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A Variational Calculation of Equilateral Triangle H-3 and Tetrahedron H-4

Guo Zhi-quan

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Abstract

With a variational method and a modified arrangmement channel quantum mechanics(MACQM) method,the energies of a equilateral triangle H-3 and a tetrahedron H-4 system are calculated.The result shows that as α=1.03 and R=1.74?a-0,the H-3 system has a minimal energy of(-1.581?61?a.u.;) as α=1.07 and R=1.60?a-0,the H-4 system has a minimal energy of-2.280?97?a.u..It shows that both structures could exist.

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What this paper is about

With a variational method and a modified arrangmement channel quantum mechanics(MACQM) method,the energies of a equilateral triangle H-3 and a tetrahedron H-4 system are calculated.The result shows that as α=1.03 and R=1.74?a-0,the H-3 system has a minimal energy of(-1.581?61?a.u.;) as α=1.07 and R=1.60?a-0,the H-4 system has a minimal energy of-2.280?97?a.u..It shows that both structures could exist.

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Available abstract

With a variational method and a modified arrangmement channel quantum mechanics(MACQM) method,the energies of a equilateral triangle H-3 and a tetrahedron H-4 system are calculated.The result shows that as α=1.03 and R=1.74?a-0,the H-3 system has a minimal energy of(-1.581?61?a.u.;) as α=1.07 and R=1.60?a-0,the H-4 system has a minimal energy of-2.280?97?a.u..It shows that both structures could exist.

Key concepts: Equilateral triangle, Tetrahedron, Energy (signal processing), Physics, Mathematics, Quantum mechanics, Combinatorics, Mathematical physics

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