Chemistry NH3 molecule did not use sp3 hybridized orbitals

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In the discussion about the NH3 molecule, it is proposed that if the nitrogen atom did not utilize sp3 hybridized orbitals, the expected bond angle would be 90 degrees due to the orthogonal nature of the p orbitals (Px, Py, Pz). The conversation also explores the implications of sp2 hybridization, which would alter the bond angles compared to the typical tetrahedral geometry of NH3. The focus remains on understanding the geometric and bonding consequences of different hybridization states. The analysis emphasizes the importance of hybridization in determining molecular geometry and bond angles. Overall, the discussion highlights the relationship between orbital hybridization and molecular structure.
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Homework Statement


20. If the central N in the NH3 molecule did not use sp3 hybridized orbitals. What would be the expected angle in NH3?

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The Attempt at a Solution



I should just consider 3 of the H: 1s^{1} bonding with the P_{x} , P_{y} , P_{z} respectively and the angle is 90deg since they are orthogonal to one another.
 
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What if it hybridized sp2?
 
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