6j Symbol Calculator

The 6j symbol is related to the coupling probability for three angular momenta.

It is valid when

• j_i ≥ 0
• l_i ≥ 0
• | j₁ - j₂ | ≤ j₃ ≤ j₁ + j₂ ("triangle relations")
• | l₂ - l₃ | ≤ j₁ ≤ l₂ + l₃
• | l₁ - l₃ | ≤ j₂ ≤ l₁ + l₃
• | l₁ - l₂ | ≤ j₃ ≤ l₁ + l₂

See any quantum physics textbook for details.

See also my 3j Symbol and 9j Symbol Calculators.