{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Class22HO

# Class22HO - Class 22 The Hydrogen Atom and the Periodic...

This preview shows pages 1–12. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Class 22 The Hydrogen Atom and the Periodic Table Physics 106 Fall 2011 Press CTRL-L to view as a slide show. Last Time Last time we discussed: I Quick Overview of Quantum Mechanics I Blackbody Radiation I Photoelectric Effect I X-ray diffraction I Compton scattering I The Foundation of Quantum Mechanics Learning Outcomes Today we will discuss: I Uncertainty Principle Problems I Development of Atomic Models I The Bohr Model (some things are right) I The Schrödinger Model (almost right) A Problem Uncertainty Principle I An electron moving in the z direction passes through a slit that has a width Δ x = 1 μ m. I What is the uncertainty in the x component of its momentum? Δ p x Δ x ≈ h 4 π Δ p x ≈ h 4 π Δ x = 5 . 28 × 10- 29 kg m / s Uncertainty Principle I An electron moving in the z direction passes through a slit that has a width Δ x = 1 μ m. I What is the uncertainty in the x component of its velocity? Δ p x ≈ h 4 π Δ x = 5 . 28 × 10- 29 kg m / s Δ v x = Δ p x m = 57 . 9 m / s Uncertainty Principle I An electron moving in the z direction passes through a slit that has a width Δ x = 1 μ m. I If the electron velocity is 10000 m/s before it reaches the slit, it may likely be found at angles up to what value? Δ v x = 57 . 9 m / s θ ≈ . 332 ◦ Remember to convert radians to degrees! Uncertainty Principle I An electron moving in the z direction passes through a slit that has a width Δ x = 1 μ m. I If the electron velocity is 10000 m/s before it reaches the slit, it may likely be found at angles up to what value? I What is the electron wavelength? λ = h p = h mv = 7 . 28 × 10- 8 m Uncertainty Principle I What is the first minimum in its single slit diffraction pattern? λ = 7 . 28 × 10- 7 m λ = a sin θ ( order = 1 ) a θ ≈ λ This is exactly 4 π times the Uncertainty Principle result. Early Atomic Models Thompson Model of the Atom I J.J. Thomson’s model of the atom I A volume of positive charge I Electrons embedded throughout the volume I A change from Newton’s model of the atom as a tiny, hard, indestructible sphere Rutherford Model...
View Full Document

{[ snackBarMessage ]}

### Page1 / 48

Class22HO - Class 22 The Hydrogen Atom and the Periodic...

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online