Introduction to Crystallography - Lecture 1
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Questions and Answers

What is the definition of a crystal?

A natural solid body, with a regular atomic arrangement, a certain chemical composition, and bounded by plane surfaces.

What is crystallography?

A branch of science focused on the geometry of internal structure and physical properties of crystalline materials.

Which of these is NOT a characteristic of a mineral?

  • Natural
  • Inorganic
  • Specific chemical composition
  • Stable at 25 degrees Celsius
  • Organic (correct)
  • Solid
  • What are the two main branches of crystallography?

    <p>Structural crystallography and Geometrical crystallography</p> Signup and view all the answers

    What is the difference between crystalline solids and amorphous solids?

    <p>Crystalline solids have regular, periodic arrangements of atoms or molecules, while amorphous solids have random arrangements.</p> Signup and view all the answers

    What is the purpose of using a goniometer?

    <p>To measure the interfacial angles of a crystal.</p> Signup and view all the answers

    What are the three key components of a polyhedron?

    <p>Faces, edges, and solid angles.</p> Signup and view all the answers

    What is a form in crystallography?

    <p>A group of crystal faces sharing the same relationship to the elements of symmetry within a given crystal system.</p> Signup and view all the answers

    Flashcards

    Crystallography

    The study of the geometric arrangement of atoms within crystalline materials and the physical properties that arise from this arrangement.

    Mineral

    A naturally occurring solid with a specific chemical composition and a regular, repeating internal arrangement of atoms.

    Crystal

    A solid with a highly ordered, repeating arrangement of atoms, ions or molecules. Examples include diamonds, salt, and quartz.

    Crystallization

    The process of forming a crystalline structure from a liquid or dissolved material. Like water turning into ice or salt crystallizing from a solution.

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    Chemical Bond

    The force that holds atoms together in a crystal. Examples include ionic, covalent, and metallic bonding.

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    Cation (+)

    A positively charged ion in a crystal. It forms by losing electrons.

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    Anion (-)

    A negatively charged ion in a crystal. It forms by gaining electrons.

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    Coordination Number

    The number of ions or atoms surrounding a central atom or ion in a crystal structure. It influences the shape and properties of the crystal.

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    Crystal Lattice

    The arrangement of atoms in a repeating pattern, creating a specific crystal shape.

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    Crystal Form or Habit

    A specific group of crystal faces that share a common relationship to the elements of symmetry.

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    Crystal Face

    A flat surface on a crystal.

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    Crystal Edge

    The line formed where two adjacent crystal faces meet.

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    Solid Angle

    The point at which three or more crystal faces meet.

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    Interfacial Angle

    The angle between two adjacent crystal faces. It is a crucial characteristic for mineral identification.

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    Polyhedron

    A three-dimensional solid with straight edges and flat faces. Examples include cubes, pyramids, and prisms.

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    Cleavage

    The ability of a crystal to cleave along specific planes, producing smooth, flat surfaces.

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    Fracture

    The tendency of a mineral to break along irregular, uneven surfaces. It's the opposite of cleavage.

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    Hardness

    A crystal's tendency to resist scratching. It's a measure of its hardness.

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    Streak

    The color of a mineral when it is powdered.

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    Luster

    The way a mineral reflects light. It can be metallic, glassy, dull, etc.

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    Specific Gravity

    The weight of a mineral compared to an equal volume of water.

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    Crystal Habit

    The tendency of a crystal to grow in a specific shape based on its atomic arrangement.

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    Crystal Structure

    The internal structure of a crystal, which is a repeating arrangement of atoms.

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    Crystallographic Axes

    A set of three axes that are used to describe the orientation of a crystal.

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    Crystal Projection

    A representation of a crystal's structure, showing the relative positions of its atoms.

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    Miller Indices

    A group of symbols that represent a crystal face by its intercepts with the crystallographic axes.

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    Axial Ratio

    The relative lengths of the crystallographic axes.

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    Faces Intercepts

    The points where a crystal face intersects the crystallographic axes.

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    Rotation

    A symmetry operation that involves rotating a crystal about an axis.

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    Reflection

    A symmetry operation that involves reflecting a crystal across a plane.

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    Inversion

    A symmetry operation that involves inverting a crystal through a point.

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    Point Group

    A group of symmetry operations that describe the symmetry of a crystal.

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    Study Notes

    Lecture 1 - Introduction to Crystallography

    • Topic: Introduction to Crystallography, lecture given on 26/11/2024 by Assistant lect. Shleer Burhan
    • Course: Mineralogy: Mineral Science 2025-2024
    • First Semester: Crystallography
    • Second Semester: Mineralogy
    • Course Description: Basic building of solid universe (Earth, Moon, Planets, meteorites), Human developments (railway, cars, electricity, communication, building, agriculture), Rocks (igneous, metamorphic, sedimentary), National economic (strategic minerals, Gold, Silver, PGE, REE, Cu, Fe, Uranium), Gemstone (Diamond), Earth history and ages (Zircon)
    • Course Overview: Crystallography is the science of determining the arrangement of atoms in crystalline solids. Mineralogy is the study of naturally occurring crystalline substances.

    Course Objective

    • What is a crystal?
    • What are minerals, and how are they different from rocks?
    • What are the major parts of crystals?
    • What is the crystal symmetry and crystal form?
    • What is the classification of crystals according to system?
    • What is the basic of a mineral?
    • What are some physical and chemical properties of minerals?
    • How can these properties be used to distinguish one mineral from another?
    • What is the genesis and origin of minerals?
    • What is the most abundant mineral group?
    • What are the important properties of minerals?

    Exams

    • 1st Exam: Lec 1: Introduction, Lec 2: Basics of Crystallography, Lec 3: Polyhedron & Crystallographic axes, Lec 4: The crystal system, Lec 5: Elements of symmetry, Lec 6: Crystal Form, Lec 7: Axial Ratio & Faces intercepts, Lec 10: Crystal Projection, Lec 9: Crystal Habit, Lec 8: Miller Indices, Lec 11: Crystal Lattice, Lec 12: The 14 Bravais Lattices, Lec 13: The 32 Point Groups (Crystal Classes)
    • 2nd Exam: All topics from the first semester covered in the lecture series

    Basic of Crystallography

    • Definition: A branch of science that studies the geometry, internal structure and physical properties of crystalline materials.
    • Crystal: A natural solid with a regular atomic arrangement and specific chemical composition, bounded by plane surfaces.
    • Crystallization: The process of forming a crystalline structure from a fluid or dissolved materials (rarely, directly from gas).

    Chemical Composition

    • Cation: A positively charged ion (P>E)
    • Anion: A negatively charged ion (E>P)
    • Atoms combine due to the electrostatic attraction (bonds).
    • Charges (loss or gain of electrons) are characteristics of an atom.

    Bonds

    • Types of chemical bonds include ionic, covalent, and metallic.

    Common Elements and Minerals

    • Eight main elements are the majority of Earth's crust and mantle (oxygen, silicon, aluminum, iron, calcium, sodium, potassium, magnesium).
    • The relative amount of each element is given in percentages.

    Coordination Number

    • The number of ions or atoms surrounding an atom or ion in a crystalline structure.
    • Relative size of cation and anion (Rx/Rz) determines the coordination number. (Hexagonal closest packing, cubic closest packing)

    Crystal Solids vs. Amorphous Solids

    • Crystalline solids have regular, periodic atomic arrangements; exhibit anisotropic properties (properties depend on direction), sharp melting points
    • Amorphous solids do not have a regular arrangement; exhibit isotropic properties (properties are same in every direction), lack sharp melting points

    Crystal Parts

    • Faces: Plane surfaces bounding a crystal.
    • Edge: Intersection of two adjacent faces.
    • Solid Angle: Point where three or more adjacent faces meet.
    • Interfacial Angle: Angle between two adjacent faces, usually measured using a goniometer.
    • Crystal symmetry: Similar parts of the crystal facing each other (or around an axis).
    • Crystal form/habit: Physical shape or appearance of a crystal.
    • Crystal axes: Three axes that define a crystal system.

    How to Measure Interfacial Angle

    • Contact Goniometer: A tool used to measure interfacial angles.
    • Reflection Goniometer

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    Description

    This quiz covers the foundational concepts of crystallography as introduced in Lecture 1 of the Mineralogy course for the academic year 2025-2024. It explores key topics such as crystal structures, minerals, symmetry, and the significance of crystals in the natural world and human development.

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