The calculation of the transmission coefficient typically involves solving the Schrödinger equation for a given potential barrier. For a simple rectangular barrier, the transmission coefficient T can be calculated using the formula: T = \frac{1}{1 + \frac{V_0^2 \sinh^2(k_2 a)}{4E(V_0 - E)}} where V0 is the barrier height, a is the barrier width, E is the particle energy, and k2 is the wave number inside the barrier. More complex barriers require numerical methods or approximations.
