## 3j Symbol Calculator

The 3j symbol is related to the coupling probability for two angular momenta.

It is valid when

- j
_{i} ≥ 0
- m
_{i} ≤ j_{i}
- m
_{1} + m_{2} + m_{3} = 0
- j
_{i}, m_{i} both integer or half-integer
- | j
_{1} - j_{2} | ≤ j_{3} ≤ j_{1} + j_{2} ("triangle relation")

See any quantum physics textbook for details.

See also my 6j Symbol and 9j Symbol Calculators.

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