Computing Lennard-Jones potentials for molecules

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Discussion Overview

The discussion revolves around the computation of Lennard-Jones potentials for molecules, specifically comparing methods using periodic boundaries versus implementing calculations on the 3D surface of a hypersphere. The scope includes theoretical considerations and computational challenges related to Hamiltonians.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about the differences in computing Lennard-Jones potentials using periodic boundaries versus a hyperspherical approach.
  • Another participant provides a definition of a hypersphere and suggests looking into older theoretical solid-state physics textbooks for relevant information.
  • A participant mentions having written code for Lennard-Jones potentials but encounters issues related to the Hamiltonian, proposing that a hyperspherical surface could eliminate boundary conditions.
  • One participant expresses skepticism about finding someone with relevant experience in the forum, noting that another member, Zz, has conducted Quantum Monte Carlo simulations but lacks specific details.
  • A participant acknowledges their limited experience with quantum calculations, indicating their background in physical chemistry modeling using Lennard-Jones potentials and statistical mechanics.

Areas of Agreement / Disagreement

Participants express varying levels of familiarity with the computational methods discussed, and there is no consensus on the effectiveness or implementation of the hyperspherical approach versus periodic boundaries.

Contextual Notes

Some discussions involve assumptions about the applicability of methods and the complexity of Hamiltonians, which remain unresolved. The mention of older textbooks suggests a reliance on historical context that may not be fully explored in the current discussion.

Who May Find This Useful

Researchers and students interested in computational chemistry, molecular modeling, and theoretical physics may find this discussion relevant.

quetzalcoatl9
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anyone here have knowledge on computing Lennard-Jones potentials for molecules using periodic boundaries versus doing it on the 3D surface of a hypersphere?
 
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1) hypersphere is a sphere in 4D space.
2) Solid state theoretician did a lot of band calculations in ancient times. I would recommentto look in old textbook by Harrison, or any book in theoretical Solid State Physics from 50-60ies.
 
yes, I am aware of the theory, and have written computer code to do it, but am having problems related to the Hamiltonian.

the surface of a hypersphere is 3D, which means that an alternative to periodic imaging under boundary conditions is to implement a particle system on the surface of a hypersphere, thereby getting rid of the boundaries.

anyone on here actually implemented something like this?
 
quetzal,

I doubt you'll find anyone here. The only person here I know who's done any serious computation is Zz - I believe he did some Quantum Monte Carlo simulation; for what system, I can't recall.

I've come across a few computations similar to what you are doing (except they were done for clusters) when I spent some time looking into clusters and nano-particles and MO-based calculations thereof...but know too little of such stuff to speak intelligently.
 
thx for the headsup Gokul, i haven't done much quantum calculation yet (but probably will soon), just pchem modeling of solutions using lennard-jones, stat mech, etc.
 

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