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