Please show all work.
Use the following two equations to determine the orthonormal hybrid orbitals
The given two functions are orthogonal, which can be proved by showing that 1.2 = 0
Explanation:
1.2 = (0.45*0.45) + {0.71*(-0.71)} + (0.55*0.55)
= 0.2025 - 0.5041 + 0.3025
= 0.2025 - 0.5041 + 0.3025
= 0.0009
~ 0
Please show all work. Use the following two equations to determine the orthonormal hybrid orbitals 0.45...
5. Consider the following two hybrid orbitals: ϕa = N (2pz + γ2s), ϕb = N (2s - γ2pz) where 2p and 2s are atomic orbitals on one atom. (a) Determine the normalization constant N, expressed in terms of the constant γ. (b) Show that ϕa and ϕb are orthogonal. (c) Sketch the shape of these hybrid orbitals for γ ≒ 0.2. (d) Repeat part (c) for γ = 1.0.