What is the Largest Quantum Number for Li3+ with a 60 Å Orbital Radius?

  • #1
hassony
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TL;DR Summary: Quantum number of a state

What is the largest quantum number of a state of the Li3+ ion with an orbital radius equal to 60 A?

I tried solving the question as below
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  • #2
Apart from belonging in the homework section, Li3+ is a bare nucleus. It has no electrons.
 
  • #3
Apart from Li3+ being a bare nucleus, ##\sqrt{\dfrac{60\times 3}{0.529}}=18## or ##20## to one sig. fig.
 

What is the largest quantum number?

The largest quantum number is the principal quantum number, denoted by the letter n. It represents the energy level or shell of an electron in an atom. The maximum value of n is determined by the number of electrons in the atom, and it can range from 1 to infinity.

What is the significance of the largest quantum number?

The largest quantum number plays a crucial role in determining the electronic structure of an atom. It determines the size and energy of an electron's orbital, and thus, its distance from the nucleus. This information is vital in understanding an atom's chemical and physical properties.

How is the largest quantum number determined?

The largest quantum number is determined by the number of electrons in an atom. Each electron in an atom occupies a unique energy level, and the number of energy levels is equal to the number of electrons. Therefore, the largest quantum number is equal to the total number of energy levels in an atom.

What is the relationship between the largest quantum number and the number of subshells?

The largest quantum number determines the number of subshells in an atom. The number of subshells is equal to the value of n, and each subshell can hold a maximum of 2(n^2) electrons. For example, if n=3, there are 3 subshells (l=0,1,2) and a maximum of 18 electrons (2(3^2)).

Why does the largest quantum number have a maximum value?

The maximum value of the largest quantum number is determined by the energy levels of an atom. As the energy levels increase, the distance of the electrons from the nucleus also increases. Eventually, the electrons will become too far away from the nucleus, making it unstable. Therefore, there is a limit to the number of energy levels an atom can have, and thus, a maximum value for the largest quantum number.

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