Comparing Quantum Mechanics and Bohr's Model

Bohr's Model	Quantum Mechanics
Electron lives in an orbit	Electrons live in an orbital
An orbit is described by one quantum number (n)	An orbital is described by three quantum numbers (n, l, m_l)

Note: n is in the range 1, 2, 3, …etc in both models.
What about the other quantum numbers n, l, m_l

n principal quantum number: 1, 2, 3, ..., ∞
as n increases,the orbital becomes larger, its energy increases, electron becomes less tightly bound to the nucleus.
n determines the main level (main shell) in which an electron lives

l azimuthal quantum number: 0,1,2,3,….(n -1) for each value of n.

It defines the shape of the orbital, for each value of l , there is a symbol:

l = 0 l = 1 l = 2 l = 3

s p d f

l = 0	l = 1	l = 2	l = 3
s	p	d	f

l determines the sub-level (sub-shell) in which an electron lives.

	1, 2, 3, ...etc
l	0, 1, 2, .... (n − 1)
m_l	+l, 0, −l

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Date of last modification: Summer , 2019