BOHR'S ATOMIC MODEL
The model is based on the quantum theory of radiation and the classical concept of physics. Postulate
(a) The path of electron is circular. The force of attraction between nudeus and electron is equal to
centrifugal force of the moving electron.
(b) Electron can revolve only in those orbits whose angular momentum is an integral multiple mvr = n.
( m = 1 mass of 2π electron, v velocity of electron, r h/(2pi)
(c) Electron remains in stationary orbit where it does not lose energy.
(d) Each stationary orbit is with definite amount of (E_{2} - E_{1}) > (E_{3} - E_{2}) > (E_{4} - E_{3}) and
E_{1} < E_{2} < E_{3} Similarly Medical IIT-JEE Fouried
Energy of Electron The Total energy (E) =K.E.+P.E.
E n =- 2pi ^ 2 * Z ^ 2 * m * c ^ 4 n^ 2 hbar^ 2 * k^ 2
where, n = 1, 2, 3
E = Energy of electron in nth orbit
Z = Nuclear charge
e = Charge of electron
E_{n} = E_{1} * (Z ^ 2)/(n ^ 2) for H-like atom H like atoms means atom which consists of one electron.
, E= - (21.79 * 10 ^ - 19 * Z ^ 2)/(n ^ 2) Jiatom 13.62 n² Z2 eV per atom = - (313.6Z ^ 2)/(n ^ 2) kcaVmol
1312xZ2 n² k.J/mol Potential energy = 2E Kinetic energy = - E Total energy E
Note: If an atom consists more than one electron, then we take shielding effect into account.
Radii of Orbits r = 0.529 * (n ^ 2)/Z * A For H-like atoms. Thus r_{n} = r_{1} * n ^ 2 Velocity of Electron v =
2.188 * 10 ^ 6 * Z/n * cm / s
Number of revolution per second
N = V/(2pi*r) = 6.6 * 10 ^ 15 * (Z ^ 2)/(n ^ 3)
Rydberg Equation
The wavelength (.), wave number (v) for the electromagnetic radiation can be calculated by Rydberg
equation. overline v = 1/lambda = R_{11} * Z ^ 2 * [1/(n_{1} ^ 2) - 1/(n_{2} ^ 2)]
Z =Atomic number
RH Rydberg constant = 109677 cm-1
n₂=Higher orbit
n,= Lower orbit
Total number of spectral lines
The model is based on the quantum theory of radiation and the classical concept of physics. Postulate
(a) The path of electron is circular. The force of attraction between nudeus and electron is equal to
centrifugal force of the moving electron.
(b) Electron can revolve only in those orbits whose angular momentum is an integral multiple mvr = n.
( m = 1 mass of 2π electron, v velocity of electron, r h/(2pi)
(c) Electron remains in stationary orbit where it does not lose energy.
(d) Each stationary orbit is with definite amount of (E_{2} - E_{1}) > (E_{3} - E_{2}) > (E_{4} - E_{3}) and
E_{1} < E_{2} < E_{3} Similarly Medical IIT-JEE Fouried
Energy of Electron The Total energy (E) =K.E.+P.E.
E n =- 2pi ^ 2 * Z ^ 2 * m * c ^ 4 n^ 2 hbar^ 2 * k^ 2
where, n = 1, 2, 3
E = Energy of electron in nth orbit
Z = Nuclear charge
e = Charge of electron
E_{n} = E_{1} * (Z ^ 2)/(n ^ 2) for H-like atom H like atoms means atom which consists of one electron.
, E= - (21.79 * 10 ^ - 19 * Z ^ 2)/(n ^ 2) Jiatom 13.62 n² Z2 eV per atom = - (313.6Z ^ 2)/(n ^ 2) kcaVmol
1312xZ2 n² k.J/mol Potential energy = 2E Kinetic energy = - E Total energy E
Note: If an atom consists more than one electron, then we take shielding effect into account.
Radii of Orbits r = 0.529 * (n ^ 2)/Z * A For H-like atoms. Thus r_{n} = r_{1} * n ^ 2 Velocity of Electron v =
2.188 * 10 ^ 6 * Z/n * cm / s
Number of revolution per second
N = V/(2pi*r) = 6.6 * 10 ^ 15 * (Z ^ 2)/(n ^ 3)
Rydberg Equation
The wavelength (.), wave number (v) for the electromagnetic radiation can be calculated by Rydberg
equation. overline v = 1/lambda = R_{11} * Z ^ 2 * [1/(n_{1} ^ 2) - 1/(n_{2} ^ 2)]
Z =Atomic number
RH Rydberg constant = 109677 cm-1
n₂=Higher orbit
n,= Lower orbit
Total number of spectral lines
