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Chapter 7: Problem 78

Comment on the correctness of the following statement: The probability of finding two electrons with the same four quantum numbers in an atom is zero.

Short Answer

Expert verified
Yes, the statement is correct. It is line with Pauli's Exclusion Principle, which verifies that it is impossible for two electrons in the same atom to possess identical quantum numbers.

Step by step solution

01

Understand the Pauli Exclusion Principle

Pauli Exclusion Principle states that no two electrons within a single atom can have the same set of quantum numbers. The principle essentially explains the rules governing the placement of electrons in atomic orbits and shells.
02

Apply Pauli's Exclusion Principle

Applying Pauli's Exclusion Principle to the given statement, it is clear that two electrons indeed cannot share the same four quantum numbers within an atom.
03

Comment on the Statement's Correctness

Considering the principles of Quantum Physics, the presented statement is correct. It is impossible to find two electrons with the same four quantum numbers in an atom due to Pauli's Exclusion Principle.

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Most popular questions from this chapter

The \(\mathrm{He}^{+}\) ion contains only one electron and is therefore a hydrogen-like ion. Calculate the wavelengths, in increasing order, of the first four transitions in the Balmer series of the \(\mathrm{He}^{+}\) ion. Compare these wavelengths with the same transitions in a \(\mathrm{H}\) atom. Comment on the differences. (The Rydberg constant for \(\mathrm{He}^{+}\) is \(\left.8.72 \times 10^{-18} \mathrm{~J} .\right)\)

(a) What is the wavelength (in nanometers) of light having a frequency of \(8.6 \times 10^{13} \mathrm{~Hz} ?\) (b) What is the frequency (in Hz) of light having a wavelength of \(566 \mathrm{nm} ?\)

Use the Aufbau principle to obtain the ground-state electron configuration of selenium.

What is the physical significance of the wave function?

List all the possible subshells and orbitals associated with the principal quantum number \(n\), if \(n=5\).
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