De Broglie Wavelength Calculator

Formula

The formula to calculate the De Broglie wavelength (λ) is:

\[ \lambda = \frac{h}{m \cdot v} \]

Where:

\( \lambda \) is the wavelength
\( h \) is Planck's constant (6.6262 × 10^-34 Js)
\( m \) is the mass (grams)
\( v \) is the velocity (m/s)

What is De Broglie Wavelength?

A De Broglie wavelength is a concept in quantum mechanics that states all matter exhibits wave-like behavior. The wavelength can be calculated using the De Broglie equation, which relates the wavelength to the mass and velocity of a particle.

Example Calculation

Let's assume the following values:

Mass (m): 1 g
Velocity (v): 1000 m/s

Using the formula to calculate the De Broglie wavelength:

\[ \lambda = \frac{6.6262 \times 10^{-34}}{1 \times 10^{-3} \cdot 1000} = \frac{6.6262 \times 10^{-34}}{1 \times 10^{-3} \cdot 1000} = 6.6262 \times 10^{-34} \text{ m} \]

The De Broglie Wavelength (λ) is approximately 6.63 × 10^-34 m.