Either +1/2 or -1/2; the fourth quantum number is ALWAYS either +1/2 or -1/2 and it's not generally possible to say which (other than that two electrons in the same atom which have the same first three quantum numbers will always have different values for the fourth).
Ms = + 1/2
ms = -1/2
ms = +1/2
mi=0
The highest energy electron in a gallium atom would be found in the outermost shell, which is the fourth shell (n=4). The quantum number for this electron would be n=4, l=3, m_l=-3, m_s= +1/2.
Ms = + 1/2
The fourth quantum number, known as the spin quantum number (s), can take on values of +1/2 or -1/2. For a 1s¹ electron, which is the only electron in the 1s orbital, the spin quantum number can be either +1/2 or -1/2, depending on the orientation of its spin. Therefore, the fourth quantum number for a 1s¹ electron could be either +1/2 or -1/2.
ms = -1/2
ms = +1/2
mi=0
The highest energy electron in a gallium atom would be found in the outermost shell, which is the fourth shell (n=4). The quantum number for this electron would be n=4, l=3, m_l=-3, m_s= +1/2.
mi=0
The principal quantum number n = 3 and the azimuthal or orbital angular momentum quantum number would be l =1 .l = 1
The first quantum number (n) represents the energy level (shell), so for a 1s2 electron, it would have a value of 1.
The last electron in gold is located in the 6s orbital. Therefore, the quantum numbers for this electron would be n=6 (principal quantum number), l=0 (azimuthal quantum number), ml=0 (magnetic quantum number), and ms=+1/2 (spin quantum number).
The first quantum number is the principal quantum number, denoted by "n." In aluminum, the 3p1 electron would have a principal quantum number of n = 3, since it is in the third energy level orbiting the nucleus.
The second quantum number refers to the azimuthal quantum number, also known as the angular momentum quantum number. For an electron in the 1s orbital of phosphorus (1s2), the azimuthal quantum number is 0, which corresponds to an s orbital. Therefore, for a 1s2 electron in phosphorus, the second quantum number would be 0.