Respuesta :
Answer:
A. No two electrons in an atom can have the same set of four quantum numbers.
Explanation:
State the Pauli exclusion principle.
A. No two electrons in an atom can have the same set of four quantum numbers. Electrons are characterized by 4 quantum numbers. According to Pauli exclusion principle, there cannot be 2 electrons having the same 4 quantum numbers.
B. Each electron goes into the lowest-energy orbital available. This is known as Aufbau principle.
C. An attraction between two electrons occurs due to vibrations in the crystal lattice. This is true but it does not correspond to Pauli principle.
D. The lowest-energy electron configuration of an atom has the maximum number of unpaired electrons, all of which have the same spin, in degenerate orbitals. This is known as Hund's rule of maximum multiplicity.
E. Electrons orbiting and protons within the nucleus of the atom have a balanced charge, excluding attraction to charged species. The difference between the number of electrons and protons leads to the charge of the species.
F. We cannot determine both the position and the momentum of an electron in an atom at the same time. This is known as Heisenberg uncertainty principle.
The Pauli exclusion principle has been part of the electron quantum mechanics. It states that no two electrons in an atom can occupy the same set of four quantum numbers. Thus option A is correct.
Quantum mechanics helps in providing the address to the electrons. Since the address has been provided to the electrons, it has been unique and can not be allocated to other electrons in an atom. This address has been in the form of a quantum number.
Thus, Pauli's exclusion principle states that no two electrons in an atom can occupy the same set of four quantum numbers. Thus option A is correct.
The other options are incorrect because:
- Option B states that each electron goes into the lowest-energy orbital available. This has been the statement for Aufbau's Principle. Thus option B is incorrect.
- Option C states that an attraction between two electrons occurs due to vibrations in the crystal lattice. The statement has been true, but it did not correspond to Pauli's exclusion principle. Thus option C is incorrect.
- Option D states that the lowest-energy electron configuration of an atom has the maximum number of unpaired electrons, all of which have the same spin, in degenerate orbitals. The statement has been Hund's rule of maximum multiplicity. It does not correspond to Pauli's principle. Thus option D is incorrect.
- Option E states that electrons orbiting and protons within the nucleus of the atom have a balanced charge, excluding attraction to charged species. The statement has been true for the neutral species but is incorrect for the charged species. The statement has no relation with Puli's principle. Thus option E is incorrect.
- Option F states that we cannot determine both the position and the momentum of an electron in an atom at the same time. The statement has been the part of the Heisenberg Uncertainty principle, and not Pauli's principle. Thus option F is incorrect.
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