We have to determine how many orbitals would exist in s sublevel, in an alternate universe where the values of mℓ range from -ℓ-1 to +ℓ+1.
To determine the number of orbitals, we have to first define the quantum numbers:
• principal quantum number (n) → energy level in orbitals and its value could be any positive integer starting from 1.
• angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1).
• magnetic quantum number (mℓ) → range of values from -ℓ to +ℓ. In the alternate universe it will be -ℓ-1 to +ℓ+1.
• spin quantum number (ms) → has two values: +½ and -½.
Suppose that, in an alternate universe, the possible values of mℓ are the integer values including 0 ranging from -ℓ-1 to ℓ+1 (instead of simply -ℓ to +ℓ). How many orbitals exist in each sublevel in the alternate universe?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Introduction to Quantum Mechanics concept. You can view video lessons to learn Introduction to Quantum Mechanics. Or if you need more Introduction to Quantum Mechanics practice, you can also practice Introduction to Quantum Mechanics practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Silverman's class at MIZZOU.