Crystallography and Crystal Systems

(001)

8F

5 axes, 5 planes, and a center.

<p>(hk0)</p> Signup and view all the answers

<p>The center must have unequal edges (a ≠ b ≠ c) and unequal angles (α ≠ β ≠ δ ≠ 90).</p> Signup and view all the answers

<p>Basal pinacoid, side pinacoid, and front pinacoid.</p> Signup and view all the answers

<p>(hk0)</p> Signup and view all the answers

<p>(001)</p> Signup and view all the answers

<p>Hemi a-dome is (0kL) and hemi b-dome is (h0L).</p> Signup and view all the answers

<p>In the tetragonal system, crystalographic elements are defined as (a = b ≠ c) and (α = β = δ = 90).</p> Signup and view all the answers

<p>The forms associated with the monoclinic system include basal pinacoid (001), side pinacoid (010), and front pinacoid (100).</p> Signup and view all the answers

<p>The triclinic system has no axes of symmetry or planes of symmetry.</p> Signup and view all the answers

<p>The first order tetragonal prism is denoted as (hh0) and the second order as (h00).</p> Signup and view all the answers

<p>A ditetragonal bipyramid has 16 forms and is denoted as (hkL).</p> Signup and view all the answers

<p>There are 3 axes in the orthorhombic system.</p> Signup and view all the answers

<p>The angles are all equal to 90 degrees: $\alpha = \beta = \delta = 90$.</p> Signup and view all the answers

<p>There are 3 mirror planes in the orthorhombic system.</p> Signup and view all the answers

<p>The lengths of the axes are unequal: $a \neq b \neq c$.</p> Signup and view all the answers

<p>The center is positively defined, indicating a symmetric point in the crystal.</p> Signup and view all the answers

A crystal system with three unequal axes (a, b, c) and all angles equal to 90 degrees.

Imaginary lines through the crystal about which a rotation results in an identical position.

Imaginary planes that divide a crystal into mirror-image halves.

The lines and planes of symmetry in a crystal.

The orthorhombic cell has 3 perpendicular axis along a,b,and c.

A crystal face with Miller indices (001)

A crystal face with Miller indices (hk0).

Describes a crystallographic plane. Indicating a dome-shaped crystal face.

A crystal face with Miller indices (hkL).

A crystal system with 5 symmetry axes.

Tetragonal crystal systems have four-fold rotational symmetry and include forms like basal pinacoid, tetragonal prism (first and second order), ditetragonal prism, and tetragonal bipyramids (first and second order) and ditetragonal bipyramid.

Monoclinic systems have one plane of symmetry and include forms like basal pinacoid, side pinacoid, front pinacoid, hemi b-dome, monoclinic prism, and hemi-bipyramid.

The Triclinic system lacks any rotation axes or mirror planes; only a center of symmetry remains.

These describe the relationship between the lengths of the crystal axes (a, b, and c) and the angles between them (α, β, and γ) in the tetragonal system.

These describe the relationship between the lengths of the crystal axes (a, b, and c) and the angles between them (α, β, and γ) in the monoclinic system.

A crystal system with three unequal axes (a, b, c) and all angles unequal and not 90 degrees.

A crystal face perpendicular to the b-axis, represented by (010), with two faces.

A crystal face perpendicular to the a-axis, represented by (100), with two faces.

A crystal form with two faces parallel to the c-axis, represented by (hk0), with two faces.