Everything about Bohr’s Model of An Atom

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In this post we will discuss about Bohr’s model of an atom, Bohr-Bury scheme, how to write electronic configuration of an element and nuclear composition.

Rutherford’s nuclear model of atom, although a great contribution to the science, could not explain certain observations. A brilliant description of atomic structure was proposed by Neil Bohr in 1913.

What are the postulates of Bohr’s atomic model?

The main postulate of Bohr’s atomic model are:

  • In an atom, electrons revolve around the nucleus in certain definite circular paths called orbits or shells.
  • Each shell or orbit corresponds to a definite energy. Therefore, these circular orbits are also known as energy levels or energy shells.
  • The orbits or energy levels in an atom are characterized by an integer n, where n can have values 1,2,3,4…. The integer n is called the quantum number of the respective shell (orbit). The orbits are numbered as 1,2,3,4,… starting from the nucleus side. Thus, the orbit for which n=1 is the lowest energy level.

The orbits corresponding to n=1,2,3,4,….are also designated as K, L, M, N,…. shells. When the electron is in lowest energy level, it is said to be in ground state. Since, electrons can be present only in these orbits, hence, these electrons can only have energies corresponding to these energy levels, i.e., electrons in an atom can have only certain permissible energies.

How are the electrons arranged in an atom? (The Bohr-Bury scheme)

According to the Bohr atomic model, the electrons revolve around the nucleus in certain orbits or shells. These electrons are distributed in various orbits or shells according to a scheme proposed by Bohr and Bury. The Bohr and Bury scheme gives the following rule for the distribution of electrons in various orbits or shells.

  • The m aximum number of electrons which can be accommodated in a given orbit is given by the formula 2n2
    , where n is the quantum number of the orbit. Thus,
nDesignation of orbitMaximum number of electrons (2n2)
1K2
2L8
3M18
4N32
  • The outermost orbit can have at most 8 electrons, and the next inner to the outermost (penultimate) can have at the most 18 electrons (if permissible in accordance with the rule).
  • It is not always necessary to fill up an orbit completely before starting the next higher orbit.

How to write the electronic configuration of an element?

The electronic configuration of an element is defined as follows:

A stepwise distribution of electrons in different orbits (energy levels) of an atom is called its electronic configuration.

To write the electronic configuration of an element, one should proceed as follows:

  • Find out the total number of electrons present in an atom of that element.
  • Fill these electrons in the various orbits one by one in the order of increasing energy according to 2n2 rule, i.e., the shell with the lowest energy is filled first and then the orbits of the increasing energies are filled.
  • Then write the numerals denoting the number of electrons in various shells starting with the lowest. Each numeral is separated from the other by a comma.

For example, lithium, atomic number 3, has 3 electrons in its atom. According to the 2n2 rule:

The shell corresponding to n=1 (K-shell) will have 2 electrons and the shell corresponding to n=2 (L-shell) will have 1 electron. Therefore, the electronic configuration of lithium is 2,1.

The distribution of electrons in various orbits, and the electronic configuration in the notation form for the first 18 elements are presented in table below:

Atomic NumberName and symbol of elementK
(n=1)
L
(n=2)
M
(n=3)
N
(n=4)
Electronic configuration notation
1Hydrogen (H)11
2Helium (He)22
3Lithium (Li)212,1
4Beryllium (Be)222,2
5Boron (B)232,3
6Carbon (C)242,4
7Nitrogen (N)252,5
8Oxygen (O)262,6
9Fluorine (F)272,7
10Neon (Ne)282,8
11Sodium (Na)2812,8,1
12Magnesium (Mg)2822,8,2
13Aluminium (Al)2832,8,3
14Silicon (Si)2842,8,4
15Phosphorous (P)2852,8,5
16Sulphur (S)2862,8,6
17Chlorine (Cl)2872,8,7
18Argon (Ar)2882,8,8
19Potassium (K)28812,8,8,1
20Calcium (Ca)28822,8,8,2
Electronic Configuration of first 20 elements

Nuclear Composition : Atomic Nucleus

Nuclear composition of any atom can be expressed in terms of number of neutrons and protons inside its nucleus. Scientifically, the composition of a nucleus is described in terms of atomic number (Z) and mass number (A).

What is atomic number?

In 1931, Moseley introduced an atomic parameter called atomic number. The atomic number of an element is denoted by Z, and can have only one integral value. According to him,

The atomic number is equal to the nuclear charge. The charge on the nucleus of an atom is equal to the number of protons inside its nucleus. So, the atomic number of an element is equal to number of protons present inside the nucleus of an atom, i.e.,

Atomic number (Z) = Number of proton inside the nucleus

An atom has no net charge on it. So, in an atom, the total number of electrons is equal to the number of protons inside the nucleus. Thus, in an atom, the total number of electron is equal to atomic number of that element.

What is mass number?

The mass number of an element is denoted by A. The mass number of an element is equal to the sum of number of protons (P) and number of neutrons (N).

Thus,

Mass Number = Number of protons + Number of neutrons

i.e., A=P+N

Since, the number of protons (P) inside the nucleus of an atom is equal to the atomic number (Z) of that element. So,

Mass Number (A) = Atomic Number (Z) + Number of neutrons (N)

i.e., A=Z+N

The mass number (A) and atomic number (Z) of an element are shown as superscript and subscript respectively, on left side of the symbol of the that element, or the other way as given below, e.g., if A is the atomic mass and Z is the atomic number of an element X, then the atom of X may be denoted as,

representation of symbol of an element, bohr's model of an atom
Representation of symbol of an element

How to determine the number of electrons, protons and neutrons in an atom?

From the knowledge of the atomic number and mass number of an element, one can determine the number of electrons, protons and neutrons in an atom of that element as follows:

For an atom, number of electrons = number of protons

and number of protons = Atomic number

Therefore, for an atom,

Number of electrons = Atomic Number

Also, Mass Number (A) = Number of protons (P) + Number of neutrons (N)

or, Mass Number (A) = Atomic Number (Z) + Number of neutrons (N)

This gives,

Number of neutrons (N) = Mass Number (A) – Atomic Number (Z).

The nuclear composition of first 18 elements are represented as given below:

Symbol of elementName of elementAtomic Number (Z)Mass Number (A)No. of electronsNo. of protonsNo. of neutrons
1H1Hydrogen11110
2He4Helium24222
3Li7Lithium37334
4Be9Beryllium49445
5B11Boron511556
6C12Carbon612666
7N14Nitrogen714777
8O16Oxygen816888
9F19Fluorine9199910
10Ne20Neon1020101010
11Na23Sodium1123111112
12Mg24Magnesium1224121212
13Al27Aluminium1327131314
14Si28Silicon1428141414
15P31Phosphorous1531151516
16S32Sulphur1632161616
17Cl35Chlorine1735171718
18Ar40Argon1840181822
19K39Potassium1939191920
20Ca40Calcium2040202020
Nuclear Composition of first 20 elements. Mass number is written at top-right and atomic number at bottom-left of the symbol.

Read More: Anode rays and discovery of proton & neutron

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