f-orbitals (l=3)

4f Orbitals (General Setting)

f_z3 = f_z(2z2 _{- 3x}2 _{- 3y}2₎ [m_l = 0]

f_xz2 = f_x(4z2 _{- x}2 _{- y}2₎ & f_yz2 = f_y(4z2 _{- x}2 _{- y}2₎ [m_l = ±1]

,

f_xyz & f_z(x2_-y2₎ [m_l = ±2]

,

f_x(x2_-3y2₎ & f_y(3x2_-y2₎ [m_l = ±3]

,

The different f-orbitals are shown here with their representation as general and xy-plane projections

VRML models of f-orbitals allow you to examine their form more closely