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Title: Atomic Structure
Description: Description: This detailed summary covers the essential concepts of Atomic Structure, focusing on atomic theory, historical atomic models, and quantum mechanics. Key topics include Dalton’s Atomic Theory, Rutherford’s and Bohr’s Models, quantum numbers, electron configuration, atomic spectra, and the Schrödinger equation. Ideal for students preparing for high school/undergraduate courses in Physics and Chemistry, this resource provides a clear understanding of atomic principles, models, and the quantum mechanical description of atoms. Perfect for revision and exam preparation. Subject: Physics, Chemistry Course: Atomic Structure, Quantum Mechanics Year: High School (Class 11-12) & 1st Year University
Description: Description: This detailed summary covers the essential concepts of Atomic Structure, focusing on atomic theory, historical atomic models, and quantum mechanics. Key topics include Dalton’s Atomic Theory, Rutherford’s and Bohr’s Models, quantum numbers, electron configuration, atomic spectra, and the Schrödinger equation. Ideal for students preparing for high school/undergraduate courses in Physics and Chemistry, this resource provides a clear understanding of atomic principles, models, and the quantum mechanical description of atoms. Perfect for revision and exam preparation. Subject: Physics, Chemistry Course: Atomic Structure, Quantum Mechanics Year: High School (Class 11-12) & 1st Year University
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2
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The word ‗atom‘ has been derived from the Greek word ‗a-tomio‘ which means ‗uncutable‘or
‗non-divisible‘
...
J
...
Thomson, in 1898, proposed that an atom possesses a spherical shape (radius approximately
10–10 m) in which the positive charge is uniformly distributed
...
2
...
Many different names are given to this model, for example, plum pudding, raisin pudding
or watermelon
...
Rutherford’s Nuclear Model of Atom:
a) Most of the space in the atom is empty as most of the a–particles passed through the foil
undeflected
...
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
...
c) Calculations by Rutherford showed that the volume occupied by the nucleus is negligibly
small as compared to the total volume of the atom
...
d) On the basis of above observations and conclusions, Rutherford proposed the nuclear
model of atom (after the discovery of protons)
...
This very small portion of the atom was called nucleus by Rutherford
...
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
...
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4
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the nucleus is equal
to atomic number (Z )
...
e
...
Protons and neutrons present in the nucleus are collectively known as nucleons
...
mass number (A) = number of
protons (Z) + number of neutrons (n)
6
...
On the other hand, atoms with identical atomic number but different atomic mass number
are known as Isotopes
...
g
...
Drawbacks of Rutherford Model According to the electromagnetic theory of Maxwell, charged
particles when accelerated should emit electromagnetic radiation (This feature does not exist for
planets since they are uncharged)
...
The orbit will thus continue to shrink
...
But this
does not happen
...
8
...
5)
...
It is
defined as the number of wavelengths per unit length
...
e
...
9
...
Hertz performed a very interesting experiment in which electrons (or electric current) were
ejected when certain metals (for example potassium, rubidium, caesium etc
...
The phenomenon is called Photoelectric effect
...
Planck’s quantum theory
...
(ii) Each packet is called quantum
...
The energy of
quantum is directly proportional to the frequency (v) of the radiation
...
Its value is 6
...
11
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Atoms, molecules or ions that have absorbed radiation are said to be ―excited‖
...
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12
...
A
continuum of radiation is passed through a sample which absorbs radiation of certain
wavelengths
...
Line Spectrum of Hydrogen: When an electric discharge is passed through gaseous hydrogen,
the H2 molecules dissociate and the energetically excited hydrogen atoms produced emit
electromagnetic radiation of discrete frequencies
...
Series
n1
n2
Spectral region
Lyman
1
2,3……
Ultraviolet
Balmer
2
3,4………
Visible
Paschen
3
4,5……
...
Infrared
Pfund
5
6,7……
...
Bohr’s Model For Hydrogen Atom
a) The electron in the hydrogen atom can move around the nucleus in a circular path of fixed
radius and energy
...
These orbits are arranged concentrically around the nucleus
...
The angular
momentum of an electron in a given stationary state can be expressed as in equation
c) The energy of an electron in the orbit does not change with time
...
The energy change does not take place
in a continuous manner
...
Bohr‘s theory can also be applied to the ions containing only one electron, similar to that present
in hydrogen atom
...
The energies of the stationary states
associated with these kinds of ions (also known as hydrogen like species) are given by the
expression
16
...
This model is also unable to explain the spectrum of atoms other than hydrogen, for
example, helium atom which possesses only two electrons
...
17
...
e
...
18
...
:de Broglie relation state that the wavelength associated with a moving
object or an electron is inversely proportional to the momentum of the particle
...
mv
p
19
...
It is not possible to determine the position and velocity
simultaneously for a sub-atomic particle like electron at any given instant to an arbitary degree of
precision
...
If
‗ x‘ is uncertainty in position and ‗ P‘ is uncertainty in momentum then
x
...
Orbital
...
21
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They are used to get complete information about electron, i
...
, location,
energy, spin, etc
...
22
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It specifies the location and energy of an electron
...
It is denoted by ‗n‘
...
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It is also called ‗azimuthal quantum number‘
...
It is denoted by ‗l‘
...
, upto n–1
...
e
...
, if value of n is 4, l can have values
0, 1, 2, 3
...
24
...
mvr l (l 1)
h
2
It is denoted by ‗m‘ and its value depends on value of ‗l‘ since
magnetism is due to angular momentum
...
e
...
Its permitted values
are - l to + l including zero, e
...
, when l = 1, then m = -1, 0, +1
...
25
...
It indicates, the direction in which electron revolves
...
It has two permitted values + ½ or – ½
...
26
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In case two sub-shell has equal value of (n+l),
the sub-shell with lower value of n has lower energy
27
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No two electrons in an atom can have all the four quantum
numbers same
...
28
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Electrons are filled in the various orbitals in the increasing order of their
energies, i
...
, orbital having lowest energy will be filled first and the orbital having highest
energy will be filled last
...
Hund’s rule of maximum multiplicity
...
g
...
30
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It has been found that there is extra stability(Stability of
Completely Filled and Half Filled Subshells) associated with these electronic configurations
...
Three orbitals of 2p subshell (2px, 2py, and 2pz orbitals)
...
Five orbitals of 3d subshell (3dxy, 3dyz, 3dzx 3dx2-y2and 3dx2 orbitals)
Title: Atomic Structure
Description: Description: This detailed summary covers the essential concepts of Atomic Structure, focusing on atomic theory, historical atomic models, and quantum mechanics. Key topics include Dalton’s Atomic Theory, Rutherford’s and Bohr’s Models, quantum numbers, electron configuration, atomic spectra, and the Schrödinger equation. Ideal for students preparing for high school/undergraduate courses in Physics and Chemistry, this resource provides a clear understanding of atomic principles, models, and the quantum mechanical description of atoms. Perfect for revision and exam preparation. Subject: Physics, Chemistry Course: Atomic Structure, Quantum Mechanics Year: High School (Class 11-12) & 1st Year University
Description: Description: This detailed summary covers the essential concepts of Atomic Structure, focusing on atomic theory, historical atomic models, and quantum mechanics. Key topics include Dalton’s Atomic Theory, Rutherford’s and Bohr’s Models, quantum numbers, electron configuration, atomic spectra, and the Schrödinger equation. Ideal for students preparing for high school/undergraduate courses in Physics and Chemistry, this resource provides a clear understanding of atomic principles, models, and the quantum mechanical description of atoms. Perfect for revision and exam preparation. Subject: Physics, Chemistry Course: Atomic Structure, Quantum Mechanics Year: High School (Class 11-12) & 1st Year University