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
Which of the following hydrocarbons has the lowest dipolemoment? Give explanation. (1) Trans-2-butene (2) 2-butyne (3) 1-butyne (4) But-1-en-3-yne
 
 
Dipole moment (μ) is the measure of net molecular polarity, trans 2 butene has a dipole moment of 0 because the presence of each CH3 group on the opposite side cancels each other effect
  img
Sunil Kumar FP one month ago
 
Dipole moment (μ) is the measure of net molecular polarity, trans 2 butene has a dipole moment of 0 because the presence of each CH3 group on the opposite side cancels each other effect
  img
Sunil Kumar FP one month ago
In Chemical Bonding , One Type Formation Of Covalent Bond Occurs By Overlapping Of Atomic Orbitals {Sigma} (s-s , s-p ,p-p ) ,Taking Z-Axis As Reference Axis , The Order Of Stability Is :[...
 
 
her HF hs the highest bond dissociation energy because of two factors (1)electronegativity difference (2)hydrogen bonding next consider the size factor sizo of H2<F2 molecule hence larger...
  img
Sunil Kumar FP one month ago
 
Thank You For Your Answer Sir , But According To Your ?Statement And Applies Chemistry : “What Will Be The Answer Of The Question : Arrange The Following In Decreasing Order Of Stability ::...
 
Arpit one month ago
1.Total no of spectral lines in UV region during transition from 5 th excited state to 1 st excited state 2.Ratio of spin angular momentum to orbital angular momentum of a 4s electron
 
 
1. UV region refers to lyman series ..according to question, transition is from 5 th excited state to 1 st excited state.. that means, from n=6 to n=2 . but, the transition from n=6 to n=2...
 
stenly 25 days ago
How to convert ethyne to ethane?
 
 
Hydrogentaion of ethyne by raney nickel (H2/Ni) will give ethane.
 
Shivam 20 days ago
 
`by heating
 
neelesh gautam 20 days ago
what is quantum number?
 
 
A large number of orbitals are possible in a atom.Qualitatively these orbitals are distinguished by their size,shape and orientation.The atomic orbitals are precisively distinguished by what...
 
BAYANA SAGAR one year ago
 
qutanum no tells us about the shape and orientation of an electron according to quantum mechanics......there are 4 sets of quantum number that are principal quantum no(n) = it determines the...
 
pulkit 7 months ago
 
quantum numbers are called the address of electrons...4 quantum numbers-principal quantum number(n),azimuthal quantum number(l),magnetic quantum number(m) and spin quantum number(s).n tells...
 
Prabir Saha one year ago
most important topics in alcohols phenols ethers!!??
 
 
1.First in order to get the basic idea of the compounds study the classification of organic compounds as alcohols,phenols and ethers. 2.Practise IUPAC nomenclature of the compounds.Bond...
  img
Aarti Gupta 22 days ago
View all Questions »