Does the Principal Quantum Number Refer to the Electron Shell?

In summary, the principal quantum number, n, refers to the overall size and energy of an orbital in a particular electron shell. While it is commonly associated with the first electron shell in chemistry, it can be used for any shell. The other quantum numbers, l and m, provide information about the orbital angular momentum. To determine the exact energy, all three quantum numbers are needed, but for a general approximation, only n is necessary.
  • #1
Bashyboy
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I was wondering, does the principal quantum number refer to the electron shell.
 
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  • #2
Okay, I think I figured it out. The way my chemistry textbook explains gives the impression that the principal number corresponds to the electron shell; but it really signifies the overall size and energy of an orbital in a particular electron shell. Since it is a chemistry textbook, I am assuming they are only talking of principal numbers in terms of the 1st shell electron shell. Is that correct?
 
  • #3
The principle quantum number, n, tells you the energy. The other two quantum numbers l and m tells you about the orbital angular momentum. To denote which shell exactly, you need all three (n,l,m), but if you just wanted to know the energy (to first approximation), you only need n.

If you wanted the exact energy, you still need to take l and m (and the spins of the proton and electron), depending on your requirement for accuracy.
 

Related to Does the Principal Quantum Number Refer to the Electron Shell?

What is the principal quantum number?

The principal quantum number, symbolized as n, is a quantum number that describes the energy level or shell of an electron in an atom.

How is the principal quantum number determined?

The principal quantum number is determined by the number of energy levels or shells present in an atom. It can have any positive integer value starting from 1.

Does the principal quantum number refer to the number of electrons in an atom?

No, the principal quantum number does not refer to the number of electrons in an atom. It only describes the energy level or shell that an electron occupies.

What is the significance of the principal quantum number?

The principal quantum number is important in understanding the electronic structure of an atom and predicting the behavior of electrons. It also helps in determining the energy and stability of an atom.

Can the principal quantum number have a fractional value?

No, the principal quantum number can only have a positive integer value. It cannot have a fractional or negative value.

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