D3h
Its extremum is on its axis of symmetry.
A 5 point star has 5 lines of symmetry.
A line but not a point.
Only if it is in the form of an isosceles trapezoid
yes
To assign a point group to a molecule, you first identify its symmetry elements such as rotation axes, mirror planes, and inversion centers. Then, use those elements to determine the point group using crystallographic tables or software. The resulting point group describes the overall symmetry of the molecule.
Point group D_n is a type of symmetry group in chemistry and crystallography. It has a 2-fold rotational axis with n total symmetry elements, including reflections and rotations. The "D" indicates that there are perpendicular C2 axes in the group.
bilateral symmetry
The Cs point group only has one symmetry plane. Cl2CH2 has two symmetry planes and one C2 axis. The mirror plane is perpendicular to the rotation axis, so this makes the point group C2h.
The octahedral point group is significant in crystallography because it represents a high degree of symmetry in crystals. Crystals with octahedral symmetry have eight-fold rotational symmetry, which affects their physical and chemical properties. This symmetry leads to unique optical, electrical, and mechanical properties in crystals, making them important in various scientific and industrial applications.
It is a line through the point of symmetry. In general it is not an axis of symmetry.
The letters S and N have point symmetry but not line symmetry.
A basketball has an infinite number of lines of symmetry. This is because a basketball is a perfect sphere, and any plane passing through its center will divide it into two equal halves that are symmetrical. Therefore, there are an infinite number of lines of symmetry that can be drawn on a basketball.
The point group of methane (CH₄) is Td, which stands for tetrahedral symmetry. This point group is characterized by having four equivalent hydrogen atoms symmetrically arranged around a central carbon atom, forming a tetrahedron. Methane has several symmetry elements, including four C₃ rotational axes, six C₂ axes, and multiple mirror planes (σ). This high degree of symmetry contributes to its stable molecular structure.
false
A circle exhibits both line symmetry and point symmetry. It has an infinite number of lines of symmetry that pass through its center, dividing it into two mirror-image halves. Additionally, any point on the circle can be reflected through its center to another point on the circle, demonstrating point symmetry. This means that every point on the circle is equidistant from the center, reinforcing both types of symmetry.
False