Exercise 3 1- What are the symmetry elements of the NH molecule whose four atoms occupy the corne...
Exercise 3 1- What are the symmetry elements of the NH molecule whose four atoms occupy the corners of a regular tetrahedron. Molecular geometry of NH 2- Make the stereographic projection of symmetry elements and equivalent positions generated by its operations 3- Give the elements of the corresponding point group. Specify its order and its international notation. 4- Establish the multiplication table of this group specify its rank. 5- Is the group Abelian? Describe all subgroups of this group. Afif Fouzri In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure. For an abelian group, each conjugacy class is a set containing one element (singleton set). Let G be a group. Two elements x and y of G are conjugate, if there exists an element z in G such that x-zyz. One says also that x is a conjugate of y and that y is a conjugate ofx What are the different conjugacy classes of this group? 6- A center of symmetry is added to the symmetry elements of this group. Make the new stereographic projection what is the order of this group and give its international notation.
Exercise 3 1- What are the symmetry elements of the NH molecule whose four atoms occupy the corners of a regular tetrahedron. Molecular geometry of NH 2- Make the stereographic projection of symmetry elements and equivalent positions generated by its operations 3- Give the elements of the corresponding point group. Specify its order and its international notation. 4- Establish the multiplication table of this group specify its rank. 5- Is the group Abelian? Describe all subgroups of this group. Afif Fouzri In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure. For an abelian group, each conjugacy class is a set containing one element (singleton set). Let G be a group. Two elements x and y of G are conjugate, if there exists an element z in G such that x-zyz. One says also that x is a conjugate of y and that y is a conjugate ofx What are the different conjugacy classes of this group? 6- A center of symmetry is added to the symmetry elements of this group. Make the new stereographic projection what is the order of this group and give its international notation.