How would you find how many orbitals a sublevel has?
1 Answer
You examine the range of allowed values of
For an atomic orbital, the angular momentum quantum number
#ul(l" "" ""shape/subshell")#
#0" "" "color(white)(.)s#
#1" "" "color(white)(.)p#
#2" "" "color(white)(.)d#
#3" "" "color(white)(.)f#
#4" "" "color(white)(.)g#
#5" "" "color(white)(.)h#
#6" "" "color(white)(.)i#
#7" "" "color(white)(.)k#
#vdots" "" "vdots#
#m_l = {-l, -l+1, . . . , 0, . . . , l-1, l}#
Each
#ul(l" "" ""shape/subshell"" "" ""Number of Orbitals")#
#0" "" "color(white)(.)s" "" "" "" "" "" "" "2(0)+1=1#
#1" "" "color(white)(.)p" "" "" "" "" "" "" "2(1)+1=3#
#2" "" "color(white)(.)d" "" "" "" "" "" "" "2(2)+1=5#
#3" "" "color(white)(.)f" "" "" "" "" "" "" "2(3)+1=7#
#4" "" "color(white)(.)g" "" "" "" "" "" "" "2(4)+1=9#
#5" "" "color(white)(.)h" "" "" "" "" "" "color(white)(..)2(5)+1=11#
#6" "" "color(white)(.)i" "" "" "" "" "" "" "2(6)+1=13#
#7" "" "color(white)(.)k" "" "" "" "" "" "color(white)(..)2(7)+1=15#
#vdots" "" "vdots" "" "" "" "" "" "color(white)(.)vdots#