Part of JPC-07 — Atomic Structure: Quantum Numbers & Electronic Config

De Broglie Hypothesis

by Notetube Official99 words4 views

lambda = hmv\frac{h}{mv} = hp\frac{h}{p}. All matter has wave properties, but wave character is significant only for microscopic particles. For electron accelerated through V volts: KE = eV = mv2mv^2/2. lambda = hsqrt\frac{h}{sqrt}(2meV) = 12.27/sqrt(V) angstroms. Connection to Bohr model: circumference of nth orbit = nlambda (standing wave condition). 2pir = nlambda proves Bohr's angular momentum quantisation: L = mvr = n*h2pi\frac{h}{2*pi}. For macroscopic objects (e.g., cricket ball, 0.15 kg at 30 m/s): lambda = 6.626x10^-$$\frac{34}{0.15x30} = 1.47 x 10^-34 m — far too small to detect. De Broglie's hypothesis was confirmed by Davisson and Germer's electron diffraction experiment.

Like these notes? Save your own copy and start studying with NoteTube's AI tools.

Sign up free to clone these notes