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Modern atomic Theory with solved problems
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Chapter One Review of Atomic Theory of Matter
Prepared by: Welelaw Y.
Outline: Introduction Atomic Models Quantum Mechanics Electron Configuration Atomic Bonding Band Theory of Solids
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Atomic Number (Z):
This is a fundamental property of the atom and denoted by Z.
The atomic number of an element is numerically equal to the number of protons present in the nucleus.
We must note that all the atoms of the same element possess the same atomic number which identifies the position of the element in the periodic table of elements.
A normal atom is electrically neutral and hence the number of protons and electrons are equal.
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For example, an iron atom contains 26 protons ( Z = 26 ) and hence the balancing electrons are also 26. Obviously, 26 specifies the position of the iron element in the periodic table of elements. Mass Number (A): The mass number is equal to the sum of the number of protons and neutrons. The mass number is usually denoted by A. A Number ofprotons Number ofneutrons
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In most cases atoms of a given element do not all have the same mass. Atoms that have the same atomic number but different mass numbers are called isotopes. For example, there are three isotopes of hydrogen. One, simply known as hydrogen , has one proton and no neutrons. The deuterium isotope has one proton and one neutron, and tritium has one proton and two neutrons.
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The accepted way to denote the atomic number and mass number of an atom of element X is as follows:
Thus, for the isotopes of hydrogen, we write:
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Example-1: Find the number of protons, neutrons, and electrons in each of the following species:
3065 2
(^189)
(^10847)
(^19579)
.
.
.
.
d Zn
c F
b Ag
a Au
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Solution: a. The atomic number of Au (gold) is 79 , so there are 79 protons. The mass number is 195 , so the number of neutrons is 195 - 79 = 116. The number of electrons is the same as the number of protons, i. e., 79. b. The atomic number of Ag (silver) is 47 , so there are 47 protons. The mass number is 108 , so the number of neutrons is 108 - 47 = 61. The number of electrons is 47 - 1 = 46.
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A model is a simplified approximation of reality. Scientific models are simplified but useful representations of something real. There are five basic atomic models. These are: i. Dalton’s Model (1808) ii. Thomson’s Model (1904) iii. Rutherford’s Model (1911) iv. Bohr’s Model (1913) v. Quantum Mechanical Model (present)
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Dalton’s Model (1808):
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iv. The electrons possess vibratory motion about their equilibrium position and cause emission of light.
The atom is electrically neutral.
Fig. Thomson’s plum-pudding atomic model
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Thomson’s proof for the existence of electrons in an atom was a major achievement and an essential prerequisite for the subsequent theories of atomic structure. By using different materials for the filament wire, Thomson established that the same value is always obtained for the charge to mass ( e/m ) ratio of the electron. Thomson’s model could account for the periodicity in elements, spectral lines existence of ions and kinetic theory of gases.
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Fig. Rutherford's Alpha-Scattering Experiment
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Rutherford’s Interpretation of the Experimental Results