Answer :
Final answer:
The absolute configurations of chiral carbons in a Fischer projection are assigned via the Cahn-Ingold-Prelog rule which ranks substituents on the carbon based on atomic number. Without the Fischer projection image, it is challenging to confirm the correctness of the given configurations. In a Fischer projection, horizontal lines represent bonds coming out of the plane, and vertical lines represent bonds going into the plane.
Explanation:
The assignment of absolute configurations to chiral centers in molecules is a fundamental aspect of organic chemistry. In the Fischer representation, we assign the configurations based on the Cahn-Ingold-Prelog rule. This rule states the following: At a chiral center, the substituents are ranked based on their atomic number, with larger atomic numbers receiving higher priority. If two atoms are the same, then the next group of atoms are compared, and so forth. Assuming that the lowest priority group (often a hydrogen atom) is oriented into the page (away from us), if the priority sequence of the other three groups decreases in a clockwise direction we have an R-configuration; if it decreases in a counterclockwise direction it's an S-configuration.
Regarding the configurations you provided (2S, 3S, 4S, 5R, etc.), without seeing the Fischer projection it's hard for me to confirm their correctness. In a Fischer projection, the horizontal lines represent bonds out of the plane (towards you) and the vertical lines represent bonds into the plane (away from you). Therefore, to assign absolute configurations, you would follow the Cahn-Ingold-Prelog, considering this orientation.
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