Spectrum of kinetic energy of electrons of Helium ions in functions Radial Schrodinger waves on quantum numbers (n ≤ 3)

Dellya Natasha; Bambang Supriadi; Kevin Cahya Andilla Unwaru; Rery Irmawati; Friscela Yona Nagifea; Naziroh Faiqohtul Herlia; Tiara Angelita

doi:10.25273/jpfk.v10i1.19715

Spectrum of kinetic energy of electrons of Helium ions in functions Radial Schrodinger waves on quantum numbers (n ≤ 3)

Dellya Natasha, Bambang Supriadi, Kevin Cahya Andilla Unwaru, Rery Irmawati, Friscela Yona Nagifea, Naziroh Faiqohtul Herlia, Tiara Angelita

Abstract

The Schrodinger equation is an equation that describes the properties of a wave. The Schrodinger equation is solved using a variable separation method that produces a wave function. The wave function using the variable separation method is divided into 2 parts, namely the radial part and the angular part. The energy spectrum states the energy levels of electrons. Energy spectrum and wave function are related to each other. The energy level in the Schrodinger wave function in the form of kinetic energy is the energy for electrons to move from one point to another. The research aims to describe the kinetic energy spectrum of electrons in the radial wave function. The type of research used is basic research, namely the development of existing theories. The result obtained is a radial wave function with a certain quantum number n and an integrated Laplace constant that can produce electron kinetic energy, namely by integrating the wave function with each quantum number. The kinetic energy has its own value according to the quantum number. Kinetic energy in quantum numbers (n = 1,l = 0, Ek =171.18 eV ; n =2,l = 0, Ek =399.09 eV n =2,l = 1, Ek =152.16 eV n =3,l = 0, Ek =5096.81 eV n =3,l = 1, Ek =81142.43 eV n =3,l = 2, Ek =21.979 eV). The conclusion of this research is that the kinetic energy spectrum of electrons produces a directly proportional relationship to the quantum number n, where the greater the quantum number n, the greater the spectrum or kinetic energy level of the electron.

Keywords

wave function; spectrum;kinetic;electron

References

Boaz, Mary L. (2006). Mathematical methods in the physical sciences. Journal of Physics Education, 5(1), 59-65.

Damayanti, D. D., B, Supriadi ., L, Nuraini. (2019). Helium ion wave function on quantum numbers in momentum space n≤ 3. Proceedings of the National Seminar on Physics Education 2019, 4(5), 252–257.

Fuadah, F., S, H. B. Prastowo., L, Nuraini. (2018). Solution of the Schrodinger equation of deuterium atoms. Proceedings of the National Seminar on Physics Education 2018, 3(1), 142–147.

Hermanto, W. (2016). The wave function of the deuterium atom with the approximation of the Schrodinger equation. Proceedings of the National Seminar on Science Education 2016, 3(2), 794-802.

Karomah, S.A., A. R. Jannah, N. R. Aini, R. Zumarotin, Winuningsih, and N. Sunarmi. (2021). Visualization of the probability density of the electron's position with respect to angle on a deuterium atom. Newton-Maxwell Journal, 2(2), 36–44.

Klauder, J. R. (2020). The favored classical variables to promote to quantum operators. arXiv preprint arXiv:2006.13283.

Makmun, MS., B, Supriadi., T, Prihandono. (2020). Helium ion wave function in positional space representation using Schrodinger's equation. Journal of Physical Learning, 4(4), 152–159.

Ningrum, T. W., B, Supriadi., N, N. Mashitoh., L, Silvira., P, N, Anggraeni. (2023). The wave function of the tritium atom in the representation of momentum space using the Schrodinger equation on quantum numbers n≤ 3. Journal of Physics and Science Education (JPFK), 9(1), 23-30.

Nugraha, D. A. 2022. A kaleidoscope of light dualism as a form of self-appreciation of the verses of the universe. Journal of Eduphysics, 7(1), 89.

Nurroniah, Z., B, Supriadi., V, D. Cahyani., N, S. Ayu., K, Imaniyah. (2023). Radial wave function of helium ion in momentum space at N≤ 4. Journal of Physics and Science Education (JPFK), 9(1), 45-52.

Irfan, N., B, Supriadi., L, Nuraini. (2023). Heisenberg's uncertainty approach in determining the momentum and energy spectrum of deutrium atoms at the principal quantum number n= 4. Journal of Physics Learning, 12(3), 89-97.

Purwanto,A.(2016). Quantum Physics. Yogyakarta: Gava Media.

Preskill, J. 2022. Quantum Computing in the NISQ era and beyond. The Open Journal for Quantum Science, 2(1), 79. https://doi.org/10.22331/q-2018-08-06-79

R. Gautreau and W. Savin. (2006). Modern Physics. Jakarta : Erlangga.

Sunarmi, N. (2022). Analysis of the energy equation using the Nikiforov-Uvarov parametric method for single-electron atoms with hulthen potential. Journal of Physical Education and Science (JPFS), 5(2), 68–74.

Supriadi, B., A, Harijanto., M, Maulana, Z,R.Ridlo., W,D.Wisesa., A,Nurdiniaya. (2018). The function of the radial wave of a hydrogen atom in the principal quantum numbers (n) 4 and 5. ICCGANT, 12(11), 8.

Supriadi, B., Anggraeni, F., Faridah, N., &; Jannah, E. (2022). Supriadi, Bambang, et al. (2022). Quantum Physics. UPT Publishing, Jember University.

Supriadi, B., L, Nuraini. (2019). Atomic Physics Theory and Its Applications. UPT Publishing, University of Jember

Supriadi, B., Sari, N. R., Rahmawati, E., Mardhiana, H., &; Firdausyiah, W. (2023). The expected value of the electron momentum of the tritium atom in momentum space with the principal quantum number n≤ 3. Navigation Physics, 5(1), 60.

Supriadi, B., E, B. Utoyo., M, P. Febriyanti., A, Hasanah., A, S. Pratiwi. (2023). Lithium ion wave function (3Li2+) in a momentum chamber at n < 3. Journal of Social Research, 2(6), 2055-2064.

Sutarno., Erwin., M,S.Hayat. (2017). Blackbody radiation and the photoelectric effect as key concepts of the scientific revolution in the development of quantum theory of light. Multi Sciences Scientific Journal, Vol 9(2), 52.

Suto, K. (2023). Previously Unknown Formulas for the Relativistic Kinetic Energy of an Electron in a Hydrogen Atom. Journal of Applied Mathematics and Physics, 11, 972-987.

Syaifudin, M., Suparmi, S., &; Cari, C. (2015). Solving the schrã–dinger equation of noncentral potential, hyperbolic scarf plus trigonometric rosen-morse using the supersymmetry method of quantum mechanics. Spectra: Journal of Physics and Its Applications, 16(2), 20-24.

Yusrizal and Rahmati. (2022). Physicists &; Physical Sciences. Banda Aceh: Syiah Kuala University Press.