The 15 microstates of an np2 electron configuration mL=+1 mL=0 mL=-1 ML MS MJ +2 0 +2 +1 +1 +2 +1 0 +1 0 +1 +1 0 0 0 +1 0 +1 +1 -1 0 0 0 0 0 -1 -1 0 0 0 -1 +1 0 -1 0 -1 -1 0 -1 -1 -1 -2 -2 0 -2 mL=+1 mL=0 mL=-1 ML MS MJ +2 0 +2 +1 +1 +2 +1 0 +1 0 +1 +1 0 0 0 +1 0 +1 +1 -1 0 0 0 0 0 -1 -1 0 0 0 -1 +1 0 -1 0 -1 -1 0 -1 -1 -1 -2 -2 0 -2 1D 2 mL=+1 mL=0 mL=-1 ML MS MJ +2 0 +2 +1 +1 +2 +1 0 +1 0 +1 +1 0 0 0 +1 0 +1 +1 -1 0 0 0 0 0 -1 -1 0 0 0 -1 +1 0 -1 0 -1 -1 0 -1 -1 -1 -2 -2 0 -2 mL=+1 mL=0 mL=-1 ML MS MJ +2 0 +2 +1 +1 +2 +1 0 +1 0 +1 +1 0 0 0 +1 0 +1 +1 -1 0 0 0 0 0 -1 -1 0 0 0 -1 +1 0 -1 0 -1 -1 0 -1 -1 -1 -2 -2 0 -2 3P 0 3P 1 3P 2 mL=+1 mL=0 mL=-1 ML MS MJ +2 0 +2 +1 +1 +2 +1 0 +1 0 +1 +1 0 0 0 +1 0 +1 +1 -1 0 0 0 0 0 -1 -1 0 0 0 -1 +1 0 -1 0 -1 -1 0 -1 -1 -1 -2 -2 0 -2 mL=+1 mL=0 mL=-1 ML MS MJ +2 0 +2 +1 +1 +2 +1 0 +1 0 +1 +1 0 0 0 +1 0 +1 +1 -1 0 0 0 0 0 -1 -1 0 0 0 -1 +1 0 -1 0 -1 -1 0 -1 -1 -1 -2 -2 0 -2 1S 0 Hund’s Rules allow us to rank order these states in energy: 1S 0 1D 2 E 3P 2 3P 1 3P 0 Ground state
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