Crystallography: Forms and Systems
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Questions and Answers

What are the imaginary lines that pass through the center of a crystal called?

  • Crystal faces
  • Crystallographic axes (correct)
  • Symmetry lines
  • Unit cells
  • There are three types of symmetry elements in crystallography.

    True

    What is meant by 'parameters' in the context of crystallographic axes?

    The relative intercepts made by a crystal face on the three crystallographic axes.

    The three crystallographic axes can be represented as ___ , ___ , and ___ for XOX', YOY', and ZOZ'.

    <p>Ox, Oy, Oz</p> Signup and view all the answers

    Match the terms related to crystallographic axes with their definitions:

    <p>Parameter = Relative intercepts of a crystal face on the axes Indices = Whole numbers representing the relationship of a crystal face with axes Symbols = Representations of the axes Forms = Geometric shapes of the crystal faces</p> Signup and view all the answers

    Which of the following statements accurately describes crystallographic axes?

    <p>They are imaginary lines and can vary in length and angle.</p> Signup and view all the answers

    What type of crystallographic form is characterized by a set of similar faces showing identical mathematical relations with crystallographic axes?

    <p>All of the above</p> Signup and view all the answers

    In the Miller system, indices for a crystal face are derived from its parameters.

    <p>True</p> Signup and view all the answers

    How many straight lines pass through a common center to define the simplest form of crystallographic axes?

    <p>Three</p> Signup and view all the answers

    In the isometric system, all crystals can be referred to three crystallographic axes that are of equal length and at right angles to each other.

    <p>True</p> Signup and view all the answers

    Name one crystal form that commonly develops in the isometric system.

    <p>Cube</p> Signup and view all the answers

    The symmetry class in the isometric system that is commonly associated with galena type is known as the __________ class.

    <p>normal</p> Signup and view all the answers

    Match the following types of crystallographic forms with their descriptions:

    <p>Holohedral form = Complete forms with all symmetrical faces Hemihedral form = Half the number of faces compared to holohedral Enantiomorphic form = Chiral forms with non-superimposable mirror images Fundamental form = The simplest representation of symmetry in a set of faces</p> Signup and view all the answers

    Which of the following statements correctly describes the hexagonal system?

    <p>It includes a vertical axis that is at right angles to the horizontal axes.</p> Signup and view all the answers

    The trisoctahedron is one of the common forms in the hexagonal system.

    <p>False</p> Signup and view all the answers

    What is the relationship between crystallographic axes in the isometric system?

    <p>They are equal in length and interchangeable.</p> Signup and view all the answers

    What is the designation for the horizontal axes in an axial diagram of the hexagonal system?

    <p>a1, a2, a3</p> Signup and view all the answers

    In the monoclinic system, all three axes are equal in length.

    <p>False</p> Signup and view all the answers

    Name one common form of the monoclinic system.

    <p>Pinacoid</p> Signup and view all the answers

    In the monoclinic system, the vertical axis is designated by the letter ______.

    <p>c</p> Signup and view all the answers

    The inclined axis in the monoclinic system is referred to as which axis?

    <p>a-axis</p> Signup and view all the answers

    Peat is a completely transformed form of coal.

    <p>False</p> Signup and view all the answers

    What is lignite and its primary use?

    <p>A low rank of coal used as a domestic fuel and in industry for distillation and gasification.</p> Signup and view all the answers

    Match the following terms with their descriptions:

    <p>Hexagonal system = Axes designated as a1, a2, a3 Monoclinic system = Includes an inclined a-axis Peat = Partly transformed vegetable matter Lignite = Lowest rank of coal</p> Signup and view all the answers

    Study Notes

    Crystallographic Forms

    • A form is a group of similar crystal faces that have the same mathematical relationship to the crystallographic axes.
    • Forms are often classified based on their relationship to the crystallographic axes, such as holohedral, hemihedral, hemimorphic, enantiomorphic, and fundamental.
    • Open forms do not enclose space.
    • Closed forms enclose space.

    Isometric System

    • The Isometric system is characterized by three crystallographic axes of equal length that are mutually perpendicular.
    • All axes are interchangeable.
    • There are five symmetry classes within the Isometric system, with the most common known as the galena type.
    • Common forms include the cube, octahedron, dodecahedron, trisoctahedron, trapezohedron, hexaoctahedron, and tetrahexahedron.

    Hexagonal System

    • The Hexagonal system has three horizontal axes of equal length that intersect at 120 degrees.
    • The fourth axis is vertical and perpendicular to the horizontal axes.
    • The internal atomic arrangement of a mineral is reflected externally by its crystal shape.

    Symmetry

    • Symmetry in crystals refers to the regularity in the arrangement of faces.
    • Three elements of symmetry are: planes of symmetry, axes of symmetry, and centers of symmetry.

    Crystallographic Axes

    • Crystallographic axes are imaginary lines passing through the center of an ideal crystal.
    • These axes are used to establish mathematical relationships between the faces of a crystal.
    • Crystallographic axes are defined by their lengths and angles relative to each other.
    • There can be three or four axes, with different relationships.

    Parameters

    • Parameters refer to the relative intercepts of a crystal face on the three crystallographic axes.
    • For example, if the intercepts are a, b, and c, then these are the parameters.

    Indices

    • Indices are whole numbers that represent the relationship of a crystal face to the crystallographic axes.
    • They are derived from the parameters using the Miller system, by taking the reciprocals of the parameters.

    Symbols

    • Symbols provide a concise way to represent a crystal face using its indices.

    Monoclinic System

    • The Monoclinic system features three unequal crystallographic axes.
    • One axis is inclined, while the other two are perpendicular.
    • Common forms include pinacoid, domes, prisms, and pyramids.

    Coal Formation

    • Coal is a sedimentary rock formed from the transformation of vegetable matter through burial, compaction, and biochemical processes.
    • Peat is the initial stage of coal formation, where vegetable structure is still visible.
    • Lignite is a lower-rank coal, almost completely transformed from vegetable matter.
    • Peat is a low-value fuel used domestically and in gas purification.
    • Lignite is used as domestic fuel, for distillation, gasification, and in steam locomotives.

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    Description

    Explore the fascinating world of crystallographic forms and systems. This quiz covers different crystal face classifications, the isometric and hexagonal systems, and their unique characteristics. Test your knowledge on concepts like symmetry classes and axis relationships.

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