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Slater’s rule
Dr. Mithil Fal Desai
Shree Mallikarjun and Shri Chetan
Manju Desai College Canacona Goa
Why energy required
to remove electron
from an atom does
not continuously
increases with the
atomic number?
Z n Z2/n2
1 1 1
2 1 4
3 2 2.25
4 2 4
5 2 6.25
6 2 9
7 2 12.25
8 2 16
9 2 20.25
A) Average radius of 2s
orbital is greater
than 1s.
A) 2s electrons are
repelled by 1s
electrons.
Nucleus
e-
Example
e-
1s 2s 2px 2pz2py
Electronic configuration of Nitrogen is 1s2, 2s2, 2p3
Nitrogen (Z=7) Is charge
experienced by all
electron is 7?
Nucleus
Nitrogen is 1s2, 2s2, 2p3
Estimate the extent of shielding:
Slater’s Rules
Step 1- Write the electron configuration of the atom in the following order:
(1s) (2s, 2p) (3s, 3p) (3d) (4s, 4p) (4d) (4f) (5s, 5p) …., etc
Step 2- Identify the electron of interest and ignore all electrons in higher (higher energy levels) groups as the electrons
in higher energy levels will not contribute to shielding of lower energy group electrons.
Step 3- Slater's Rules are classified as follows
A) Shielding experienced by an s and p electrons.
All the electrons within same group shield 0.35.
All the electrons within the n-1 group shield 0.85
All the electrons within the n-2 or lower groups shield 1.00
B) Shielding experienced by nd and nf valence electrons
All the electrons within same group shield 0.35
All the electrons within the lower groups shield 1.00
Shielding constant can be calculated
where,
ni is the number of electrons in a specific shell /subshell
Si is the shielding of the electrons subject to Slater's rulesS=∑ niSi
Numerical
• Calculate the Zeff on valance electron of Nitrogen.
Atomic number is 7.
Electronic configuration-1s2,2s2, 2p3
(1s)2 (2s, 2p)5 (3s, 3p)0
S=∑ niSi
S = (2 X 0.85) + (4 X 0.35)
S= 3.10
Zeff= Z-S
Z= 7.0 - 3.1= 3.9

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Slater rules

  • 1. Slater’s rule Dr. Mithil Fal Desai Shree Mallikarjun and Shri Chetan Manju Desai College Canacona Goa
  • 2. Why energy required to remove electron from an atom does not continuously increases with the atomic number? Z n Z2/n2 1 1 1 2 1 4 3 2 2.25 4 2 4 5 2 6.25 6 2 9 7 2 12.25 8 2 16 9 2 20.25
  • 3. A) Average radius of 2s orbital is greater than 1s. A) 2s electrons are repelled by 1s electrons. Nucleus e- Example e-
  • 4. 1s 2s 2px 2pz2py Electronic configuration of Nitrogen is 1s2, 2s2, 2p3 Nitrogen (Z=7) Is charge experienced by all electron is 7?
  • 6. Estimate the extent of shielding: Slater’s Rules Step 1- Write the electron configuration of the atom in the following order: (1s) (2s, 2p) (3s, 3p) (3d) (4s, 4p) (4d) (4f) (5s, 5p) …., etc Step 2- Identify the electron of interest and ignore all electrons in higher (higher energy levels) groups as the electrons in higher energy levels will not contribute to shielding of lower energy group electrons. Step 3- Slater's Rules are classified as follows A) Shielding experienced by an s and p electrons. All the electrons within same group shield 0.35. All the electrons within the n-1 group shield 0.85 All the electrons within the n-2 or lower groups shield 1.00 B) Shielding experienced by nd and nf valence electrons All the electrons within same group shield 0.35 All the electrons within the lower groups shield 1.00 Shielding constant can be calculated where, ni is the number of electrons in a specific shell /subshell Si is the shielding of the electrons subject to Slater's rulesS=∑ niSi
  • 7. Numerical • Calculate the Zeff on valance electron of Nitrogen. Atomic number is 7. Electronic configuration-1s2,2s2, 2p3 (1s)2 (2s, 2p)5 (3s, 3p)0 S=∑ niSi S = (2 X 0.85) + (4 X 0.35) S= 3.10 Zeff= Z-S Z= 7.0 - 3.1= 3.9