Wave function models
- Kramers restricted Hartree-Fock or Kohn-Sham determinant for closed-shell singlets
 
Documentation on the molecular calculation of excitation energies and UV/Vis electronic absorption spectra (EAS) using relativistic real-time quantum electron dynamics. The methodology combines the real-time time-dependent density functional theory (RT-TDDFT) with the 1C, (e)amfX2C or 4C Hamiltonian and can be applied in the current version of ReSpect to closed-shell molecular systems.
Wave function models
Hamiltonians
DFT non-collinear functionals
Nuclear charge distribution models
Integral evaluation techniques
Equation-of-motion solvers
External electric field models
Additional features
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
                M. Repisky, L. Konecny, M. Kadek, S. Komorovsky, O. L. Malkin, V. G. Malkin, and K. Ruud
                
Excitation energies from real-time propagation of the four-component Dirac-Kohn-Sham equation
                J. Chem. Theory Comput. 11, 980–991 (2015)
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
          
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
                L. Konecny, M. Kadek, S. Komorovsky, O. L. Malkina, K. Ruud, and M. Repisky
                
Acceleration of relativistic electron dynamics by means of X2C transformation: application to the calculation of nonlinear optical properties
                J. Chem. Theory Comput. 12, 5823–5833 (2016)
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
          
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
          
             
                M. Kadek, L. Konecny, and M. Repisky
                
Relativistic Real-Time Methods
                In: Yanez, Manuel and Boyd, Russell J. (eds.) Comprehensive Computational Chemistry, Vol. 3, Elsevier , 200–228 (2024)
             
          
             
          
             
          
             
          
             
          
             
          
             
          
          
         M. Repisky, S. Komorovsky, M. Kadek, L. Konecny, U. Ekstrom, E. Malkin,
         
         M. Kaupp, K. Ruud, O. L. Malkina, and V. G. Malkin
         
         ReSpect: Relativistic spectroscopy DFT program package
         
         J. Chem. Phys. 152, 184101 (2020)
      
         M. Repisky, S. Komorovsky, L. Konecny, M. Kadek, T. Moitra, M. Joosten, D. Misenkova, R. Vikhamar-Sandberg,
         
         M. Kaupp, K. Ruud, O. L. Malkina, and V. G. Malkin
         
         X2C Hamiltonian Models in ReSpect: Bridging Accuracy and Efficiency
         
         J. Phys. Chem. A 129, 7980 (2025)
      
         Additional contributions from
         
         R. Bast (AutoCMake),
         R. Di Remigio (PCMSolver),
         I. Malkin-Ondik (DKH2), and S. Knecht (MPI parallelization)