. M., & Wahlgren, U. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(95)01386-5 · Cited by 163
Self-citationResponse Theory and Calculations of Spin-Orbit Coupling Phenomena in Molecules
Ågren, H., Vahtras, O., & Minaev, B. (1996) · Advances in Quantum Chemistry · doi:10.1016/s0065-3276(08)60251-8 · Cited by 162
An efficient approach for the calculation of Franck–Condon integrals of large molecules
Dierksen, M., & Grimme, S. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1924389 · Cited by 156
Perun, S., Tatchen, J., & Marian, C. M. (2008) · ChemPhysChem · doi:10.1002/cphc.200700509 · Cited by 134
Self-citationReichardt, C. L., Vogt, R. A., & Crespo‐Hernández, C. E. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3272536 · Cited by 132
Griesbeck, A. G., Abe, M., & Bondock, S. (2004) · Accounts of Chemical Research · doi:10.1021/ar040081u · Cited by 125
Minns, R. S., Parker, D. S. N., Penfold, T. J., Worth, G. A., & Fielding, H. H. (2010) · Physical Chemistry Chemical Physics · doi:10.1039/c001671c · Cited by 113
Etinski, M., Fleig, T., & Marian, C. M. (2009) · The Journal of Physical Chemistry A · doi:10.1021/jp902944a · Cited by 111
Self-citationCavaleri, J. J., Prater, K., & Bowman, R. M. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(96)00782-8 · Cited by 92
Light-Induced Excited Spin State Trapping: Ab Initio Study of the Physics at the Molecular Level
Suaud, N., Bonnet, M., Boilleau, C., et al. (2008) · Journal of the American Chemical Society · doi:10.1021/ja805626s · Cited by 89
Solvent dependence of the intersystem crossing kinetics of thioxanthone
Ley, C., Morlet‐Savary, F., Jacques, P., & Fouassier, J. P. (2000) · Chemical Physics · doi:10.1016/s0301-0104(00)00056-2 · Cited by 80
AB INITIO CALCULATION OF SPIN–ORBIT EFFECTS IN MOLECULES INCLUDING ELECTRON CORRELATION
Hess, B. A., Marian, C. M., & Peyerimhoff, S. D. (1995) · Advanced series in physical chemistry · doi:10.1142/9789812832108_0004 · Cited by 79
Self-citationRelativistic Effects in Chemistry
Almløf, J., & Gropen, O. (1996) · Reviews in computational chemistry · doi:10.1002/9780470125854.ch4 · Cited by 79
Efficient calculation of Franck–Condon factors and vibronic couplings in polyatomics
Toniolo, A., & Persico, M. (2001) · Journal of Computational Chemistry · doi:10.1002/jcc.1057 · Cited by 76
Hayashi, M., Mebel, A. M., Liang, K. K., & Lin, S. H. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475584 · Cited by 73
Intramolecular Nonradiative Transitions in the ``Non-Condon'' Scheme
Nitzan, A., & Jortner, J. (1972) · The Journal of Chemical Physics · doi:10.1063/1.1677705 · Cited by 72
Salzmann, S., Martínez‐Junza, V., Zorn, B., Braslavsky, S. E., Mansurova, M., Marian, C. M., & Gärtner, W. (2009) · The Journal of Physical Chemistry A · doi:10.1021/jp905724b · Cited by 72
Self-citationTatchen, J., & Marian, C. M. (2006) · Physical Chemistry Chemical Physics · doi:10.1039/b518436c · Cited by 59
Self-citationEfficient generation of configuration interaction matrix elements
Wetmore, R. W., & Segal, G. A. (1975) · Chemical Physics Letters · doi:10.1016/0009-2614(75)80284-3 · Cited by 49
Photoreactivity of Furocoumarins and DNA in PUVA Therapy: Formation of Psoralen−Thymine Adducts
Serrano-Pérez, J. J., Merchán, M., & Serrano‐Andrés, L. (2008) · The Journal of Physical Chemistry B · doi:10.1021/jp805523d · Cited by 48
Daza, M. C., Doerr, M., Salzmann, S., Marian, C. M., & Thiel, W. (2009) · Physical Chemistry Chemical Physics · doi:10.1039/b815724c · Cited by 44
Self-citationUltrafast cascading theory of intersystem crossings in transition-metal complexes
Chang, J., Fedro, A. J., & van Veenendaal, M. (2010) · Physical Review B · doi:10.1103/physrevb.82.075124 · Cited by 42
Overruling the energy gap law: fast triplet formation in 6-azauracil
Etinski, M., & Marian, C. M. (2010) · Physical Chemistry Chemical Physics · doi:10.1039/c0cp00106f · Cited by 41
Self-citationSinglet oxygen generation in PUVA therapy studied using electronic structure calculations
Serrano-Pérez, J. J., González, G. O., Merchán, M., & Serrano‐Andrés, L. (2009) · Chemical Physics · doi:10.1016/j.chemphys.2009.04.014 · Cited by 29
Wouters, J., Durant, F., Champagne, B. R., & Andr�, J.-M. (1997) · International Journal of Quantum Chemistry · doi:10.1002/(sici)1097-461x(1997)64:6<737::aid-qua11>3.0.co;2-y · Cited by 18
Flocke, N. (1997) · International Journal of Quantum Chemistry · doi:10.1002/(sici)1097-461x(1997)61:5<747::aid-qua2>3.0.co;2-w · Cited by 5
Cited by
Room-temperature phosphorescence from organic aggregates
Zhao, W., He, Z., & Tang, B. Z. (2020) · Nature Reviews Materials · doi:10.1038/s41578-020-0223-z · Cited by 1,766
Samanta, P. K., Kim, D., Coropceanu, V., & Brédas, J.-L. (2017) · Journal of the American Chemical Society · doi:10.1021/jacs.6b12124 · Cited by 1,025
Chiral molecules and the electron spin
Naaman, R., Paltiel, Y., & Waldeck, D. H. (2019) · Nature Reviews Chemistry · doi:10.1038/s41570-019-0087-1 · Cited by 934
Photosensitizers with Aggregation‐Induced Emission: Materials and Biomedical Applications
Hu, F., Xu, S., & Liu, B. (2018) · Advanced Materials · doi:10.1002/adma.201801350 · Cited by 859
Theory and Calculation of the Phosphorescence Phenomenon
Baryshnikov, G., Minaev, B., & Ågren, H. (2017) · Chemical Reviews · doi:10.1021/acs.chemrev.7b00060 · Cited by 731
Metadata
- Authors
- Marian, C. M.
- Venue
- WIREs Computational Molecular Science
- Publisher
- Wiley
- Published
- 2011-07-22
- Volume
- 2
- Issue
- 2
- Pages
- 187-203
- ISSN
- 1759-0876 (ISSN-L)
- 1759-0884
- OpenAlex
- W2095747999
- Cited by
- 890
- References
- 75
- FWCI
- 9.21
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.