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**Problem**: 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?s sublevel

###### FREE Expert Solution

###### FREE Expert Solution

We have to determine how many orbitals would exist in s sublevel, in an alternate universe where the values of m_{ℓ} 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 (m _{ℓ})** → range of values from -ℓ to +ℓ.

**In the alternate universe it will be -ℓ-1 to +ℓ+1.**

• **spin quantum number (m _{s})** → has two values: +½ and -½.

###### Problem Details

Suppose that, in an alternate universe, the possible values of m_{ℓ} 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?

s sublevel

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