Help: Question about Orbitals and Quantum numbers - Thanks

In summary, the allowable values for the quantum numbers are different in a strange universe where s orbitals can contain 2 electrons, p orbitals can contain 4 electrons, and d orbitals can contain 6 electrons. The number of orbitals for each level in this universe would be 1 for s, 2 for p, and 3 for d. The other rules of electron configuration remain the same as in our own universe.
  • #1
nukeman
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Homework Statement



Assume that you travel through space to a strange universe where the allowable
values for the quantum numbers are quite different from those in our own universe.
In this new universe, s orbitals may contain a total of 2 electrons, p orbitals may
contain a total of 4 electrons, and d orbitals may contain a total of 6 electrons (as
opposed to our 2, 6, and 10, respectively). The other rules of electron configuration in
this new universe are the same as in our own universe. Answer the following about
elements in this new universe.

*How many orbitals would there be in each of the s, p, and d levels?

-----------------------------------------------------------------------------

I don't understand how to do this.

So, in our universe, s has 2 electrons, p has 6 electrons and d has 10 electrons.

But how do I find the number of orbitals of each?

Thanks for any advice or help!


Homework Equations





The Attempt at a Solution

 
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  • #2
Anyone ?

:)
 
  • #3
Is this correct?

If in the new universe, s orbitals may contain a total of 2 electrons, p orbitals may
contain a total of 4 electrons, and d orbitals may contain a total of 6 electrons

so would s have 1 orbital, p have 2 orbitals and d have 3 orbitals?

I am really not getting this :(
 
  • #4
Anyone please?
 
  • #5
nukeman said:
Is this correct?

If in the new universe, s orbitals may contain a total of 2 electrons, p orbitals may
contain a total of 4 electrons, and d orbitals may contain a total of 6 electrons

so would s have 1 orbital, p
have 2 orbitals and d have 3 orbitals

I am really not getting this :(


That is correct. Remember that there are 2 electrons in each orbital, and since
it stated all the other rules are same this applies in the new universe too.
 

1. What are orbitals and quantum numbers?

Orbitals are regions of space where an electron is likely to be found in an atom. Quantum numbers are used to describe the properties of these orbitals, including their size, shape, and orientation.

2. How many orbitals are there in each energy level?

The number of orbitals in each energy level is equal to the principal quantum number (n). For example, the first energy level (n=1) has one orbital, the second energy level (n=2) has two orbitals, and so on.

3. What is the difference between an s, p, d, and f orbital?

An s orbital is spherical in shape, while p orbitals are dumbbell-shaped. D orbitals have more complex shapes, and f orbitals have even more complex shapes. These orbitals differ in their energy and angular momentum properties.

4. How do quantum numbers relate to the periodic table?

The principal quantum number (n) corresponds to the period (row) of the element on the periodic table. The azimuthal quantum number (l) corresponds to the sublevel (s, p, d, or f) of the element. The magnetic quantum number (ml) corresponds to the specific orbital within each sublevel. And the spin quantum number (ms) describes the direction of the electron's spin.

5. How do quantum numbers affect the chemical properties of an element?

The quantum numbers determine the arrangement of electrons in an atom, which in turn affects the chemical properties of an element. For example, elements with the same outermost electron configuration (same n, l, and ml quantum numbers) exhibit similar chemical properties. Additionally, the spin quantum number (ms) affects the magnetic properties of an element.

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