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QuantumChemistry

  

TransitionDipolePlot

  

plot the transition dipole moment of a ground-to-excited-state transition

  

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

TransitionDipolePlot(molecule, method, state, options)

Parameters

molecule

-

list of lists; each list has 4 elements, the string of an atom's symbol and atom's x, y, and z coordinates

method

-

(optional)  method = name/procedure where name is one of 'HartreeFock' (default), 'DensityFunctional'

state

-

(optional)  state = integer where the integer specifies the excited state (default = 1)  

options

-

(optional) equation(s) of the form option = value where option is any valid option of the chosen method

Description

• 

TransitionDipolePlot plots the electronic transition dipole moment of a ground-to-excited-state transition.

• 

The index of the excited state can be set with the optional keyword state, i.e. state = 1 (default) sets the first excited state where the excited states are ordered from lowest to highest in energy.  

• 

Methods, set by the method keyword, include 'HartreeFock' (default) and 'DensityFunctional'.

• 

The number n of excited states in the calculation is determined by the optional keyword nstates.  If nstates = n, then n singlet and n triplet states are computed.  If nstates=[n,m], then n singlet and m triplet states are computed.  By default, nstates = 6.  

• 

When the HartreeFock method is selected, transition dipole moments can be computed by either the time-dependent Hartree-Fock (TDHF) or the configuration interaction singles (CIS) method.  By default TDHF is performed.  TDHF and CIS can be directly selected by setting the optional keyword excited_states to the string "TDHF" or "CIS".   

• 

When the DensityFunctional method is selected, transition dipole moments can be computed by either the time-dependent density functional theory (TDDFT) or the Tamm-Dancoff approximation (TDA) method.  By default TDDFT is performed.  TDDFT and TDA can be directly selected by setting the optional keyword excited_states to the string "TDDFT" or "TDA".       

• 

The result depends upon the chosen molecule, method, and basis set among other options such as charge, spin, and symmetry.  The ground-state molecule must be in a singlet state, that is spin = 0.

• 

The command only works with methods that return excitation energies.

• 

Because the methods employ Maple remember tables, the procedure only computes the transition dipole moment if it has not been previously computed by calling the method directly or indirectly through another property.

• 

The options include the options available for both PlotMolecule and the selected method.

• 

The keyword viewpoint generates a molecular fly-through animation.  It can be set to one of the following strings "flythrough", "flythrough2", "flythrough3", "flythrough4", "circleleft", and "circleright".  It can also be set to a custom fly-through animation as described on the help page for viewpoint.

Examples

withQuantumChemistry:

Let us plot the transition dipole moments of the uracil molecule computed with the Hartree-Fock (TDHF) method  

First, we define the molecule's geometry with the MolecularGeometry command

molecule  MolecularGeometryuracil;

moleculeO,2.32640000,0.96510000,0.00010000,O,−2.29720000,1.02320000,0.00050000,N,0.01800000,1.01990000,−0.00020000,N,1.16370000,−1.02210000,0.00010000,C,1.25240000,0.36290000,0,C,−1.23150000,0.41410000,−0.00040000,C,−0.02680000,−1.69550000,0.00020000,C,−1.20490000,−1.06760000,−0.00020000,H,0.03820000,2.03570000,−0.00010000,H,2.01870000,−1.57020000,0.00040000,H,−2.14430000,−1.60630000,−0.00020000,H,0.04690000,−2.77610000,0.00040000

(1)

Second, we plot uracil with the PlotMolecule command

PlotMoleculemolecule;

Finally, we plot the transition dipole moment of the ground and first-excited state

TransitionDipolePlotmolecule,state=1;

By left clicking on the plot, styles can be customized, and the plot can be exported to a range of image files including PNG and EPS.

Generate a fly-through animation of the molecule and its transition dipole moment of the ground and first-excited state

TransitionDipolePlotmolecule,state=1, viewpoint=flythrough3;

See Also

ExcitationSpectra
ExcitationSpectraPlot
OscillatorStrengths
ExcitedStateEnergies
Energy
HartreeFock
DensityFunctional