The Key tothe Past
Relative Time- “this rock is older than that”
Principles Used to Determine Relative Age
• Unconformities
• Correlation
• The Standard Geologic Time Scale
• Index Fossils
Absolute Time- “this rock is 28 million years
old”
Principles of radioactive decay
Radiometric dating
Radiometricdating determines Absolute Age.
It uses the half-life of atoms to figure out the age of the rock
layers the atoms are in.
Radiometric dating is a technique used to date materials such as
rocks, usually based on a comparison between the observed
abundance of a naturally occurring radioactive isotope and its
decay products, using known decay rates.
Geologists use radiometric dating to estimate how long ago
rocks formed, and to infer the ages of fossils contained within
those rocks.
Among the best-known techniques are radiocarbon dating,
potassium-argon dating and uranium-lead dating.
9.
Radioactive decay, alsoknown
as nuclear decay or radioactivity, is the
process by which a nucleus of an
unstable atom loses energy by emitting
radiation.
A material that spontaneously emits such
radiation — which includes Alpha
particles, Beta particles, Gamma rays —
is considered radioactive.
10.
• Isotopes arevariants of a particular element which differ
in Atomic Weight/ Mass/ Mass Number (Neutron + Proton),
but have the same Atomic number (Protons).
• The number of protons within the atom's nucleus is
called atomic number and is equal to the number of electrons.
• An atom of a given element may have a wide range in its
number of neutrons.
• Each isotope of a given element has a different Mass number.
• For example, Carbon-12, Carbon-13 and Carbon-14 are three
isotopes of the element carbon with mass numbers 12, 13 and
14 respectively. The atomic number of carbon is 6 , which
means that every carbon atom has 6 protons, so that the number
of neutrons in these isotopes are 6, 7 and 8 respectively.
11.
• Potassium naturallyoccurs in 3 isotopes:
• 39
K (93.2581% , 40
K (0.0117%) , 41
K (6.7302%)
• The 40
K isotope is radioactive; it decays with a half-life
of 1.248×109
years to 40
Ca and 40
Ar.
• K–Ar dating, is a radiometric dating method based on measurement of
the product of the radioactive decay of an isotope of potassium (K)
into argon (Ar). Potassium is a common element found in many
materials, such as micas, clay minerals, etc. In these materials, the decay
product 40
Ar is able to escape the liquid (molten) rock, but starts to
accumulate when the rock solidifies (recrystallizes).
• Time since recrystallization is calculated by measuring the ratio of the
amount of 40
Ar accumulated to the amount of 40
K remaining. The
long half-life of 40
K allows the method to be used to calculate
the absolute age of samples older than a few thousand years.
• The quickly cooled lavas make nearly ideal samples for K–Ar dating.
• Potassium-40 has a half-life of 1.3 billion years. It can be used to date
rocks older than 100,000 years.
12.
• Rubidium occursin nature as the isotopes 86
Rb and 87
Rb.
• The present relative abundance of these isotopes ie. 72.17%
86
Rb and 27.83% 87
Rb is the same in all rocks and minerals,
regardless of age.
• Apparently, these heavy isotopes were thoroughly mixed in the
primeval Earth and have not experienced fractionation since
then regardless of the geologic processes that have acted upon
them.
• Rb readily substitutes for K in micas and K-feldspar.
• Rocks and minerals that have high concentrations of K also tend
to have relatively high Rb, although the K/Rb ratio is not
uniform in all materials, ranging over more than four orders of
magnitude.
13.
• Strontium hasfour stable isotopes, 88
Sr, 87
Sr, 86
Sr, and 84
Sr,
whose relative abundance is 82.5%, 7.0%, 9.9%, and 0.6%,
respectively.
• But because 87
Sr is a decay product of 87
Rb, its exact
abundance in a rock or mineral depends not only upon the
amount of 87
Sr present when the material formed, but also
upon the concentration of Rb and the age.
• Materials rich in Rb, such as micas and alkali feldspars, will
obviously contain considerable 87
Sr, especially if they are old.
• As isotopic ratios are more accurately measured by mass
spectrometers than the absolute amount of a single isotope,
the abundance of 87
Sr is conventionally expressed as the ratio
87
Sr/86
Sr.
14.
• The numberof atoms of 86
Sr in a mineral is constant,
because it is a stable isotope not formed as a decay
product of any other naturally occurring radioactive
isotope.
• The relationships among the present day measurable
(87
Sr/86
Sr ) present ratio; the initial ratio (87
Sr/ 86
Sr)0, when
the rock or mineral formed at time zero; its present day
measurable 87
Rb/86
Sr ratio; the age in t years since the
formation of the rock or mineral at time zero; and the
decay constant λ for 87
Rb, is expressed by the equation
(87
Sr/86
Sr)present = (87
Sr/86
Sr)0 +(87
Rb/87
Sr)*(e λt
- 1)
15.
• This isa linear equation of the form y = mx +c
• A plot of x = 87
Rb/86
Sr and y = 87
Sr/86
Sr measured on separated
minerals from one igneous rock, or on a group of genetically related
whole rocks from a single igneous or metamorphic body that has
behaved as a closed system since t = 0, yields a straight line called
an isochron.
(87
Sr/86
Sr)present = (87
Sr/86
Sr)0 +(87
Rb/87
Sr)*(e λt
- 1)
The intercept (c) of the
isochron on the y axis is the
initial ratio (87
Sr/86
Sr)0.
From the slope of the line
m = (e λ t
- 1), the age of the
rock from the time of
crystallization can be
calculated.
16.
Limitations
• The rockmust not have undergone any
metasomatism (i.e. the chemical alteration of
a rock by hydrothermal and other fluids) which could
have disturbed the Rb-Sr system either thermally or
chemically.
• One of the major drawbacks of utilizing Rb and Sr to
derive a radiometric date is their relative mobility,
especially in hydrothermal fluids.
• Rb and Sr are relatively mobile alkaline elements and
as such are relatively easily moved around by the hot
hydrothermal fluids present during metamorphism
17.
URANIUM – LEADDATING METHOD
Uranium- Lead dating is one of the oldest and if done properly
one of the most accurate.
Uranium comes as two common isotopes: 235
U and 238
U.
Both are unstable and radioactive, shedding nuclear particles in a
cascade that doesn't stop until they become lead (Pb).
The two cascades are different—235
U becomes Pb207 (half life-
704 million years) and 238
U becomes 206
Pb (half life- 4.47 billion
years). 238
U can be used to date rocks older than 10 million years.
Lead atoms created by uranium decay are trapped in the crystal
and build up in concentration with time; helping us in dating.
The favourite mineral among U-Pb dates is zircon (ZrSiO4), for
several good reasons.
Uranium- lead dating works only for metamorphic and igneous
rocks.
18.
• Lead (Pb)has four stable isotopes: 204
Pb,
206
Pb, 207
Pb, 208
Pb. 204
Pb is entirely a
primordial nuclide and is not a radiogenic
nuclide.
• Lead isotopes Abundances
• 204
Pb 1% (non-radiogenic)
• 206
b 24%
• 207
Pb 23%
• 208
Pb 52%
• 206
Pb, 207
Pb and 208
Pb are decay products of U
and Th decay chains.
• 238
U ---› 206
Pb
• 235
U ---› 207
Pb
• 232
Th ---›208
Pb
• U-Pb isochron
• Use of a single decay scheme (usually 238
U
to 206
Pb) leads to the U–Pb isochron dating
method, analogous to the rubidium-
strontium dating method.
19.
• The methodwas developed in the late 1940s at the by Willard Libby.
• Carbon has Three Isotopes 12
C, 13
C and 14
C
• 99% of all natural carbon is 12
C (Stable)
• 13
C is also a stable nucleus. 1% of all natural carbon is 13
C .
• Carbon with 6 protons and 8 neutrons is called Carbon-14 (14
C).
• This is an unstable radioactive isotope. About 1 in 1012 carbon
atoms in the atmosphere is 14
C.
• The half-life of the decay of 14
C to nitrogen is 5730 years so the
concentration halves every 5730 years.
• Radiocarbon (14
C) is constantly being created in the atmosphere by
the interaction of cosmic rays with atmospheric nitrogen.
• Generation of radioactive 14
C occurs primarily in the upper
troposphere, but C (mostly as CO2 ) mixes thoroughly in the
atmosphere, and is incorporated into living organisms.
20.
• The proportionof 14
C to 12
C in living tissue is comparable with the
proportion in the atmosphere (for terrestrial organisms), or to a water
body for aquatic organisms.
• Animals get their 14
C dose from the food that they consume.
• When the animal or plant dies, it stops exchanging carbon with its
environment, and thereafter the amount of 14
C it contains begins to
decrease. It decays back to nitrogen (14
N) by emitting an electron.
• Measuring the amount of 14
C in a sample from a dead plant or animal,
such as a piece of wood or a fragment of bone, provides information that
can be used to calculate when the animal or plant died.
• By measuring 14C content, you can estimate how long ago the tissue
died.
• The older a sample is, the less 14
C there is to be detected, and because
the half-life of 14
C is about 5,730 years, the oldest dates that can be
reliably measured by this process date to approximately 50,000 years
ago, although special preparation methods occasionally make accurate
analysis of older samples possible.
21.
• Samples thatca be radiocarbon dated include
charcoal, wood, twigs, seeds, bones, shells, leather, peat,
lake mud, soil, hair, pottery, pollen, wall paintings,
corals, blood residues, fabrics, paper or parchment,
resins, and water, among others. Despite its usefulness,
radiocarbon dating has a number of limitations.
• It is assumed that the ratio of 12
C to 14
C has remained the
same since last 50,000 Years.
• First, the older the object, the less carbon-14 is there to
measure.
• Radiocarbon dating is therefore limited to objects that are
younger than 50,000 years.