def rotation_partition_function(moment_of_inertia: float, temperature: float) -> float: """ Calculates the rotational partition function for linear molecules. >>> round(rotation_partition_function(1e-46, 300), 4) 5.9275 >>> round(rotation_partition_function(2e-46, 300), 4) 11.855 >>> round(rotation_partition_function(-2e-46, 300), 4) Traceback (most recent call last): ... ValueError: Moment of inertia must be positive >>> round(rotation_partition_function(1e-46, -300), 4) Traceback (most recent call last): ... ValueError: Temperature must be positive """ if moment_of_inertia <= 0: raise ValueError("Moment of inertia must be positive") if temperature <= 0: raise ValueError("Temperature must be positive") k_B = 1.380649e-23 # Boltzmann constant h = 6.62607015e-34 # Planck's constant return (2 * math.pi * moment_of_inertia * k_B * temperature) / (h ** 2) if __name__ == "__main__": import doctest doctest.testmod(name="rotation_partition_function")