6. Identify the element with the following quantum numbers: a) n=2 L=0 mL=0 ms=+1/2 b) n=2 L=1 mL=1 ms=-1/2 C) n=3 L=2 mL=0 ms=-1/2

To identify the elements with the given quantum numbers, we need to consider the following:<br /><br />a) n=2, L=0, mL=0, ms=+1/2<br />- n=2 indicates the second energy level.<br />- L=0 indicates an s-orbital.<br />- mL=0 indicates the s-orbital.<br />- ms=+1/2 indicates the spin-up state.<br /><br />The element with these quantum numbers is Hydrogen (H).<br /><br />b) n=2, L=1, mL=1, ms=-1/2<br />- n=2 indicates the second energy level.<br />- L=1 indicates a p-orbital.<br />- mL=1 indicates the p-orbital.<br />- ms=-1/2 indicates the spin-down state.<br /><br />The element with these quantum numbers is Boron (B).<br /><br />c) n=3, L=2, mL=0, ms=-1/2<br />- n=3 indicates the third energy level.<br />- L=2 indicates a d-orbital.<br />- mL=0 indicates the d-orbital.<br />- ms=-1/2 indicates the spin-down state.<br /><br />The element with these quantum numbers is Nickel (Ni).