The period and group number of an element in the periodic table can be determined from its electronic configuration using specific rules for s-, p-, d-, and f-block elements. These rules depend on the principal quantum number (n), the distribution of electrons in the outermost orbitals, and the block to which the element belongs. Knowing these rules is essential for solving periodic table questions in Class 11 Chemistry, JEE, and NEET.
๐ Rules to Find Period and Group Number in the Periodic Table
The modern periodic table is arranged in periods (horizontal rows) and groups (vertical columns) according to increasing atomic number (Z).
For any element, you can determine its period and group by looking at its electronic configuration.
1๏ธโฃ s-Block Elements
General Electronic Configuration: ns1โ2
- Period Number Rule:
Period = value of n (principal quantum number) of the outermost shell. - Group Number Rule: Number of ns electrons)
- If ns1 โ Group 1 (Alkali metals)
- If ns2 โ Group 2 (Alkaline earth metals)
Example 1: Sodium (Na), Z = 11
- Configuration: 1sยฒ 2sยฒ 2pโถ 3sยน
- Outer shell: n = 3 โ Period 3
- nsยน โ Group 1
Example 2: Calcium (Ca), Z = 20
- Configuration: 1sยฒ 2sยฒ 2pโถ 3sยฒ 3pโถ 4sยฒ
- Outer shell: n = 4 โ Period 4
- nsยฒ โ Group 2
2๏ธโฃ p-Block Elements
General Electronic Configuration: ns2np1โ6
- Period Number Rule:
Period = value of n in the outermost shell. - Group Number Rule (for main group elements):
Group = 10 + (total electrons in ns + np orbitals of outermost shell).
Example 1: Nitrogen (N), Z = 7
- Configuration: 1sยฒ 2sยฒ 2pยณ
- Outer shell: n = 2 โ Period 2
- Group = 10 + (2 + 3) = 15
Example 2: Chlorine (Cl), Z = 17
- Configuration: 1sยฒ 2sยฒ 2pโถ 3sยฒ 3pโต
- Outer shell: n = 3 โ Period 3
- Group = 10 + (2 + 5) = 17
Example 3: Oxygen (O), Z = 8
- Configuration: 1sยฒ 2sยฒ 2pโด
- Outer shell: n = 2 โ Period 2
- Group = 10 + (2 + 4) = 16
3๏ธโฃ d-Block Elements (Transition Metals)
General Electronic Configuration: (nโ1)d1โ10ns0โ2
- Period Number Rule:
Period = value of n in the outermost ns orbital. - Group Number Rule:
Group = (electrons in (nโ1)d) + (electrons in ns).
Example 1: Iron (Fe), Z = 26
- Configuration: [Ar] 3dโถ 4sยฒ
- n = 4 โ Period 4
- Group = 6 (d-electrons) + 2 (s-electrons) = Group 8
Example 2: Copper (Cu), Z = 29
- Configuration: [Ar] 3dยนโฐ 4sยน
- n = 4 โ Period 4
- Group = 10 + 1 = Group 11
Example 3: Chromium (Cr), Z = 24 (exception)
- Configuration: [Ar] 3dโต 4sยน
- n = 4 โ Period 4
- Group = 5 + 1 = Group 6
4๏ธโฃ f-Block Elements (Inner Transition Metals)
General Electronic Configuration: (nโ2)f1โ14(nโ1)d0โ2ns2
- Period Number Rule:
Period = n of the outermost ns orbital.- Lanthanides โ n = 6 โ Period 6
- Actinides โ n = 7 โ Period 7
- Group Number Rule:
All f-block elements are placed in Group 3.
Example 1: Cerium (Ce), Z = 58
- Configuration: [Xe] 4fยน 5dยน 6sยฒ
- n = 6 โ Period 6
- Group = 3
Example 2: Uranium (U), Z = 92
- Configuration: [Rn] 5fยณ 6dยน 7sยฒ
- n = 7 โ Period 7
- Group = 3
๐ Examples: Finding Period and Group Numbers for Different Block Elements
| Block | Element (Symbol, Z) | Electronic Configuration | Step to Find Period | Step to Find Group | Result |
|---|---|---|---|---|---|
| s-block | Sodium (Na, 11) | 1sยฒ 2sยฒ 2pโถ 3sยน | Outermost n = 3 โ Period 3 | nsยน โ Group 1 | Period 3, Group 1 |
| s-block | Calcium (Ca, 20) | 1sยฒ 2sยฒ 2pโถ 3sยฒ 3pโถ 4sยฒ | Outermost n = 4 โ Period 4 | nsยฒ โ Group 2 | Period 4, Group 2 |
| p-block | Oxygen (O, 8) | 1sยฒ 2sยฒ 2pโด | Outermost n = 2 โ Period 2 | Group = 10 + (2+4) = 16 | Period 2, Group 16 |
| p-block | Chlorine (Cl, 17) | 1sยฒ 2sยฒ 2pโถ 3sยฒ 3pโต | Outermost n = 3 โ Period 3 | Group = 10 + (2+5) = 17 | Period 3, Group 17 |
| d-block | Iron (Fe, 26) | [Ar] 3dโถ 4sยฒ | Outermost n = 4 โ Period 4 | Group = 6 + 2 = 8 | Period 4, Group 8 |
| d-block | Copper (Cu, 29) | [Ar] 3dยนโฐ 4sยน | Outermost n = 4 โ Period 4 | Group = 10 + 1 = 11 | Period 4, Group 11 |
| d-block | Chromium (Cr, 24) | [Ar] 3dโต 4sยน | Outermost n = 4 โ Period 4 | Group = 5 + 1 = 6 | Period 4, Group 6 |
| f-block | Cerium (Ce, 58) | [Xe] 4fยน 5dยน 6sยฒ | Outermost n = 6 โ Period 6 | All f-block = Group 3 | Period 6, Group 3 |
| f-block | Uranium (U, 92) | [Rn] 5fยณ 6dยน 7sยฒ | Outermost n = 7 โ Period 7 | All f-block = Group 3 | Period 7, Group 3 |
โ Tips for Students:
- Always write the full electron configuration first.
- Identify the highest value of n โ gives the period number.
- Apply the specific group formula based on the block.
- Remember exceptions in d-block (Cr, Cu, Mo, Ag, etc.) where electrons shift for stability.
๐ Quick Summary Table
| Block | General Configuration | Period Rule | Group Rule |
|---|---|---|---|
| s-block | nsยนโยฒ | n | nsยน โ 1, nsยฒ โ 2 |
| p-block | nsยฒ npยนโโถ | n | 10 + (s + p electrons) |
| d-block | (nโ1)dยนโยนโฐ nsโฐโยฒ | n | (d electrons + s electrons) |
| f-block | (nโ2)fยนโยนโด (nโ1)dโฐโยฒ nsยฒ | n | Always Group 3 |
FAQs on Rules to Find Period and Group in the Periodic Table
Q1. How do you find the period number of an element?
Answer: The period number is given by the principal quantum number (n) of the outermost shell in the electronic configuration.
Q2. How do you find the group number of s-block elements?
Answer: For s-block elements, if the outer configuration is nsยน โ Group 1, and if nsยฒ โ Group 2.
Q3. How do you find the group number of p-block elements?
Answer: Group number = 10 + (number of electrons in outermost s and p orbitals).
Q4. How do you find the group number of d-block elements?
Answer: Group number = (number of electrons in (nโ1)d orbital) + (number of electrons in ns orbital).
Q5. How do you find the group number of f-block elements?
Answer: All f-block elements are placed in Group 3, regardless of their electron count.
Q6. What is the period number of f-block elements?
Answer: For lanthanides, n = 6 โ Period 6; for actinides, n = 7 โ Period 7.
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