Transcript 1 half-life


Science is the investigation of ideas. Scientific ideas
change as new evidence is discovered. Scientific
models and theories evolve and change.

One notable changewas the change from
Catastrophism to the principle of
Uniformitarianism.
Reference:
New text, pages 5 - 6

Catastrophists thought that Earth’s physical
features (mountains, canyons, and almost all
landforms) formed by sudden spectacular events
(catastrophes) produced by unknowable causes that
no longer operate and can not be explained by nature.
( James Ussher)

A relatively young aged Earth.

This is not to say that catastrophic events do not occur
today , tsunamis, earthquakes, volcanic eruptions, etc.

Uniformitarianism.- This idea was first recognized by a
Scottish Geologist named James Hutton.

Hutton came to the conclusion that, “ the present is the key to
the past.” and “that, the physical, chemical, biological laws
that operate today to shape Earth also operated in the past.”

This statement included two concepts;
1) the geologic processes at work today were also
active in the past.
2) the present physical features of Earth were formed by
these same processes, at work over long periods of time.

The ages of geological events can be determined in
two different ways.
1) Relative Dating
Reference:
2) Absolute Dating
(Tarbuck and Lutgens Text)
Relative Dating: pages 7-8 & 218-228
Absolute Dating: pages 228 - 235

Places events in a sequence of events of formation,
but does not identify their actual date of occurrence.

Can’t tell us how long ago something happened, only
that it followed one event and preceded another.

Relative dating techniques include;
1) Principle (Law) of Superposition
2) Principle of Original Horizontality
3) Principle of Cross-Cutting Relationships
4) Principle of Inclusions
5) Fossil Succession ( index fossils)
6) Unconformities
7) Folding and Faulting
8) Contact metamorphism
Law of Superposition
in any undisturbed sequence of sedimentary rocks, a sedimentary
layer is older than the layers above it and younger than the layers
below it.
-
Principal of Original Horizontality
- states that most layers of sediment are deposited in a horizontal
position. If rock layers are folded or inclined, then the layers
must have been moved into that position by crustal disturbances.
Law of Crosscutting Relationships
- states that an igneous rock or geologic feature is younger
than the rocks it has intruded, or cuts across.
Two examples of cross-cutting
in this diagram:
Fault cuts rock units
A, B, C, D, & dike.
Igneous Dike cuts
rock units A, B, & C.
Law of Included Fragments
- states that pieces of one rock found in another rock must be
older than the rock in which they are found.
Rock fragments from
rock unit “D” is included
in layer “E” above it.
Fossil Succession
William Smith, an English surveyor and engineer:
In a stratagraphic sequence, different species of fossil
organisms appear in a definite order; once a fossil species
disappears in a sequence of strata, it never reappears
higher in the sequence.
Unconformities
 are buried eroded surfaces which represent gaps in
geologic time.
 Three types of unconformities include;
1) Angular Unconformity
2) Disconformity
3) Nonconformity

Compressional forces cause sedimentary layers to fold
as the layers uplifted.

The folded layers are eroded and sinks where
sediment is deposited over the erosional surface.

Rock layers below the erosional surface are inclined at
an angle to the erosional surface and layers above.
STEP 1
STEP 2
STEP 3
STEPS 4-6

Rock layers above and below the erosional surface
are parallel.
Sinking

The eroded surface of metamorphic or plutonic igneous
rocks are buried by younger sedimentary layers.
sinking
3 types of
unconformities
are seen
These two features will be studied in more detail layer in
the course.
Folding is when sedimentary rocks are
compressed and bend into a wave-like pattern.
Fault is a crack in the earth’s surface along which
movement occurs.
When molten rock comes into contact with older rock
the heat causes a kind of baking that changes the
original rock.
Contact metamorphism
Correlation- the matching up of rocks from different
areas based upon their fossils, rock type,
color, and/or texture.
Fossil Correlation
Rock Symbols
Contact
metamorphism
xxxxxxx
Granite
Basalt
Arrange the letters in order from oldest to youngest.

Identifies the actual date of an event. Example, the
extinction of the dinosaurs about 66 million years ago.

Absolute dating methods include;
1) Tree Rings - The age of a tree is found by
counting the total number of rings.
2) Varves - any sediment layer that shows
a yearly cycle. Varves are often seen in
glacial lakes dating back to the ice age.
3) Radiometric Dating - calculating
absolute ages of rocks and minerals that
contain radioactive isotopes.
Radioactive Dating
A radioactive sample is the Parent Material and the decayed
product is called the Daughter Material. When both are added
together it equals 100%.
Several different dating methods can be used to find the age of
different rocks. Some of these dating methods and
corresponding half-lives ;
1) Uranium-238 decays to Lead-206 ! 4.5 Billion Years
2) Uranium-235 decays to Lead-207 ! 713 Million Years
3) Potassium-40 decays to Argon-40 ! 1.31 Billion Years
4) Carbon-14 decays to Nitrogen-14 ! 5730 years
5) Rubidium-87 decays to Strontium-87 ! 47 Billion Years
Calculating Absolute Age with Radioactivity
Radioactive elements (Isotopes)
• Elements which are unstable in nature and give off radiation
as they undergo radioactive decay to become stable.
• Three types of radiation can be given off during radioactive
decay: 1) Alpha, 2) Beta, and 3) Gamma Particles.
• Radioactive elements decay at constant rates and are thought
to start decaying as soon as the rock has formed.
•The rate at which a radioactive element decays is called its
half-life.
Radioactivity Problem
These questions could make reference
to the radioactive parent isotope in;
• Fraction Form (ex. 1/16th)
• Percent Form (ex. 25%)
• Amount in Grams (360 grams)
Question:
Calculate the age of a rock using the K - 40  Ar – 40
dating method (which has a half – life of 1.3 billion years),
if you know that 12.5% of the parent material now remains
in the rock sample.
Information Given in Problem:
Half-life of radioactive sample  1.3 Billion Years
Parent material remaining  12.5%
The key to solving radioactive problems is that the number of halflives (represented by “N”) must be found. To find the number of halflives (N) that passed when 12.5% of the radioactive sample remains
we can use a chart and follow the following steps:
Note:
0
1
2
100%
50%
25%
3
12.5%
After 3 half-lives 12.5% of
radioactive sample remains.
Thus, “N” = 3
The original amount before
any radioactive material
decayed was 100%.
This is represented in the
chart as zero half-lives.
Find how many half-lives
the radioactive sample
has to go through so that
12.5% remains.
1 half-life
2 Half-lives
3 Half-lives
To calculate the Age of the radioactive
sample, use the following formula;
Age = “N” x # of years per half-life
Age = 3 x 1.3 billion years
Age = 3.9 billion years
Problem Type #1: Fraction of parent material remaining
Given the half-life of U-235 is 0.7 billion years, determine the age of a
sample of U-235 if 1/16 of the starting material remains.
Given:
Half-life = 0.7 billion years
Fraction of parent (U-235) remaining = 1/16

You must first find out how many half-lives have passed if
1/16 of the parent (U-235) remains.
Problem Type #1: Fraction of parent material remaining
Given the half-life of U-235 is 0.7 billion years, determine the age of a
sample of U-235 if 1/16 of the starting material remains.
Given:
Half-life = 0.7 billion years
Fraction of parent (U-235) remaining = 1/16

You must first find out how many half-lives have passed if
1/16 of the parent (U-235) remains.
Age = # of Half-lives x Time for 1 Half-life
Age = ( 4 ) (0.7 Billion years)
Age = 2.8 Billion years
Problem Type #2: Mass of parent material remaining
1200 g of a radioactive element has decayed to produce 150 g of
the element. If the half-life of the mineral is 0.40 billion years,
what is the age of the sample?
Given:
1200 grams decays to 150 grams & Half-life = 0.4 Billion years
You must first find out how many half-lives have passed when 1200
grams decays to form 150 grams
Problem Type #2: Mass of parent material remaining
1200 g of a radioactive element has decayed to produce 150 g of
the element. If the half-life of the mineral is 0.40 billion years,
what is the age of the sample?
Given:
1200 grams decays to 150 grams & Half-life = 0.4 Billion years
1200 g
600 g
300 g
150 g
Age = # of Half-lives x Time for 1 Half-life
3
Half
lives
Age = ( 3 ) (0.4 Billion years)
Age = 1.2 Billion years
Problem Type #3: Decay Graph
Element X has a half-life of 250,000 years. Suppose that 256 g
of element X were initially present in a sample of rock.
(i)
Construct a half-life decay graph to illustrate the decay
process for 5 half-life periods.
(ii)
How many grams of element X will remain after one
million years have expired?
Information Given:
Half-life = 250,000 years
Mass of “X” = 256 grams (Initial amount of radioactive element)
Problem Type #3: Decay Graph
(i)
Construct a half-life decay graph to illustrate the decay process for 5
half-life periods.
Problem Type #3: Decay Graph
(i)
Construct a half-life decay graph to illustrate the decay process for 5
half-life periods.
Problem Type #3: Decay Graph
(ii)
How many grams of element X will remain after one
million years have expired?
You must first find out how many half-lives can pass in 1 million years.
# Half-Lives
# Half-Lives
# Half-Lives
= Total time
Time 1 Half-Life
= 1,000,000 yrs
250,000 yrs
= 4
Answer:
16 grams will remain
after 1 million years.
Metamorphism resets the radioactive clock.
Addition( hydrothermal fluids) or loss(leaching) of parent
or daughter give false ages.
Sedimentary rocks are formed from previously existing
weathered and eroded rocks therefore gives different ages for
different parts of the sample.
Certain parent isotopes are only appropriate under certain
Conditions, C-14 only on once living organisms. Some
Isotopes have to long or short half-lives.
What is a fossil?
Fossils are the remains or traces of organisms
found in sedimentary rocks.
What conditions are necessary for fossils to form?
1) Rapid burial
If the organism is quickly buried by sediment it is protected from
being eaten by scavengers or is decomposed by bacteria.
2) Presence of hard body parts
– fossils of organisms that contained hard parts are abundant in
the fossil record, but only rare traces of soft tissue organisms are
seen as fossils.
3) Low oxygen environment
- in a low oxygen environment there is less bacteria and
decomposition is slower.
What is the importance of fossils to geologist?
And what does a fossil indicate?
1) Fossils indicate the age of sedimentary rocks.
Approximate age of the rock can be determined if we
know when a life form existed on Earth.
2) Fossils indicate the environments in which rocks formed.
Example, fossils of coral indicate a warm tropical
environment.
3) Fossils are used to correlate (match up) rocks.
What is the importance of fossils to geologist?
And what does a fossil indicate?
4) Fossils provide the basis by which the subdivisions of the Geologic
Timescale are divided.
Division of the Geologic timescale is marked by some significant
event in the evolution of Earth.
Example, extinctions marked the end of two eras;
the extinction of trilobites marked the end of the Paleozoic Era
the extinction of dinosaurs marked the end of the Mesozoic Era.
5) Fossils can also indicate evolutionary pathways.
Fossil evidence show the progression (evolution) of life
forms with time.
Fossils are preserved in the rock record in several ways;
1)
2)
Petrification
Carbonization
3)
Mold and Cast
4)
Preservation
 Ice, Mummification, and Amber
5)
Traces
 Tracks, Burrows, and Coprolites.
 occurs when the small internal
cavities and pores of the original
structure are filled with
precipitated mineral matter.
 occurs when cell walls and
solid material are removed and replaced by
mineral material carried by underground
water.
 sometimes internal details and structures are retained.
 occurs when fine sediment encloses delicate
matter such as leaves in a oxygen poor environment.
As time passes, pressure squeezes out the liquid and
gaseous components of the organism leaving behind
a thin residue of carbon.
 often preserve a replica of a plant
or animal in sedimentary rocks.
 an organism is buried in sediment
and then dissolved by underground
water leaving a hollow depression or
an impression, called a mold.
 The mold shows only the original shape
and surface markings of the organism; it
does not reveal the internal structure.
 When minerals or sediment fills the
hollow depression or impression it forms a cast.
 Original remains can be preserved
in ice or in amber (tree sap).
 Both ice and amber protects the
organism from decay (oxygen free environment) and
from pressures that would crush the organisms.
 The entire animal has been preserved, even the
soft parts which usually decay and disappear.
Examples:
(1) Woolly Mammoths preserved in ice in Alaska and Siberia.
(2) Insects preserved in tree sap (amber). Cane in Jurassic Park.
 show traces left in the rock by
an animal, such as;
1)
Tracks - animal footprints made in soft sediment
that latter formed solid sedimentary rock.
2)
Burrows - animal trails made in soft sediment that
latter formed solid sedimentary rock.
3)
Coprolites - Fossil dung (feces) and stomach contents.
Fossils of forms of life which existed during
limited periods of geologic time and thus are
used as guides to the age of the rocks in which
they are preserved. Example: Paradoxides
Trilobite were Cambrian life forms.
Conditions for a good index fossil:
1. Fossils found over a wide area of the earth’s surface.
2. Species of organism must have been short lived
geologically speaking.
Precambrian
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Little direct evidence of fossils, due to lack of hard body parts.

Fossil evidence include; algae, bacteria, and traces of soft body
organisms.
Paleozoic Era -- “Age of the Invertebrate”.

Invertebrates evolved into vertebrates;
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First land plants evolved in the Silurian.
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Abundance of fishes in the Devonian which is known as the “age of the
fishes”.

Lung fish evolved into amphibians throughout the the Mississippian
and Pennsylvanian.

Amphibians evolved into reptiles in the Permian and reptiles are known
as the first true land dwellers. Hard shelled eggs made this possible.

Mass extinctions of invertebrates including trilobites and numerous
other marine species occurred at the end of the Paleozoic Era.
Mesozoic Era -- “Age of the Reptiles”

Dinosaurs became dominant.

First birds are seen during this time

The end of the Mesozoic Era was marked by mass extinctions
of reptiles including dinosaurs and numerous other species.
Cenozoic Era -- “Age of the Mammals”.

Mammals evolve and dominate during this time.

Flowering plants are the dominant land plant.

Some mammals became extinct during the late Cenozoic
(11,000 years ago). These include the mastodon, mammoth,
saber-tooth cat, large ground sloth, giant bison and others.
Single celled-Invertebrates – Fish - First land plants –
Amphibians – Reptiles – Birds – Flowering Plants -Mammals
Summers I Fly Fish And Ride Bikes For Months
Reference:
Tarbuck &
Lutgens Pages 10
& 237
Scientist and their contribution to the Geologic Time Scale.
Nicolaus Steno
 Principle of Original Horizontality.
 Principle of Superposition.
James Hutton and Charles Lyell
 Principle of Uniformitarianism
William Smith
 Principle of Faunal Succession
What do the divisions of the geologic time scale signify?
Eons
Eras
Divisions of Geologic Time
Eon,
Largest
span of
time
Era,
Period,
Epoch
Smallest
span of
time
MESOZOIC
PROTEROZOIC
P
H
A
N
E
R
O
Z
O
I
C
C
E
N
O
Z
O
I
C
P
A
L
E
O
Z
O
I
C

Names of the eons




Phanerozoic (“visible life”)—The most
recent eon, began about 540 million
years ago
Proterozoic
Archean
Hadean—The oldest eon
Era—Subdivision of an eon
 Eras of the Phanerozoic eon

Cenozoic (“recent life”)
 Mesozoic (“middle life”)
 Paleozoic (“ancient life”)

Eras are subdivided into periods
 Periods are subdivided into epochs

 Precambrian
time
Nearly 4 billion years prior to the
Cambrian period.
 Not divided into smaller time units
because the events are not known in
great detail, due to age, erosion and
lack of fossil life forms.


First abundant fossil evidence does not
appear until the beginning of the Cambrian
 Mass extinctions are episodes in geologic history
where mass amounts of organisms (species) are killed
off.
 Two major periods of extinction is recognized in
Earth’s history:
1) Permian – Triassic Boundary (End of Paleozoic)
2) Cretaceous – Tertiary Boundary (End of Mesozoic)
Reference:
Tarbuck and Lutgens
Pages 298 & 304

The most widely accepted hypothesis for the extinction at the
end of the Paleozoic Era, is the plate tectonic assembly of
Pangaea and the loss of habitat.
The most widely accepted hypothesis for the extinction at the
end of the Mesozoic Era, is the impact of a great meteorite
 and the corresponding disruption of climate.
 Other possible explanations;
1)
2)
3)
4)
falls in sea levels,
climatic changes,
prolonged volcanic eruptions, and,
periods of lack of oxygen in oceans.