Problem Set 1 Solutions


 Andrea Miller
 1 years ago
 Views:
Transcription
1 Chemistry 36 Dr. Jean M. Standard Problem Set Solutions. The first 4 lines in the visible region of atomic line spectrum of hydrogen atom occur at wavelengths of 656., 486., 434.0, and 40. nm (this is known as the Balmer series. Using Bohr s theory, show that these correspond to transitions in which the smaller integer in the equation is always n. Bohr s theory gives the following formula for the wavelengths in the atomic line spectrum of hydrogen, or λ $ me 4 ' $ % 8ε o h 3 c ( n % n λ R $ n ', % n ( ' ( where R is the Rydberg constant, cm. Note that in this equation n is always smaller than n (so that the wavelength is positive. Therefore, we would set n and try various integers greater than for the value of n. Substituting n and n 3, for example, leads to the result λ R $ ' % 3 ( ( cm $ 4 ' % 9 ( λ 54.3cm. Converting to wavelength by taking the inverse of both sides and converting to nm, we get λ 54.3cm % cm ' cm ( 07 nm λ 656.nm. Note that this value closely matches the first wavelength listed in the problem. ( *
2 . Continued We can now carry out similar calculations for n and n 4, 5, and 6 to see if these transitions match the other wavelengths listed in the problem. The results are summarized in the table below. n n Calculated wavelength (nm Experimental wavelength (nm As can be seen from the table, the calculated wavelengths are in good agreement with the experimental wavelengths for n and n 3, 4, 5, and 6.. The ionization potential of an atom is defined as the energy required to completely remove an electron. Using Bohr's theory, calculate the ionization potential of the hydrogen atom. The ionization potential (IP is the energy required to remove an electron from the first orbit (n to infinite separation (n, IP E n E n. From the Bohr theory, the energy levels of the hydrogen atom are E n m e 4 8ε o n h. Substituting the expression for the Bohr energies into the equation for the ionization potential yields IP IP m e4 8ε o h ' m e 4 8ε o h. % ( * Substituting for the constants and converting from Joules to Electron Volts gives IP ( kg ( C 4 ( ( J s C J  m J IP 3.6 ev. $ ev ' % J (
3 3. Determine the absorption frequency in wavenumbers (cm for an electron in the hydrogen atom undergoing a transition from the n level to the n5 level. From the Bohr theory, the energy levels of the hydrogen atom are E n The energy difference between the n and n5 levels is m e 4 8ε o n h. ΔE E 5 E m e 4 8ε o 5 h % m e 4 ( ' 8ε o h * m e 4 % 8ε o h ( ' 5 * ( kg C ( 4 ( ( J s C J  m  % 4 ( ' * 5 ΔE J. To determine the absorption frequency, the photon energy, E photon hν, must be set equal to the energy spacing between the levels, E photon hν ΔE. Solving for the frequency and substituting yields, ν ΔE h J J s ν s . This result gives the frequency in s. To get the "frequency" in units of cm, the conversion is the speed of light, ν ( cm ( ν s  ( c cm/s s cm/s ν 3045 cm . 3
4 4. Show that Bohr's condition for the quantization of angular momentum in the hydrogen atom, n! mvr, can be obtained by requiring an integer number of standing waves around an electron orbit of radius r. (Hint: you also need to use the expression for the debroglie wavelength. To start, note that the circumference of an orbit of radius r is π r. If we require an integer number of waves with wavelength λ to fit around the circumference of the orbit, this leads to the condition: π r nλ. For matter, the debroglie wavelength is λ h p h. If we substitute this expression into the equation above, mv we get This equation can be rearranged to yield π r nh mv. m v r nh π, which is the condition for quantization of angular momentum. 4
5 5. Data for the photoelectric effect experiment on sodium metal is given below. Use this data to determine a value for Planck's constant, h, and the work function φ for sodium metal. Report your result for h in units of Jouleseconds, and your value of φ in electron volts (ev. Photon Frequency Electron Kinetic Energy (s (ev From the equation KE hν φ, it is easy to see that a plot of KE on the yaxis vs. frequency on the xaxis should yield a straight line with slope h and intercept φ. The graph is shown in the figure below..5 KE (ev frequency (sec 5
6 5. Continued From the fit of a linear trendline, the graph has a slope of ev s and an intercept of.63 ev. Therefore, using the conversion factor ev J, we get Planck's constant h from the slope: h J s (close to the literature value of J s. From the intercept (which is φ, we get the work function: φ.63 ev. Note that, if you did not plot the points, you could use any two of the points and solve two equations for two unknowns to get h and φ. Your numerical values will be slightly different in that case. 6. The threshold wavelength for the ejection of photoelectrons from sodium metal is 540 Å. Calculate the velocity of photoelectrons ejected by light of wavelength 4000 Å. The threshold frequency ν 0 is the frequency at which the ejected electrons have zero kinetic energy: KE 0 hν 0 φ, or ν 0 φ h. We can use this equation to determine the work function of sodium metal. However, we are given the threshold wavelength and the equation above contains the threshold frequency. Since λν c, we can solve to get the threshold wavelength as λ 0 c ν 0. Substituting the expression for the threshold frequency, the equation becomes λ 0 hc φ. Solving for the work function φ gives φ hc λ 0 ( J s ms m φ J. ( ( 6
7 6. Continued Now, to get the velocity of ejected photoelectrons at frequencies other than the threshold, we use the equation KE hν φ. Substituting ν c /λ for the frequency and KE mv for the kinetic energy, we get This equation can be solved for the velocity to yield KE hν φ mv hc λ φ. v + , m % ' hc λ φ (. * 0 / /. Substituting λ 4000 Å ( or m and φ from above, and using the electron mass of m kg, the photoelectron velocity is v ( ( m/s ( * $, Js, kg % m + ' J / / (. / v m/s. 7
8 7. Using Bragg's Law, nλ d sinθ, determine the distance in Å between crystal planes in an atomic solid if electromagnetic radiation of frequency s incident at a 40º angle creates constructive interference fringes (assume n. Setting n and solving for the distance d yields d λ sinθ. Converting wavelength into frequency of light using the relation λ c /ν leads to the expression d c ν sinθ. Substituting, d c ν sinθ ( ms s ( sin( 40 o d m or 7.0 Å. 8
9 8. Calculate the debroglie wavelength of an electron in the first Bohr orbit in the hydrogen atom. Does quantum or classical mechanics apply to this electron? The debroglie wavelength is defined as λ h p h mv. The Bohr quantization condition for angular momentum is Solving the second equation for m v gives m v r n h π. m v nh π r. Substituting this into the debroglie wavelength expression leads to the relation λ πhr nh πr n. To get a numerical value for the debroglie wavelength, we use the expression from class for the quantized orbit, r ε on h π m e. Substituting this into the debroglie expression and using n for the lowest Bohr orbit leads to λ π n ε on h π m e ε o n h m e ( ( ( J s ( kg ( C C J  m  λ m or 3.3 Å. Since the debroglie wavelength is the same order of magnitude as the path that the electron travels (in this case, it equals the circumference of the orbit, π r, quantum mechanics should be applied to the electron. 9
BOHR S THEORY AND PHYSICS OF ATOM CHAPTER 43
1. a BOHR S THEORY AND PHYSICS OF ATOM CHAPTER 3 1 h A T (ML T ) M L T 3 L me L MLT M(AT) M L T a has dimensions of length.. We know, 1/ 1.1 1 (1/n 1 1/n ) a) n 1, n 3 or, 1/ 1.1 1 (1/ 1/9) 36 or, 6.5
More informationTIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES. PHYS 3650, Exam 2 Section 1 Version 1 October 31, 2005 Total Weight: 100 points
TIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES PHYS 3650, Exam 2 Section 1 Version 1 October 31, 2005 Total Weight: 100 points 1. Check your examination for completeness prior to starting.
More informationPhotons. ConcepTest 27.1. 1) red light 2) yellow light 3) green light 4) blue light 5) all have the same energy. Which has more energy, a photon of:
ConcepTest 27.1 Photons Which has more energy, a photon of: 1) red light 2) yellow light 3) green light 4) blue light 5) all have the same energy 400 nm 500 nm 600 nm 700 nm ConcepTest 27.1 Photons Which
More informationThe Phenomenon of Photoelectric Emission:
The Photoelectric Effect. The Wave particle duality of light Light, like any other E.M.R (electromagnetic radiation) has got a dual nature. That is there are experiments that prove that it is made up of
More informationChemistry 102 Summary June 24 th. Properties of Light
Chemistry 102 Summary June 24 th Properties of Light  Energy travels through space in the form of electromagnetic radiation (EMR).  Examples of types of EMR: radio waves, xrays, microwaves, visible
More informationemission of light from atoms discrete line spectra  energy levels, FranckHertz experiment
Introduction Until the early 20 th century physicists used to explain the phenomena in the physical world around them using theories such a mechanics, electromagnetism, thermodynamics and statistical physics
More informationCalculating particle properties of a wave
Calculating particle properties of a wave A light wave consists of particles (photons): The energy E of the particle is calculated from the frequency f of the wave via Planck: E = h f (1) A particle can
More information5.111 Principles of Chemical Science
MIT OpenCourseWare http://ocw.mit.edu 5.111 Principles of Chemical Science Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. 5.111 Lecture Summary
More informationBohr s Model and Emission Spectra of Hydrogen and Helium
PHYS01 LAB03 Bohr s Model and Emission Spectra of Hydrogen and Helium 1. Objective The objective of this experiment is to study the emission spectrum of hydrogen and to understand its origin in terms
More informationEmission Spectra of Elements
Fall 2003 Emission Spectra of Elements Purpose: To compare and contrast the emission spectra of various gases. Investigate quantitatively the emission spectrum of hydrogen and relate it to Bohr's theory
More informationAnswer: b. Answer: a. Answer: d
Practice Test IV Name 1) In a single slit diffraction experiment, the width of the slit is 3.1 105 m and the distance from the slit to the screen is 2.2 m. If the beam of light of wavelength 600 nm passes
More informationnm cm meters VISIBLE UVB UVA Near IR 200 300 400 500 600 700 800 900 nm
Unit 5 Chapter 13 Electrons in the Atom Electrons in the Atom (Chapter 13) & The Periodic Table/Trends (Chapter 14) Niels Bohr s Model Recall the Evolution of the Atom He had a question: Why don t the
More informationChapter 6 Electronic Structure of Atoms
Chapter 6 Electronic Structure of Atoms 1. Electromagnetic radiation travels through vacuum at a speed of m/s. (a). 6.626 x 26 (b). 4186 (c). 3.00 x 8 (d). It depends on wavelength Explanation: The speed
More informationATOMIC SPECTRA. Apparatus: Optical spectrometer, spectral tubes, power supply, incandescent lamp, bottles of dyed water, elevating jack or block.
1 ATOMIC SPECTRA Objective: To measure the wavelengths of visible light emitted by atomic hydrogen and verify the measured wavelengths against those predicted by quantum theory. To identify an unknown
More informationWave Function, ψ. Chapter 28 Atomic Physics. The Heisenberg Uncertainty Principle. Line Spectrum
Wave Function, ψ Chapter 28 Atomic Physics The Hydrogen Atom The Bohr Model Electron Waves in the Atom The value of Ψ 2 for a particular object at a certain place and time is proportional to the probability
More informationPRACTICE EXAM IV P202 SPRING 2004
PRACTICE EXAM IV P202 SPRING 2004 1. In two separate double slit experiments, an interference pattern is observed on a screen. In the first experiment, violet light (λ = 754 nm) is used and a secondorder
More informationAP Chemistry A. Allan Chapter 7 Notes  Atomic Structure and Periodicity
AP Chemistry A. Allan Chapter 7 Notes  Atomic Structure and Periodicity 7.1 Electromagnetic Radiation A. Types of EM Radiation (wavelengths in meters) 101 1010 108 4 to 7x107 104 101 10 10 4 gamma
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A photo cathode whose work function is 2.4 ev, is illuminated with white light that has
More informationChapter 7: The QuantumMechanical Model of the Atom
C h e m i s t r y 1 A : C h a p t e r 7 P a g e 1 Chapter 7: The QuantumMechanical Model of the Atom Homework: Read Chapter 7. Work out sample/practice exercises Suggested Chapter 7 Problems: 37, 39,
More informationPHOTOELECTRIC EFFECT AND DUAL NATURE OF MATTER AND RADIATIONS
PHOTOELECTRIC EFFECT AND DUAL NATURE OF MATTER AND RADIATIONS 1. Photons 2. Photoelectric Effect 3. Experimental Setup to study Photoelectric Effect 4. Effect of Intensity, Frequency, Potential on P.E.
More informationChapter 7. Quantum Theory and Atomic Structure
Chapter 7. Quantum Theory and Atomic Structure A problem arose in Rutherford s nuclear model. A nucleus and electron attract each other; to remain apart the electron must move. The energy of the electron
More informationChapter 6 Electromagnetic Radiation and the Electronic Structure of the Atom
Chapter 6 In This Chapter Physical and chemical properties of compounds are influenced by the structure of the molecules that they consist of. Chemical structure depends, in turn, on how electrons are
More informationInfrared Spectroscopy: Theory
u Chapter 15 Infrared Spectroscopy: Theory An important tool of the organic chemist is Infrared Spectroscopy, or IR. IR spectra are acquired on a special instrument, called an IR spectrometer. IR is used
More informationLight is a type of electromagnetic (EM) radiation, and light has energy. Many kinds of light exist. Ultraviolet (UV) light causes skin to tan or burn.
Light and radiation Light is a type of electromagnetic (EM) radiation, and light has energy. Many kinds of light exist. Ultraviolet (UV) light causes skin to tan or burn. Infrared (IR) light is used in
More informationAtomic structure The product of frequency and wavelength for all forms of electromagnetic radiation (light) is a constant, the speed of light c.
Chapter 5: Electrons in Atoms Light (Electromagnetic Radiation) Light has the properties of both waves and particles. Light waves carry energy through space. wavelength (λ) meters frequency (ν) Hz (s 1
More information13 What is the maximum number of electrons that can occupy the subshell 3d? a) 1 b) 3 c) 5 d) 2
Assignment 06 A 1 What is the energy in joules of an electron undergoing a transition from n = 3 to n = 5 in a Bohr hydrogen atom? a) 3.48 x 1017 J b) 2.18 x 1019 J c) 1.55 x 1019 J d) 2.56 x 1019
More informationChapter 18: The Structure of the Atom
Chapter 18: The Structure of the Atom 1. For most elements, an atom has A. no neutrons in the nucleus. B. more protons than electrons. C. less neutrons than electrons. D. just as many electrons as protons.
More informationExperiment #12: The Bohr Atom. Equipment: Spectroscope Hydrogen and Helium Gas Discharge Tubes, Holder, and Variac Flashlight
Experiment #12: The Bohr Atom Purpose: To observe the visible spectrum of hydrogen and helium and verify the Bohr model of the hydrogen atom. Equipment: Spectroscope Hydrogen and Helium Gas Discharge Tubes,
More informationName Date Class ELECTRONS IN ATOMS. Standard Curriculum Core content Extension topics
13 ELECTRONS IN ATOMS Conceptual Curriculum Concrete concepts More abstract concepts or math/problemsolving Standard Curriculum Core content Extension topics Honors Curriculum Core honors content Options
More informationChapter 5. Mendeleev s Periodic Table
Chapter 5 Perodicity and Atomic Structure Mendeleev s Periodic Table In the 1869, Dmitri Mendeleev proposed that the properties of the chemical elements repeat at regular intervals when arranged in order
More informationBohr's Theory of the Hydrogen Atom
OpenStaxCNX module: m42596 1 Bohr's Theory of the Hydrogen Atom OpenStax College This work is produced by OpenStaxCNX and licensed under the Creative Commons Attribution License 4.0 Abstract Describe
More informationChapter 13 Mass Spectrometry and Infrared Spectroscopy
Chapter 13 Mass Spectrometry and Infrared Spectroscopy Copyright 2011 The McGrawHill Companies, Inc. Permission required for reproduction or display. 1 Overview of Mass Spectrometry Mass spectrometry
More informationAP CHEMISTRY CHAPTER REVIEW CHAPTER 6: ELECTRONIC STRUCTURE AND THE PERIODIC TABLE
AP CHEMISTRY CHAPTER REVIEW CHAPTER 6: ELECTRONIC STRUCTURE AND THE PERIODIC TABLE You should be familiar with the wavelike properties of light: frequency ( ), wavelength ( ), and energy (E) as well as
More informationElectromagnetic Radiation
Activity 17 Electromagnetic Radiation Why? Electromagnetic radiation, which also is called light, is an amazing phenomenon. It carries energy and has characteristics of both particles and waves. We can
More informationhypothesis of Louis de Broglie (1924): particles may have wavelike properties
Wave properties of particles hypothesis of Louis de Broglie (1924): particles may have wavelike properties note: it took almost 20 years after noting that waves have particle like properties that particles
More informationThe Early History of Quantum Mechanics
Chapter 2 The Early History of Quantum Mechanics In the early years of the twentieth century, Max Planck, Albert Einstein, Louis de Broglie, Neils Bohr, Werner Heisenberg, Erwin Schrödinger, Max Born,
More informationChapters 2129. Magnetic Force. for a moving charge. F=BQvsinΘ. F=BIlsinΘ. for a current
Chapters 2129 Chapter 21:45,63 Chapter 22:25,49 Chapter 23:35,38,53,55,58,59 Chapter 24:17,18,20,42,43,44,50,52,53.59,63 Chapter 26:27,33,34,39,54 Chapter 27:17,18,34,43,50,51,53,56 Chapter 28: 10,11,28,47,52
More informationQuantum Mechanics and Atomic Structure 1
Quantum Mechanics and Atomic Structure 1 INTRODUCTION The word atom is derived from the Greek word, atomos, which means uncut or indivisible. It was Dalton (1808) who established that elementary constituents
More informationDetermining the Critical Potentials for Helium: The FranckHertz Experiment
Determining the Critical Potentials for Helium: The FranckHertz Experiment Trent H. Stein, Michele L. Stover, and David A. Dixon Department of Chemistry, The University of Alabama, Shelby Hall, Tuscaloosa,
More informationAtomic Structure Ron Robertson
Atomic Structure Ron Robertson r2 n:\files\courses\111020\2010 possible slides for web\atomicstructuretrans.doc I. What is Light? Debate in 1600's: Since waves or particles can transfer energy, what is
More informationRules for this test. Physics 222, Winter 2012 Final Exam April 16, 2012 Instructor: Scott Bergeson
Physics 222, Winter 2012 Final Exam April 16, 2012 Instructor: Scott Bergeson Rules for this test 1. This test is open book and open notes, including our class notes page online, and your homework solutions.
More informationDO PHYSICS ONLINE FROM QUANTA TO QUARKS QUANTUM (WAVE) MECHANICS
DO PHYSICS ONLINE FROM QUANTA TO QUARKS QUANTUM (WAVE) MECHANICS Quantum Mechanics or wave mechanics is the best mathematical theory used today to describe and predict the behaviour of particles and waves.
More informationAtomic Structure: Chapter Problems
Atomic Structure: Chapter Problems Bohr Model Class Work 1. Describe the nuclear model of the atom. 2. Explain the problems with the nuclear model of the atom. 3. According to Niels Bohr, what does n stand
More informationElectron Orbits. Binding Energy. centrifugal force: electrostatic force: stability criterion: kinetic energy of the electron on its orbit:
Electron Orbits In an atom model in which negatively charged electrons move around a small positively charged nucleus stable orbits are possible. Consider the simple example of an atom with a nucleus of
More informationCHAPTER 6: ANSWERS TO ASSIGNED PROBLEMS Hauser General Chemistry I revised 8/03/08
CHAPTER 6: ANSWERS TO ASSIGNED PROBLEMS Hauser General Chemistry I revised 8/03/08 6.9 What are the basic SI units for? (a) the wavelength of light meters, although colors are usually reported in 3 digit
More informationAtoms Absorb & Emit Light
Atoms Absorb & Emit Light Spectra The wavelength of the light that an element emits or absorbs is its fingerprint. Atoms emit and absorb light First Test is Thurs, Feb 1 st About 30 multiple choice questions
More informationReview of the isotope effect in the hydrogen spectrum
Review of the isotope effect in the hydrogen spectrum 1 Balmer and Rydberg Formulas By the middle of the 19th century it was well established that atoms emitted light at discrete wavelengths. This is in
More informationFinding The Energy of a Photon. F Scullion Some useful rearrangement triangles. Also note that 1 mole = 6.
1 Atomic Theory. Finding The Energy of a Photon F Scullion www.justchemy.com Some useful rearrangement triangles The Relationship between light and energy Converting frequency to wavelength Also note that
More informationAP* Atomic Structure & Periodicity Free Response Questions KEY page 1
AP* Atomic Structure & Periodicity ree Response Questions KEY page 1 1980 a) points 1s s p 6 3s 3p 6 4s 3d 10 4p 3 b) points for the two electrons in the 4s: 4, 0, 0, +1/ and 4, 0, 0,  1/ for the three
More information2. 빈공간 (empty space) 에서질량이 0 인 real photon이 pair production을할수없음을보이시오. photoelectron current 와 retarding potential 의관계를그래프를이용해설명하시오.
현대물리학 ( 김충선교수님 ) 2 차시험 2009. 05. 04 월요일 1. A photon whose energy equals the rest mass of the electron undergoes a Compton collision with an electron at rest. If the electron moves off at an angle of 60
More informationwhere h = 6.62 1034 J s
Electromagnetic Spectrum: Refer to Figure 12.1 Molecular Spectroscopy: Absorption of electromagnetic radiation: The absorptions and emissions of electromagnetic radiation are related molecularlevel phenomena
More informationA1_Lotukerfið og uppbygging atómanna
Instructor Solutions Manual for Chemistry for Engineering Students, 2 nd Edition 61 Lota_2 A1_Lotukerfið og uppbygging atómanna The Electromagnetic Spectrum 6.8 Which of the waves depicted here has the
More information1: Below you can see a computer generated image of a 2s orbital from Rutgers University website.
Quantum Mechanics of an H atom: 1: Below you can see a computer generated image of a 2s orbital from Rutgers University website. 2: Since the rest of the problems include alteration to the plot, it is
More informationPhysics 9 Fall 2009 Homework 7  Solutions
Physics 9 Fall 009 Homework 7  s 1. Chapter 33  Exercise 10. At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your answer
More informationAP PHYSICS C Mechanics  SUMMER ASSIGNMENT FOR 20162017
AP PHYSICS C Mechanics  SUMMER ASSIGNMENT FOR 20162017 Dear Student: The AP physics course you have signed up for is designed to prepare you for a superior performance on the AP test. To complete material
More informationSample Exercise 6.1 Concepts of Wavelength and Frequency
Sample Exercise 6.1 Concepts of Wavelength and Frequency Two electromagnetic waves are represented in the margin. (a) Which wave has the higher frequency? (b) If one wave represents visible light and the
More informationArrangement of Electrons in Atoms
CHAPTER 4 PRETEST Arrangement of Electrons in Atoms In the space provided, write the letter of the term that best completes each sentence or best answers each question. 1. Which of the following orbital
More informationTHE CURRENTVOLTAGE CHARACTERISTICS OF AN LED AND A MEASUREMENT OF PLANCK S CONSTANT Physics 258/259
DSH 2004 THE CURRENTVOLTAGE CHARACTERISTICS OF AN LED AND A MEASUREMENT OF PLANCK S CONSTANT Physics 258/259 I. INTRODUCTION Max Planck (18581947) was an early pioneer in the field of quantum physics.
More informationChapter 7: Electrons in Atoms. Electromagnetic Radiation
Chapter 7: Electrons in Atoms Dr. Chris Kozak Memorial University of Newfoundland, Canada 1 Electromagnetic Radiation Electric and magnetic fields propagate as waves through empty space or through a medium.
More informationCenter of Gravity. We touched on this briefly in chapter 7! x 2
Center of Gravity We touched on this briefly in chapter 7! x 1 x 2 cm m 1 m 2 This was for what is known as discrete objects. Discrete refers to the fact that the two objects separated and individual.
More informationHomework #10 (749508)
Homework #10 (749508) Current Score: 0 out of 100 Description Homework on quantum physics and radioactivity Instructions Answer all the questions as best you can. 1. Hewitt10 32.E.001. [481697] 0/5 points
More informationQuantum Atom: Atomic Structure, Electron Configuration, and Periodicity
Quantum Atom: Atomic Structure, Electron Configuration, and Periodicity Equations: λν = c E = hν E = hν energy of photon difference of energy levels λ = h/p p = mu (momentum and particle wavelength) debroglie
More informationChem 1A Exam 2 Review Problems
Chem 1A Exam 2 Review Problems 1. At 0.967 atm, the height of mercury in a barometer is 0.735 m. If the mercury were replaced with water, what height of water (in meters) would be supported at this pressure?
More informationLesson 33: Photoelectric Effect
Lesson 33: Photoelectric Effect Hertz Experiment Heinrich Hertz was doing experiments in 1887 to test some of Maxwell's theories of EMR. One of the experiments involved using a coil of wire as a receiver
More informationOutline. Chapter 6 Electronic Structure and the Periodic Table. Review. Arranging Electrons in Atoms. Fireworks. Atomic Spectra
Outline William L Masterton Cecile N. Hurley Edward J. Neth cengage.com/chemistry/masterton Chapter 6 Electronic Structure and the Periodic Table Light, photon energies and atomic spectra The hydrogen
More information5. The Nature of Light. Does Light Travel Infinitely Fast? EMR Travels At Finite Speed. EMR: Electric & Magnetic Waves
5. The Nature of Light Light travels in vacuum at 3.0. 10 8 m/s Light is one form of electromagnetic radiation Continuous radiation: Based on temperature Wien s Law & the StefanBoltzmann Law Light has
More informationPhysics 30 Worksheet # 14: Michelson Experiment
Physics 30 Worksheet # 14: Michelson Experiment 1. The speed of light found by a Michelson experiment was found to be 2.90 x 10 8 m/s. If the two hills were 20.0 km apart, what was the frequency of the
More informationHooke s Law and Simple Harmonic Motion
Hooke s Law and Simple Harmonic Motion OBJECTIVE to measure the spring constant of the springs using Hooke s Law to explore the static properties of springy objects and springs, connected in series and
More informationEmission of Light & Atomic Models 1
Emission of Light & Atomic Models 1 Objective At the end of this activity you should be able to: o Explain what photons are, and be able to calculate their energies given either their frequency or wavelength.
More informationBoyle s law  For calculating changes in pressure or volume: P 1 V 1 = P 2 V 2. Charles law  For calculating temperature or volume changes: V 1 T 1
Common Equations Used in Chemistry Equation for density: d= m v Converting F to C: C = ( F  32) x 5 9 Converting C to F: F = C x 9 5 + 32 Converting C to K: K = ( C + 273.15) n x molar mass of element
More informationLight as a Wave. The Nature of Light. EM Radiation Spectrum. EM Radiation Spectrum. Electromagnetic Radiation
The Nature of Light Light and other forms of radiation carry information to us from distance astronomical objects Visible light is a subset of a huge spectrum of electromagnetic radiation Maxwell pioneered
More informationSymmetric Stretch: allows molecule to move through space
BACKGROUND INFORMATION Infrared Spectroscopy Before introducing the subject of IR spectroscopy, we must first review some aspects of the electromagnetic spectrum. The electromagnetic spectrum is composed
More informationMultielectron atoms
Multielectron atoms Today: Using hydrogen as a model. The Periodic Table HWK 13 available online. Please fill out the online participation survey. Worth 10points on HWK 13. Final Exam is Monday, Dec.
More informationEnergy (J) 8E19 1.2E18 1.6E18 2E18
Spectrophotometry Reading assignment:. http://en.wikipedia.org/wiki/beerlambert_law Goals We will study the spectral properties of a transition metalcontaining compound. We will also study the relationship
More informationNanoelectronics. Chapter 2 Classical Particles, Classical Waves, and Quantum Particles. Q.Li@Physics.WHU@2015.3
Nanoelectronics Chapter 2 Classical Particles, Classical Waves, and Quantum Particles Q.Li@Physics.WHU@2015.3 1 Electron DoubleSlit Experiment Q.Li@Physics.WHU@2015.3 2 2.1 Comparison of Classical and
More informationPhys 2310 Wed. Sept. 21, 2016 Today s Topics
Phys 2310 Wed. Sept. 21, 2016 Today s Topics  Brief History of Light & Optics Electromagnetic Spectrum Electromagnetic Spectrum Visible, infrared & ultraviolet Wave/Particle Duality (waves vs. photons)
More informationUnit 2: Chemical Bonding and Organic Chemistry
Chemistry AP Unit : Chemical Bonding and Organic Chemistry Unit : Chemical Bonding and Organic Chemistry Chapter 7: Atomic Structure and Periodicity 7.1: Electromagnetic Radiation Electromagnetic (EM)
More informationSPECTROPHOTOMETRY. Blue. Orange
Appendix I FV /26/5 SPECTROPHOTOMETRY Spectrophotometry is an analytical technique used to measure the amount of light of a particular wavelength absorbed by a sample in solution. This measurement is then
More informationAtomic and Nuclear Physics Laboratory (Physics 4780)
Gamma Ray Spectroscopy Week of September 27, 2010 Atomic and Nuclear Physics Laboratory (Physics 4780) The University of Toledo Instructor: Randy Ellingson Gamma Ray Production: Co 60 60 60 27Co28Ni *
More informationTHE BOHR QUANTUM MODEL
THE BOHR QUANTUM MODEL INTRODUCTION When light from a lowpressure gas is subject to an electric discharge, a discrete line spectrum is emitted. When light from such a lowpressure gas is examined with
More information develop a theory that describes the wave properties of particles correctly
Quantum Mechanics Bohr's model: BUT: In 192526: by 1930s:  one of the first ones to use idea of matter waves to solve a problem  gives good explanation of spectrum of single electron atoms, like hydrogen
More informationCHARGED PARTICLES & MAGNETIC FIELDS  WebAssign
Name: Period: Due Date: Lab Partners: CHARGED PARTICLES & MAGNETIC FIELDS  WebAssign Purpose: Use the CP program from Vernier to simulate the motion of charged particles in Magnetic and Electric Fields
More informationLecture 1. The nature of electromagnetic radiation.
Lecture 1. The nature of electromagnetic radiation. 1. Basic introduction to the electromagnetic field: Dual nature of electromagnetic radiation Electromagnetic spectrum. Basic radiometric quantities:
More informationExperiment #5: Qualitative Absorption Spectroscopy
Experiment #5: Qualitative Absorption Spectroscopy One of the most important areas in the field of analytical chemistry is that of spectroscopy. In general terms, spectroscopy deals with the interactions
More informationThomson and Rayleigh Scattering
Thomson and Rayleigh Scattering Initial questions: What produces the shapes of emission and absorption lines? What information can we get from them regarding the environment or other conditions? In this
More informationIntroduction. Chapter 12 Mass Spectrometry and Infrared Spectroscopy. Electromagnetic Spectrum. Types of Spectroscopy 8/29/2011
Organic Chemistry, 6 th Edition L. G. Wade, Jr. Chapter 12 Mass Spectrometry and Infrared Spectroscopy Introduction Spectroscopy is an analytical technique which helps determine structure. It destroys
More informationFriday 18 January 2013 Morning
Friday 18 January 2013 Morning AS GCE PHYSICS B (ADVANCING PHYSICS) G492/01 Understanding Processes / Experimentation and Data Handling *G411640113* Candidates answer on the Question Paper. OCR supplied
More informationDoes Quantum Mechanics Make Sense? Size
Does Quantum Mechanics Make Sense? Some relatively simple concepts show why the answer is yes. Size Classical Mechanics Quantum Mechanics Relative Absolute What does relative vs. absolute size mean? Why
More informationPhysics 111 Homework Solutions Week #9  Tuesday
Physics 111 Homework Solutions Week #9  Tuesday Friday, February 25, 2011 Chapter 22 Questions  None MultipleChoice 223 A 224 C 225 B 226 B 227 B 229 D Problems 227 In this double slit experiment we
More information3.1 Photoelectricity AS13. 3.1 Photoelectricity 2
Photoelectricity Einstein s quantum explanation of the photoelectric effect  Einstein used Planck s quantum theory of radiation, (see Revision Card AS1), to explain photoelectric emission. He assumed
More informationCode number given on the right hand side of the question paper should be written on the title page of the answerbook by the candidate.
Series ONS SET1 Roll No. Candiates must write code on the title page of the answer book Please check that this question paper contains 16 printed pages. Code number given on the right hand side of the
More informationDetermination of Molecular Structure by MOLECULAR SPECTROSCOPY
Determination of Molecular Structure by MOLEULAR SPETROSOPY hemistry 3 B.Z. Shakhashiri Fall 29 Much of what we know about molecular structure has been learned by observing and analyzing how electromagnetic
More informationLab M1: The Simple Pendulum
Lab M1: The Simple Pendulum Introduction. The simple pendulum is a favorite introductory exercise because Galileo's experiments on pendulums in the early 1600s are usually regarded as the beginning of
More informationPhysical Chemistry. Tutor: Dr. Jia Falong
Physical Chemistry Professor Jeffrey R. Reimers FAA School of Chemistry, The University of Sydney NSW 2006 Australia Room 702 Chemistry School CCNU Tutor: Dr. Jia Falong Text: Atkins 9 th Edition assumed
More informationCALCULATION OF THE MASS OF THE NEUTRON AS AN ELECTRON AND A PROTON IN A SUBSTATE. James Keele, MSEE. Abstract
HADRONIC JOURNAL CALCULATION OF THE MASS OF THE NEUTRON AS AN ELECTRON AND A PROTON IN A SUBSTATE James Keele, MSEE 3313 Camino Cielo Vista, Santa Fe, NM 87505 email jkeele9@sisna.com Abstract The massenergy
More informationSpectrophotometry and the BeerLambert Law: An Important Analytical Technique in Chemistry
Spectrophotometry and the BeerLambert Law: An Important Analytical Technique in Chemistry Jon H. Hardesty, PhD and Bassam Attili, PhD Collin College Department of Chemistry Introduction: In the last lab
More informationAP1 Oscillations. 1. Which of the following statements about a springblock oscillator in simple harmonic motion about its equilibrium point is false?
1. Which of the following statements about a springblock oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The
More informationPhysics 1A Study Guide Examination for Acceleration (EA)/Credit by Exam (CBE)
263 Physics A Examination for Acceleration (EA)/Credit by Exam (CBE) The exam you are interested in taking is designed to test your proficiency in the relevant subject matter. You should be thoroughly
More informationEXPERIMENT: MOMENT OF INERTIA
OBJECTIVES EXPERIMENT: MOMENT OF INERTIA to familiarize yourself with the concept of moment of inertia, I, which plays the same role in the description of the rotation of a rigid body as mass plays in
More informationPhysics 9 Fall 2009 Homework 2  Solutions
Physics 9 Fall 009 Homework  s 1. Chapter 7  Exercise 5. An electric dipole is formed from ±1.0 nc charges spread.0 mm apart. The dipole is at the origin, oriented along the y axis. What is the electric
More information