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README.md

huckel

As stated in the wikipedia[0], The Hückel method or Hückel molecular orbital method (HMO), proposed by Erich Hückel in 1930, is a very simple linear combination of atomic orbitals molecular orbitals (LCAO MO) method for the determination of energies of molecular orbitals of pi electrons in conjugated hydrocarbon systems, such as ethene, benzene and butadiene. It is the theoretical basis for the Hückel's rule. The extended Hückel method developed by Roald Hoffmann is computational and three-dimensional and was used to test the Woodward–Hoffmann rules. It was later extended to conjugated molecules such as pyridine, pyrrole and furan that contain atoms other than carbon, known in this context as heteroatoms.

Even if the tight-binding approach represents a crude approximation of a chemical system, it can be very useful in order to sketch out some general tendencies, and to elucidate the behavior of different classes of compounds. This is particularly true since its extremely reduced computational cost allows the treatment of very large systems. It is possible, therefore, to have an insight into the behavior of the studied system in the limit of a large number of atoms, that is usually impossible at the ab initio level[1].

This is a python program that takes your MOLPRO output file, and from the Cartesian coordinates, it forms a Huckel hamiltonian matrix to then give you the eigenvalues to be plotted against the normalized eigenvalues ordinal numbers as showed in [1]. It is also possible to delete desired Carbon atoms by indicanting their respective numbers in the structure.

I'll be working in a generalization of the problem treated. More information soon.

  1. https://en.wikipedia.org/wiki/H%C3%BCckel_method
  2. M. El Khatib, S. Evangelisti, T. Leininger, and G. L. Bendazzoli, Phys. Chem. Chem. Phys., 2012, 14, 15666–76.

Requirements

In order to run this script, you need to install in your system:

  • Python.
  • NumPy.
  • SciPy.

You can use pip to install them or the package manager of your favorite Linux distribution or Mac OS X.

How to use it

Clone this repository:

$ git clone https://github.com/muammar/huckel.git

Then you excute the program as follows:

$ python $PATH/huckel/huckel.py $input

Where $input is the name of your MOLPRO output file. The program will ask you if your molecule has the same internuclear distances, and to enter such value. In the case that your carbon structure has different values, the program will ask you for the interval of such distances. You can take a look at the examples/ directory to more information regarding this.

Finally, a huckel.dat file will be created at the end of the execution that you can plot using your favorite plotting software.

Feedback?

You can send to me suggestions, and improvements. They are very welcome.

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A program to calculate electronic spectrum at tight binding level

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