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Ch.6 - Electronic Structure of Atoms
Chapter 6, Problem 11b

Four possible electron configurations for a nitrogen atom are shown below, but only one schematic represents the correct configuration for a nitrogen atom in its ground state. Which configurations violate the Pauli exclusion principle?

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Identify the electron configurations provided for the nitrogen atom. Nitrogen has 7 electrons in total.
Recall the Pauli Exclusion Principle, which states that no two electrons in an atom can have the same set of four quantum numbers. This means each orbital can hold a maximum of two electrons with opposite spins.
Examine each electron configuration to check if any orbital is shown to contain more than two electrons or if electrons in the same orbital have the same spin direction.
Identify configurations where orbitals violate the Pauli Exclusion Principle by either having more than two electrons or electrons with the same spin in one orbital.
Eliminate the configurations that do not adhere to the Pauli Exclusion Principle to find the correct ground state configuration for a nitrogen atom.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Electron Configuration

Electron configuration describes the distribution of electrons in an atom's orbitals. For nitrogen, which has seven electrons, the correct ground state configuration is 1s² 2s² 2p³. Understanding how electrons fill orbitals according to energy levels and sublevels is crucial for identifying valid configurations.
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Electron Configuration Example

Pauli Exclusion Principle

The Pauli exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers. This means that an orbital can hold a maximum of two electrons, which must have opposite spins. Recognizing violations of this principle helps in determining incorrect electron configurations.
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Hund's Rule

Hund's rule states that electrons will occupy degenerate orbitals singly before pairing up. This minimizes electron-electron repulsion and leads to a more stable arrangement. Understanding this rule is essential for correctly filling the p orbitals in nitrogen's electron configuration.
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Related Practice
Textbook Question

The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (c) What is the largest possible value of the magnetic quantum number, ml?

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Textbook Question

The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (d) The probability density goes to zero along which of the following planes: xy, xz, or yz?

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Textbook Question

Four possible electron configurations for a carbon atom are shown below, but only one schematic represents the correct configuration for a carbon atom in its ground state. Which one is the correct electron configuration?

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Textbook Question

State where in the periodic table these elements appear: (a) elements with the valence-shell electron configuration ns2np5 (b) elements that have three unpaired p electrons (c) an element whose valence electrons are 4s24p1 (d) the d-block elements [Section 6.9]

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Open Question
The wavenumber l is the number of waves that exist over a specified distance, very often 1 cm. The wavenumber can easily be calculated by taking the reciprocal of the wavelength. Give typical wavenumbers for (a) X-rays (λ = 1 nm) (b) visible light (λ = 500 nm) (c) microwaves (λ = 1 mm).
Open Question
Carbon dioxide in the atmosphere absorbs energy in the 4.0–4.5 mm range of the spectrum. (a) Calculate the frequency of the 4.0 mm radiation.