In a triclinic unit cell
In a triclinic unit cell Correct Answer α ≠ β ≠ γ
Concept:
Unit cell:
The entire lattice is uniquely determined by the six lattice parameters a, b, c, α, β, γ, where
- a, b, c are axial lengths
- α, β, γ are interfacial angles
Triclinic: Crystal in this system are referred to three axes of unequal lengths, that are inclined at
non-perpendicular angles relative to each other, i.e.
a ≠ b ≠ c
α ≠ β ≠ γ
Additional Information
The various crystal structures are mentioned in the table below with their parameter constraints,
|
Crystal System |
Axial Relationships |
Inter axial Angles |
|
Cubic |
a = b = c |
α = β = γ = 90° |
|
Hexagonal |
a = b ≠ c |
α = β = 90°, γ = 120° |
|
Tetragonal |
a = b ≠ c |
α = β = γ = 90° |
|
Rhombohedral (Trigonal) |
a = b = c |
α = β = γ ≠ 90° |
|
Orthorhombic |
α ≠ b ≠ c |
α = β = γ = 90° |
|
Monoclinic |
a ≠ b ≠ c |
α = γ = 90° ≠ β |
|
Triclinic |
a ≠ b ≠ c |
α ≠ β ≠ γ ≠ 90 |
