S09 L04 Concept
S09 L04 Concept
Atom Is Divisible
Do you recall Dalton’s atomic theory? Dalton postulated in his theory that an atom
is indivisible. However, the later discoveries of protons and electrons proved this to be
erroneous.
In 1886, while carrying out an experiment in a gas discharge tube, E. Goldstein discovered
positively charged radiations which led to the discovery of the subatomic particles called
protons. Later, in 1897, J. J. Thomson discovered another type of subatomic particle—the
negatively charged electron. Consequent to these discoveries, an atom was no longer
indivisible; rather, it became a sum total of differently charged subatomic particles.
Many scientists performed varied experiments to develop different models for the
structure of an atom. The first such model was proposed by J. J. Thomson. His atomic model
is compared to a plum pudding and a watermelon; hence, it is known by the names ‘the
plum-pudding model’.
2. The negative and positive charges present inside an atom are equal in magnitude.
Therefore, an atom as a whole is electrically neutral.
Cathode Rays
J.J Thomson discovered that there are small particle present in the atom and that atom is
divisible. J.J Thomson and his colleagues conducted experiments using discharge tube
apparatus.
A discharge tube apparatus consists of a glass tube of about 15 cm length and 3 cm in
diameter, filled with gas at low pressure. The tube is connected with the vacuum pump and
two metal electrodes are fitted to the ends of the tube.
Low pressure was created inside the tube and high voltage was applied to the electrodes of
the tube. This produced greenish glow at the anode end of the tube. The greenish glow at
anode was produced due to the emission of the streams of rays from the cathode. These
rays are known as cathode rays. Cathode rays will emit with blue glow.
When J.J Thomson placed a light paddle wheel inside the tube in the path of the cathode
rays, the wheel started rotating. This led him to conclude that cathode rays are particulate
in nature.
When J.J Thomson applied an electric field in the direction parallel to the path of cathode
rays , he observed that the rays were deflected towards the anode.
This observation led to the conclusion that cathode rays are negatively charged.
When the above experiment was conducted with different gases, same observation were
made and he named these negatively charged particles as electrons.
An electron is lighter than hydrogen atom and has very small mass in comparison to the
mass of an atom.
Thus, J.J Thomson’s experiment and discovery of electron proved that atom is divisible and
is made up of sub – atomic particles.
Know Your Scientist
Sir Joseph John Thomson (1856−1940) was a British physicist. He is known for the
discovery of electrons and for his model of an atom, popularly known as ‘the plum-pudding
model’. He received the Nobel Prize in Physics in 1906 for discovering electrons and for his
research on conduction in gases. In 1912, while working on the composition of canal rays,
he and his colleague (F. W. Aston) found the first evidence for isotopes of neon.
Eugen Goldstein (1850−1930) was a German physicist. He is known for the discovery of
canal rays which led to the discovery of protons. He also investigated comets using gas
discharge tubes. His experiments established that a small object (like a ball) placed in the
path of cathode rays produces emissions, flaring outward just like in case of a comet’s tail.
   After J.J Thomson’s discovery of atom another question arose that: if electrons are
   present inside the atom, then how is atom electrically neutral? Does this mean that
   there are positively charged particle also present inside the atom?
   To find out the answers to such questions, Goldstein conducted an experiment similar to
   that of J.J Thomson’s but with some modifications, for example he used perforated cathode
   in the discharge tube.
   It was observed during the experiment that some rays were travelling in the direction
   opposite to that of cathode rays. Goldstein named these rays as anode rays.
   When he applied an electric field in the direction parallel to that of the rays he observed
   that rays deflected towards cathode, thereby he concluded that anode rays are positively
   charged.
   However, the deflection of anode rays in the discharge tube was found to be very less than
   that of cathode rays, because the emission of cathode rays was not dependent on the nature
   of the gas taken in the discharge tube. The deflection was seen highest for the hydrogen
   gas, when taken in the discharge tube.
   The positive particles of hydrogen were found to be lightest and were named protons.
   Their mass is approximately equal to 1840 times that of electron. This mass is assumed
   as 1 atomic mass unit. The charge on a proton (+1) is equal to charge on an electron in
   magnitude (-1).
   The plum-pudding model of an atom was unable to explain the findings of Rutherford’s
   experiment while studying radioactivity.
   In an experiment with gold foil, Rutherford bombarded the gold foil with alpha particles.
   With Thomson’s model as the basis, Rutherford expected small deviations; however, his
   findings were different from what was expected.
   As we go further into this lesson, we will learn more about Rutherford’s gold-foil
   experiment, his observations and his conclusions. We will also learn about the atomic
   model that he came up with on the basis of his conclusions.
1. A thin gold foil, approximately 1000 atoms thick, was taken. Gold was chosen for its high
   malleability.
2. A detector screen with a small slit (for emission of radiation from the atom) was placed
   around the foil.
3. A source of alpha particles was kept in front of the foil.
4. The foil was bombarded with fast-moving alpha particles.
   Rutherford expected that the alpha particles would pass straight through the foil and only a
   small fraction of alpha particles would be deflected. This expectation was in compliance
   with Thomson’s atomic model.
1. Most of the fast-moving alpha particles passed straight through the gold foil.
3. One out of every 12000 particles rebounded, i.e., they got deflected by an angle of 180°.
Rutherford then carefully studied his observations and made the following conclusions.
1. Most alpha particles passed through the gold foil without any deflection. This indicates that
   most of the space inside an atom is empty.
2. Very few particles suffered a deflection from their path. This means that positive charge
   occupies very little space inside an atom.
3. Only a small fraction of particles underwent a 180° deflection. This shows that the entire
   positive charge and mass of an atom are present within a very small volume inside the
   atom.
   Based on his conclusions in the gold-foil experiment, Rutherford devised his own atomic
   model. The major features of Rutherford atomic model or the nuclear model of an
   atom are as follows:
1. An atom consists of a nucleus at its centre and all the protons are present inside this
   nucleus.
2. Electrons reside outside the nucleus and revolve around the nucleus in well-defined orbits.
3. The size of the nucleus is very small as compared to the size of the atom. As per
   Rutherford’s calculations, the nucleus is 105 times smaller than the atom.
4. Since the mass of the electrons is negligible as compared to the mass of the protons, almost
   all the mass of the atom is concentrated in its nucleus.
   Know Your Scientist
   Ernest Rutherford (1871−1937) was a British chemist and physicist. He is known as ‘the
   father of nuclear physics’. He discovered radioactive half-life. He proved that alpha
   radiations are nothing but helium ions. He was awarded the Nobel Prize in Chemistry in
   1908 for his work on ‘the disintegration of elements’ and ‘the chemistry of radioactive
   substances’. He was the first scientist to split an atom in a nuclear reaction. The element
   ‘rutherfordium’ (atomic number 104) is named after him.
   Solved Examples
Hard
Example 1:
What would have been observed if neutrons had been used to bombard the gold foil?
1. The observations of the experiment would have remained the same in spite of the
   change in the nature of the bombarding particles.
2. The neutrons would have suffered no deflection from the subatomic particles.
3. All the neutrons would have been absorbed by the gold atoms.
4. All the neutrons would have rebounded.
   Solution:
     The correct answer is B.
     Neutrons do not carry any charge; so, they do not suffer any repulsion. Hence, if neutrons
     had been used to bombard the gold foil, no deflection would have occurred. It is also
     possible that some neutrons would have been absorbed by the nucleus.
Medium
Example 2:
State whether the following statements are true (T) or false (F).
1. Increasing the energy of the alpha particles will lead to more deflection.____
2. Speed of the alpha particles can be increased by increasing their energy.____
3. Use of aluminium sheet will lead to the same result as in case of gold foil.____
Solution:
1. T: Increasing the energy of the alpha particles will cause them to strike closer to the
   nucleus. Consequently, they will suffer greater deflection.
2. T: The kinetic energy of the alpha particles is directly related to their velocity. So,
   increasing their energy will result in an increase in the speed of the particles.
3. F: The positive charge on the nucleus in case of an aluminium foil is much smaller as
   compared to that on the gold nucleus. So, the result will vary.
Easy
Example 3:
Solution:
1. An atom consists of a nucleus at its centre and all the protons are present inside this
   nucleus.
2. Electrons reside outside the nucleus and revolve around the nucleus in well-defined orbits.
3. The size of the nucleus is very small as compared to the size of the atom. As per
   Rutherford’s calculations, the nucleus is 105 times smaller than the atom.
4. Since the mass of the electrons is negligible as compared to the mass of the protons, almost
   all the mass of the atom is concentrated in its nucleus.
   Rutherford also noticed that the actual mass of the nucleus was much more higher than the
   sum of the masses of protons and electrons. This lead him to predict that nucleus contains
   some kind of neutral particle whose mass must be equal to that of proton.
   This was experimentally proved by James Chadwick in the year 1932. He proved that
   nucleus of atom contains an additional neutral particle and called them neutrons. The
   mass of these neutrons is equal to that of protons.
   In the late nineteenth century, scientists researched on the dispersal of white light into its
   constituent seven colours—known as the spectrum.
   The spectrum was used for analyzing newly discovered elements. It was observed that this
   spectrum was different for different elements.
   Now, the above observation could not be explained using Rutherford’s model of an atom.
   Thus, Niels Bohr made some modifications to Rutherford’s model. The modified atomic
   model of Niels Bohr is also known as the shell model of an atom.
    1. Only certain special orbits,known as discrete orbits of electrons, are allowed inside the
    atom.
2. While revolving in the discrete orbits, the electrons do not radiate energy.
    3. An electron can jump from one orbit to another by absorbing or emitting a fixed amount
    of energy in the form of radiation.
    Bohr named these orbits as energy levels. These orbits (or shells) are represented by the
    letters K, L, M, N…, or the numbers n = 1, 2, 3, 4….
   the electrons are arranged and distributed in the extra-nuclear space of the atom.
   the atom attains stability due to the presence of energy levels around the nucleus, in which
    the electrons revolve without radiating energy.
   each energy shell can accommodate only a fixed number of electrons.
   the filling of a shell begins only when the preceding shell has been completely filled.
   this gives the atom a shell-like structure.
    Let us see how the electrons are distributed in different orbits in an atom. Bohr, along with
    Charles R. Bury, suggested certain rules to show this electronic distribution. These rules
    (known as the Bohr−Bury scheme of electronic configuration) have to be followed while
    writing the electronic configuration of an atom.
1. The maximum number of electrons in a shell is given by the formula 2n2, where n is the
   orbit number or the energy level index (i.e., 1, 2, 3…).
     Orbit            Names of the         Numbers of electrons in the
     numbers          shells               shells
     1                K-shell              2 × (1)2 = 2
2 L-shell 2 × (2)2 = 8
3 M-shell 2 × (3)2 = 18
4 N-shell 2 × (4)2 = 32
2. The maximum number of electrons that can be accommodated in the outermost shell is 8.
3. The filling of the shells takes place in a stepwise manner. First, one shell is filled
   completely, then the next shell, and so on.
Solved Examples
Medium
Example 1:
1. Electrons go around the nucleus based on the strength of the force of attraction
   extended by the nucleus.
2. Electrons lose energy while travelling in orbits around the nucleus.
3. The energy shells can accommodate only a fixed number of electrons.
4. The energy of the shells is continuous.
Solution:
   Only certain special orbits, known as discrete orbits of electrons, are allowed inside the
    atom.
   While revolving in the discrete orbits, the electrons do not radiate energy.
   The energy shells can accommodate only a fixed number of electrons.
   The energy of the shells is discrete, and not continuous.
Easy
    Example 2: An element has 12 electrons. How many energy shells does this element
    possess?
1.   1
2.   2
3.   3
4.   4
     According to the Bohr−Bury scheme, each energy shell can accommodate 2n2 electrons,
     where n is the energy number. In case of any element, the electrons are distributed as
     shown in the table.
      Shells Energy             Numbers of electrons in the
             numbers            shells
      K      1                  2 × (1)2 = 2
L 2 2 × (2)2 = 8
M 3 2 × (3)2 = 18
     Now, the given element has 12 electrons. So, the K-shell fills first with 2 electrons. The
     remaining 10 electrons are divided among the L-shell and the M-shell as follows: 8 in the L-
     shell and 2 in the M-shell. Thus, the element has a total of 3 energy shells.
Hard
Example 3:
1.   2, 8, 7
2.   2, 6, 9
3.   2, 10, 5
4.   2, 7, 8
Solution:
     According to the Bohr−Bury scheme, each energy shell can accommodate 2n2 electrons,
     where n is the energy number. In case of any element, the electrons are distributed as
     shown in the table.
      Shells Energy               Numbers of electrons in the
             numbers              shells
 K        1                   2 × (1)2 = 2
L 2 2 × (2)2 = 8
M 3 2 × (3)2 = 18
Now, the given element has 17 electrons. So, the K-shell fills first with 2 electrons. The
remaining 15 electrons are divided among the L-shell and the M-shell as follows: 8 in the L-
shell and 7 in the M-shell. Thus, the electronic configuration for the element is 2, 8, 7.
Electronic Configuration of Atoms
Bohr postulated that electrons can move from one shell to another by absorbing or
emitting energy in the form of radiation. Let us understand this phenomenon.
As you know, in Bohr’s atomic model, electrons are arranged in energy shells and each of
these shells has a fixed amount of energy. The electrons residing in a particular shell
possess the characteristic energy of the shell. The energy of an electron remains constant
as long as it remains in a particular energy level.
K<L<M<N
Excitation of electrons:
An electron lying in a lower energy shell absorbs energy from incident light to gain energy
corresponding to that of the adjacent higher energy level. This is shown in the figure.
De-excitation of electrons:
An electron lying in a higher energy shell emits energy in the form of electromagnetic
radiation to lose energy corresponding to that of the adjacent lower energy level. This is
shown in the figure.
The emitted radiation may lie in any region of the electromagnetic spectrum, depending
upon the frequency of the radiation.
Sub-Shells in an Atom:
Further research on atomic structure indicated that the energy shells K, L, M, N, etc., are
further divided into sub-shells of different shapes and energies. The division of shells into
sub-shells is as follows:
 N (4th)            s, p, d, f
    In an atom, these sub-shells are arranged in order of increasing energy and are filled
    successively
Discovery of Neutrons:
    A hydrogen atom contains only one electron and one proton. It does not have any neutron
    in its nucleus. The removal of the electron from the atom leaves behind the single-proton-
    containing nucleus; so, H+ is sometimes referred to as simply ‘proton’.
    Know Your Scientist
    Neils Bohr (1885−1962) was a Danish physicist. He made major contributions to the
    understanding of the atomic structure and quantum mechanics. He was awarded the Nobel
    Prize in Physics in 1922. He is credited with developing the planetary model of an atom.
    While working on quantum mechanics, he postulated that electrons jump from one energy
    level to another by absorbing or emitting discrete amounts of energy. He also identified the
    uranium isotope U-238.
James Chadwick (1891−1974) was a British physicist. He is credited with the discovery
of neutrons, for which he received the Nobel Prize in Physics in 1935. He was part of the
Manhattan Project in the US and helped in the development of the atomic bombs that were
dropped on Hiroshima and Nagasaki during the Second World War.
Atomic Number and Mass Number
Atomic Number and Mass Number
In the 1830s, representation of elements and compounds was a major concern for
chemists.
Many symbolic notations for elements were devised during this period. Gradually, the
representations became standardized. Currently, the general symbolic notation for an
element is:
. Now, take for example the specific symbolic notations for oxygen and nitrogen.
Wondering what these symbolic notations represent? Go through this lesson to find out.
You know that the symbolic notation of oxygen is     . In this notation, the letter ‘O’
symbolises the element ‘oxygen’; the number ‘16’ represents the mass number of oxygen;
and the number ‘8’ indicates the atomic number of oxygen.
Thus, in the general symbolic notation of an element              , the letter ‘E’ is the symbol of
the element, the letter ‘A’ is its mass number, and the letter ‘Z’ is its atomic number.
The atomic number is the number of protons present in the nucleus of an atom. It is
denoted by Z.
The total number of the protons and the neutrons present in the nucleus of an atom is
known as mass number. It is denoted by A.
     Hence, the number of neutrons can be calculated if the atomic number and mass number of
     an element are known.
     An atom of sodium contains 11 protons and 12 neutrons. Can you calculate the mass
     number of a sodium atom?
     An atom of carbon is represented as      . Can you tell the number of neutrons and
     protons present in carbon atom?
     It is seen from the symbolic notation of carbon that the atomic number and mass number of
     carbon atom is 6 and 12 respectively.
     Since the number of protons is equal to the atomic number of that element. Thus, the
     number of protons present in a carbon atom is 6.
Solved Examples
Easy
1.   Na
2.   N
3.   So
4.   S
     The symbol of sodium is Na. It is derived from the Latin name for the element, i.e.,
     ‘natrium’.
     Example 2: What is the atomic number of an element having five protons and six
     neutrons?
1.   11
2.   9
3.   6
4.   5
Solution:
     The atomic number of an element is the number of protons or electrons present in an atom
     of the element. Since an atom of the given element has five protons, its atomic number is 5.
Medium
1.   45
2.   50
3.   55
4.   60
We know that:
Mass number = 89
Number of protons = 39
So,
89 = 39 + Number of neutrons
     Hard
     Example 4: What is the symbol of the element having 22 neutrons and 40 as its mass
     number?
1.   Al
2.   Mg
3.   Ar
4.   Ca
Mass number = 40
Number of neutrons = 22
We know that:
So,
40 = Number of protons + 22
Also,
     Argon is the element having 18 as its atomic number and 40 as its mass number. The
     symbol of argon is Ar.
     Did You Know?
    Water is the major constituent of the human body. It is made up of two elements: hydrogen
     and oxygen.
    Almost all the mass of our body is made up of the following six elements.
1.   Oxygen (65%)
2.   Carbon (18%)
3.   Hydrogen (10%)
4.   Nitrogen (3%)
5.   Calcium (1.5%)
6.   Phosphorus (1%)
   Some of the other elements found in our body are:
   Sulphur (0.25%)
   Sodium (0.15%)
   Magnesium (0.05%)
   Zinc (0.7%)
Whiz Kid
The elements are arranged in the rows or periods by order of increasing atomic number.
    The elements in the columns or groups display similar chemical and physical properties.
    This feature of the periodic table makes it easy to study the vast number of elements.
    Isotopes
    In 1910, Frederick Soddy recorded the existence of elements having different atomic
    masses to show similar properties. These elements came to be known as isotopes.
    Isotopes are defined as atoms of same element having the same atomic number, but
   different mass numbers. These atoms contain an equal number of protons and electrons,
   but a different number of neutrons.
   For example, in nature, hydrogen is found in three forms with different mass numbers,
   namely protium (11H), deuterium(12H), and tritium ( 13H). These are the three naturally
   occurring isotopes of hydrogen. The atomic number of each isotope is 1, but the mass
   number varies i.e. it is 1, 2, and 3 respectively. Some other examples of isotopes include C-
   12 and C-14, which are isotopes of carbon, and Cl-35 and Cl-37, which are isotopes of
   chlorine.
   However, it was F. W. Aston who, in 1919, discovered various stable isotopes for a number
   of elements. In that year, he was successful in proving the existence of two isotopes of
   neon:
   neon-20 and neon-22.
   The isotopes of an element are species with different numbers of neutrons but the same
   numbers of protons and electrons.
   We know that the atomic mass of an element is the sum total of its protons and neutrons.
   Now, in case of an element having isotopes, the number of neutrons does not remain fixed.
   The atomic mass of such an element includes the atomic masses of its isotopes. This gives
   rise to the term ‘average atomic mass’. The average atomic mass of an element with
   isotopes takes into account the atomic masses of all its isotopes with respect to their
   abundance in nature.
Applications of Isotopes
   Isobars
     Isobars are elements having the same mass number but different atomic numbers. Take,
     for example,             . They have the same mass number (i.e., 13) but different atomic
     numbers (i.e., 6 and 7).
     One can also say that isobars have an equal number of nucleons but different numbers of
     protons, neutrons and electrons.
1.
2.
Isotones
Isotones are atoms of different elements having the same number of neutrons.
1.
2.
3.
Solved Examples
Easy
Example 1: Which of the following atomic pairs are isotopes of each other?
     A.
     B.
     C.
     D.
Solution:
     Isotopes are those species of the same element which possess the same number of protons
     but different numbers of neutrons. In other words, isotopes have the same atomic number
but different atomic masses. Among the given pairs, only          is an atomic pair
with the same number of protons
Medium
Example 2:
A.   10%
B.   12%
C.   14%
D.   16%
Solution:
Let us take:
M = 24.3
m1 = 24 and p = 78.7%
m2 = 25
   m3 = 26 and r = 11.2%
   Radioactivity is the phenomenon wherein the nucleus of an unstable atom loses energy
   after emitting ionized particles or radiations. In this process, the original atom transforms
   into a new stable atom.
   In nature, there are many unstable isotopes that emit radiations. The common types of
   radiations are:
1. Alpha radiation
1. It consists of a stream of positively charged particles that are generally helium ions, having
   atomic mass as 4 and carrying a +2 charge.
2. It results in a decrease in atomic number by 2 and a decrease in mass number
   by 4.
2. Beta radiation
3. Gamma radiation
1. It is a photon (packet of light) with very high energy.
2. It does not result in a change in either atomic number or mass number.