Calculating Transition Dipole Moments (TDM), TDM Distributions, and Order Parameter
Tutorial Created with Software Release: 2024-3
Topics: Organic Electronics
Methodology: Molecular Quantum Mechanics
Products Used: Jaguar , MS Maestro
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15 MB |
This tutorial is written for use with a 3-button mouse with a scroll wheel.
Words found in the Glossary of Terms are shown like this: Workspacethe 3D display area in the center of the main window, where molecular structures are displayed
Abstract:
This tutorial teaches how to compute the transition dipole moment for a series of molecules using time-dependent density functional theory (TDDFT) calculations. Additionally, we will learn to compute the distribution of angles formed by the transition dipole moments on a series of molecules relative to an absolute coordinate frame calculated for various systems.
Tutorial Content
1. Introduction to Transition Dipole Moments and the Effect on OLED Efficiency
The electrical and optical properties of molecular films are intrinsically governed by the orientation of their constituent molecules. Consequently, extensive research efforts have been devoted to comprehending and controlling molecular orientation in organic films, holding significance in the fields of organic electronics and photonics. Specifically, in organic light-emitting diodes (OLEDs), achieving the desired molecular orientation of the emitter within the emissive layer has posed a challenge in enhancing device efficiency. Well-established knowledge dictates that horizontally aligning the transition dipole moments (TDMs) of emitters embedded in emissive films results in a higher fraction of radiative power escaping from the OLED stack. This, in turn, leads to increased light outcoupling efficiency compared to isotropic counterparts.
In this tutorial, we will learn to calculate the orientation of transition dipole moments using time-dependent density functional theory (TDDFT) calculations both for a single molecule and for distributions in larger multi-component systems.
Specifically, in Section 3, we will perform a TDDFT quantum mechanics (QM) calculation to compute the transition dipole moment for an organometallic iridium (Ir) complex using the QM Multistage Workflow panel, then we will view the results using the Visualize Transition Dipole Moment panel.
Next, in Sections 4 and 5, we perform a transition dipole moment calculation for two different multi-component OLED films consisting of Ir complexes using the Optoelectronic Film Properties panel to perform the calculation and the Optoelectronic Film Properties Viewer panel to analyze the results.
This tutorial does not cover building the various organometallic Ir complexes. Background information on these topics may be useful for working through this tutorial. See the Introduction to Geometry Optimizations, Functionals and Basis Sets, Disordered System Building and Molecular Dynamics Multistage Workflows, Molecular Deposition, and the Organometallic Complexes tutorials for more information on building these systems.
2. Creating Projects and Importing Structures
At the start of the session, change the file path to your chosen Working Directorythe location where files are saved in MS Maestro to make file navigation easier. Each session in MS Maestro begins with a default Scratch Projecta temporary project in which work is not saved, closing a scratch project removes all current work and begins a new scratch project, which is not saved. A MS Maestro project stores all your data and has a .prj extension. A project may contain numerous entries corresponding to imported structures, as well as the output of modeling-related tasks. Once a project is saved, the project is automatically saved each time a change is made.
Structures can be built in MS Maestro and are added to the Entry Lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion and Project Tabledisplays the contents of a project and is also an interface for performing operations on selected entries, viewing properties, and organizing structures and data. The Entry Lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion is located to the left of the Workspacethe 3D display area in the center of the main window, where molecular structures are displayed. The Project Tabledisplays the contents of a project and is also an interface for performing operations on selected entries, viewing properties, and organizing structures and data can be accessed by Ctrl+T (Cmd+T) or Window > Project Table if you would like to see an expanded view of your project data.
- Double-click the Materials Science icon
- (No icon? See Starting Maestro)
- Go to File > Change Working Directory
- Find your directory, and click Choose
- Pre-generated input files are included for running jobs. Download the zip file here: schrodinger.com/sites/default/files/s3/release/current/Tutorials/zip/dipole_moment.zip
- After downloading the zip file, unzip the contents in your Working Directory for ease of access throughout the tutorial
- Go to File > Save Project As
-
Change the File name to dipole_moment_tutorial, click Save
-
The project is now named
dipole_moment_tutorial.prj
-
The project is now named
- Go to File > Import Structures
- Navigate to where you downloaded the provided tutorial files, choose
input_molecules.maegzand click Open
The imported entries are now available in the entry list. The entry group contains three entries: the first is a single iridium complex and the other two are multi-component systems.
3. Calculating the Transition Dipole Moment for a Single Molecule
In this section, we will perform a TDDFT calculation to compute the transition dipole moments for the lowest three excited states on an Ir complex at the B3LYP-D3/LACVP** level of theory. This structure was imported from a previous QM simulation in which a geometry optimization was performed for a more accurate representation of the molecule. However, note that a geometry optimization calculation is not necessary in order to calculate the transition dipole moment. Here, we study bis[2-pyridinato-C2,N](picolinato)iridium(III), an octahedral Ir-containing phosphor.
- With Ir_molecule includedthe entry is represented in the Workspace, the circle in the In column is blue in the workspacethe 3D display area in the center of the main window, where molecular structures are displayed and selected(1) the atoms are chosen in the Workspace. These atoms are referred to as "the selection" or "the atom selection". Workspace operations are performed on the selected atoms. (2) The entry is chosen in the Entry List (and Project Table) and the row for the entry is highlighted. Project operations are performed on all selected entries in the entry lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion, go to Tasks > Materials > Quantum Mechanics > Molecular Quantum Mechanics > QM Multistage Workflow
- The QM Multistage Workflow panel opens
- As an alternative, the Jaguar - Single Point Energy panel would suffice
- Ensure that Use structures from shows Project Table (1 selected entry)
- Change the basis set to LACVP**
- Of course, other functionals and basis sets are also appropriate. This level of theory will match the options when calculating the transition dipole moment for multi-component systems in the following sections.
- Go to the Theory Tab
-
Check the Excited state (TDDFT) box and change the drop-down menu to Tamm-Dancoff approximation
- The Tamm-Dancoff approximation (TDA) is favored to address the low orbital overlap and triplet instability problems in TDDFT, providing a better description of singlet and triplet excitations
-
Increase the Number of excited states to 3
- The default number is acceptable, but increasing to 3 will match the options when calculating the transition dipole moment for the multi-component systems in the subsequent sections
- Change the Job name to Ir_molecule_dipole
- Adjust the job settings (
) as needed
- This job requires a CPU host and can be completed in about 5 minutes on 4 processors
- Click Run
Once the calculation is complete, the molecule is automatically incorporated in the workspacethe 3D display area in the center of the main window, where molecular structures are displayed and is available in the entry lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion
- Includethe entry is represented in the Workspace, the circle in the In column is blue the output from the calculation in the workspacethe 3D display area in the center of the main window, where molecular structures are displayed
Now we can visualize the transition dipole moment
- Go to Tasks > Materials > Quantum Mechanics > Tools > Visualize Transition Dipole Moment
- The Visualize Transition Dipole Moment panel opens
- The results should automatically populate into the panel, but if not, click Browse and navigate to the
Ir_molecule.outfile
- Under Show, check all three boxes to visualize the transition dipole moment vector
Figure 3-6. Viewing the transition dipole moment rod (hydrogen atoms hidden for ease of visualization).
The transition dipole moments are shown as rods indicating the orientation of the transition dipole moment. The length of the rod is significant and indicates a stronger oscillator, but note that the location is simply centered on the molecule’s center of mass. The location of the rod does not imply where the excitation occurs in the molecule.
You can display the transition dipole moments for each of the transitions in a given molecule, and assign a color to distinguish them. In the Figure, the lowest energy transition dipole is shown in green.
- Close the Visualize Transition Dipole Moment panel
4. Calculating the Transition Dipole Moment for a Disordered Multi-Component System
In this section, we will perform a TDDFT calculation to compute the transition dipole moment on a disordered multi-component system. For a multi-component system, the TDM is calculated using the Optoelectronic Film Properties panel and visualized with the Optoelectronic Film Properties Viewer panel. This system was built using the Disordered System Builder panel, then equilibrated with the compressive relaxation protocol in the MD Multistage Workflow panel. See the Disordered System Building and Molecular Dynamics Multistage Workflows tutorial for more information.
- In the entry lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion includethe entry is represented in the Workspace, the circle in the In column is blue and select(1) the atoms are chosen in the Workspace. These atoms are referred to as "the selection" or "the atom selection". Workspace operations are performed on the selected atoms. (2) The entry is chosen in the Entry List (and Project Table) and the row for the entry is highlighted. Project operations are performed on all selected entries the disordered_Ir_system entry
This system is composed of three different molecules on top of a SiO2 layer. The components are color-coded for easier viewing. The green molecules are Ir(ppy)3 complexes and are the molecules of interest in this example. See the References section (“Solution-processed multilayer small-molecule light-emitting devices with high efficiency white-light emission”) for more information about this system
- Go to Tasks > Materials > Quantum Mechanics > Optoelectronic Film Properties > Optoelectronic Film Properties
- The Optoelectronic Film Properties panel opens
- Ensure that Use structures from shows Workspace (included entry)
- Check the Transition dipole moment order parameter option
- Change the Compute order parameter for these molecules to be the Ir complex, (Ir(ppy)3 ): C33H24IrN3 #:67
- There are 67 Ir(ppy)3 molecules in this system
- Change the Job name to tdm_disordered_Ir_system
- Adjust the job settings (
) as needed
- This job requires a CPU host and can be completed in about 10 minutes on 4 processors
- Click Run
Three different methods can be used to calculate the distribution of the transition dipole moments for the lowest state, whether that state is singlet or triplet is considered when calculating the TDM order parameter and plotting the distribution.
- The first method (the default method) will perform a single point TDDFT calculation on one of the molecules of interest. This molecule is selected at random, and then the transition dipole moment is computed for this molecule relative to the Z direction. This transition dipole moment is then rotated onto all other identical molecules and the angle relative to the Z-direction is calculated.
- The second method will perform a single point TDDFT calculation on every molecule of interest. Then the angle that the transition dipole moment makes relative to the Z-direction is calculated.
- The third method does not perform a TDDFT calculation. This method requires knowledge of the expected transition dipole moment and only calculates the transition moment as the vector between the two atoms selected in the workspace. Please refer to Section 3 to find the TDM vector, and from there the atoms of interest can be easily determined. The transition dipole moment is then rotated onto all other identical molecules.
The TDDFT calculation parameters can be altered by clicking the Jaguar Options button at the bottom of the panel. Options include altering the level of theory and adding implicit solvent.
For a complete description of the Optoelectronics Film Properties panel, please visit the help documentation.
When the job is complete, the results are automatically incorporated in the workspacethe 3D display area in the center of the main window, where molecular structures are displayed and are available in the entry lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion
- Select(1) the atoms are chosen in the Workspace. These atoms are referred to as "the selection" or "the atom selection". Workspace operations are performed on the selected atoms. (2) The entry is chosen in the Entry List (and Project Table) and the row for the entry is highlighted. Project operations are performed on all selected entries and includethe entry is represented in the Workspace, the circle in the In column is blue the output in the entry lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion and workspacethe 3D display area in the center of the main window, where molecular structures are displayed, respectively.
- Note that the structure will resemble the input structure, but now also contains the data from the Optoelectronic Film Properties calculation
- Use the WAM (workflow action menu) button (
) to open the Optoelectronic Film Properties Viewer
- Alternatively, access the panel via Tasks > Materials > Quantum Mechanics > Optoelectronic Film Properties > Optoelectronic Film Properties Viewer
- The Optoelectronic Film Properties Viewer panel opens
- If you opened the panel with the WAM button, the results should automatically populate into the viewer. If not click Load from Workspace and load
tdm_disordered_Ir_system.csv - Click Bins to change the number of bins shown
- We can include more bins in order to see the transition dipole moment angle distribution over a wider range (e.g. 0-180°)
- Click Define bin edges
- Start the bins at 0 with a Stepsize of 10 and 18 as the Number of bins
- This will span the bin size from 0-180° in 10° increments
- Click OK to close the panel
Figure 4-6. Viewing the transition dipole moment angle distribution of the lowest excited state (here, S1).
Out of the 67 iridium molecules, the plot shows the count of transition dipole moments at various angles
- Click Show in Workspace to view the transition dipole moment vectors
Note that the calculated transition dipole moment is for the lowest excited state, whether that state is singlet (S1, as for current case study) or triplet (T1) when calculating the TDM order parameter and plotting the distribution.
Keep the panel open and return to the workspace.
Since we calculated the transition dipole moment for the Ir complexes, let's hide the other two molecules (red and blue) for easier viewing of the vectors. We can undisplay molecules multiple ways, one way is described in the following steps.
- Click Define in the top menu
- Go to the Molecule tab
- Select Molecule type
- Select M2 - 241 and M3 - 241
- Click Add
- These molecules will now be in the ASL box below
- Click OK to close the panel
All the red and blue molecules are selected in the workspace
- Go to the Style palette in the toolbar
- Click the closed eye to Undisplay Selected Atoms
After hiding, only the Ir complexes (colored green) are shown. We can see the transition dipole moment vectors. They are represented by blue and green arrows. Feel free to zoom in on your structure for easier viewing.
The blue vectors represent a transition dipole moment between a 45-135° angle (which is ideal in this application) otherwise the arrow is green. We see vectors pointing in all directions due to the disordered nature of the system. Even though the system was equilibrated prior to this calculation, the disordered nature is expected given that the system was built using the disordered system builder tool.
- Close the Optoelectronics Film Properties panel
5. Calculating the Transition Dipole Moment for an Ordered Multi-Component System
In this section, we will perform a TDDFT calculation to compute the transition dipole moment on an ordered multi-component system. This system was built using the Molecular Deposition panel. Visit the Molecular Deposition tutorial for more information. Then, we will compare the TDM order parameter for the disordered system from Section 4 and this ordered system.
Following similar steps to Section 4, let’s calculate the transition dipole moment for an ordered system which was built using the Molecular Deposition panel. This system contains 26 Ir complexes on an SiO2 layer. Once again, we are interested in calculating the transition dipole moment for the Ir complexes.
- In the entry list, includethe entry is represented in the Workspace, the circle in the In column is blue and select(1) the atoms are chosen in the Workspace. These atoms are referred to as "the selection" or "the atom selection". Workspace operations are performed on the selected atoms. (2) The entry is chosen in the Entry List (and Project Table) and the row for the entry is highlighted. Project operations are performed on all selected entries the ordered_Ir_system entry
- See the References section for more information about this system
- Go to Tasks > Materials > Quantum Mechanics > Optoelectronic Film Properties > Optoelectronic Film Properties
- The Optoelectronic Film Properties panel opens
- Ensure that Use structures from shows Workspace (included entry)
- Change the Compute order parameter for these molecules to the Ir complexes: C27H223IrN2O2 #:26
- Change the Job name to tdm_ordered_Ir_system
- Adjust the job settings (
) as needed
- This job requires a CPU host and can be completed in about 10 minutes on 4 processors
- Click Run
When the job is complete, the results are automatically incorporated in the workspacethe 3D display area in the center of the main window, where molecular structures are displayed and are available in the entry lista simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion
- Select(1) the atoms are chosen in the Workspace. These atoms are referred to as "the selection" or "the atom selection". Workspace operations are performed on the selected atoms. (2) The entry is chosen in the Entry List (and Project Table) and the row for the entry is highlighted. Project operations are performed on all selected entries and includethe entry is represented in the Workspace, the circle in the In column is blue the output
- Note that the structure will resemble the input structure, but now also contains the data from the Optoelectronic Film Properties calculation
This time, let’s hide the host molecules and show only the Ir complexes before we plot the TDM vectors:
- Click Define in the top menu
- Go to the Molecule tab
- Select Molecular weight
- Enter 484.606
- Click Add
- There are many ways to select the Ir complexes using ASL, here we arbitrarily choose to define the complexes by molecular weight for easy identification
- Click OK to close the panel.
- Go to Style in the toolbar
- Click the closed eye to Undisplay Selected Atoms
Only the 27 Ir complexes remain visible on the SiO2 layer
- Use the WAM (workflow action menu) button (
) to open the Optoelectronic Film Properties Viewer
- Alternatively, access the panel via Tasks > Materials > Quantum Mechanics > Optoelectronic Film Properties > Optoelectronic Film Properties Viewer
- The Optoelectronic Film Properties Viewer panel opens
- If you opened the panel with the WAM button, the results should automatically populate into the viewer. If not click Load from Workspace and load
tdm_ordered_Ir_system.csv - Change the number of Bins so the plot displays the Transition Moment Angle from 0-180° in 10° increments
- Click Show in Workspace to view the transition dipole moment vectors
This structure was built in a more ordered fashion using the Molecular Deposition panel, compared to the structure in Section 4. We see that there are fewer transition dipole moment angles at very low and very high angles.
In this case, we see much more order in the transition dipole moment vectors. This agrees with expectation based on the transition dipole moment angle distribution plot.
- Close the Optoelectronic Film Properties Viewer panel
Lastly, we can view the TDM Order Parameter values in the Project Table.
- Open the Project Table
- In the Property Tree on the right, expand the All menu
- Expand the Material Science menu
- Expand the Primary drop down menu
- Add TDM Order Parameter from the Primary menu
- Scroll to the right in the table to see the TDP Order Parameter
Note that in addition to the TDM Order Parameter, properties are also printed for TDM S1 Order Parameter, TDM S2 Order Parameter, and TDM S3 Order Parameter.
The TDM order parameter is on a scale from -0.5 to +1. Where +1 represents perfect alignment along the director, either parallel or antiparallel. While -0.5 represents a perfect alignment perpendicular to the director. 0 represents a random orientation with respect to the director or isotropic orientation. Here, we see that the disordered system produces a value closer to 0 highlighting the randomness of the system.
6. Conclusion and References
This tutorial demonstrated how to compute the transition dipole moment parameter for a single molecule and a multi-component system using Jaguar and MS Maestro.
For further learning:
For introductory content, focused on navigating the Schrödinger Materials Science interface, an Introduction to Materials Science Maestro tutorial is available. Please visit the materials science training website for access to 70+ tutorials. For scientific inquiries or technical troubleshooting, submit a ticket to our Technical Support Scientists at help@schrodinger.com.
For self-paced, asynchronous, online courses in Materials Science modeling, including access to Schrödinger software, please visit the Schrödinger Online Learning portal on our website.
If you are interested in running Jaguar calculations from the command line, please visit the documentation for example files and guidance.
For some related practice, proceed to explore other relevant tutorials:
- Introduction to Geometry Optimizations, Functionals and Basis Sets
- Introduction to Multistage Quantum Mechanical Workflows
- Disordered System Building and Molecular Dynamics Multistage Workflows
- Molecular Deposition
- Organometallic Complexes
- Excited State Analysis
- Band Shape
- Kinetic Monte Carlo (KMC) Charge Mobility
- Optoelectronics
- Calculating Reaction Energetics for Molecular Systems
- Rigid and Relaxed Coordinate Scans
- Bond and Ligand Dissociation Energy
- Locating Transition States: Part 1
- Locating Transition States: Part 2
- Computing Atomic Charges
- Singlet Excitation Energy Transfer
For further reading:
- Help documentation on: Jaguar User Manual Results, QM Multistage Workflow, Visualize Transition Dipole Moment, Optoelectronic Film Properties , and Optoelectronic Film Properties Viewer
- Solution-processed multilayer small-molecule light-emitting devices with high efficiency white-light emission. DOI: 10.1038/ncomms6756.
7. Glossary of Terms
Entry List - a simplified view of the Project Table that allows you to perform basic operations such as selection and inclusion
Included - the entry is represented in the Workspace, the circle in the In column is blue
Project Table - displays the contents of a project and is also an interface for performing operations on selected entries, viewing properties, and organizing structures and data
Recent actions - This is a list of your recent actions, which you can use to reopen a panel, displayed below the Browse row. (Right-click to delete.)
Scratch Project - a temporary project in which work is not saved, closing a scratch project removes all current work and begins a new scratch project
Selected - (1) the atoms are chosen in the Workspace. These atoms are referred to as "the selection" or "the atom selection". Workspace operations are performed on the selected atoms. (2) The entry is chosen in the Entry List (and Project Table) and the row for the entry is highlighted. Project operations are performed on all selected entries
Working Directory - the location where files are saved
Workspace - the 3D display area in the center of the main window, where molecular structures are displayed