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
Copper exists in face centered cubic lattice with unit cell edge of 361pm . What is the size of the largest atom , which would fit into ocathedral voids without disturbimg the lattice
 
 
Copper exists in face centered cubic lattice with unit cell edge of 361pm . What is the size of the largest atom , which would fit into ocathedral voids without disturbimg the lattice in the...
  img
Sunil Kumar FP 12 days ago
 
As the copper crystallises in FCC.therefore edgelength=a=361pm The radius of copper atom is 4RCu=sqrt2 a=Rcu=sqrt2 a/4=108.3 pm here the largest size of atom that can be fitted into...
  img
Sunil Kumar FP 12 days ago
why solubility of nitrates of alkali metals increases from top to bottom
 
 
all alkali metal nitrate are soluble in water.solubilty decrease because hydration energy decreases on going down bottom thanks and regards sunil kr askIITian faculty
  img
Sunil Kumar FP 2 months ago
**FOR A GIVEN ANION, WHY DOES THE COVALENT CHARACTER INCREASE WITH A DECREASE IN SIZE OF THE CATION?
 
 
Covalent character is in accordance with fajans rules. The covalent character is more either when polarizing power of cation is more. But the polarizing power of cation is more when its...
  img
Ramreddy 3 days ago
Bond angle of hydrides of group 15 decreases from top to bottom . Why?
 
 
. All hydrides are pyramidal in shape. The bond angle decreases on moving down the group due to decrease in bond pair–bond pair repulsion.NH3 PH3 AsH3 SbH3 BiH3 107O 94O 92O 91O 90O
  img
Sunil Kumar FP one month ago
The ratio of difference int he wavelengths of 1 st and 2 nd lines of lyman seres in H-like atim of difference in wavelength for 2 nd and 3 rd lines of same series is - 2.5:1 3.5:1 4,5:1...
 
 
1/λ = 1.097 x 10^7 ( 1 - 1/n^2) n=2 => 1/λ = 1.097 x 10^7(1 - 1/4) = 0.82275 x 10^7 per m => λ = 1.215 x 10^(-7) m ------------eq(1) n=3 => 1/λ = 1.097 x...
  img
Sunil Kumar FP one month ago
View all Questions »