what is the relationship between de Broglie's wavelength and momentum
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Quantization of angular momentum and deBroglie concepts :
According to the deBroglie
concept, the electron that revolves around
the nucleus exhibits both particle and
wave character. In order for the electron
wave to exist in phase, the circumference
of the orbit should be an integral multiple
of the wavelength of the electron wave.
Otherwise, the electron wave is out of
phase.
Circumference of the orbit = nλ
2πr = nλ ------------(2.10)
2πr = nh/mv
Rearranging, mvr = nh/2π -------
---(2.1)
Angular momentum = nh/2π
The above equation was already
predicted by Bohr. Hence, De Broglie and
Bohr’s concepts are in agreement with
each other.
11th Std Chemistry
According to the deBroglie
concept, the electron that revolves around
the nucleus exhibits both particle and
wave character. In order for the electron
wave to exist in phase, the circumference
of the orbit should be an integral multiple
of the wavelength of the electron wave.
Otherwise, the electron wave is out of
phase.
Circumference of the orbit = nλ
2πr = nλ ------------(2.10)
2πr = nh/mv
Rearranging, mvr = nh/2π -------
---(2.1)
Angular momentum = nh/2π
The above equation was already
predicted by Bohr. Hence, De Broglie and
Bohr’s concepts are in agreement with
each other.
11th Std Chemistry
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debroglies wave length is inversely proportional to momentum
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