In the ground state of element 115, Uup, a. how many electrons have n=5 as one of their quantum

step 1 doing? Problem 100 Chapter seven. Ah, in the grassy of Element 1 15 of moon Pentium. Uh, how man

In the ground state of element 115, Uup, a. how many...

Key Concepts

Principal Quantum Number (n)

The principal quantum number (n) determines the overall energy level or shell of an electron in an atom. It directly relates to the electron's average distance from the nucleus and influences the energy of the orbital. In many problems, counting electrons with a particular n value requires matching the electron configuration to the corresponding energy shell.

Azimuthal Quantum Number (?)

The azimuthal or angular momentum quantum number (?) defines the shape of an electron's orbital and distinguishes among the subshells (such as s, p, d, f, etc.). It takes on integer values from 0 to n-1. Understanding ? is essential for identifying how many and which electrons populate orbitals with specific shapes.

Magnetic Quantum Number (m?)

The magnetic quantum number (m?) specifies the orientation of an electron orbital in three-dimensional space relative to an external magnetic field. Its values range from -? to ?. This concept allows us to determine the degeneracy of orbitals in a subshell and, consequently, to count electrons within orbitals having a specified m? value.

Spin Quantum Number (m?)

The spin quantum number (m?) represents the intrinsic angular momentum, or spin, of an electron, with possible values of +½ or -½. This number is critical for understanding electron pairing in orbitals and is used when counting the number of electrons with a particular spin orientation.

Electron Configuration

Electron configuration is the method of describing the arrangement of electrons in an atom's orbitals, including principal, angular momentum, magnetic, and spin quantum numbers. It allows for systematic determination of electron distribution among available subshells and is crucial for answering questions regarding counts of electrons in specific quantum states.

Transcript

00:01 Doing? problem 100 chapter seven.

00:03 Ah, in the grassy of element 1 15 of moon pentium.

00:07 Uh, how many electrons have n equals? 500 pontin numbers.

00:11 So union pension is down here.

00:13 Uh, you you u p at 1 15 so this is an equal seven so and equals five above this.

00:21 So all the angles five electrons, all the and equals five orbital's are filled in.

00:29 So we get one electron for every every element across this road.

00:34 So we just the count that so 123456 789 10 11 12 13 14 15 16 17 18.

00:46 All right.

00:47 Next.

00:48 How many electrons have illegal stories? one of their quantum numbers.

00:52 Um l equals three.

00:53 So remember that and is equal to 1234 and l must be less than end.

00:59 So if n is equal to 1234 l would be easier once you 123 etcetera.

01:07 So l is the equation is the angular momentum quantum number.

01:12 So we use this to turn what kind of ordeals we have.

01:15 If l is equal to zero, we have s if l is equal to one we have p f l is equal to be a d and his ellie physical three.

01:24 We have f so which us? so which ones are going to know which and values are greater than one which advise are greater than l o greater than three, but still have.

01:41 But i also have f over that's gonna n equals sex and an equal seven.

01:45 So we have 14 element.

01:48 So are so all of the electrons in our f four door gonna count towards us and both e the four f orbital and the five f orbital are all filled in their field 14 electrons each.

02:01 So we just add that to gary for compost working that's 28.

02:05 So there will be a 20 elections total and both of our f or girls so many electrons have m l is equal to one is wonder quantum numbers.

02:14 So remember what m.

02:15 Ellis ml is the range from negative attitude positive l and when we have our l values that as our ml values when we look at a specific orbital, that's going to each mlb corresponds to one orbital over.

02:39 So if ml is equal to one, that means we can have two electrons per orbital that we're talking.

02:50 And remember, if ml is equal to ml is equal to one us as ml is equal to one, uh, that we could be talking about either either p d or f we can't be talking about s because that then, um then ah ml would be m l will be zero here.

03:23 So we get to electrons for us for every for every, ah, us every kind of f p and the orbital we have.

03:40 So let's see what we have.

03:43 So we have one little guppy block.

03:47 First we have 12345 and yes, a six 123456 weeks six possible...

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