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The magnetic quantum number ml depends on the orbital angular momentum (azimuthal) quantum number, l, which in turn depends on the principal quantum number, n. The orbital angular momentum (azimuthal) quantum number, l, runs from 0 to (n-1) where n is the principal quantum number. l= 0 is an s orbital, l= 1 is a p subshell, l= 2 is a d subshell, l=3 is an f subshell. The magnetic quantum number, ml, runs from -l to +l (sorry this font is rubbish the letter l looks like a 1) so for an f orbital the values are -3. -2, -1, 0, +1, +2, +3, so 7 f orbitals in total. ml "defines " the shape of the orbital and the number within the subshell.
3
3s has a principle quantum number of n=3 5s has a principle quantum number of n=5
n = 2, l = 0, ml = 0, ms = -1/2 Only the radial function R(r) of the Schrodinger wave function (psi) is needed to calculate the Energy. The radial function only deals with the principle quantum number (n). Therefore, only n is required to find the Energy. As to find the Energy states, one must specify if we are dealing with a one-electron atom situation or multiple-electron system. For one-electron atoms, the Energy states is determined by the principle quantum number (n). For multi-electron systems, the Energy states depend on both the principle quantum number (n) and orbital quantum number (l). This explanation is valid unless we are using very high resolution spectroscopic techniques, deviations will appear.
f orbital corresponds to n=4. l = n-1 = 3. The magnetic quantum numbers run from -l to l, or -3, -2,... 3. Thus there are seven possible magnetic quantum numbers, or seven orbitals. Since each orbital has 2 electrons max, an f orbital can hold 14 electrons.
The principal quantum number n = 3 and the azimuthal or orbital angular momentum quantum number would be l =1 .l = 1
it means the major level of orbital like 2S1, the 2 is the quantum number 3D4, the 3 is the quantum number
The magnetic quantum number ml depends on the orbital angular momentum (azimuthal) quantum number, l, which in turn depends on the principal quantum number, n. The orbital angular momentum (azimuthal) quantum number, l, runs from 0 to (n-1) where n is the principal quantum number. l= 0 is an s orbital, l= 1 is a p subshell, l= 2 is a d subshell, l=3 is an f subshell. The magnetic quantum number, ml, runs from -l to +l (sorry this font is rubbish the letter l looks like a 1) so for an f orbital the values are -3. -2, -1, 0, +1, +2, +3, so 7 f orbitals in total. ml "defines " the shape of the orbital and the number within the subshell.
The angular momentum number shows the shape of the electron cloud or the orbital. The magnetic quantum number, on the other hand, determines the number of orbitals and their orientation within a subshell.
3
3s has a principle quantum number of n=3 5s has a principle quantum number of n=5
10 electrons.The angular momentum quantum number is l (small L). This quantum number is dependant on the principal quantum number, and has values, 0 1,2 ..(n-1), where each value of n refers to a subshell known to chemists as followsn= 0, s orbital; n=1, p orbital; n= 2, d orbital; n= 3, f orbital.So we are looking at the d orbitals.There are five d orbitals, with magnetic quantum numbers running from -l to +l, that is -2, -1, 0, +1, +2Each of these can hold 2 electrons (with spin quantum numbers -1/2, +1/2)So we have 10 electrons that can have pricipal quantum numbers of 4 and angular monmentum quantum number of 2.
The principal quantum number (n = 1, 2, 3, 4, …) denotes the eigenvalue of Hamiltonian (H), i.e. the energy, with the contribution due to angular momentum (the term involving J2) left out. This number therefore has a dependence only on the distance between the electron and the nucleus (i.e., the radial coordinate, r). The average distance increases with n, and hence quantum states with different principal quantum numbers are said to belong to different shells.The azimuthal quantum number (ℓ = 0, 1, …, n − 1) (also known as the angular quantum number or orbital quantum number) gives the orbital angular momentum through the relationL2 = ħ2 ℓ (ℓ + 1). In chemistry, this quantum number is very important, since it specifies the shape of an atomic orbital and strongly influences chemical bonds and bond angles. In some contexts, "ℓ= 0" is called an s orbital, "ℓ = 1" a p orbital, "ℓ = 2" a d orbital, and "ℓ = 3" an f orbital.The magnetic quantum number (ml = −ℓ, −ℓ + 1, …, 0, …, ℓ − 1, ℓ) yields the projection of the orbital angular momentum along a specified axis. Lz = mℓħ.The spin projection quantum number (ms = ±½), is the intrinsic angular momentum of the electron or nucleon. This is the projection of the spin s = ½ along the specified axis.
There is no single quantum number that will tell you the size of an atom.The best answer to the question is the principal quantum number n, though it isn't a particularly good answer. While in general atoms with high maximum n tend to be larger than atoms with low maximum n, this doesn't always hold true. For example, chlorine (highest n value 3) is actually slightly smaller than lithium (highest n value 2).Also, two atoms with the same maximum n can be significantly different in size.
n = 2, l = 0, ml = 0, ms = -1/2 Only the radial function R(r) of the Schrodinger wave function (psi) is needed to calculate the Energy. The radial function only deals with the principle quantum number (n). Therefore, only n is required to find the Energy. As to find the Energy states, one must specify if we are dealing with a one-electron atom situation or multiple-electron system. For one-electron atoms, the Energy states is determined by the principle quantum number (n). For multi-electron systems, the Energy states depend on both the principle quantum number (n) and orbital quantum number (l). This explanation is valid unless we are using very high resolution spectroscopic techniques, deviations will appear.
f orbital corresponds to n=4. l = n-1 = 3. The magnetic quantum numbers run from -l to l, or -3, -2,... 3. Thus there are seven possible magnetic quantum numbers, or seven orbitals. Since each orbital has 2 electrons max, an f orbital can hold 14 electrons.
An orbital can only occupy maximum of 2 electrons. As p orbital consist of 3 orbitals. And has 3 orientations. Px, Py, Pz. So as there are 3 orbitals so p orbital can occupy at the maximum 6 electrons regardless of principle quantum no.. In 4p 4 is principle quantum no. So it represent 4p represent the p orbital of 4th shell. So it also occupy at the maximum of 6 electrons.