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Quantum Numbers02:43

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Thermodynamic systems undergoing phase transitions or temperature changes experience energy transfer in the form of heat (q) and work (w). For a reversible phase change at constant temperature (T) and pressure (p), the process involves no chemical reaction but results in energy exchange between distinct phases.The heat transferred during this process corresponds to the latent heat of transition, which is the amount of heat energy absorbed or released by a substance when it changes from one...
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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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Accurate Quantum Chemistry in Single Precision Arithmetic: Correlation Energy.

Victor P Vysotskiy1, Lorenz S Cederbaum1

  • 1Theoretical Chemistry, Institute of Physical Chemistry at Heidelberg University, Im Neuenheimer Feld 229, 69120 Heidelberg, Germany.

Journal of Chemical Theory and Computation
|November 25, 2015
PubMed
Summary
This summary is machine-generated.

Single precision arithmetic is feasible for quantum chemistry calculations, significantly reducing computational demands. This approach yields accurate electron correlation energy with negligible error, enabling faster computations.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • High-performance computing

Background:

  • Accurate computation of electron correlation energy is crucial in quantum chemistry.
  • High precision arithmetic demands significant computational resources (memory and processing power).
  • Exploring lower precision arithmetic can lead to performance gains.

Purpose of the Study:

  • To demonstrate the feasibility of using single precision arithmetic in quantum chemistry.
  • To assess the impact of single precision on the computation of electron correlation energy.
  • To evaluate the potential performance benefits and memory reduction.

Main Methods:

  • Utilizing single precision arithmetic for evaluating molecular two-electron integrals.
  • Employing the Cholesky decomposition method for integral evaluation.
  • Testing the approach on the MP2 (Møller–Plesset perturbation theory) method.

Main Results:

  • Single precision arithmetic is sufficient for evaluating molecular two-electron integrals.
  • The error introduced in MP2 correlation energy is negligible (10(-7)Eh for a large molecule).
  • Achieved a 50% performance gain and 50% reduction in memory demands.

Conclusions:

  • Single precision offers a viable and efficient approach for correlated quantum chemistry.
  • Minor code modifications can unlock significant computational advantages.
  • Opens possibilities for accurate quantum chemistry on specialized hardware.