Convert the line-angle drawings into Fischer projections. (c)

Verified step by step guidance

1. Step 1: Identify the chiral centers in the line-angle drawing. These are the carbon atoms that are connected to four different groups.
2. Step 2: Draw a cross to represent the Fischer projection. The horizontal lines represent bonds that are coming out of the plane towards you (wedges), and the vertical lines represent bonds that are going into the plane away from you (dashes).
3. Step 3: Place the chiral centers on the vertical line of the Fischer projection. The top of the vertical line represents the highest numbered chiral center, and the bottom represents the lowest numbered chiral center.
4. Step 4: Assign the groups around each chiral center. The groups on the left and right of the chiral center in the line-angle drawing become the groups on the horizontal line of the Fischer projection. The group that is on a dashed line in the line-angle drawing becomes the group on the bottom of the vertical line in the Fischer projection, and the group on a wedged line becomes the group on the top of the vertical line.
5. Step 5: Repeat this process for each chiral center in the molecule. Remember that Fischer projections are used to represent molecules in 3D, so the orientation of the groups around each chiral center is important for determining the stereochemistry of the molecule.

Key Concepts

Line-Angle Drawings

Line-angle drawings, also known as skeletal structures, are a shorthand representation of organic molecules where vertices represent carbon atoms and lines represent bonds. This method simplifies the depiction of complex molecules by omitting hydrogen atoms attached to carbons, making it easier to visualize the molecular framework and connectivity.

Fischer Projections

Fischer projections are a two-dimensional representation of three-dimensional organic molecules, particularly useful for depicting stereochemistry. In this format, the vertical lines represent bonds that project behind the plane of the page, while horizontal lines represent bonds that project out towards the viewer, allowing for a clear representation of chiral centers and their configurations.

Stereochemistry

Stereochemistry is the study of the spatial arrangement of atoms in molecules and how this affects their chemical behavior. Understanding stereochemistry is crucial when converting between line-angle drawings and Fischer projections, as it ensures that the correct spatial orientation of substituents around chiral centers is maintained, which is vital for accurately representing the molecule's properties.