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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")