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**Wave Properties Of Matter**

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- 58 - Chapter 4. **Wave** **Properties** **of** **Matter** Notes: • Most **of** the material in this chapter is taken from Thornton and Rex, Chapter 5, and “The Feynman Lectures on Physics – Vol.

De Broglie's postulate - **wave**-like **properties** **of** particles **Wave**-particle duality Electromagnetic radiation can exhibit both particle and **wave** **properties**.

**Wave** Packet Envelope The superposition **of** two waves yields a **wave** number and angular frequency **of** the **wave** packet envelope. The range **of** **wave** numbers and angular frequencies that produce the

**Matter** Waves Exactly what is an electron? Albert Einstein was puzzled about **matter**: “You know, it would be sufficient to understand the electron”.

1 7.2 **Wave** Nature **of** **Matter** De Broglie Wavelength Diffraction **of** electrons Uncertainty Principle **Wave** Function Tunneling **Wave** **properties** **of** **matter** Material particles behave as waves with a wavelength given by the De

THE DUALITY **OF** **MATTER** AND WAVES ABSTRACT A quantum measurement may detect a particle or a **wave**. The bias **of** the observer appears to influence the outcome

Answer: A **wave** is a disturbance that carries energy from place to place. A **wave** does NOT carry **matter** with it! It just moves the **matter** as it goes

1 8.2 **Wave** Nature **of** **Matter** De Broglie Wavelength Diffraction **of** electrons Uncertainty Principle **Wave** Function Tunneling **Wave** **properties** **of** **matter**

De Broglie **matter** waves should be described in the same manner as light waves. The **matter** **wave** should be a solution to a **wave** equation like the one

27 Chapter 3 **Wave** **Properties** **of** Particles Overview **of** Chapter 3 Einstein introduced us to the particle **properties** **of** waves in 1905 (photoelectric effect).

**Wave** Functions The is the complex valued function describing the **matter** **wave**. The **of** finding a particle with **wave** function at coordinate at time

he hypothesis **of** Louis de Broglie in 1924 that all material particles have **wave** **properties** is one **of** the basic tenets **of** quan-tum physics. The duality that particles propagate as waves, but

44) ketterle mit physics annual 2001 he hypothesis **of** Louis de Broglie in 1924 that all material parti-cles have **wave** **properties** is one **of** the basic tenets **of** quan-

**Wave** **Properties** Frequency (ν) is the number **of** waves that pass through a particular point in 1 ... have material **properties**, **matter** should exhibit **wave** **properties**. • He demonstrated that the relationship between mass and wavelength was λ= h mv

1 8.2 **Wave** Nature **of** **Matter** De Broglie Wavelength Diffraction **of** electrons Uncertainty Principle **Wave** Function Tunneling **Wave** **properties** **of** **matter** Material particles behave as waves with a wavelength

170 Chapter 6 • **Matter** Waves FIGURE 6.1 If an electron **wave** — whatever it may be — is pictured as circling around the atomic nucleus, its wavelength must fit an integer

5.2: De Broglie Waves Prince Louis V. de Broglie began studying the problems **of** the Bohr model in 1920. Particularly struck by the fact that photons had both **wave** and particle **properties**.

C. Know and apply concepts that describe **properties** **of** **matter** and energy and the interactions between them. ... • **Wave** **properties** and interactions can be manipulated for a specific purpose. Essential Questions: • How are sound and light like waves?

Physical Reality - On Dirac, Quaternions and the **Wave** Structure **of** **Matter** in Space Introduction It is well known amongst philosophers **of** science that pre-existing beliefs, dogmas, tend to blind us to

**Wave** **Properties** **of** Particles Louis deBroglie: If light is both a **wave** and a particle, why not electrons? In 1924 Louis de In 1924 Louis de BroglieBroglieBroglie suggested in his doctoral suggested in his doctoral dissertation that there is a **wave** connected with the moving

**WAVE**-PARTICLE DUALITY **of** **MATTER** Consequences (II)! Heisenberg Uncertainty Principle ... **properties** ! Title: Microsoft Word - 5.61_L06_F07_Wave-Particle2 Author: Robert G. Griffin Created Date: 9/3/2007 8:16:32 PM ...

**matter** most likely had **wave** **properties**. Using the equations above, and realizing that **matter** could not be traveling at the speed **of** light, but did indeed have a velocity, v, which could be substituted for the

Physical **Properties** **of** Light Electromagnetic **Wave** Some **properties**: wavelength * frequency = speed = c energy = h*frequency. ... **Properties** **of** **Matter**: Phases Triple Point **of** Water: Phase Coexistence Phase depends on: Temperature and Pressure.

**Matter** itself exhibits **wave** **properties** when traveling through space! de Broglie Wavelength When **matter** (protons, electrons, neutrons) moves through empty space, it behaves as a **wave** with wavelength defined by != h de Broglie p wavelength Momentum

that **matter** has **wave** **properties**. He made the conjecture that: and thus that Electrons passing through atomic spacing, or electrons in atoms, are confined to small spaces. What about big things? What are the **wave** **properties** **of** terrestrial things?

**Wave**-particle duality is one **of** the fundamental **properties** **of** **matter** and at the same time, one **of** the mysteries **of** modern physics. In this paper, ... Both corpuscular and **wave** **properties** **of** light can be observed by projecting the diffraction

29.5 The de Broglie Wavelength and the **Wave** Nature **of** **Matter** Neutron diffraction is a manifestation **of** the **wave**-like **properties** **of** particles. DR JJ UiTM-Cutnell & Johnson 7th ed. 35 29.5 The de Broglie Wavelength and the **Wave** Nature **of** **Matter**

Mechanical Waves • Mechanical waves can only travel through **matter**. – The **matter** through which a mechanical **wave** travels is called a medium.

Chapter 25. Modern Optics and **Matter** Waves This image **of** the individual atoms in a silicon crystal was made by exploiting the **wave** **properties** **of** electrons.

**WAVE**-PARTICLE DUALITY **of** **MATTER** Consequences (II) Heisenberg Uncertainty Principle Consider diffraction through a single slit xp x h 2 D S = s D = S s s l D x light, peak-null distance ... **properties** ! Title: 5.61_L06_F04.pdf Author: cc_ndhami Created Date:

693 **Wave** **Properties** If you drop a pebble into a pool **of** water, you notice how the water rises and falls as waves spread out in all directions. How could you

1 Spectroscopy • Spectroscopy = the interaction **of** electromagnetic radiation with **matter** What kind **of** information does it tell us? – Qualitative

Review Discussed **properties** **of** waves and particles Tried to apply the **wave** hypothesis **of** light to blackbody problem photoelectric effect

The **Wave** **Properties** **of** Particles Louis de Broglie Postulated: All forms **of** **matter** have both **wave** and particle **properties**, just like photons do. We know that for a photon: So for any particle: And the frequency **of** a particle: mv h p h

All moving **matter** has **wave** **properties** (Figure 1), with the wavelength being related to the momentum p by ... **wave** **properties** must be taken into account here as well. In analogy to the Huygens principle describing the diffraction **of** light, all atoms

**Matter** Waves PHYS140 **Matter** Waves 7 • Like photons and electrons, protons, neutrons, atoms, and even molecules have **wave** **properties** • Electrons have lowest mass

3 **Matter** **wave** packets The **wave** packed attached to a particle **of** mass m moving with velocity v0 can be represented as a superposition **of** many plane **wave** with λdistributed

Phase-coherent **matter**-**wave** ampliÞcation was demonstrated using Bose-Einstein—condensed rubidium-87 atoms. ... The coherence **properties** **of** the ampliÞed **matter** **wave**, studied with a **matter**-**wave** interferometer, were shown to be locked to those

**wave** **properties** energy, this leads us to a equation for **wave** and particle **properties** **of** **matter**, which gives successful theoretical base for Bohr's complementary principle and solve many drawbacks **of** De Broglies dual nature equation **of** **matter**.

Lesson: Waves and **Wave** **Properties** Sunlight that can cause sunburn. Ocean waves. Microwaves that pop popcorn. X-rays. Are these waves the same? How would you describe them?

2 EM waves in **matter** I Electromagnetic Waves and Optics 3 Index **of** Refraction Ł modified phase speed Ł define an ﬁindex **of** refractionﬂ Ł for most transparent materials,

Waves transfer energy by oscillation without transferring **matter**; **matter** disturbed by a **wave** returns to its original place. ii. **Wave** **properties**: wavelength, frequency, speed, crest, trough, amplitude iii. Two kinds **of** waves: transverse (for example, light) and longitudinal (for example, sound)

4 **Wave** **Properties** **of** the electron If light has particle **properties** (photons), can particles have **wave** **properties**? “**Matter** Waves” Based on the (Louis) DeBroglie Equation

**Wave** **Properties** (191-195) Draw a **Wave**: Lable: rest position, crest, amplitude, trough, wavelength (show 2 different places) ... How does the state **of** **matter** affect mechanical **wave** speed? (195) How does the state **of** **matter** affect electromagnetic **wave** speed? (195) **Wave** **Properties**

**of** **matter** , e.g. electron, have **wave** as wel l as particle **properties**, p = h / ? for all particles, f = E / h, ? = h / p ... to account **of** **wave** **properties** **of** particles when electron or photon interact with **matter**, exchange **of** energy and momentum, ...

**Wave** **Properties** Main Idea Waves can be described by their amplitude, wavelength, and frequency. SECTION 3 **Wave** Behavior ... In a compressional **wave**, **matter** in the medium moves forward and backward in the same direction as the **wave**. **Wave** **Properties** 1.

1 7.4 The Wavelike **properties** **of** the Electron • de Broglie’s hypothesis – all **matter** has wavelike **properties** – for a particle with mass, m , and velocity, v, the

Waves 8-6 The student will demonstrate an understanding **of** the **properties** and behaviors **of** waves. (Physical Science) 8-6.1 Recall that waves transmit energy but not **matter**.

**Properties** **of** Light • Waves, particles and EM spectrum • Interaction with **matter** • Absorption • Reﬂection, refraction and scattering

1.3 **Wave** **Properties** **of** **Matter** 1.3.1 De Broglie Waves and Low-energy Electron Diffraction (LEED) In 1924, Louis de Broglie proposed that all **matter** has **wave** **properties** and that the wavelength **of** the associated **wave** is related to the