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Mathematical Skills in Chemistry

Shape, symmetry and three-dimensional structure: symmetry

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Overview

Recall questions on symmetry test for chirality.

What you need to know

Answer each one before you reveal it.

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Evaluation

Explain why an octahedral complex containing three identical bidentate ligands, such as [Ni(NH₂CH₂CH₂NH₂)₃]²⁺, shows optical isomerism.

Key term

How would you decide, from a three-dimensional drawing, whether two structures are the same compound or a pair of optical isomers?

Key term

Is 2-chloropropane chiral? Explain your reasoning.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Is 2-chloropropane chiral? Explain your reasoning.

    Model answer

    No. The second carbon is bonded to a hydrogen atom, a chlorine atom and two methyl groups. Two of the four substituents are identical, so there is no chiral centre and the molecule is superimposable on its mirror image.

  2. 2

    Explain why 3-methylhexane is chiral but 3-methylpentane is not.

    Model answer

    In 3-methylhexane the third carbon is bonded to a hydrogen atom, a methyl group, an ethyl group and a propyl group, all four different, so it is a chiral centre. In 3-methylpentane the third carbon carries a hydrogen atom, a methyl group and two ethyl groups; two substituents are the same, so the molecule is achiral.

  3. 3

    Which of the amino acids glycine, H₂NCH₂COOH, and alanine, CH₃CH(NH₂)COOH, is chiral, and why?

    Model answer

    Alanine is chiral, because its central carbon is bonded to a hydrogen atom, an amino group, a methyl group and a carboxyl group, four different groups. Glycine is not, because the corresponding carbon carries two hydrogen atoms.

  4. 4

    How many stereoisomers arise from a molecule containing two different chiral centres, and what is the general rule?

    Model answer

    Two different chiral centres give four stereoisomers, since each centre can adopt either arrangement independently. In general a molecule with n chiral centres, none of which duplicate one another, has 2ⁿ stereoisomers.

  5. 5

    Describe how a displayed formula, a skeletal formula and a three-dimensional drawing of the same molecule differ in what they show.

    Model answer

    A displayed formula shows every atom and every bond but implies nothing reliable about angles or three-dimensional arrangement. A skeletal formula shows the carbon framework as lines with carbon and hydrogen atoms understood, which makes large structures readable but hides individual hydrogen atoms. A three-dimensional drawing with wedges and dashed lines shows the spatial arrangement, which is essential when stereoisomerism is being discussed.

  6. 6

    Why can a molecule with a chiral centre not be represented adequately by a displayed formula alone?

    Model answer

    A displayed formula shows which atoms are joined to which, but two optical isomers have exactly the same connectivity. Only a three-dimensional representation, using wedges and dashed lines, distinguishes them, because the difference lies in the spatial arrangement around the chiral carbon.

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