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(7) Earth in space and time. The student knows
that scientific dating methods of fossils and rock
sequences are used to construct a chronology of
Earth's history expressed in the geologic time
scale. The student is expected to:
(b) calculate the ages of igneous rocks from Earth and
the Moon and meteorites using radiometric dating
methods; and
(c) understand how multiple dating methods are used to
construct the geologic time scale, which represents Earth's
approximate 4.6-billion-year history.
All matter is made up of
combinations of chemical elements,
each with its own atomic number,
indicating the number of protons (+)
in the atomic nucleus.
• number of protons=number of electrons (-)
The number of protons plus
neutrons (neutral) an element has
within its nucleus, is the atomic mass
of an element.
What is the atomic number of carbon?
6
What is the atomic mass of carbon? 12
Additionally, elements may exist in
different isotopes, with each isotope This is an isotope of carbon.
What is its atomic mass?
of an element differing in the
number of neutrons in the nucleus.
Some atomic nuclei are naturally unstable. That is, at some point in
time, an atom of such an unstable nuclei will spontaneously
transform into a different element entirely.
For this class, you need to know about how this transformation may
occur in two different ways:
 alpha decay
beta decay
Alpha decay
In alpha decay, the nucleus emits an alpha
particle, which is essentially a helium nucleus,
so it's a group of two protons and two neutrons.
A helium nucleus is very stable.
An example of an alpha decay involves
uranium-238:
Beta decay
A beta particle is often an electron. In β−
decay, a neutron (n) is converted into a
proton (p) while emitting an electron (e−)
An example of such a process is:
.
Pa is the element Protactinium,
and it is very stable.
Radioactive materials decay at known rates, measured as a unit
called half-life. The half-life of a radioactive substance is the
amount of time it takes for half of the parent atoms to decay. This is
how the material decays over time. The decay of radioactive
materials can be shown with a graph, and the parent decays
inversely to the daughter evolving.
Different isotopes are
used to date
materials of different
ages. Using more
than one isotope
helps scientists to
check the accuracy of
the ages that they
calculate.
Radioactivity provides a way to find the absolute age of a rock. Radioactive dating
uses isotopes naturally present in rocks.
The radioactive decay of a parent isotope
(the original element) leads to the
formation of stable daughter isotopes. As
time passes, the number of parent isotopes
decreases and the number of daughter
isotopes increases .
You have found a rock and you analyze it. You find it contains 25%
parent atoms and 75% daughter atoms. How many half lives have
passed? 2
If the half-life of the parent isotope is 1 billion years, then how old is
the rock? 2 billion years old
Using the graph, what % of the
parent isotope will have evolved into
the daughter element after 3 years?
87.5%
Radiocarbon dating is used to find the age of once-living
materials between 100 and 50,000 years old. This range is
especially useful for determining ages of human fossils and
habitation sites.
Carbon isotopes from
the black material in
these cave paintings
places their creation at
about 26,000 to 27,000
years BP
The Earth’s atmosphere contains three
isotopes of carbon: carbon-12, (the
most common) carbon-13 and carbon14.
Only carbon-14 is radioactive; it has a
half-life of 5,730 years. The amount of
carbon-14 in the atmosphere is tiny
and has been relatively stable through
time.
Plants remove all three isotopes of carbon from the atmosphere during photosynthesis.
Animals consume this carbon when they eat plants or other animals that have eaten plants.
After the organism’s death, the carbon-14 decays to stable nitrogen-14 by releasing a beta
particle. The nitrogen atoms are lost to the atmosphere, but the amount of carbon-14 that
has decayed can be estimated by measuring the proportion of radioactive carbon-14 to
stable carbon-12. As time passes, the amount of carbon-14 decreases relative to the
amount of carbon-12.
Find potassium on the periodic table. What is it’s normal
atomic mass? 39
Potassium-40 is the radioactive form, and decays to argon40 with a half-life of 1.26 billion years. Argon is a gas that
escapes from molten magma, so any argon found in an
igneous crystal probably formed as a result of the decay of
potassium-40.
Measuring the ratio of potassium-40 to argon-40 yields a
good estimate of the age of that crystal.
Potassium is common in many minerals, such as feldspar,
mica, and amphibole. With its half-life, the technique is
used to date rocks from 100,000 years to over a billion
years old. The technique has also been useful for dating
fairly young geological materials and deposits containing
the bones of human ancestors, as long as they are found
in association with volcanic activity.
Two uranium isotopes are used for radiometric dating.
Uranium-238 decays to lead-206 with a half-life of 4.47 billion
years.
Uranium-235 decays to form lead-207 with a half-life of 704
million years.
Uranium-lead dating is usually performed
on zircon crystals. When zircon forms in an
igneous rock, the crystals readily accept
atoms of uranium but reject atoms of lead.
If any lead is found in a zircon crystal, it can
be assumed that it was produced from the
decay of uranium.
Uranium-lead dating is useful for dating
igneous rocks from 1 million years to
around 4.6 billion years old. Zircon crystals
from Australia are 4.4 billion years old,
among the oldest rocks on the planet.
While Radiometric Dating is a very useful tool for measuring precise
ages of Earth rocks, there are some limitations:
 The material being dated must have measurable amounts of
the parent and/or the daughter isotopes.
 Ideally, for more accuracy, different radiometric techniques
should be used to date the same sample; if the calculated ages
agree, they can be considered accurate.
 Radiometric dating is not very useful for determining the age
of sedimentary rocks.
 Radiometric dating destroys samples
To estimate the age of a sedimentary rock, geologists find nearby igneous rocks that can be
dated and use relative dating to constrain the age of the sedimentary rock.
Using a combination of radiometric dating, index fossils, and superposition, geologists have
constructed a well-defined timeline of Earth history. With information gathered from all
over the world, estimates of rock and fossil ages have become increasingly accurate.
All of this evidence comes together to pinpoint the age of Earth at 4.6 billion years.
A scientist is studying a
piece of cloth from an
ancient burial site. She
determines that 40% of
the original carbon-14
atoms remain in the cloth.
Based on the carbondecay graph What is the
approximate age of the
cloth?
8,000 years