Visualization of Orbitals (2)Probability Density Distribution in the Three DimensionalRepresentation of a Hydrogen 1s Orbital in a Glass Block

Tokita, Sumio

doi:10.2477/jccj.2015-0003

J. Comput. Chem. Jpn.

2015

DOI: 10.2477/jccj.2015-0003

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Visualization of Orbitals (2)Probability Density Distribution in the Three DimensionalRepresentation of a Hydrogen 1s Orbital in a Glass Block

Sumio Tokita

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Visualization of Orbitals (3) Probability Density Distributionin the Three Dimensional Representationof Hydrogen s Orbitals in a Glass Block

澄男¹

2015

J. Comput. Chem. Jpn.

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Probability density distribution in the 3-dimensional representation of hydrogen 1s, 2s, and 3s orbitals in a 5 x 5 x 8 cm 3 (Figure 4: top) or a 4 x 4 x 8 cm 3 glass block (Figure 4: bottom) was developed [4]. It was compared with 3-D isosurface models (Figure 3 (a-d)). Isosurface models can hardly show the entire region where an electron can be found. On the other hand, in the diagram of probability density distribution models, an electron is found everywhere around the nucleus. The density of the dots sculptured in the glass block shows the probability density of finding an electron, so the nodal plane is well described as spherical shell(s) where the dots cannot be found. In the diagram of probability density distribution model, we can compare the size of 1s orbital with that of 2s or 3s orbital from their distribution regions.

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Visualization of Orbitals (3) Probability Density Distributionin the Three Dimensional Representationof Hydrogen s Orbitals in a Glass Block

澄男¹

2015

J. Comput. Chem. Jpn.

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Visualization of Orbitals (9)–Hydrogen Atomic Orbital as a Standing Wave

澄男

2018

J. Comput. Chem. Jpn.

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J. Comput. Chem. Jpn., Vol. 17, No. 2, pp. A11-A14 (2018) ©2018 Society of Computer Chemistry, Japan [4] S. Tokita, Visualization of Orbitals (7) Visualization of Orbitals (9) -Hydrogen Atomic Orbital as a Standing WaveSumio TOkITA Saitama University (Emeritus), 255 Shimo-Ohkubo, Sakura-ku, Saitama, Saitama, 338-8570, JapanThe characteristic of the one-dimensional standing wave in a string is observed in the cross section of the twodimensional standing wave of a circular membrane. Vibrations of a circular membrane of a kettledrum are known to be simulated by the use of Bessel functions [5][6][7][8][9][10][11][12][13][14]. The cross section pattern of three-dimensional atomic orbitals obtained from the wave equation of a hydrogen atom is shown to have wave character by comparison with the dynamic standing wave of a two-dimensional circular membrane.

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Visualization of Orbitals (2)Probability Density Distribution in the Three DimensionalRepresentation of a Hydrogen 1s Orbital in a Glass Block

Cited by 2 publications

References 5 publications

Visualization of Orbitals (3) Probability Density Distributionin the Three Dimensional Representationof Hydrogen s Orbitals in a Glass Block

Visualization of Orbitals (3) Probability Density Distributionin the Three Dimensional Representationof Hydrogen s Orbitals in a Glass Block

Visualization of Orbitals (9)–Hydrogen Atomic Orbital as a Standing Wave

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