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What are the main features of quantum me...

What are the main features of quantum mechanical model of an atom?

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Quantum mechanical model of atom explains the motion of very minute particles which possess both particle and wave nature . Schrodinger's equation applies to these type of particles and it is given by `(del^(2)Psi)/(del^(2)x)+(del^(2)Psi)/(del^(2)y)+(del^(2)Psi)/(del^(2)z)+(8pi^(2)m)/(h^(2))(E-V)Psi=0`
Salient features of the quantum mechanical model of atom.
(1) The energy of an electron in an atom is quantised. It means, the electron can have only certain values of energy .
( 2) The energy levels in an atom are quantised , which are the allowed solutions of Schrodinger wave equation , applied for electron wave .
(3) All the information about the orbiting electron in atom is contained in the orbital wave function , `Psi`
( 4 ) The exact path of an electron cannot be determined accurately . we can only find the probability of the electron at different point in an atom .
(5) `Psi^(2)` is the probability density , which is always positive . feom the value of `Psi^(2)` at different points . within the atom , it is possible to find the ' orbital ' of electron .
Orbital is the three- dimensional space around the nucleus of an atom , where there is high probability of finding the electron.
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Knowledge Check

  • The basis of quantum mechanical model of an atom is

    A
    Angular momentum of electron
    B
    Qusntum numbers
    C
    Dual nature of electron
    D
    Black body radition
  • Who developed quantum mechanical model of atom ?

    A
    Erwin Schrodinger
    B
    Neil Bohr
    C
    Planck
    D
    Thomson
  • In Bohr model of atom :

    A
    the radius of nth orbit is proportional to `n^(2)`
    B
    the total energy of the electron in the `n^(th)` orbit is inversely proportional to n
    C
    the angular momentum of the electron in an orbit is an integral multiple of `(h)/(2pi)`
    D
    the magnitude of the potential energy of the electron in an orbit is greater than its kinetic energy
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