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Stereographic Projection
a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto a plane (the projection plane) perpendicular to the diameter through the point
2D representation of 3D space
more convenient to draw lines in 2D space compared to drawing planes
a method used in crystallography and structural geology to depict the angular relationships between crystal faces and geologic structures, respectively
Poles
Lines that are normal (perpendicular to the plane or face)
Interfacial Angle
Angle between the planes/faces of a crystal
Wulff Net
In order to make plotting of the stereographic projection easier, a device called a stereographic net/stereonet/____ is used.
Primitive Circle
circle that surrounds the stereonet
Great Circles
curved lines that connect the points labeled N and S on the stereonet. The E-W and N-S axes, as well as the Primitive Circle are also ____
Angular relationships between points can only be measured here
Small Circles
highly curved lines that curve upward and downward on the stereonet.
WILLIAM ROENTGEN
discovered and produced X-rays in 1895
noticed that a fluorescent screen from a cathode ray tube emitted a flash of light each an electrical discharge was passed
X-RAYS
used in radiography to give shadow images of objects
produced when any electrically charged particle of sufficient kinetic energy is rapidly decelerated
High voltage is applied between two electrodes (tens of thousands of volts)
electron source → cathode → anode
Roentgen’s ghostly skeleton
first radiographic image taken
1912
In what year was the exact nature of x-rays was established and the discovery of x-ray diffraction
MAX VON LAUE, PAUL KNIPPING, WALTER FRIEDRICH
directed a beam of x-rays at a crystal of copper sulfate and recorded the scattered beams of a photographic plate
Radiography
resolution is limited to sizes of the order of 10-1cm
Diffraction
can resolve details of internal structure of the order of 10-8cm
a scattering phenomenon
____ of electromagnetic radiation occurs due to certain phase relations between 2 or more waves
X-RAY DIFFRACTION
can provide information on:
crystallite size, microstresses and microstrains (from an analysis of line broadening)
macrostrains (from an analysis of line shifts)
total thickness in multilayer films (from analysis of low-angle Bragg peaks)
X-RAY AS ELECTROMAGNETIC RADIATION
form of electromagnetic radiation with wavelengths between gamma and ultraviolet rays
high energy electromagnetic radiation having energies from ~200eV to 1 MeV
those used in diffraction have wavelengths in the range 0.5-2.5 Angstroms (vs. order of 6000 Angstroms for visible light)
1 Angstrom = 0.1nm = 1x10-10m
CONSTRUCTIVE INTERFERENCE
the electric field vectors have the same magnitude and direction at the same instant at any point x measured along the direction of the propagation of the wave
produces diffracted beams
DESTRUCTIVE INTERFERENCE
two waves are completely out of phase when the waves annul each other
decrease in the resulting amplitude
DIFFRACTED BEAMS
just beams composed of a large number of scattered rays mutually reinforcing one another
DIFFRACTED X-RAY BEAMS
built up of rays scattered by all the atoms of the crystal which lie in the path of the incident beam
takes place only at those particular angles which satisfy the BRAGG LAW
intensity is extremely small compared to that of the incident beam
REFLECTION
takes place on a thin surface only
occurs at any angle of incidence
by a good mirror is almost 100% efficient
BRAGG LAW
states the essential condition to be met for diffraction to occur
incident beam, the diffracted beam, and plane normal are always coplanar
angle between the diffracted beam and transmitted beam is always 2θ (diffraction angle)
ORE MINERALS
best ore deposits are those containing large amounts of ____
METALS OF VALUE
best metal ore minerals are those that contain large amounts of ____
METALLIC ORE MINERALS
most ____ are native elements, sulfides, sulfosalts, oxides, or hydroxides
Magmatic Ore Deposits (Igneous), Hydrothermal Ore Deposits (Sedimentary/Metamorphic), Sedimentary Ore Deposits
3 TYPES OF ORE DEPOSTIS
Metallic and Semi-metallic Elements, Nonmetallic Elements, Gems, Construction and Manufacturing, Fertilizer and Chemicals, Energy Sources
6 groups of mineral commodities
Metallic and Semi-metallic Elements
Gold, Silver, Copper, Iron, Manganese, Aluminum are examples of what group of mineral commodities?
Nonmetallic Elements
Potassium, Sodium, Phosphorus, Sulfur are examples of what group of mineral commodities?
Gems
Diamond, Sapphire, Agate are examples of what group of mineral commodities?
Construction and Manufacturing
Sand, clay, building stone, diatomite, talc, mica, zeolites are examples of what group of mineral commodities?
Fertilizer and Chemicals
Limestone, phosphate, potash, salt, nitrate, fluorite are examples of what group of mineral commodities?
Energy sources
Coal, oil, gas, uranium are examples of what group of mineral commodities?
CELLPHONE
Display:
Silica sand
Cassiterite (primary source of tin)
Bauxite (for LED)
Sphalerite (source of indium)
Electronics and Circuitry:
Chalcopyrite (source mineral of copper)
Tetrahedrite (primary source of silver)
Silicon (source mineral is quartz)
Arsenopyrite (source of arsenic)
Tantalite (source mineral of tantalum)
Wolframite (source of tungsten)
Battery:
Spodumene (source of lithium)
Graphite
Speakers and Vibration:
Bastnaesite (source of rare-earth elements to produce magnets)
Cassiterite
primary source of tin
Bauxite
source of LED
Sphalerite
source of indium
Chalcopyrite
source mineral of copper
Tetrahedrite
primary source of silver
Silicon
source mineral is quartz
Arsenopyrite
source of arsenic
Tantalite
source mineral of tantalum
Wolframite
source of tungsten
Spodumene
source of lithium
Bastnaesite
source of rare-earth elements to produce magnets
MINERAL DEPOSIT
a place in Earth’s crust where geologic processes have concentrated one or more minerals at greater abundance than in the average crust
ORE DEPOSITS
a mineral deposit that can be produced to make a profit
all ____ are mineral deposits, but not all mineral deposits are ____
EXAMPLES OF NATURAL ABUNDANCES OF ELEMENTS
Make up 99% of the Earth’s crust:
Oxygen
Silicon
Aluminum
Iron
Calcium
Sodium
Potassium
Magnesium
Titanium
NATURAL ABUNDANCES OF ELEMENTS
elements that occur in high abundance do not need a high concentration factor
less common (chromium, lead, tin, and zinc) require great concentrations to be profitably mined
there is a correlation between the economical ore grades and the price of a given resource
the more common the element, the cheaper it is
less common means higher price
if it is in-demand, the value of the mineral/ore increases
LESS ABUNDANT ELEMENTS
Radioactive elements:
Uranium
Thorium
Fertilizer:
Nitrogen
Phosphorus
US
controls about half the world’s molybdenum
Australia
produces about a quarter of the world’s aluminum
Zaire
half of the world’s cobalt
South Africa
controls 90% of the world’s platinum, half the world’s gold, and 75% of the chromium.
Bolivia and Brazil
much of the world’s tin
China
accounts for 95% of all rare earth production
Gold, Silver, Copper, Platinum
4 NATIVE METALS
Arsenic, Antimony, Bismuth
3 NATIVE SEMI-METALS
Graphite, Diamond, Sulfur
3 NATIVE NONMETALS
Silver
sometimes occurs in a wire-like or arborescent (tree-like) form
Copper
occurs in a variety of ore deposits associated with mafic volcanics and in some sandstones (branching sheets, plates, and wires, and as massive pieces )
Platinum
from ultramafic igneous rocks or in placers; a secondary product of Cu- or Ni-sulfide refining
Antimony
rarely pure and is usually in solution with arsenic and may contain small amounts of other metal
Sulfur deposits
associated with volcanoes; concentrated at fumaroles
Graphite
a minor mineral in many kinds of metamorphic rocks
Diamond
only forms at very high pressures
OXIDES
metals + oxygen
HYDROXIDES
metals + OH
MAGMATIC ORE DEPOSITS (IGNEOUS)
elements may not be concentrated enough to make mining economical
Disseminated deposit
if the minerals are scattered throughout a host rock, but in sufficient amounts to mine profitably
Vein deposit
consisting of veins that are centimeters to meters thick
Lode deposit
ore is distributed in many small veins
Magmatic Sulfides and Cumulates
Major elements: O, Si, Al, Fe, Ca, Na, K, and Mg
Minor elements: S, Fe, Ni, Pt, Pd, etc.
Magmatic sulfide deposits
pentlandite (Fe,Ni)9 S8, chalcopyrite (CuFeS2), pyrrhotite (Fe1-xS), and pyrite (FeS2)
Cumulate sulfide deposits
account for almost 60% of the world’s nickel production and more than 95% of platinum and palladium production
Pegmatites
name given to coarse-grained igneous rocks that form during the final stage of magma crystallization
often mined for minerals rich in boron, cesium, lithium, molybdenum, niobium, tantalum, tin, tungsten,etc.
Kimberlites
named after the town of Kimberly, South Africa, where they were first described, are volcanic rocks that originate in Earth’s mantle
mined exclusively for diamonds
HYDROTHERMAL ORE DEPOSITS (SEDIMENTARY/METAMORPHIC)
as a melt (lava/magma) cools and crystallizes, hot, water-rich fluids may be released
hydrothermal fluids dissolve other elements as they flow through rocks and eventually cool to deposit minerals in hydrothermal deposits
Porphyry Deposits
special kind of hydrothermal deposit
form when hydrothermal fluids carry metals toward the surface and deposit minerals to create disseminated ore deposits
Skarn Deposits
are contact metamorphic zones that develop around an intrusion
can form in any kind of rock, but most are associated with limestone or dolostone
calcite and dolomite, and many Ca-, Mg-, and Ca-Mg-silicates
are valuable mineral deposits containing copper, tungsten (75%), iron, tin, molybdenum, zinc, lead, and gold
Volcanogenic Massive Sulfides, Exhalitive Deposits
when hydrothermal fluids create ore deposits at, or near, Earth’s surface, we call the deposits ____
Epigenetic Deposits
when a hydrothermal deposit is not directly associated with a pluton, we call it an ____
galena (PbS) and sphalerite (ZnS)
Placer Deposits
heavy minerals, weathered from igneous, sedimentary, or metamorphic rocks, can be picked up and rivers may transport them long distances before they become concentrated in placers
Spanish for alluvial sand
copper or gold, sulfide minerals such as pyrite or pyrrhotite, and oxide minerals such as magnetite or ilmenite
Iron Ores
banded iron formations (BIF) which are massive in scale
if they contain especially significant amounts of magnetite and hematite, they are profitably mined
contains repeating layers of black to silver iron oxide (magnetite), and red chert (microcrystalline quartz), magnetite (Fe3O4 ) and hematite (Fe2O3 ) but siderite (FeCO3 ), and the iron hydroxides goethite and limonite
Evaporites
mined for many things, most notably halite, sylvite, and gypsum
produce boronand lithium-mineral ores
Laterite Deposits
water leaches rocks and soils, dissolving and carrying away soluble material
the remains, called residuum, may be rich in aluminum, nickel, iron, or other insoluble elements
Phosphorites
an essential nutrient
have used it as a fertilizer
most phosphorus comes from phosphorite