# Question regarding the d Orbitals

• mathzeroh
In summary: So, for n=6, you have: 6s, 6p, 6d, 6f, 6g, 6h... and 5 orbitals for the d subshell.In summary, the statement "There are five d orbitals at both the fourth and sixth principal energy levels" is false. The correct statement is that there is only one d orbital per principal energy level. This can be seen in the electron configurations of elements which show that the fourth energy level contains 4s, 4p, 4d, and 4f orbitals, while the sixth energy level contains 6s, 6p, 6d, 6f, 6g
mathzeroh
hey everyone! good morning!

can anyone please clarify this statement for me?

True of False (correct statement if false)

There are five d orbitals at both the fourth and sixth principal energy levels.

i said it was false because there's only one d orbital per principal energy level. now i know that that is completely wrong (what i said was wrong) but i guess I'm just having a hard time understanding what the principal energy levels are and what that mean...that statement was actually true, but can anyone help me understand why its true?

thanks alot!

I believe that there are five orbitals in any d shell, but I think this may be a problem of vocabulary. If orbital means the item that holds two electrons, then yes there are 5 of them.

At the 4th and 6th principle energy levels:

$$1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^2 4d^{10} 5p^6$$

The fourth principle energy level has a coefficient of 4 in the above electron configuration. You can write it out to the 6th level but I'm not sure how it goes after that. as you can see the d shell on the fourth energy level has 5 orbitals, since it holds 10 electrons.

In spectroscopic notation "d" stands for $l=2$ to which 5 possible values for $m_{l}$ correspond.Therefore,it doesn't matter what the value of [itex] n\geq3 [/tex] is.

Daniel.

Good call dex. Quantum numbers never lie.

whozum said:
I believe that there are five orbitals in any d shell, but I think this may be a problem of vocabulary. If orbital means the item that holds two electrons, then yes there are 5 of them.

At the 4th and 6th principle energy levels:

$$1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^2 4d^{10} 5p^6$$

The fourth principle energy level has a coefficient of 4 in the above electron configuration. You can write it out to the 6th level but I'm not sure how it goes after that. as you can see the d shell on the fourth energy level has 5 orbitals, since it holds 10 electrons.

Thank you for the help but i appologize because I'm a little slow...i still don't get it. so the 4th principle energy level is the $$4s^2$$? That one? but i only see two, because of the superscript 2, unless I'm missing something here...how does the d shell hold five? please help me!

thanks to both of you btw!

What is principle energy level?Never heard of this notion.Care to explain?

Daniel.

mathzeroh said:
Thank you for the help but i appologize because I'm a little slow...i still don't get it. so the 4th principle energy level is the $$4s^2$$? That one? but i only see two, because of the superscript 2, unless I'm missing something here...how does the d shell hold five? please help me!

thanks to both of you btw!
Each principle energy level has different types of orbitals (except for the first, of course). The fourth energy level has:
4s, 4p, 4d, 4f.

The d shell consists of FIVE orbitals, each containing a maximum of 2 electrons (max of 10 electrons).

^^^ OHHHH so that's what's meant by it? ok! thanks!

dextercioby, here's what it says in the glossary:

principal energy level(s): the main energy levels within the relectron arrangement in an atom. They are quantized by a set of integers beginning at n=1 for the lowest level, n=2 for the next, and so forth; also called the principal quantum number.

so does that mean that the "principal quantum number/principal energy level" is the periods in the periodic table of elements??

mathzeroh said:
^^^ OHHHH so that's what's meant by it? ok! thanks!

dextercioby, here's what it says in the glossary:

principal energy level(s): the main energy levels within the relectron arrangement in an atom. They are quantized by a set of integers beginning at n=1 for the lowest level, n=2 for the next, and so forth; also called the principal quantum number.

so does that mean that the "principal quantum number/principal energy level" is the periods in the periodic table of elements??
Yes, the period an element is in represents the valence energy level.

The adjective "principal" is used with energy levels because there is a small dependence of energy level on orbital angular momentum. That is why the sequence written earlier as
$$1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^2 4d^{10} 5p^6$$
is not strictly in the order 1, 2, 3, 4, 5. These small differences give rise to fine structure in atomic spectra.

There's no such thing as "main/principal" energy levels.There's only ENERGY LEVELS.

Daniel.

I don't know about you folks, but this is what I was taught as vocabulary:

Shell-->Subshell-->Orbital

For n = 6 (the 6th shell if you want to call it that way), l can range from 0 to 5, so for n = 6, the subshells are s,p,d,f,g,h. There are 5 d orbitals whenever the d-subshell is present for some n as whozum has correctly pointed out.

The orbital orientations (dx, dy, dz, d(x^2-y^2),d(z^2)) are described by m (allowed to range from -l to +l including zero). If you know how the quantum numbers work you know which orbital "exists" for any energy level (whether or not it contains electrons is something different).

## 1. What are d orbitals?

D orbitals are a type of atomic orbital that describes the probability of finding an electron in a specific energy state within an atom. They are named after the letter "d" because they have a cloverleaf shape when plotted on a graph.

## 2. How many d orbitals are there?

There are five d orbitals, each with a unique shape and orientation. These are referred to as dxy, dxz, dyz, dx^2-y^2, and dz^2.

## 3. What is the difference between s and d orbitals?

The main difference between s and d orbitals is their shape and orientation. S orbitals are spherical and symmetrical, while d orbitals are more complex and have different shapes and orientations based on their energy state.

## 4. How do d orbitals contribute to an atom's electron configuration?

D orbitals can hold a maximum of 10 electrons, with two electrons in each orbital. They contribute to an atom's electron configuration by filling the available energy levels in a specific order, following the Aufbau principle.

## 5. What is the significance of d orbitals in chemical bonding?

D orbitals play a crucial role in chemical bonding, especially in transition metals. They have a higher energy than s and p orbitals, which allows them to participate in bonding by forming hybrid orbitals or overlapping with other orbitals to create molecular orbitals.

• Introductory Physics Homework Help
Replies
6
Views
1K
• Introductory Physics Homework Help
Replies
5
Views
2K
• Introductory Physics Homework Help
Replies
1
Views
1K
• Introductory Physics Homework Help
Replies
7
Views
1K
• Introductory Physics Homework Help
Replies
1
Views
940
• Introductory Physics Homework Help
Replies
7
Views
4K
• Introductory Physics Homework Help
Replies
9
Views
1K
• Introductory Physics Homework Help
Replies
1
Views
923
• Quantum Physics
Replies
11
Views
1K
• Introductory Physics Homework Help
Replies
11
Views
2K