From the algebraic theory of quantum mechanical angular momentum, and solving the Schrodinger equation in three dimensions.Avanthica said:TL;DR Summary: it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?
it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?
Thank you so much sir for taking time to reply to my thread. Can you explain it in detail sirPeroK said:From the algebraic theory of quantum mechanical angular momentum, and solving the Schrodinger equation in three dimensions.
Are you studying physics or chemistry at university?Avanthica said:Thank you so much sir for taking time to reply to my thread. Can you explain it in detail sir
or may i know where i can learn about this in detail
i am studying physics in an college affiliated to a univertisyPeroK said:Are you studying physics or chemistry at university?
Your textbook should cover the solution to the Schrödinger equation for the hydrogen atom. There are plenty of resources online that cover this. E.g. this looks like it covers the basics without getting into the mathematics of solving the SDE:Avanthica said:i am studying physics in an college affiliated to a univertisy
The azimutal quantum number, denoted by the symbol l, is one of the four quantum numbers that describes the energy state of an electron in an atom. It determines the shape of the electron's orbital and the angular momentum of the electron.
The range of values for the azimutal quantum number is determined by the principal quantum number (n). The range of l is from 0 to n-1. For example, if n=3, the possible values for l are 0, 1, and 2.
The range of the azimutal quantum number tells us about the different types of orbitals present in an energy level. For example, when l=0, the orbital is an s orbital, when l=1, the orbital is a p orbital, and so on.
The azimutal quantum number plays a crucial role in determining the electron configuration of an atom. It determines the number of subshells in an energy level, which in turn determines the number of electrons that can occupy that energy level.
No, the azimutal quantum number can only have integer values from 0 to n-1. This is because it represents the number of subshells in an energy level, and subshells cannot have fractional values.