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if value of spin quantum number(s)=-1//2...

if value of spin quantum number`(s)=-1//2,0,+1//2` then calculate number of groups in the new form of periodic table if all other rules of electronic configurations are remain same.

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To solve the problem of calculating the number of groups in a new form of the periodic table with the modified spin quantum numbers, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Spin Quantum Numbers**: - The spin quantum number (s) can take values of -1/2, 0, and +1/2. This means that each orbital can accommodate three electrons instead of the usual two (one for each of the spin states -1/2 and +1/2). 2. **Identifying Electron Configuration Blocks**: - The periodic table consists of different blocks based on the type of orbitals being filled: - S block: 2 groups (1 orbital, can hold 2 electrons) - P block: 6 groups (3 orbitals, can hold 6 electrons) - D block: 10 groups (5 orbitals, can hold 10 electrons) - F block: 14 groups (7 orbitals, can hold 14 electrons) 3. **Calculating Groups with Modified Spin**: - For the S block: - With three electrons per orbital, there is still only 1 orbital. Thus, the S block will still have 1 group. - For the P block: - The P block has 3 orbitals. With three electrons per orbital, it can accommodate 3 electrons in each of the 3 orbitals, leading to 3 groups. - For the D block: - The D block has 5 orbitals. With three electrons per orbital, it can accommodate 3 electrons in each of the 5 orbitals, leading to 5 groups. 4. **Totaling the Groups**: - Now, we sum the groups from each block: - S block: 1 group - P block: 3 groups - D block: 5 groups - F block: 7 groups (as it can hold 3 electrons per orbital in 7 orbitals) - Therefore, the total number of groups = 1 (S) + 3 (P) + 5 (D) + 7 (F) = 16 groups. 5. **Final Calculation**: - The total number of groups in the new periodic table with the modified spin quantum numbers is 27. ### Conclusion: The total number of groups in the new form of the periodic table, considering the modified spin quantum numbers, is **27**.
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