Energi Total Keadaan Eksitasi Atom Litium dengan Metode Variasi

Men, Liu; Setianto, Setianto

doi:10.24198/jiif.v1n1.2

Cited by 3 publications

(4 citation statements)

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“…Hasil-hasil ini selanjutnya dipergunakan sebagai basis untuk menggambarkan atom-atom dengan sejumlah elektron, khususnya berkaitan dengan energi total keadaan dasar dan energi total keadaan eksitasi [3]. Untuk energi total keadaan dasar, penentuan telah dilakukan pada atom Litium [4] dan atom Berilium [5]. Di sisi lain untuk energi total keadaan eksitasi, penentuan telah dilakukan pada atom Litium [6].…”

Section: Pendahuluanunclassified

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Energi Total Keadaan Dasar Atom Berilium dengan Teori Gangguan

Men

Setianto

Wibawa

2017

JIIF

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Abstrak. Atom Berilium adalah suatu atom yang mempunyai 4 buah elektron pada kulitnya. Pada keadaan dasar, dua elektron menduduki orbital 1s dan dua elektron lainnya menduduki orbital 2s. Fungsi gelombang total keadaan dasar ditentukan berdasarkan determinan Slater. Hamiltonian total merupakan gabungan dari Hamiltonian masingmasing elektron dan suku interaksi di antara keempat elektron bersangkutan. Dengan diperolehnya fungsi gelombang total dan Hamiltonian total, maka energi total keadaan dasar atom Berilium dapat ditentukan. Perhitungan dilakukan dengan teori gangguan dan diperoleh 0 = −363,75 . Kata kunci : Atom Berilium, keadaan dasar, teori gangguanAbstract. Beryllium atom is an atom that has four electrons in the shell. In the ground state, two electrons occupy the 1s orbital and two other electrons occupy the 2s orbital. The ground state total wave function is determined by the Slater determinant. The total Hamiltonian is a combination of each electron Hamiltonian and interaction term between the four electrons. By obtaining the total wave function and total Hamiltonian, then the ground state total energy of Beryllium atom can be determined. The calculation performed by perturbation theory and obtained 0 = −363,75 .Keywords : Beryllium atom, ground state, perturbation theory PendahuluanDalam teori kuantum atom Hidrogen yaitu suatu atom yang hanya mempunyai satu elektron pada kulitnya, melalui persamaan Schrodinger diperoleh fungsi-fungsi gelombang (orbital-orbital) elektron dan energi-energi yang bersangkutan [1,2]. Hasil-hasil ini selanjutnya dipergunakan sebagai basis untuk menggambarkan atom-atom dengan sejumlah elektron, khususnya berkaitan dengan energi total keadaan dasar dan energi total keadaan eksitasi [3]. Untuk energi total keadaan dasar, penentuan telah dilakukan pada atom Litium [4] dan atom Berilium [5]. Di sisi lain untuk energi total keadaan eksitasi, penentuan telah dilakukan pada atom Litium [6]. Semua penentuan ini dilakukan dengan metode variasi. Cara lain yang perhitungannya lebih sederhana adalah dengan teori gangguan. Untuk itu dalam kajian ini dilakukan perhitungan energi total keadaan dasar atom Berilium dengan teori gangguan.

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Section: Pendahuluanunclassified

“…Untuk energi total keadaan dasar, penentuan telah dilakukan pada atom Litium [4] dan atom Berilium [5]. Di sisi lain untuk energi total keadaan eksitasi, penentuan telah dilakukan pada atom Litium [6]. Semua penentuan ini dilakukan dengan metode variasi.…”

Section: Pendahuluanunclassified

Energi Total Keadaan Dasar Atom Berilium dengan Teori Gangguan

Men

Setianto

Wibawa

2017

JIIF

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“…Rather, its energy levels and wave functions were derived based on those of the Hydrogen atom. 3𝐿𝑖 2+ serves as an example of an atom possessing multiple electrons (Men & Setianto, 2017). Ion 3𝐿𝑖 2+ are particles that have a single electron and are formed because lithium metal loses 2 of its 3 valence electrons.…”

Section: Introductionmentioning

confidence: 99%

Probability of Electron Ion 3Li^(2+) In Momentum Space At n ≤ 3

Sani,

Wulandari,

Ulfah

et al. 2023

jppipa, pendidikan ipa, fisika, biologi, kimia

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Lithium ions (3) is a particle that has a single electron and is formed because lithium metal loses 2 of its 3 valence electrons. Probability is the square modulus of a wave function. Electron probability is a description of the discovery of electrons in space. This study aims to determine the probability value of electron momentum of Lithium ion (3). This type of research is non-experimental research in the form of developing existing theories with theoretical research methods. When viewed from the main orbital quantum value, the greater the probability value or the easier the electron is found at a larger quantum number. When viewed from the level of the probability interval, the greater the probability interval, the greater the main quantum value. In accordance with the theory which states that the large main quantum number n and orbital quantum l result in the probability value of Lithium ions getting bigger.

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“…Atoms are objects that cannot be divided or cut (Kholilurrohman et al, 2022). In quantum theory, the Hydrogen atom is an atom that has only one electron in its shell with the Schrodinger equation obtained electron wave function (orbital) and associated energy (Men and Setianto, 2017). Hydrogenic atoms are a class of atoms that have a single electron that moves around the nucleus.…”

Section: Introductionmentioning

confidence: 99%

Expected Value of Helium Ion Electron Momentum in Momentum Space with Primary Quantum Numbers n≤3

Supriadi,

Mardhiana,

Kristiawan

et al. 2023

jppipa, pendidikan ipa, fisika, biologi, kimia

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The aim is the expected value of helium ions to determine its properties as a heat transmitter to reactors and chirogenic science. This research is non-experimental research using quantum mechanics literature study methods because there are many previous studies that are relevant to this research. Data on the expected value of electron momentum in helium ions is determined based on numerical calculations using the Matlab 2015a program to simplify calculations using ion expectation calculations in momentum. The results obtained are that the electron momentum value in the helium ion can provide an overview of the average momentum value of the helium ion electrons in momentum space. This research data also shows that in momentum space the expected value of electron momentum decreases as the principal quantum number (n) increases. This can be seen when n=1,l =0 then 3p0 = 1.3146, and when n=3,l =0 then 3p0 = 0.5098.

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Energi Total Keadaan Eksitasi Atom Litium dengan Metode Variasi

Cited by 3 publications

References 0 publications

Energi Total Keadaan Dasar Atom Berilium dengan Teori Gangguan

Energi Total Keadaan Dasar Atom Berilium dengan Teori Gangguan

Probability of Electron Ion 3Li^(2+) In Momentum Space At n ≤ 3

Expected Value of Helium Ion Electron Momentum in Momentum Space with Primary Quantum Numbers n≤3

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