 ## General Chemistry

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9. Quantum Mechanics

# Quantum Numbers: Angular Momentum Quantum Number

The Angular Momentum Quantum Number gives the shape of the atomic orbitals.

Angular Momentum Quantum Number
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concept

## Quantum Numbers: Angular Momentum Quantum Number 40s
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the angular momentum Quantum number, also known as the as a mutual quantum number, uses the variable L. And it equals the shape of the atoms. So it gives us its shape. We're going to say the relationship between N N L. Is that when given the principal quantum number, n l equals zero up two and minus one because l has that end minus one part to it. The limitation is that the angular momentum quantum number l is always less than the principal quantum number n. So just remember that limitation when it comes to creating a relationship between your end quantum number and your l quantum not.
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example

## Quantum Numbers: Angular Momentum Quantum Number Example 1 46s
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here, it says. What are all possible values for L When n equals for All right, So remember when n is given out equals zero up to and minus one since Ennis four. That means that's four minus one. So that's three. Three is not your answer, though, because we just said Al equals zero up to n minus one. So I would equal zero up to three. Which means that when l when Ennis four Alcon equals 012 or three, meaning that option D is are correct answer.
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concept

## Quantum Numbers: Angular Momentum Quantum Number 1m
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when it comes to the relationship of the quantum number l and a sub shell, we say that the shell of an atom can be further divided into sub shelves, also sometimes called sub levels. With each one assigned a variable letter, we're gonna say the value for the angular momentum quantum number l can determine this sub shell letter. So here, if we look, we have values for L as 012 and three when l equals zero, the sub shawl letter is s When al equals one, then it's p when l equals to its d And when l equals three, it's f So just remember, if you know the l value, you know the sub shell letter. If you know the sub shell letter, then you know what your L value will be. Okay, so just remember the order in terms off each of these sub shell letters and a number associated with them
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## Quantum Numbers: Angular Momentum Quantum Number Example 2 49s
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here, it says, What are the possible values for N N L for an electron found in the third principle level and d sub level. Alright, so here they're saying third principle level. That means Third show. If we're talking about principle, we're talking about our end quantum number, so this would be an equals three and then remember, if we know the sub shall letter or sub level letter, we know what Ellis remember here. 012 and three and then our sub level or sub shell letter would be S p d and F since its d. That means the L value has to be to so al equals two. And that would mean that option deed is are correct answer.
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Problem

Provide all the possible values of l for a 2 energy level.

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How many sublevels are contained in the third shell (n = 3) for a given atom?

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concept

## Quantum Numbers: Angular Momentum Quantum Number 1m
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Now we say here that the angular momentum quantum number gives information on the shape of the orbital's that electrons occupied. So remember, if your L value is zero, the sub shell or sub level would be s. It has a satirical shape, so it's shaped like a sphere. When we're dealing with l equals one. We're dealing with the peace. Upshaw P has three shapes associated with it, and here we can call them Ellipses or dumbbells. So we have three dumbbells. When l equals to the sub shall letter is deep. This one has five shapes associated with it. The first four are four leaf clovers. And then the last one is in ellipses with a circle around it, or a dumbbell with a ring around him around it. Then finally, when l equals three, the sexual letter is F, and it has seven shapes associated with it. The first three are a little bit weird. Okay, so here I like to call them passive fires. So it's a pair of passive fires for the first three shapes, and then the next one's four double four leaf clovers. So Double four leaf clovers and there's four of them all right. So just remember, when it comes to the angular momentum quantum number, it can also give us information on the shapes of the different orbital's that the electrons can occupy. And these would be the shapes in which the sub shovels sub shall electrons would take.
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## Quantum Numbers: Angular Momentum Quantum Number Example 3 1m
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