Two transition between three closest rotational levels (3 to 1 and then 2 to 1 ) correspond to emission of photons with the wavelength 200microns ( transition from level 3 to 2) and 400 microns (transition from level 2 to 1). What are orbital quantum numbers corresponding to these levels (levels numbering and orbital quantum numbers are different things)?
Two transition between three closest rotational levels (3 to 1 and then 2 to 1 ) correspond to emission of photons with the wavelength 200microns ( transition from level 3 to 2) and 400 microns (transition from level 2 to 1). What are orbital quantum numbers corresponding to these levels (levels numbering and orbital quantum numbers are different things)?
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Transcribed Image Text:Two transition between three closest rotational levels (3 to 1 and then 2 to 1 )
correspond to cmission of photons with the wavelength 200microns ( transition from
level 3 to 2) and 400 microns (transition from level 2 to 1). What are orbital quantum
numbers corresponding to these levels (levels numbering and orbital quantum
numbers are different things)?
Expert Solution
Concept and Principle.
Quantum Numbers:
Work of Bohr and de Broglie established that electrons take discreet energy levels based on radius and is defined by principle quantum number n. But Schrodinger equation solution gave us three more quantum numbers which describe the electron in a 3D space. Those three quantum number gave information on additional aspects of electrons like its orientation and direction. So the quantum numbers needed for describing motion of electron are,
- The Principal Quantum Number(n)
Describes the energy level of an atom. The value of n ranges from 1 to the shell containing the outermost electron of that atom.
- The Azimuthal Quantum Number(l)
The angular or orbital quantum number, describes the subshell and gives the magnitude of the orbital angular momentum through the relation. This quantum number is very important since it specifies the shape of an atomic orbital and strongly influences chemical bonds and bond angles. The value of l ranges from 0 to n − 1
- The Magnetic Quantum Number(ml)
Describes the energy levels available within a subshell and yields the projection of the orbital angular momentum along a specified axis and is associated with the orbital orientation. The values of ml range from − to ℓ, with integer steps between them
- The Spin Projection Quantum Number(ms)
Describes the spin (intrinsic angular momentum) of the electron within that orbital and gives the projection of the spin angular momentum (s) along the specified axis. Analogously, the values of ms range from −s to s, where s is the spin quantum number, an intrinsic property of particles.
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