What is the wave mechanical model of atom?

5 years ago

Share

Answers : (1)

                                        

Wave Mechanical Model of Atom (Schrodinger wave equation)


Erwin Schrodinger in 1926 developed the model which is based on the particle and wave nature of the electron is known as wave mechanical model of the atom. The equation determines the behaviour of the wave function that describes the wavelike properties of a subatomic system. It relates kinetic energy and potential energy to the total energy, and it is solved to find the different energy levels of the system. Schrödinger applied the equation to the hydrogen atom and predicted many of its properties with remarkable accuracy. The differential equation is:

                              





Where x is the coordinates m is the mass of the electron and E is the total energy of the electron. V= potential energy of the electron; h= Planck’s constant and 






wave function of electron.




Schrödinger's equation results in a series of so called wave functions, represented by the letter (psi). Although has no actual physical meaning, the value of 2 describes the probability distribution of an electron.


The sum of the probabilities over all values of V must be 1 and is called the normalization condition:




                     

For one particle (such as an electron) of mass (m) in one-dimension, the Schrödinger Equation is:





Significance of   ??When we solve the Schrödinger equation it is observed that for some regions of space the value of is positive and for other it is negative. But the probability must be positive so it is proper to use ψ2 in place of .


Significance of 2 :- It is the probability factor. It describes the probability of finding an electron within a space. we can compute energy of electron with a given

The important point of the solution of this equation is that it provides a set of numbers called quantum numbers. These numbers describe the energies of the electrons in atoms, information about shapes and orientations is also known with the help of these numbers.

For hydrogen wave function,

 Number of radial nodes = n-l-1.

5 years ago

Post Your Answer

More Questions On Physical Chemistry

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
If supposing the ko value of a reaction is 10 Atm at 300K and 4atm at 400K. Then how can we say that the difference between the heat of reaction at constant pressure and that at constant...
 
 
Here if you observe Kp is decreasing with increasing temperature that means that reaction is exothermic. Backward reaction is favoured. The incorrect statement is B i.e. The rate of forward...
  img
Ramreddy 19 days ago
The vapour density of a mixture containing NO2 and N2O4 is 38.3 at 300K. The number of moles of NO2 in 100g of the mixture is … ?
 
 
The vapor density of a gas is the density of that gas relative to that of hydrogen gas. Therefore, Vapor density = (density of NO2/N2O4 mixture)/ (density of H2 gas) Vapor density = (mass of...
  img
Sunil Kumar FP 2 months ago
in page 38 bansal module of mole the amount of h2so4 is 98 how is it 60 then
 
 
the question is incomplete.......and the weight of H2SO4 is 98 not 60....it may be the eqvivalent weight
 
bhavik 10 hours ago
Wat is diiferentiating electrons????
 
 
Accourding to me differentiating electron is usually the one that is easily removed when forming ions.
 
Ashwin one month ago
Which of these reactions are in IIT syllabus? 1.Micheal Addition 2.Benzoin Condensation 3.Bayer Villager Oxidation 4.Wittig Reaction 5.Tischenko Reaction 6.Beckmann Rearrangement...
 
 
Hi Student, All the name reactions listed by you are present in IIT syllabus. You should go through these name reactions wery well as these are very important. you must know the mechanism of...
  img
sumit kumar 2 months ago
i need any tips to memorize inorganic chemistry
 
 
Hello Student. You have asked a very important question. But the answer is , There is no need to memorize it. You should try to understand the concepts of inorganic chemistry. It is not...
  img
sumit kumar 2 months ago
View all Questions »