Question Video: Determining the Number of Possible Values of 𝑙 When 𝑛 = 1 | Nagwa Question Video: Determining the Number of Possible Values of 𝑙 When 𝑛 = 1 | Nagwa

# Question Video: Determining the Number of Possible Values of π When π = 1 Chemistry • Second Year of Secondary School

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If π = 1, how many possible values of π are there?

02:12

### Video Transcript

If π equals one, how many possible values of π are there?

Firstly, π is the principal quantum number. π determines the size of an atomic orbital. π can only be a positive integer from one to seven. If we compare the spherical 1s and 2s orbitals, the 2s orbital is larger. Itβs important to remember that π also tells us the energy level in which an electron is found.

Now, the quantum number π has a few names: the subsidiary, azimuthal, or orbital angular momentum quantum number. In this video, we will refer to π as the subsidiary quantum number. This quantum number describes the shape of an atomic orbital. π can have integer values from zero to π minus one. The following table shows the type of orbital associated with each π-value. s orbitals are spherical, while p orbitals are dumbbell shaped. The shapes of d and f orbitals are far more complex and difficult to draw.

Now, letβs practice determining the possible values for π when given a value for π. Letβs do this for only the first three energy levels.

If π is three, π has values from zero to π minus one, which means the possible values of π are zero, one, and two. We can see that each π-value corresponds to the type of subshells that the third energy level contains. If π is two, there are only two possible values for π, which correspond to the 2s and 2p subshells inside energy level two. Finally, if π is one, the only possible value of π is zero, and the first energy level contains only the 1s subshell.

In conclusion, if π equals one, there is only one possible value for π.

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