A certain orbital has and . The number of radial nodes in this orbital is (round off to nearest integer).

Question

A certain orbital has  and . The number of radial nodes in this orbital is  (round off to nearest integer).

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🧠 The Quantum Constraint
The magnetic quantum number () gives us a huge hint about the minimum value of the azimuthal quantum number (). Because , an orbital with  MUST have .

🗺️ The Value Isolation
1. Identify :
   Given  and .
   Max  for  is .
   Since ,  must be exactly 3 (this is a 4f orbital).
2. Calculate Radial Nodes:

⚡ The Boundary Shortcut
The first shell to introduce a subshell () never has radial nodes. Since  is the first time -orbitals appear, its radial node count is a

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