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# 7.11.9 Properties and Visualization

(December 20, 2021)

The calculation of excited, ionized and electron-attached states using the ADCman module yields by default the usual excitation energies, ionization potentials and electron-attachment energies together with the respective excitation amplitudes, as well as the transition dipole moments, oscillator strengths (or pole strengths in case of IP- and EA-ADC calulations), and the norm of the doubles part of the amplitudes (if applicable). In addition, the calculation of excited, ionized and electron-attached state properties, like dipole moments, and transition properties between these states can be requested by setting the \$rem variables ADC_PROP_ES and ADC_PROP_ES2ES, respectively.

Resonant two-photon absorption cross-sections of excited states can be computed as well, using either sum-over-states expressions or the matrix inversion technique. The calculation via sum-over-state expressions is automatically activated, if ADC_PROP_ES2ES is set. The accuracy of the results, however, strongly depends on the number of states which are included in the summation, i.e. the number of states computed. At least, 20-30 excited states (per irreducible representation) are required to yield useful results for the two-photon absorption cross-sections. Alternatively, the resonant two-photon absorption cross-sections can be calculated by setting ADC_PROP_TPA to TRUE. In this case, the computation of a large number of excited states is avoided and there is no dependence on the number of excited states. Instead, an additional linear matrix equation has to be solved for every excited state for which the two-photon absorption cross-section is computed. Thus, the obtained resonant two-photon absorption cross-sections are usually more reliable. The quantity printed out is the microscopic cross-section (also known as rotationally averaged 2PA strength). Specifically, the value $30\times\delta^{m}_{TP}$ is printed out where $\delta^{m}_{TP}$ is defined in Eq. (13) of Ref.  1235 Wormit M. et al.
Mol. Phys.
(2014), 112, pp. 774.
. The quantity printed out is the microscopic cross-section (also known as rotationally averaged 2PA strength). Specifically, the value $30\times\delta^{m}_{TP}$ is printed out where $\delta^{m}_{TP}$ is defined in Eq. (13) of Ref.  1235 Wormit M. et al.
Mol. Phys.
(2014), 112, pp. 774.
.

Furthermore, the ADCman module allows for the detailed analysis of the excited states and export of various types of excited state related orbitals and densities. This can be activated by setting the keyword STATE_ANALYSIS. Details on the available analyses and export options can be found in section 10.2.9.