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Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
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The periodic table arranges atoms based on increasing atomic number so that elements with the same chemical properties recur periodically. When their electron configurations are added to the table, a periodic recurrence of similar electron configurations in the outer shells of these elements is observed. Because they are in the outer shells of an atom, valence electrons play the most important role in chemical reactions. The outer electrons have the highest energy of the electrons in an atom...
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As early chemists discovered more elements, they realized that various elements could be grouped by their similar chemical behaviors. One such grouping includes lithium (Li), sodium (Na), and potassium (K). All of these elements are shiny, conduct heat and electricity well, and have similar chemical properties. A second grouping includes calcium (Ca), strontium (Sr), and barium (Ba), which also are shiny, good conductors of heat and electricity, and have chemical properties in common. However,...
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Cluster-in-Molecule Local Correlation Approach for Periodic Systems.

Yuqi Wang1, Zhigang Ni1, Wei Li1

  • 1School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry , Nanjing University , Nanjing 210023 , People's Republic of China.

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A new cluster-in-molecule (CIM) method makes complex electron-correlation calculations for crystals computationally feasible. This approach uses finite-sized clusters to accurately determine crystal correlation energies.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Quantum Mechanics

Background:

  • Accurate electron-correlation calculations are crucial for understanding crystal properties.
  • Traditional methods for periodic systems are computationally expensive.
  • Developing efficient methods for crystal electronic structure is an ongoing challenge.

Purpose of the Study:

  • To introduce and validate the cluster-in-molecule (CIM) local correlation approach.
  • To enable computationally tractable electron-correlation calculations for periodic systems.
  • To demonstrate the accuracy of CIM for various crystal types.

Main Methods:

  • Developed the cluster-in-molecule (CIM) local correlation approach for periodic systems.
  • Defined clusters using localized Wannier functions and projected atomic orbitals from periodic Hartree-Fock.
  • Performed electron-correlation calculations on clusters using second-order Møller-Plesset perturbation theory (MP2) and coupled cluster singles and doubles (CCSD).

Main Results:

  • Illustrative calculations were performed on neon, carbon monoxide, ammonia, ionic liquid crystals, and diamond.
  • The CIM approach was applied at both MP2 and CCSD levels of theory.
  • Results demonstrated the computational tractability and accuracy of the CIM method.

Conclusions:

  • The cluster-in-molecule (CIM) approach provides a powerful framework for accurate electron-correlation calculations of crystals.
  • CIM significantly reduces the computational cost associated with periodic system calculations.
  • This method opens new avenues for studying the electronic properties of diverse crystalline materials.