Write orbital diagrams (boxes with arrows in them) to represent the electron configurations of carbon before and after sp hybridization.

Name: Chemistry: A Molecular Approach
Author: Tro
ISBN: 9780134112831

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Start by writing the ground state electron configuration of carbon. Carbon has an atomic number of 6, so its electron configuration is \(1s^2 2s^2 2p^2\).

Draw the orbital diagram for the ground state of carbon. Represent each orbital as a box and each electron as an arrow. For carbon, you will have: two arrows in the 1s box, two arrows in the 2s box, and two arrows in the 2p boxes (with one arrow in each of two 2p boxes, following Hund's rule).

Understand that in sp hybridization, one electron from the 2s orbital is promoted to the empty 2p orbital. This results in the configuration \(1s^2 2s^1 2p^3\) before hybridization.

Draw the orbital diagram for carbon after the electron promotion but before hybridization. You will have: two arrows in the 1s box, one arrow in the 2s box, and three arrows in the 2p boxes (one arrow in each of the three 2p boxes).

Finally, illustrate the sp hybridization by combining one 2s orbital and one 2p orbital to form two equivalent sp hybrid orbitals. Each sp orbital will have one electron, and the remaining two 2p orbitals will each have one electron. Draw the orbital diagram showing two sp boxes with one arrow each and two 2p boxes with one arrow each.

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 carbon, which has six electrons, the ground state configuration is 1s² 2s² 2p². This notation indicates that two electrons occupy the 1s orbital, two occupy the 2s orbital, and two occupy the 2p orbitals, which is essential for understanding how electrons are arranged before hybridization.

Hybridization

Hybridization is the process by which atomic orbitals mix to form new hybrid orbitals, which can accommodate bonding. In the case of carbon, sp hybridization occurs when one s orbital and one p orbital combine to form two equivalent sp hybrid orbitals. This allows carbon to form four equivalent bonds, as seen in molecules like methane (CH₄), enhancing its bonding capabilities.

Orbital Diagrams

Orbital diagrams visually represent the arrangement of electrons in an atom's orbitals using boxes and arrows. Each box represents an orbital, and arrows indicate the presence of electrons, with their direction denoting spin. These diagrams are crucial for illustrating the electron configurations of carbon before and after hybridization, helping to visualize how the electron distribution changes.

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