Unit 13 Models of the
Atom
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Early Models The idea that matter was
made up of particles has been around for a long time. Democritus, a
philosopher in ancient By the 17th and
18th centuries, scientists were performing experiments that
provided evidence that matter was particulate in nature. Joseph Gay-Lussac
discovered that gases react in simple whole number ratios. For example 2
volumes of hydrogen gas react with one volume of oxygen gas to produce 2
volumes of water vapor. The simple whole number ratios seemed to be explained
best by proposing that the gases were made up of particles. The two volumes
of hydrogen contain wice as pany particles as one volume of oxygen. Amadeo
Avogadro interpreted these results to mean that equal volumes of any gas at
the same temperature and pressure contain the same number of particles. In the early 1800’s,
John Dalton proposed four principles about the nature of matter: 1) All matter is made up of tiny indivisible particles
called atoms. * 2) An element is made up of atoms that are all
identical.* 3) Different matter consists of different kinds of
atoms. 4) Elements combine in simple whole number ratios to
form compounds (Law of Definite Proportions).When compounds are broken down,
the combined elements are recovered. JJ Thomson: Connecting Electricity and Matter Matter and electricity
were originally thought of as being two separate materials. The first
connection between the two was made by JJ Thomson in the 1880s. Thomson
studied cathode rays made from a cathode ray tube. The cathode rays
originated from a hot plate exposed to a negative charge. These rays were
actually extremely small particles. These particles were deflected by a
magnetic field in such a way as to confirm that they were negatively charged.
These particles were named electrons. Not long after, canal rays were discovered.
These were deflected in the exact opposite direction as cathode rays and were
identified as positive particles. JJ Thomson’s model
of the atom was called the plum pudding model. He proposed that electrons
were embedded in a “pudding” of protons. Rutherford’s Experiment: The Nuclear Atom Thomson’s discovery
of electrons and protons added much new detail to the model of the atom.
Ernest Rutherford wanted to know more about the internal structure of the
atom. In about 1900, he devised an experiment that he hope would give him
more detail about the internal structure of the atom. The results of his
experiment were very important in developing the modern day model of the
atom. If the gold atoms were
like Thomson’s model, the alpha particles would have blasted through
without any deflection or reflection. The small amount of deflection and
reflection suggested that the alpha particles were on occasion, slamming into
a very dense positive charge. This led 1) The atom is mostly empty space. (The majority of
alpha particles passed through unhindered.) 2) The atom has a very small, dense, positively
charged nucleus surrounded by electrons in a planetary orbit. The nucleus
contained the protons. (The deflection was caused by the repulsion between
the positive alpha particle and positive nucleus.) Neutrons and Isotopes A third subatomic
particle, called the neutron, was discovered just a few years later. Up to
this point our model of the atom is a nucleus containing positively charged
protons and neutral neutrons. Nearly all of the mass resides in the nucleus.
Negatively charged electrons surround the nucleus.
The idea that all atoms of
an element are the same had to be modified somewhat with the discovery of
different varieties of atoms of the same element. It turns out that all atoms
of a particular element have the same number of protons and electrons but can
have different numbers of neutrons. The result is some are heavier and some
are lighter. Some examples: Carbon comes in three
isotopes:
The average atomic mass
depends on the mass of each isotope and its relative abundance.
Carbon’s average atomic mass is 12.011, not 13, due to the higher abundance
of the C – 12 isotope. |
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The Nucleus, Binding
Energy and Nuclear Forces The nucleus is incredibly small and
compact, filled with protons and neutrons. Because the protons are positively
charged, it seems that they would not “want” to stay together
because of the repulsion of like charges. When protons and neutrons get close
together, a nuclear binding force overcomes the electrostatic repulsion
between the protons and holds the nucleus together. The total mass of a nucleus is always
slightly less than the sum of the masses of all the protons and neutrons. This
discrepancy is called the mass defect (Dm).
For example:
Mass He nucleus = 4.002603
amu
Sum of 2 protons + 2 neutrons = 4.0032980 amu
Dm =
0.030377 amu Why is there a discrepancy? The He nucleus
is more stable and therefore has less energy than 2 protons and 2 neutrons
not incorporated into a nucleus. Since the nucleus has less energy than the 4
nucleons, there must be a release of energy when the nucleus is formed.
Energy and mass are related by the equation E = mc2 developed by
Einstein in his theory of special relativity. Some of the mass of the
nucleons is converted into energy and released upon formation of the nucleus.
This energy is referred to as the Binding Energy. Total Binding Energy (TBE) can be calculated by multiplying the mass defect
by 931.5 MeV / amu
TBE = Dm x 931.5 MeV / amu The binding energy per nucleon can be
calculated by dividing the TBE by the number of nucleons ( #p + #n)
BE / nucleon = TBE
/ (#p + #n) Atoms with a high binding energy per
nucleon are more stable than atoms with a low binding energy per nucleon. What
determines the stability of an atom?
1) Binding energy per nucleon 2) Even and odd numbers of nucleons. · 57.8 % of all
the stable nuclides have even numbers of both protons and neutrons. · 40.7 % of all
the stable nuclides have either even numbers of protons or neutrons. · Only 1.5 % of
all of the stable nuclides have odd number of both protons and neutrons. 3) For elements 1 - 20,
nuclides with equal numbers of neutrons and protons are stable. For larger |
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