Question

The complete orbital notation diagram of an atom is shown. Seven squares are shown aligned horizontally. Inside the first square from the left is shown one upwards pointing arrow and one downwards pointing arrow. In the second, third, fourth, fifth, and sixth squares is a pair each of upwards and downwards pointing arrows. The seventh square has a single upwards pointing arrow. Based on the diagram, what values can be assigned to the magnetic quantum number for the electrons in the atom? What information does this quantum number provide about the location of the electron?

Answer 1

Answer:

Explanation:The complete orbital notation diagram of an atom is shown. Seven squares are shown aligned horizontally. Inside the first square from the left is shown one upwards pointing arrow and one downwards pointing arrow. In the second, third, fourth, fifth, and sixth squares is a pair each of upwards and downwards pointing arrows. The seventh square has a single upwards pointing arrow. Based on the diagram, what values can be assigned to the magnetic quantum number for the electrons in the atom? What information does this quantum number provide about the location of the electron?

Answer 2

Value of magnetic quantum number for given orbital notation

Explanation:

• Let's first define the magnetic quantum numbers, it defines the orientation of an orbital in space of a given energy(n) and shape(l). It divide the subshell into orbitals which consists of electrons.
• It is denoted by $m_l$. There are 2l+1 orbitals in each subshell. The value of  $m_l$ is lie form -l to +l, here l is azimuthal quantum number.

        For l=0, s-subshell,     $m_l$ = 0                                    = 1 orbitals

        For l=1, p-subshell       $m_l$ = -1, 0, +1                           = 3 orbitals

        For l=2, d-subshell      $m_l$ = -2, -1, 0, +1, +2                = 5 orbitals

        For l=3, f-subshell        $m_l$ = -3, -2, -1, 0, +1, +2, +3    = 7 orbitals

• In orbital notations of an atom, these orbitals are represented as squares in which electrons are represented by upward and downward arrows.
• So, in given notation, seven squares represent 7 orbitals of f-subshell having magnetic quantum number values equal to -3, -2, -1, 0, +1, +2, +3.
• Single electron in seventh orbital represent paramagnetic nature.
• This quantum number tells the orientations of electrons in space.