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PLANCK_CONSTANT_JS = 6.62607015e-34 # Planck's constant in Joule-seconds
PLANCK_CONSTANT_EVS = 4.135667696e-15 # Planck's constant in eV-seconds
def de_broglie_wavelength(momentum: float, in_ev: bool = False) -> str:
"""
Calculates the de Broglie wavelength of a particle using the given momentum.
Parameters:
momentum (float): Momentum of the particle.
in_ev (bool, optional): True if momentum is in eV·s.
If False, momentum is in kg·m/s.
Returns:
str: The calculated de Broglie wavelength of the particle in meters,
formatted in scientific notation.
Raises:
ValueError: If the momentum is zero or negative.
Usage example:
>>> de_broglie_wavelength(1e-24)
'6.62607015e-10'
>>> de_broglie_wavelength(1e-24, True)
'4.13566770e+09'
>>> de_broglie_wavelength(0)
Traceback (most recent call last):
...
ValueError: Momentum can't be zero or negative.
>>> de_broglie_wavelength(-1e-24)
Traceback (most recent call last):
...
ValueError: Momentum can't be zero or negative.
>>> de_broglie_wavelength(5e-20)
'1.32521403e-14'
"""
if momentum <= 0:
raise ValueError("Momentum can't be zero or negative.")
wavelength = PLANCK_CONSTANT_EVS / momentum if in_ev else PLANCK_CONSTANT_JS / momentum
return f"{wavelength:.8e}"
if __name__ == "__main__":
import doctest
doctest.testmod()