What common symmetry of elements if any are found in the stable chair ...
Symmetry Elements in the Stable Chair Conformer of trans-1,2-Dichlorocyclohexane:
- The stable chair conformer of trans-1,2-dichlorocyclohexane has a C2 rotational axis but no mirror plane.
- This means that the molecule can be rotated by 180 degrees around an axis that passes through the center of the molecule and bisects the C-C bond between the two chlorines.
- However, there is no mirror plane that would result in the molecule being superimposable on its mirror image.
- This is because the two chlorine atoms are not symmetrically arranged with respect to the C-C bond, and therefore cannot be superimposed on their mirror images.
Explanation:
- The stable chair conformation of cyclohexane is one of the most stable conformations due to the minimized steric hindrance between the substituents.
- In the case of trans-1,2-dichlorocyclohexane, the two chlorine atoms are on opposite sides of the ring, and the molecule adopts the chair conformation to minimize the repulsion between them.
- The C2 rotational axis passes through the center of the molecule and bisects the C-C bond between the two chlorines.
- However, there is no mirror plane that can bisect the molecule and divide it into two identical halves.
- The chlorine atoms are not symmetrically arranged with respect to the C-C bond, and therefore the molecule cannot be superimposed on its mirror image.
- Therefore, the molecule has a C2 rotational axis but no mirror plane, making it chiral.
Conclusion:
- The stable chair conformer of trans-1,2-dichlorocyclohexane has a single C2 rotational axis but no mirror plane.
- This is due to the asymmetric arrangement of the two chlorine atoms with respect to the C-C bond in the molecule.
- The absence of a mirror plane makes the molecule chiral, meaning it exists as a pair of enantiomers that are non-superimposable mirror images of each other.
What common symmetry of elements if any are found in the stable chair ...
A single C2 rotational axis but no mirror plane.,,
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