氫軌域/物理

Single electron orbitals of the hydrogen atom which constitute simultaneous eigenstates of H, L² and L_z. Each orbital is aligned around the z-axis, but it remained a valid eigenfunction if rotated to any direction.

For real-valued orbitals, as convenient in chemistry, look at Hydrogen orbitals 3D real.

n = 1

• 
  n=1, l=0, m=0
• 
  n=1, l=0, m=0
• 
  n=1, l=0, m=0

n = 2

• 
  n=2, l=0, m=0
• 
  n=2, l=0, m=0
• 
  n=2, l=0, m=0

• 
  n=2, l=1, m=-1
• 
  n=2, l=1, m=0
• 
  n=2, l=1, m=1

n = 3

• 
  n=3, l=0, m=0
• 
  n=3, l=0, m=0
• 
  n=3, l=0, m=0

• 
  n=3, l=1, m=-1
• 
  n=3, l=1, m=0
• 
  n=3, l=1, m=1

• 
  n=3, l=2, m=-2
• 
  n=3, l=2, m=-1
• 
  n=3, l=2, m=0
• 
  n=3, l=2, m=1
• 
  n=3, l=2, m=2

n = 4

• 
  n=4, l=0, m=0
• 
  n=4, l=0, m=0
• 
  n=4, l=0, m=0

• 
  n=4, l=1, m=-1
• 
  n=4, l=1, m=0
• 
  n=4, l=1, m=1

• 
  n=4, l=2, m=-2
• 
  n=4, l=2, m=-1
• 
  n=4, l=2, m=0
• 
  n=4, l=2, m=1
• 
  n=4, l=2, m=2

• 
  n=4, l=3, m=-3
• 
  n=4, l=3, m=-2
• 
  n=4, l=3, m=-1
• 
  n=4, l=3, m=0
• 
  n=4, l=3, m=1
• 
  n=4, l=3, m=2
• 
  n=4, l=3, m=3

n = 5

• 
  n=5, l=0, m=0
• 
  n=5, l=0, m=0
• 
  n=5, l=0, m=0

• 
  n=5, l=1, m=-1
• 
  n=5, l=1, m=0
• 
  n=5, l=1, m=1

• 
  n=5, l=2, m=-2
• 
  n=5, l=2, m=-1
• 
  n=5, l=2, m=0
• 
  n=5, l=2, m=1
• 
  n=5, l=2, m=2

• 
  n=5, l=3, m=-3
• 
  n=5, l=3, m=-2
• 
  n=5, l=3, m=-1
• 
  n=5, l=3, m=0
• 
  n=5, l=3, m=1
• 
  n=5, l=3, m=2
• 
  n=5, l=3, m=3

• 
  n=5, l=4, m=-4
• 
  n=5, l=4, m=-3
• 
  n=5, l=4, m=-2
• 
  n=5, l=4, m=-1
• 
  n=5, l=4, m=0
• 
  n=5, l=4, m=1
• 
  n=5, l=4, m=2
• 
  n=5, l=4, m=3
• 
  n=5, l=4, m=4

n = 6

• 
  n=6, l=0, m=0
• 
  n=6, l=0, m=0
• 
  n=6, l=0, m=0

• 
  n=6, l=1, m=-1
• 
  n=6, l=1, m=0
• 
  n=6, l=1, m=1

• 
  n=6, l=2, m=-2
• 
  n=6, l=2, m=-1
• 
  n=6, l=2, m=0
• 
  n=6, l=2, m=1
• 
  n=6, l=2, m=2

• 
  n=6, l=3, m=-3
• 
  n=6, l=3, m=-2
• 
  n=6, l=3, m=-1
• 
  n=6, l=3, m=0
• 
  n=6, l=3, m=1
• 
  n=6, l=3, m=2
• 
  n=6, l=3, m=3

• 
  n=6, l=4, m=-4
• 
  n=6, l=4, m=-3
• 
  n=6, l=4, m=-2
• 
  n=6, l=4, m=-1
• 
  n=6, l=4, m=0
• 
  n=6, l=4, m=1
• 
  n=6, l=4, m=2
• 
  n=6, l=4, m=3
• 
  n=6, l=4, m=4

• 
  n=6, l=5, m=-5
• 
  n=6, l=5, m=-4
• 
  n=6, l=5, m=-3
• 
  n=6, l=5, m=-2
• 
  n=6, l=5, m=-1
• 
  n=6, l=5, m=0
• 
  n=6, l=5, m=1
• 
  n=6, l=5, m=2
• 
  n=6, l=5, m=3
• 
  n=6, l=5, m=4
• 
  n=6, l=5, m=5

Collections

• 
  orbitals with one radial node up to m=4
• 
  some orbitals with m≥0
• 
  m-eigenvalues and ±m superposition orbitals
• 
  All orbitals up to n=3
• 
  All orbitals up to n=4
• 
  Density Plots