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Q: End centered orthorhombic is bravais lattice but tetragonal is not.why?
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Why is end- centered tetragonal bravais lattice not possible?

An end-centered tetragonal Bravais lattice cannot exist because it would violate the constraints of translational symmetry required for a Bravais lattice. In a tetragonal lattice, the unit cell must have four sides of equal length and right angles, which cannot be maintained if an end-centered arrangement is introduced.


Is the side centered cube a bravais lattice?

No, the side-centered cube is not a Bravais lattice. Bravais lattices are categorized based on their symmetry properties, and the side-centered cube does not meet the criteria for Bravais lattice classification.


What is a Orthorhombic?

Orthorhombic is a term used in crystallography to describe a crystal system with three mutually perpendicular axes of different lengths. This system is characterized by having all angles between axes measuring 90 degrees, but the axis lengths can vary.


Why is there no face centered hexagonal lattice?

Simple reason - It violates the cubic symmetry. To see it from another perspective - Base centered cubic lattice is equivalent to a simple tetragonal lattice. Draw two unit cells adjacent to each other. Then connect the base center points to the corener points which are shared by these two unit cells. Then connect the two base centered point in each unit cell. Now you have a simple tetragonal lattice. Simple tetragonal lattice has one lattice point per unit cell compared to two lattice point per unit cell of base centered lattice. Always the lower lattice point lattice is considered for a given symmetry. Because of symmetry breaking, the symmetry of base centered cubic lattice is same as tetragonal lattice.


What is space lattice?

Space lattice is a three-dimensional geometric arrangement of the atoms or molecules or ions composing a crystal. Space lattice is also known as crystal lattice or Bravais lattice.


How many types of crystals present?

There are many types of crystals, with over 4,000 different mineral types known. These can be classified into categories based on their structure, composition, and properties. Some common types include quartz, diamond, and salt crystals.


Why Bravais lattices are 14 in number?

Bravais lattices are classified based on their lattice symmetries, leading to 14 possible combinations of translational and rotational symmetries. These 14 Bravais lattices represent all possible ways in which a lattice can be arranged in 3D space while maintaining translational periodicity. Each Bravais lattice has unique characteristics that define its geometric arrangement.


How do geologists classify crystal stracters?

Geologists classify crystal structures based on the arrangement of atoms within the crystal lattice, the symmetry of the crystal, and the types of bonds between atoms. Common crystal structures include cubic, tetragonal, orthorhombic, monoclinic, and triclinic structures.


How many bravais lattices exist?

There are 14 Bravais lattices in 3D space, which are categorized into 7 crystal systems based on the lattice parameters and symmetry. Each lattice type represents a unique way in which points can be arranged in space to form a crystal structure.


Whybcc tetragonal lattice does not exist?

A tetragonal lattice does exist in crystallography, characterized by two equal lattice parameters in the plane perpendicular to the principal axis. However, it is not as common as other crystal systems like cubic or hexagonal due to its symmetry properties. When tetragonal crystals do form, they often undergo phase transitions to more stable structures like cubic.


Why is the honey comb not a bravais lattice?

If you take a look at one segment of the honeycomb e.g. -<_>- you can see that lattice points at -o< and >o- segments do not have the same "neighbours". It is important to notice that both the arrangement and orientation have to be the same at any point in Bravais lattice. For more detail see Ashcroft - Solid State Physics (pg. 64).


What are bravais 14 unit cells?

Bravais 14 unit cells refers to the 14 possible lattice arrangements in three dimensions, based on the seven crystal systems and the presence or absence of centering within the unit cell. These 14 unit cells serve as the building blocks for crystal structures and help define the symmetry of a crystal lattice. Each unit cell has specific symmetry elements that dictate the overall arrangement of atoms or ions in a crystal lattice.