Crystallography System Symmetry Quiz

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Questions and Answers

What is the defining characteristic of the triclinic crystal system?

  • All crystallographic axes are of equal length
  • All crystallographic axes are perpendicular
  • None of the crystallographic angles are equal to 90 degrees (correct)
  • The point of intersection of the three axes is called axial cross

In the orthorhombic crystal system, what is the relationship between the lengths of the crystallographic axes?

  • Two crystallographic axes are equal in length, while one is different
  • All crystallographic axes are equal in length
  • None of the crystallographic axes are equal in length (correct)
  • The crystallographic axes form a right angle with each other

Which crystal system is also known as the Isometric system?

  • Monoclinic system
  • Triclinic system
  • Hexagonal system
  • Cubic system (correct)

What is the relationship between the crystallographic angles in the hexagonal system?

<p>$\alpha = \beta = \gamma = 120^\circ$ (B)</p> Signup and view all the answers

What is a characteristic of the monoclinic crystal system in terms of its angles?

<p>$\alpha = \gamma = 90^\circ$, $\beta \neq 90^\circ$ (C)</p> Signup and view all the answers

Which crystal system has all crystallographic axes being non-perpendicular?

<p>Triclinic system (A)</p> Signup and view all the answers

What is unique about the lengths of the crystallographic axes in the hexagonal system?

<p>$a=c$, $a \neq b$ (C)</p> Signup and view all the answers

How many crystallographic angles are equal to 90 degrees in the orthorhombic system?

<p>$3$ (D)</p> Signup and view all the answers

Which crystal system has three unequal crystallographic axes forming a right angle with each other?

<p>Orthorhombic system (B)</p> Signup and view all the answers

In which crystal system are all three crystallographic axes mutually perpendicular?

<p>$Cubic$ (D)</p> Signup and view all the answers

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Study Notes

Crystal Systems Overview

  • Crystals can be classified into different systems based on their symmetrical properties and axes.
  • Each system has its unique characteristics regarding rotation axes, mirror planes, and mineral species.

Orthorhombic System

  • Possesses three 2-fold rotation axes and/or three mirror planes.
  • The holomorphic class includes three 2-fold symmetry axes, three mirror planes, and a center of inversion.
  • Other classes may contain different combinations of these features.
  • Mineral species include olivine and barite.
  • Common crystal habits: prismatic, tabular, or acicular.

Monoclinic System

  • Characterized by three unequal axes; two are inclined to each other at an oblique angle, while the third is perpendicular to the other two.
  • The two vertical axes do not intersect at right angles.
  • Displays a single 2-fold rotation axis and/or a single mirror plane.
  • The holomorphic class has a single 2-fold rotation axis, a mirror plane, and a center of symmetry.
  • Mineral species include pyroxene, amphibole, orthoclase, azurite, and malachite.
  • Common crystal habit: long prisms.

Triclinic System

  • Defined by three unequal axes intersecting at oblique angles; no axes are perpendicular.
  • Possesses only a 1-fold symmetry axis, indicating minimal symmetry presence, with no mirror planes.
  • The holomorphic class features a center of inversion symmetry.
  • Mineral species include plagioclase and axinite, typically exhibiting a tabular habit.

Crystal Forms

  • A crystal form is defined as a set of geometrically equivalent faces related by the crystal's symmetry.
  • Specifying one face defines the point symmetry operations that inform the crystal's class and its other faces.
  • In the isometric or cubic system, there are fifteen different forms, including:
    • Hexoctahedron
    • Gyroid
    • Hextetrahedron
    • Diploid
    • Tetartoid

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