Question

In an atom the total number of electrons having quantum numbers n=|4|ml=1 and Ms =1/2 is?

Answer 1

Hi,

Here is the answer to your question:

Answer 2

Answer : The number of electrons in an atom can be, 3 electrons

Explanation :

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as $m_l$. The value of this quantum number ranges from $(-l\text{ to }+l)$. When l = 2, the value of $m_l$ will be -2, -1, 0, +1, +2.

Spin Quantum number : It describes the direction of electron spin. This is represented as $m_s$ The value of this is $+\frac{1}{2}$ for upward spin and $-\frac{1}{2}$ for downward spin.

As we are given that,

$n=4,m_l=1,m_s=+\frac{1}{2}$

So,

$l=1,2,3$

For l = 0, $m_l=0$

For l = 1, $m_l=-1,0,+1$

For l = 2, $m_l=-2,-1,0,+1,+2$

For l = 3, $m_l=-3,-2,-1,0,+1,+2,+3$

$m_s=+\frac{1}{2}$ (For each sub-shell)

From this we conclude that, there are 3 orbitals and each orbital contains 1 electrons. So, the number of electrons are, $3\times 1=3$ electrons.

Hence, the number of electrons in an atom can be, 3 electrons