derivations in quantum chemistry

The four numbers, which are required to specify the position and energy of an electron in an atom are called quantum numbers. These are - principal quantum number (n), angular quantum number (l), magnetic quantum number (m) and spin quantum number ..

Quantum Numbers - Schrodinger wave equation, when solved for hydrogen atom gives mathematical Y functions, which describe the allowed energy states in an atom. It is observed that physical meaningful solutions required three constants n, l and m, which are called quantum numbers..

Quantum Numbers - Orbitals of electrons in atoms differ in size shape and orientation. Definite energies and angular movements characterize atomic orbitals. The state of an electron in any atom is defined by certain permissible values of energy and angular momentum, which describe its loc..

Orbitals of electrons in atoms differ in size shape and orientation. Definite energies and angular movements characterize atomic orbitals. The state of an electron in any atom is defined by certain permissible values of energy and angular momentum, which describe its location with respect to ..

Quantum Mechanical Model of the Atom - Two new theories came to substantially modify Bohr's Atomic model. They a..

This quantum number determines the main energy level or shell in which an electron is present. It is usually denoted by n and can have any whole number value such as: n = 1, 2, 3, 4 .. etc. The various values of n as 1, 2, 3, 4 .etc., are also called K, L, M, N etc. If n = 1, the energy l..

Spin Quantum Number (s) - It is observed that the electron is not only revolving around the nucleus but it is also spinning on its own axis. The spin of the electron produces a small magnetic field as a result of which the electron behaves as a 'tiny magnet'. This quantum number..

It is observed that the electron is not only revolving around the nucleus but it is also spinning on its own axis. The spin of the electron produces a small magnetic field as a result of which the electron behaves as a 'tiny magnet'. This quantum number describes the spin orientatio..

Although the Lewis structures give an idea of the valence electrons around the atom, in reality it does not precisely locate the position of the electrons in the chemical bond. The behaviour of electrons in molecules and compounds is made by the valence bond theory in terms of the quantu..

The magnetic quantum number describes the behaviour of electron in a magnetic field. In the absence of external magnetic field electrons / orbitals having same values of 'n' and 'l' but different values on 'm' have the same energies. They are called degenerate orbitals. However, in the p..