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- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/00%3A_IntroductionGroup theory provides the mathematical framework for applying the symmetry of a chemical structure to characterize its various physical states and properties. Therefore, this section of the course is ...Group theory provides the mathematical framework for applying the symmetry of a chemical structure to characterize its various physical states and properties. Therefore, this section of the course is divided into two subsections:
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/00%3A_Front_Matter
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/05%3A_Blochs_Theorem
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/00%3A_Front_Matter/01%3A_TitlePageChemical Group Theory Modules
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/03%3A_Space_GroupsSpace groups identify the possible ways to describe the rotational and translational symmetry of crystalline structures in real space. As we have seen, these aspects of 3-d crystalline symmetry are se...Space groups identify the possible ways to describe the rotational and translational symmetry of crystalline structures in real space. As we have seen, these aspects of 3-d crystalline symmetry are separately described by 32 crystallographic point groups and 14 Bravais lattices. For any space group, these two types of symmetry must be compatible with each other.
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/zz%3A_Back_Matter/10%3A_Index
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/07%3A_SummarySpace groups are the product of two sets: the set of Bravais lattice translations and the set of essential symmetry operations. If the set of essential symmetry operations is a group, then the space g...Space groups are the product of two sets: the set of Bravais lattice translations and the set of essential symmetry operations. If the set of essential symmetry operations is a group, then the space group is symmorphic; if not, the space group in nonsymmorphic, which means that it contains screw rotations or glide reflections as members of the essential set.
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/zz%3A_Back_Matter
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/02%3A_Rotational_SymmetryThe structural symmetry of every molecule is summarized by its point group, which is the set of all transformations with respect to a fixed point in space that keep the molecule invariant. Each operat...The structural symmetry of every molecule is summarized by its point group, which is the set of all transformations with respect to a fixed point in space that keep the molecule invariant. Each operation of a point group is either a proper or an improper rotation.
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)Chemical Group Theory examines fundamentals and applications of group theory and representation theory to chemical problems involving molecules and crystalline solids.
- https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Chemical_Group_Theory_(Miller)/zz%3A_Back_Matter/21%3A_Detailed_Licensing