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.

Answer

To determine the number of groups in the new form of the periodic table based on the given spin quantum numbers \( s = -\frac{1}{2}, 0, +\frac{1}{2} \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Spin Quantum Number**:
The spin quantum number \( s \) can take three values: \( -\frac{1}{2}, 0, +\frac{1}{2} \). In the traditional periodic table, each orbital can hold two electrons with opposite spins. Here, we have an additional spin state (0), which means each orbital can now accommodate three different spin configurations.

2. **Identify the Blocks in the Periodic Table**:
The periodic table is divided into several blocks:
- **S block**: Can hold 2 electrons (2 groups)
- **P block**: Can hold 6 electrons (6 groups)
- **D block**: Can hold 10 electrons (10 groups)
- **F block**: Can hold 14 electrons (14 groups)

3. **Calculate the New Capacity for Each Block**:
- **S block**: With the new spin configurations, each S orbital can now accommodate 3 electrons (due to the three spin states). Therefore, the S block will still have 2 groups, but each group can now hold 3 electrons.
- **P block**: The P block has 3 orbitals, and with 3 spin states, it can accommodate \( 3 \times 3 = 9 \) electrons. Therefore, the P block will have 6 groups, but each group can now hold 9 electrons.
- **D block**: The D block has 5 orbitals, and with 3 spin states, it can accommodate \( 5 \times 3 = 15 \) electrons. Therefore, the D block will have 10 groups, but each group can now hold 15 electrons.
- **F block**: The F block has 7 orbitals, and with 3 spin states, it can accommodate \( 7 \times 3 = 21 \) electrons. Therefore, the F block will have 14 groups, but each group can now hold 21 electrons.

4. **Total Number of Groups**:
- S block: 2 groups
- P block: 6 groups
- D block: 10 groups
- F block: 14 groups

Now, we sum the groups:
\[ \text{Total Groups} = 2 + 6 + 10 + 14 = 32 \]

5. **Final Answer**:
The total number of groups in the new form of the periodic table, considering the new spin quantum states, is **32**.