Detailed explanation of Rutherford’s Nuclear Model of Atom, Atomic Number and Mass Number,Isobars and Isotopes
Rutherford and his students (Hans Geiger and
Ernest Marsden) bombarded very thin gold
foil with α–particles. Rutherford’s famous
α–particle scattering experiment is
represented in Fig. 2.5. A stream of high
energy α–particles from a radioactive source
was directed at a thin foil (thickness ∼ 100
nm) of gold metal. The thin gold foil had a
circular fluorescent zinc sulphide screen
around it. Whenever α–particles struck the
screen, a tiny flash of light was produced at
that point.
The results of scattering experiment were
quite unexpected. According to Thomson
model of atom, the mass of each gold atom in
the foil should have been spread evenly over
the entire atom, and α– particles had enough
energy to pass directly through such a
uniform distribution of mass. It was expected
that the particles would slow down and
change directions only by a small angles as
they passed through the foil. It was observed
that :
(i) most of the α– particles passed through
the gold foil undeflected.
(ii) a small fraction of the α–particles was
deflected by small angles.
(iii) a very few α– particles (∼1 in 20,000)
bounced back, that is, were deflected by
nearly 180°
.
On the basis of the observations,
Rutherford drew the following conclusions
regarding the structure of atom :
(i) Most of the space in the atom is empty
as most of the α–particles passed
through the foil undeflected.
(ii) A few positively charged α– particles were
deflected. The deflection must be due to
enormous repulsive force showing that
the positive charge of the atom is not
spread throughout the atom as Thomson
had presumed. The positive charge has
to be concentrated in a very small volume
that repelled and deflected the positively
charged α– particles.
(iii) Calculations by Rutherford showed that
the volume occupied by the nucleus is
negligibly small as compared to the total
volume of the atom. The radius of the
atom is about 10–10 m, while that of
nucleus is 10–15 m. One can appreciate
this difference in size by realising that if
a cricket ball represents a nucleus, then
the radius of atom would be about 5 km.
On the basis of above observations and
conclusions, Rutherfor d proposed the
nuclear model of atom (after the discovery of
protons). According to this model :
(i) The positive charge and most of the mass
of the atom was densely concentrated
in extremely small region. This very small
portion of the atom was called nucleus
by Rutherford.
(ii) The nucleus is surrounded by electrons
that move around the nucleus with a
very high speed in circular paths called
orbits. Thus, Rutherford’s model of atom
resembles the solar system in which the
nucleus plays the role of sun and the
electrons that of revolving planets.
(iii) Electrons and the nucleus are held
together by electrostatic forces of
attraction
2. Atomic Number and Mass Number
The presence of positive charge on the
nucleus is due to the protons in the nucleus.
As established earlier, the charge on the
proton is equal but opposite to that of
electron. The number of protons present in
the nucleus is equal to atomic number (Z ).
For example, the number of protons in the
hydrogen nucleus is 1, in sodium atom it is
11, therefore their atomic numbers are 1 and
11 respectively. In order to keep the electrical
neutrality, the number of electrons in an
atom is equal to the number of protons
(atomic number, Z ). For example, number of
electrons in hydrogen atom and sodium atom
are 1 and 11 respectively.
Atomic number (Z) = number of protons in
the nucleus of an atom
= number of electrons
in a nuetral atom (2.3)
While the positive charge of the nucleus
is due to protons, the mass of the nucleus,
due to protons and neutrons. As discussed
earlier protons and neutrons present in the
nucleus are collectively known as nucleons.
The total number of nucleons is termed as
mass number (A) of the atom.
mass number (A) = number of protons (Z)
+ number of
neutrons (n)
3. Isobars and Isotopes
The composition of any atom can be
represented by using the normal element
symbol (X) with super-script on the left hand
side as the atomic mass number (A) and
subscript (Z) on the left hand side as the
atomic number
Isobars are the atoms with same mass
number but different atomic number for
example, ⁶C¹⁴ and ⁷N¹⁴. On the other hand,
atoms with identical atomic number but
different atomic mass number are known as
Isotopes. In other words (according to
equation 2.4), it is evident that difference
between the isotopes is due to the presence
of different number of neutrons present in
the nucleus. For example, considering of
hydrogen atom again, 99.985% of hydrogen
atoms contain only one proton. This isotope
is called protium( ¹H¹). Rest of the percentage
of hydrogen atom contains two other isotopes,
the one containing 1 proton and 1 neutron
is called deuterium (
¹D², 0.015%) and the
other one possessing 1 proton and 2 neutrons
is called tritium (¹T³). The latter isotope is
found in trace amounts on the earth. Other
examples of commonly occuring isotopes are:
carbon atoms containing 6, 7 and 8 neutrons
besides 6 protons
atoms containing 18 and 20 neutrons besides
17 protons.
Lastly an important point to mention
regarding isotopes is that chemical properties
of atoms are controlled by the number of
electrons, which are determined by the
number of protons in the nucleus. Number of
neutrons present in the nucleus have very
little effect on the chemical properties of an
element. Therefore, all the isotopes of a given
element show same chemical behaviour.
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