The de Broglie concept of matter waves is based on the idea that particles, like electrons or even larger objects, can exhibit wave-like properties. This concept was proposed by Louis de Broglie in 1924.
The formula for de Broglie wavelength (\(\lambda\)) of a particle is:
\[
\lambda = \frac{h}{p}
\]
Where:
- \(\lambda\) is the de Broglie wavelength.
- \(h\) is Planck's constant (\(h = 6.626 \times 10^{-34} \, \text{J·s}\)).
- \(p\) is the momentum of the particle, which is the product of the particle's mass (\(m\)) and its velocity (\(v\)): \(p = mv\).
So, the formula can also be written as:
\[
\lambda = \frac{h}{mv}
\]
This means that every particle, depending on its mass and velocity, has an associated wavelength. For large objects like a baseball, this wavelength is so tiny that it's not noticeable. But for tiny particles like electrons, the wavelength can be significant and influence their behavior in quantum mechanics.
Let me know if you need more details on how this applies!