# Solutions

- Page ID
- 11076

**A B C D E F G H I J K L M N O P Q R S T U V W X Y Z**

**1. Using the alphabet, answer the following:**

**a) how many letters have a mirror plane? 26**

**b) how many letters have more than one mirror plane? 15**

**c) how many letters have a rotational axis? 17**

**d) which letter has the highest ordered rotational axis? I (assuming cylinder) or (O assuming circle)**

**e) which letters have an inversion center? H, I, N, O, S, X, Z**

**2. Determine all of the symmetry elements in each of the following:**

your left shoe | E | eclipsed ethane | E, C_{3}, 3C_{2},s_{h}, 3s_{v}, S_{3} |

Fe(CO)_{5 } | E, C_{3}, 3C_{2}, s_{h}, 3s_{v}, S_{3} | CHF_{3}_{ } | E, C_{3}, 3s_{v} |

CF_{2}H_{2}_{ } | E, C_{2}, 2s_{v} | CFH_{3}_{ } | E, C_{3}, 3s_{v} |

IBr_{4}^{+ } | E, C_{2}, 2s_{v} | COS | E, C_{inf}, inf s_{v} |

IBr_{4}^{- } | E, C_{4}, 4C_{2}, s_{h}, 4s_{v}, i, S_{4} | SO_{2 } | E, C_{2}, 2s_{v} |

HF | E, C_{inf}, inf s_{v} | F_{2 } | E, C_{inf}, inf C_{2}, s_{h}, inf s_{v}, i, S_{inf} |

BFCl_{2 } | E, C_{2}, 2s_{v} | BFClBr | E, s_{h} |

CoCl_{3}(OH_{2})^{-} | E, C_{3}, 3s_{v} | Cu(CN)_{3} | E, C_{3}, 3C_{2}, s_{h}, 3s_{v}, S_{3} |

**inf = infinity**

**3. Determine the point group for each of the following:***(point group flow chart)*

SF_{6 }Oh | eclipsed ethane D_{3}h |

CH_{4 }Td | CHF_{3 }C_{3}v |

CF_{2}H_{2 }C_{2}v | CFH_{3 }C_{3}v |

IBr_{4}^{+ }C_{2}v | COS C_{inf}v |

IBr_{4}^{- }D_{4}h | SO_{2 }C_{2}v |

HF C_{inf}v | F_{2 }D_{inf}h |

BFCl_{2 }C_{2}v | BFClBr C_{s} |

CoCl_{3}(OH_{2})^{-} C_{3}v | Cu(CN)_{3} (planar) D_{3}h |

Ni(CO)_{4 }Td | Fe(CO)_{5 }D_{3}h |

your left shoe C_{1} | a round doorknob C_{inf}v |

**inf = infinity**