
Write the value of axial distance and axial angles of triclinic crystal.
Answer
486.6k+ views
Hint: To answer this question, you should recall the concept of a unit cell and various types of Bravais Lattice. Bravais Lattice refers to the 14 different 3-dimensional configurations into which atoms can be arranged in crystals. A triclinic crystal is the most uneven crystal with no symmetry between the dimensions.
Complete Step by step solution:
The unit cells are systematically arranged in such a way that fills the space without overlapping. A crystal lattice can be defined as the 3D arrangement of atoms, molecules or ions inside a crystal. Each unit of this crystal lattice is known as a unit cell. The most fundamental description of any unit cell is known as the Bravais lattice. Bravais lattice can refer to one of the 14 different types of unit cells that a crystal structure can be made up of.
There exists only one type of triclinic Bravais lattice, which is a primitive cell.
It obeys the following relationship. \[a{\text{ }} \ne {\text{ }}b{\text{ }} \ne {\text{ }}c\] and \[\alpha \ne \beta \ne \gamma \ne {90^o}\]
where \[a,{\text{ }}b{\text{ and }}c\] have been used to denote the dimensions of the unit cells whereas the letters \[\alpha ,\beta {\text{ and}}\,\gamma \] denote the corresponding angles in the unit cells.
Note: You should know that there are 3 types of Centered Unit Cells: Body Centered, Face Centered and End Centered. In case of the primitive cubic unit cell, the atoms are present only at the corners. In case of a BCC unit cell has atoms at each corner of the cube and an atom at the center of the structure. On the other hand, an FCC unit cell contains atoms at all the corners of the crystal lattice and the center of all the faces of the cube.
Complete Step by step solution:
The unit cells are systematically arranged in such a way that fills the space without overlapping. A crystal lattice can be defined as the 3D arrangement of atoms, molecules or ions inside a crystal. Each unit of this crystal lattice is known as a unit cell. The most fundamental description of any unit cell is known as the Bravais lattice. Bravais lattice can refer to one of the 14 different types of unit cells that a crystal structure can be made up of.
There exists only one type of triclinic Bravais lattice, which is a primitive cell.
It obeys the following relationship. \[a{\text{ }} \ne {\text{ }}b{\text{ }} \ne {\text{ }}c\] and \[\alpha \ne \beta \ne \gamma \ne {90^o}\]
where \[a,{\text{ }}b{\text{ and }}c\] have been used to denote the dimensions of the unit cells whereas the letters \[\alpha ,\beta {\text{ and}}\,\gamma \] denote the corresponding angles in the unit cells.
Note: You should know that there are 3 types of Centered Unit Cells: Body Centered, Face Centered and End Centered. In case of the primitive cubic unit cell, the atoms are present only at the corners. In case of a BCC unit cell has atoms at each corner of the cube and an atom at the center of the structure. On the other hand, an FCC unit cell contains atoms at all the corners of the crystal lattice and the center of all the faces of the cube.
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