Sketch the way the orbitals overlap to form the bonds in each of the following: (a) \(\mathrm{CH}_{4},\) (b) \(\mathrm{NH}_{3}\), (c) \(\mathrm{H}_{2} \mathrm{O}\). (Assume the central atom uses hybrid orbitals.)

Short Answer

Expert verified
For methane (CH4), sketch a tetrahedral shape with sp3 hybrid orbital overlap. For ammonia (NH3), sketch a trigonal pyramidal shape with one vertex occupied by a lone pair. For water (H2O), sketch a bent shape indicating two sp3 hybrid orbitals bonding with hydrogen and two with lone pairs.

Step by step solution

01

Sketching the \text{CH}_4 Molecule

Carbon in CH4 uses sp3 hybridization. There are four equal energy sp3 hybrid orbitals forming a tetrahedral shape. Each of these orbitals overlaps with the 1s orbital of a hydrogen atom. Sketch a tetrahedron with carbon in the middle and an H atom at each of the four corners indicating single bonds between C and each H.
02

Sketching the \text{NH}_3 Molecule

Nitrogen in NH3 uses sp3 hybridization as well. Of the four sp3 orbitals, three are used for bonding with hydrogen atoms and one contains a lone pair of electrons. The shape is a trigonal pyramidal due to the repulsion between the lone pair and bond pairs. Sketch nitrogen with three hydrogen atoms at the corners of a trigonal base and the lone pair at the apex.
03

Sketching the \text{H}_2\text{O} Molecule

Oxygen in H2O also uses sp3 hybridization. Two of the sp3 orbitals overlap with hydrogen's 1s orbitals, and the other two hold lone pairs. The bent shape results from the repulsion between these lone pairs and the bond pairs. Sketch oxygen with two hydrogen atoms forming a bent shape, and two pairs of dots representing the lone pairs.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

sp3 Hybridization
When we talk about sp3 hybridization, we're referring to a specific process where an atom combines one s orbital and three p orbitals to form four equivalent hybrid orbitals. This happens in atoms that need to form four bonds, such as carbon in methane (CH4).

The sp3 hybrid orbitals are oriented in space to minimize repulsion and maximize the distance between them, which naturally results in a tetrahedral geometry. To visualize this, think of the central atom as the center of a kite shape, with each of the four sp3 hybrid orbitals pointing to a corner. Each orbital has an equal chance of overlapping with other orbitals, such as those of hydrogen atoms, to form stable bonds.
Molecular Geometry
Molecular geometry is all about the three-dimensional arrangement of atoms in a molecule. This arrangement heavily depends on the type of hybridization that occurs within the molecule. The geometric shapes could be linear, bent, trigonal planar, tetrahedral, and more. These shapes are crucial as they determine the molecule's polarity, phases of matter, color, magnetism, and biological activity.

It's like building blocks – the way you connect them determines the shape of the structure you're making. Similarly, the type of hybridization and the repulsions between electron pairs govern how atoms are 'connected' in a molecule.
Tetrahedral Molecular Shape
When we imagine a molecule with a tetrahedral geometry, we picture a central atom with four bonding pairs of electrons pointing to the corners of a pyramid with a square base – except there's no bottom. It's a solid shape with four flat faces, and the angle between each bond is approximately 109.5 degrees.

The classic example is methane (CH4), where the carbon atom is at the center, sp3 hybridized, and forms equal angle bonds with the four hydrogen atoms. These uniform angles contribute to the molecular symmetry and play a role in how the molecule interacts with its environment.
Trigonal Pyramidal Shape
A trigonal pyramidal shape originates from an sp3 hybridized atom as well, similar to tetrahedral, but with a crucial difference – one of the sp3 orbitals contains a lone pair of electrons. This lone pair-electron cloud repels more strongly than bonded pairs, thereby pushing the molecule into a pyramid-like structure with a triangular base.

For instance, ammonia (NH3) has three hydrogen atoms bonded to nitrogen and one lone pair on the nitrogen. This results in slightly lower bond angles than the tetrahedral, usually around 107 degrees, and gives the molecule a distinct polar characteristic.
Bonding and Lone Pairs
Bonding pairs of electrons are those shared between two atoms in a molecule, while lone pairs are non-bonding electrons that are found exclusively on one atom. These lone pairs occupy more space around the central atom compared to bonding pairs due to their higher repulsion, which affects the overall shape of the molecule.

Think of a crowded elevator with people standing close to each other – this is like bonding pairs. Now, imagine some people have large backpacks taking up extra space – these are like the lone pairs, forcing everyone to adjust their positions. This also helps explain why molecules such as water (H2O) have a bent shape, despite oxygen being sp3 hybridized.
Orbital Overlap
Orbital overlap refers to the sharing of space between two adjacent orbitals from different atoms. When orbitals overlap effectively, they form molecular bonds. The strength and type of the bond – single, double, or triple – depend on the orbitals’ orientations and their ability to overlap.

Imagine two soap bubbles coming together to share a common wall; this is the essence of orbital overlap, where the 'walls' represent the shared electron density between the atoms. For example, in methane, each hydrogen atom's 1s orbital overlaps with one of carbon's sp3 hybrid orbitals, resulting in four stable C-H single bonds.

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