Wave Particle Duality Final

Question 1

de Broglie Wavelength

Answer 1

λ = h/p

Question 2

Angular Momentum Quantisation Consequences (standing waves)

Answer 2

• Angular momentum is quantised so
• nh/2π = rp
• Sub de Broglie wavelength
• 2πr = nλ
• We can consider electrons in orbit as standing waves around the circumference of orbit

Question 3

Summary

Answer 3

• Electrons dont dissipate energy as it is modelled as a standing wave
• Classical Physics says the electron would dissipate energy and require infinite energy to stay in orbit
• The wave description and particle description are complementary. Both are required to model the nature correctly

Question 4

Braggs Law

Answer 4

• nλ = 2dsinθ
• 2θ = scattering angle