what is meant by principle quantum number and azimuthal quantum number?

Answer 1

The principle quantum number describes the size of the orbital, more specificly its energy state. The azimuthal quantum number describesthe orbitals shape, which is the region in space where the electron is most likely to be.

Answer 2

The Principal quantum number signifies different energy levels of the atom. For example the first energy level is designated as 1 and denoted by a letter K or called K shell. Similarly the next higher energy levels are 2, 3, 4, 5........denoted as L, M, N, O.......... respectively. The maximum no. of electrons that can be accomodated in a shell is equal to 2*n^2. where n = 1, 2, 3, 4, ......for K, L, M, N,.............respectively.

Azimuthal quantum number gives the shapes of the orbitals or this is also called angular momentum quantum number. The value of azimuthal quantum number (l) = (n-1). where n = principal quantum number. For example, for K shell n = 1,
Hence azimuthal quantum number (l) = 1-1 = 0. The 0 (zero) signifies the K shell has one subshell i.e. 0 (zero) which is denoted by small letter 's' subshell and is spherically symmetrical in shape.
For n = 2, l = 2-1 = 1 => 0 and 1 => s and p subshell
For n = 3, l = 3-1 = 2 => 0, 1 and 2 => s, p and d subshell
For n = 4, l = 4-1 = 3 => 0, 1, 2 and 3 => s, p, d and f subshell

s subshell is spherically symmetrical
p subshell is dumbel shape
d subshell is double dumbel shape
f subshell is complecated in structure.

Answer 3

Quantum numbers are used to label the state of a quantum system. In your case, it is about the state of an electron around a nucleus. Four quantum numbers are used.

Principal quantum number, n = 1, 2, 3, 4, ...
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Enumerates the shells in which the electron can go. Shell 1 is closest to the nucleus, and has room for 2 electrons. Shell 2 has room for 8 electrons. In general, shell n has room for 2 * n^2 electrons.

Azimuthal quantum number, L = 0, 1, ..., n
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Indicates the absolute value of the angular momentum. This defines the different "orbitals" within a shell. For instance, in shell 1 we have
L = 0: s-orbital, two electrons
L = 1: p-orbital, six electrons
L = 2: d-orbital, ten electrons
in general, orbital L can have 4n - 2 electrons.

Magnetic quantum number m = -L, ..., 0, ..., L
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Indicates the magnitude of the angular momentum of an electron in a fixed direction (traditionally, along the z-axis). For instance, the 2p orbital (n = 2, L = 1) can house 3 pairs of electrons, with m = -1, 0 or 1. They are traditionally written as 2px, 2py, 2pz.

Spin quantum number s = -1/2, +1/2
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Electron spin is either "up" or "down". For every combination n, L, m there are two possible spin states.

Answer 4

The principle quantum number describes the size of the orbital, more specificly its energy state. The azimuthal quantum number describesthe orbitals shape, which is the region in space where the electron is most likely to be

Answer 5

azimuthal quantum number (l): a quantum number distinguishing the different shapes of orbitals.

For more info check the link below

Answer 6

principle quantum number describes about orbit i.e how many electrons present in an orbit , the maximum number of electrons present is finding from formula 2n square

azimutal quantum number tells about probality of finding more electron in an orbit . that is it talks about maximum number of electrons present in an orbital that one is find by using formula 2(l+1) where l=0,1,2,3..........etc and the shape of orbital

Answer 7

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