Important Atomic structure Formulas for JEE and NEET

 Page 1


  
Planck's Quantum Theory :
Energy of one photon = h?  =
?
hc
Photoelectric Effect :
h? = h?
0
 + 
2
1
m
e
?
2
Bohr?s Model for Hydrogen like atoms :
1. mvr = n 
? 2
h
(Quantization of angular momentum)
2. E
n
 = ? 
2
1
n
E
 z
2
 = ?2.178 × 10
?18
 
2
2
n
z
 J/atom  =   ?13.6 
2
2
n
z
eV
E
1
 = 
2
4 2
n
me 2? ?
3. r
n
 = 
Z
n
2
 × 
m e 4
h
2 2
2
?
 = 
Z
n 529 . 0
2
?
 Å
4. v = 
nh
ze 2
2
?
 = 
n
z 10 18 . 2
6
? ?
 m/s
De?Broglie wavelength :
? = 
p
h
mc
h
?
(for photon)
Wavelength of emitted photon :
?
1
 = ? = 
?
?
?
?
?
?
?
?
?
?
?
2
2
2
1
2
n
1
n
1
RZ
PHYSICAL CHEMISTRY
ATOMIC STRUCTURE
Page 2


  
Planck's Quantum Theory :
Energy of one photon = h?  =
?
hc
Photoelectric Effect :
h? = h?
0
 + 
2
1
m
e
?
2
Bohr?s Model for Hydrogen like atoms :
1. mvr = n 
? 2
h
(Quantization of angular momentum)
2. E
n
 = ? 
2
1
n
E
 z
2
 = ?2.178 × 10
?18
 
2
2
n
z
 J/atom  =   ?13.6 
2
2
n
z
eV
E
1
 = 
2
4 2
n
me 2? ?
3. r
n
 = 
Z
n
2
 × 
m e 4
h
2 2
2
?
 = 
Z
n 529 . 0
2
?
 Å
4. v = 
nh
ze 2
2
?
 = 
n
z 10 18 . 2
6
? ?
 m/s
De?Broglie wavelength :
? = 
p
h
mc
h
?
(for photon)
Wavelength of emitted photon :
?
1
 = ? = 
?
?
?
?
?
?
?
?
?
?
?
2
2
2
1
2
n
1
n
1
RZ
PHYSICAL CHEMISTRY
ATOMIC STRUCTURE
  
No. of photons emitted by a sample of H atom :
2
) 1 n ( n ? ? ?
Heisenberg?s uncertainty principle :
?x.?p > 
? 4
h
or m ?x.?v ? 
? 4
h
or ?x.?v ? 
m 4
h
?
Quantum Numbers :
* Principal quantum number (n) = 1, 2, 3, 4 .... to ?.
* Orbital angular momentum of electron in any orbit  = 
? 2
nh
.
* Azimuthal quantum number (?) = 0, 1, ..... to (n ? 1).
* Number of orbitals in a subshell = 2? + 1
* Maximum number of electrons in particular subshell = 2
 
× (2? + 1)
* Orbital angular momentum L = 
? 2
h
 ) 1 ( ? ? ? = ? ) 1 ( ? ? ?
?
?
?
?
?
?
?
?
2
h
?