Ab initio methods molecular polarizability

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In summary, to compute molecular polarizability, one must use methods such as Hartree fock(SCF), moller plesset, configuration interaction, or coupled cluster to obtain wavefunctions and energy. However, it may be more convenient to rewrite the sum over states as a Green's function instead of computing the states and energies directly.
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jim54
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Just want to check that I have got understanding correct.

To compute molecular polarizability need to use method such as Hartree fock(SCF), moller plesset, configuration interaction, coupled cluster etc. to get the wavefunctions and energy then just use sum over states formula.
 
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jim54 said:
Just want to check that I have got understanding correct.

To compute molecular polarizability need to use method such as Hartree fock(SCF), moller plesset, configuration interaction, coupled cluster etc. to get the wavefunctions and energy then just use sum over states formula.

You actually don't have to compute states and energies and do a sum over states. Sometimes computing states is a bad way to go because there are too many. In this case it is often convenient to rewrite the sum over states as a Green's function which you can then compute by other means.
 
  • #3


Yes, your understanding is correct. Ab initio methods, such as Hartree-Fock, Moller-Plesset, configuration interaction, and coupled cluster, are commonly used to calculate the electronic wavefunctions and energy of a molecule. These methods can then be used to compute the molecular polarizability, which is a measure of how easily the electron cloud of a molecule can be distorted by an external electric field. The sum over states formula is a mathematical expression that takes into account all the possible energy levels and their corresponding contributions to the polarizability. Overall, ab initio methods are a powerful tool for studying the electronic and structural properties of molecules.
 

Related to Ab initio methods molecular polarizability

1. What are "Ab initio methods"?

"Ab initio" is a Latin term that means "from the beginning" or "from first principles". In science, it refers to a method of calculation or analysis that starts from the fundamental laws and principles of a system, rather than using experimental data or empirical models.

2. How are "Ab initio methods" used to calculate molecular polarizability?

"Ab initio methods" use quantum mechanical equations and principles to calculate the electronic structure of molecules, including the distribution of electrons and their response to an external electric field. This information can then be used to calculate the molecular polarizability, which describes how a molecule's electron cloud can be distorted by an external electric field.

3. What are the advantages of using "Ab initio methods" for calculating molecular polarizability?

One advantage is that "Ab initio methods" are based on fundamental laws and principles, so the results are highly accurate and can be used to make predictions about new molecules. They also do not rely on experimental data, so they can be used for molecules that have not yet been synthesized or measured in the lab.

4. Are there any limitations to using "Ab initio methods" for molecular polarizability calculations?

Yes, "Ab initio methods" can be computationally intensive and require a lot of resources, such as high-performance computers. They also may not be suitable for large molecules or systems with a high degree of complexity. In these cases, other methods such as semi-empirical or classical methods may be more efficient.

5. How are the results of "Ab initio methods" for molecular polarizability validated?

The results of "Ab initio methods" can be compared to experimental data, if available, to validate their accuracy. Additionally, different "Ab initio methods" can be compared to each other to assess their reliability and consistency. Theoretical analysis and calculations can also be used to check for any potential errors or limitations in the method being used.

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