Atomic structure - Quantum numbers

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A simple treatment on quantum numbers in Chemistry - atomic structure

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Slide 1 : www.saitechinfo.com Difference between an orbit and orbital 1. Atomic Hypothesis Orbit: It is a definite circular path in which the electron is supposed to revolve around the nucleus.

Slide 2 : www.saitechinfo.com Difference between an orbit and orbital 1. Atomic Hypothesis Orbital: It is the three dimensional region around the nucleus in which the probability of finding the electron is maximum.

Difference between an orbit and orbital : www.saitechinfo.com Difference between an orbit and orbital Orbit Definite path of electron around nucleus Circular path Can accommodate 2n2 electrons (n = order of the orbit from nucleus) Position and momentum of electron can be calculated at the same time Orbital It is the three dimensional region around the nucleus in which the probability of finding the electron is maximum. It has different 3 dimensional shapes. S – spherical, p – dump bell shaped Can accommodate maximum 2 electrons Not possible to find the exact position and momentum of electron at the same time 1. Atomic Hypothesis

Slide 4 : www.saitechinfo.com 2. Constituents of the atom ELECTRON: It is a negatively charged particle which occupies the space outside the nucleus in an atom. PROTON: It is a positively charged particles present in the nucleus of an atom. NEUTRON: It is a neutral particle of mass equal to the mass of proton.

Slide 5 : www.saitechinfo.com 3. Quantum numbers Designate and distinguish various atomic orbitals and electrons present in an atom Four quantum numbers Principal quantum number (n) Azimuthal quantum number (l) Magnetic quantum number (m) Spin quantum number (s)

Slide 6 : www.saitechinfo.com 3. Quantum numbers Principal quantum number Determines the energy shell in which the electron is revolving around the nucleus Denoted by ‘n’, n = {1, 2, 3, …} n =1 => K Shell n =2 => L Shell n =3 => M Shell n =4 => N Shell As n increases, the distance from the nucleus increases, its energy becomes higher an higher The maximum no. of electrons in a major energy level is given by 2n2

Slide 7 : www.saitechinfo.com 3. Quantum numbers Principal quantum number

Slide 8 : www.saitechinfo.com 3. Quantum numbers Azimuthal quantum number Represents the sub-shell Denoted by ‘l’ l = n -1 l = { 0, 1, 2, 3,..} If l = 0 => the electron is in the s orbital If l = 1 => the electron is in the p orbital If l = 2 => the electron is in the d orbital If l = 3 => the electron is in the f orbital

Slide 9 : www.saitechinfo.com 3. Quantum numbers Azimuthal quantum number

Slide 10 : www.saitechinfo.com 3. Quantum numbers Magnetic quantum number Represents the orientation of an atomic orbital in space Denoted by ‘m’ m = 2l +1 m = {-l, 0, +l) m = {…--2, -1, 0, +1, +2, ..} If l = -2 => the electron is in the dxy orbital If l = -1 => the electron is in the dyz orbital If l = 0 => the electron is in the dyz orbital If l = +1 => the electron is in the dx2 – y2 orbital

Slide 11 : www.saitechinfo.com 3. Quantum numbers Magnetic quantum number

Slide 12 : www.saitechinfo.com 3. Quantum numbers Spin quantum number Represents the direction of the spin of electrons Denoted by the symbol ‘s’ The electron may spin in the clockwise or anticlockwise direction S = +1/2 or -1/2 Parallel spin or Anti-parallel spin

Slide 13 : www.saitechinfo.com 3. Quantum numbers Spin quantum number

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