Probability provides the best possible description of a situation which cannot be described with certainty. ψ2 at any point gives the probability of finding the electron at that point ie. 1)The electrons in an atom have only quantized value of energy. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.. The aim is to put mathematical concepts and tech-niques like the path integral, algebraic techniques, Lie algebras and representation theory at the readers ​Quantum mechanics, as developed by Erwin Schrodinger in 1926, is based on the wave motion associated with the particles. Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. The values of the wave function Ψ are also obtained from the solution of Schrodinger Wave Equation. These values of energy are called eigen values. The wave function for an electron in an atom is called orbital wave function or atomic orbital.Since an electron can have any wave function ,therefore, there are many atomic orbitals in an atom. where ψ is the amplitude of the wave where the coordinates of the electrons are( x,y,z) ,E is the total energy of the electron, V is its potential energy, m is the mass of the electron and h is the Planck’s Constant. The corresponding value of ψ  are called wave functions. electron density at that point. Physical Chemistry Lecture Notes Quantum Mechanics, Spectroscopy, and Statistical Mechanics ... the flow of the proofs and the meaning of each formula and not worry about copying down each formula correctly for your notes. 3)The wave function Ψ is simply a function of coordinates of the electron and has no physical significance as such.ψ2  give the probability of finding the electron at that point ie. 2)These quantized values of energy are obtained from the solution of Schrodinger Wave Equation. For the wave motion of the electron in the three dimensional space around the nucleus, he put forward an equation known as Schrondinger wave equation. electron density at that point. 6)The orbital wave function contains all the information about an electron in an atom and the quantum mechanics helps to extract this information. The solution of Schrodinger wave equation for an electron in an atom gives the value of E and Ψ .The value of E represents the quantised value of energy which the electron in the atom can have. The corresponding values of wave functions ( Ψ ) are called eigen functions. She has started this educational website with the mindset of spreading Free Education to everyone. But many more emerging technologies require the understanding of quantum mechanics; and hence, it is important that scientists and engineers understand quantum mechanics better. The lecture notes section contains list of lecture topics for the course. When Schrodinger Wave Equation is solved for hydrogen atom, the solution gives possible values of the energy   ( E ) . Quantum mechanics is often thought of as being the physics of the very small as seen through its successes in describing the structure and properties of atoms and molecules – the chemical properties of matter – the structure of atomic nuclei and the properties of elementary particles. Your email address will not be published. These values of energy corresponds to the energy levels which the electron in an atom can occupy. Where H is a  mathematical operator ,called Hamiltonian operator. Notes on Quantum Chemistry These notes on Quantum Chemistry were written by Professor David Sherrill as a resource for students at the college through post-graduate level interested in quantum mechanics and how it is used in chemistry. Quantum mechanics, as developed by Erwin Schrodinger in 1926, is based on the wave motion associated with the particles. Quantum chemistry is a part of theoretical chemistry and physical chemistry concerned with the application of quantum physics to chemical problems: type and strength of chemical bonds, compound formation of atoms and molecules, conjugation, resonance, hybridization, aromaticity, the description of the electronic structure of atoms and molecules and the effects on their reactivity etc. Subscribe to the OCW … Filed Under: Chemistry, Class 11, Structure Of Atom Tagged With: eigen function, eigen values, electron cloud, Features of quantum mechanical model of atom, orbital, orbital wave function, probability, Schrondinger wave equation., Significance of the wave function, wave function. 4) By finding  ψ2  at different points around the nucleus in an atom, we can predict the region of space around the nucleus within which the probability of finding the electron with a definite value of energy is maximum. Features of quantum mechanical model of atom. Author of this website, Mrs Shilpi Nagpal is MSc (Hons, Chemistry) and BSc (Hons, Chemistry) from Delhi University, B.Ed (I. P. University) and has many years of experience in teaching. represents second derivative of Ψ w..r.t. x. One area is nano-technologies due to the recent advent of nano- Last Updated on March 20, 2019 By Mrs Shilpi Nagpal 2 Comments. For the wave motion of the electron in the three dimensional space around the nucleus, he put forward an equation known as Schrondinger wave equation. An atomic orbital may be defined as the three dimensional space around the nucleus within which the probability of finding an electron of given energy is maximum.

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