## Deriving DeBroglie Equation

$\lambda=\frac{h}{p}$

Jennifer1E
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### Deriving DeBroglie Equation

How is the DeBroglie wavelength equation derived from E=pc and E=h(frequency)?

Chem_Mod
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### Re: Deriving DeBroglie Equation

E=hc/λ and E=pc

Set the two equal to each other. The c will cancel from both sides, leaving you with what is essentially the de Broglie equation.

Diego Zavala 2I
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### Re: Deriving DeBroglie Equation

E=mc^2 & E=hf; therefore,

mc^2=hf (f=frequency)

mc^2=h(c/y) (y=lambda)

mc=h/y

mv=h/y Since in E=mc^2, c represents the speed of light we can then replace c with velocity and it follows that:

y=h/(mv)

y=h/p