# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

12 Pages

### chapter-7

Course: PHYX 2710, Fall 2009
School: Utah State
Rating:

Word Count: 761

#### Document Preview

Moment Magnetic in a Magnetic Field =0 In a uniform magnetic field, a torque will force the magnetic moment to precess about the direction of B. In a non-uniform magnetic field, a force is generated along (or opposite to) the gradient of B. Fz = z dBz dz = B S Ag, H Stern-Gerlach (1922), Phipps-Taylor (1927) N l should lead to (2l+1) beams s should lead to 2 beams if s=1/2 Magnetic Moment and...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Utah >> Utah State >> PHYX 2710

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Moment Magnetic in a Magnetic Field =0 In a uniform magnetic field, a torque will force the magnetic moment to precess about the direction of B. In a non-uniform magnetic field, a force is generated along (or opposite to) the gradient of B. Fz = z dBz dz = B S Ag, H Stern-Gerlach (1922), Phipps-Taylor (1927) N l should lead to (2l+1) beams s should lead to 2 beams if s=1/2 Magnetic Moment and Angular Momentum N S B Potential energy of magnetic moment in a magnetic field B U m = B cos I A Magnetic moment of a current loop = IA Magnetic moment of an electron in a circular motion = efr 2 L = mvr = 2mfr 2 = Um = e L 2m Potential energy of an atom in a magnetic field B Let B || z-axis Lz = L cos = ml e Um = ml B B ml B 2m e LB cos 2m Bohr magneton=5.79x10-5 eV/T Electron Spin and Magnetic Moment Electron spin is a quantum mechanical property. Electron spin quantum number s = 1 2 Spin angular momentum S = s(s + 1) = Space quantization of electron spin z-component of spin angular momentum s z = ms = 2 Spin magnetic moment s = e S m 3 2 z-component of spin angular momentum sz = Gyromagnetic ratio for orbital angular momentum Gyromagnetic ratio for spin angular momentum e = B = 5.79 10 5 eV T 2m L = = e 2m e m S Energy ordering of quantum states in multi-e atoms The lower l states has more penetration of the inner electron cloud, hence the greater effective nuclear charge and lower the energy. f f d d p p s n=1 s 2 3 4 5 s p s d p s Electron Configurations of the Atoms Shells K (n=1) L (n=2) l 0 (s) 1 (p) 0 (s) 2 (d) 1 (p) 0 (s) 3 (f) 2 (d) 1 (p) 0 (s) 0 0, 1 0 0, 1, 2 0, 1 0 0, 1, 2, 3 0, 1, 2 0, 1 0 ml ms 1/2 (1/2)3 1/2 (1/2)5 (1/2)3 1/2 (1/2)7 (1/2)5 (1/2)3 1/2 Max.# of electrons Elements H, He (1s2) Li, Be, B, C, N, O, F, Ne (1s22s22p6) Ar (1s22s22p63s23p6) 2 6 2 10 6 2 14 10 6 2 M (n=3) N (n=4) Kr (1s22s22p63s23p63d104s2 4p6) Pauli exclusion principle: no two electrons in an atom can have the same set of quantum numbers (n, l, m, ms). Ionization Energy Ionization energy: the energy required to remove an electron from an atom For H, the ionization energy is E0=13.6 eV For He, without e-e interaction, electrons each binding energy is Z 2 E0 E1 = 2 = 4(13.6 ) = 54.4eV n But the experimental value is 24.6 eV. Screening effect: the outer electrons only see partially the positive ion core Binding energies of the alkali metals (2s, 3s, ..) are the lowest, and the closed shell inert gases are the highest. Total Angular Momentum for single-electron atoms Classically, total angular momentum J=S+L can be in any direction. Quantum mechanically J has the magnitude (expectation value) where j = l + s, l + s 1,...., l s j ( j + 1) z-components m j = j , j + 1,..., j 1, j L and S cannot be parallel J min > L S J max < L + S l=2, s =1/2 Spin-orbit Interaction L p e In electrons frame p e B B= 0 I 2r = 0 ef 2r = 0e L 4me r 3 0 = 4 10 7 Tm A For n=2, l=1, B~0.4 T The magnetic moment of the electron will interact with the magnetic B from the circulating proton to create a potential energy U = s B = sz B = B B S L B L S 2p3/2 2p 1s Fine-structure splitting For n=2, l=1, U~0.045 meV U=2B external j j-1 2p1/2 B L S -j+1 -j Zeeman effect Correction of energy levels of H atoms 3d 5 2 E3 Including the spin-orbit interaction 3 p1 2 E = 1 1 dV 4m 2 c 2 r dr 2 3s, 3p, 3d 3 p3 2 3d 3 2 3s1 2 SL = E2 2 p3 2 2 s1 2 2 p1 2 4m 2 c [ j ( j + 1) l (l + 1) s(s + 1)] 2...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Utah State - PHYX - 2710
Model for AtomsNucleus e p, n AtomAtoms are electrically neutral protons+ neutrons 1-10 fermi (fm) 1 fm=10-15 mAtomic number (Z)= number of protons 0.1 nm= 1 1 =10-10 mZ= number of electronsChemical properties are determined by electron confi
Utah State - PHYX - 2710
Maxwell-Boltzmann Distributionn ( ) = Ag ( ) e kTBoltzmann constant k = 8.617 105 eV K Boltzmann factor eV# of state at energy H atom: Rotational states:g ( ) = 2n 2 n = 13.6 n 2g ( ) = 2l + 1 n = l ( l + 1)2 N22IMolecular en
Utah State - PHYX - 3550
Problem 5.40 The energey of the mass when horizonantal is: E = m g L Potential energy is conserved. If the string goes slack, it will be slack directly above the pivot point. The condition for the rope being slack is tension being zero. This will occ
Utah State - PHYX - 3550
4.17 a) The displacement on both springs will be equal.b) The force on each spring will be equal.1114.18 3 2 4 2 4 2 42Inhomogeneous differential equation, so the solution will be 2 2 2 1 cos 0 2 0004.30 cos cos cossincos0 I
Utah State - PHYX - 3550
3.31The first step is to relate the motion of pulley 1 with the motion of pulley 2. l1 + l 2 + l 3 + l 4 = const l1 = x1 l 2 = x1 l 3 = x 2 l 4 = x1 x 2 l1 + l 2 + l3 + l 4 = 0 x1 + x1 x 2 x1 x 2 = 0 x1 = 2x 2 a1 = 2a 2 Looking at the FBDs: T
Utah State - PHYX - 3550
Problem 8.28 = 1 2 2==2 ==2 1 2 2 2===+1 2 2=2=1 2 22+1 2 2=1 8+1 4=3 8Conservation of energy dictates that: 1 2 1 2 = 3 8 6 8 3 8++=+2 1 2+2 6 8 = +Simplifying: + = + + 2 211 16 ==3
Utah State - PHYX - 3550
Problem 6.2701 2 1 2 1 21 21 21 22Leaving an equation of motion of: 220Giving an equation of motion of:Problem 6.43cos sin cos cos 1 2 2 L mR 2 2 2 Giving an equation of motion of: 2 cos cos 1 2 2 cos22 00For small the
Oregon - EC - 313
Today IS relation Money Market (chp. 4 Blanchard) Demand for Money Money Supply and the Federal Reserve Equilibrium Determination of interest rates LM curveNext step Model so far: simply a model of the market for goods and services, where I
Oregon - DIR - 07
Oregon - ECS - 1
ARCH 491/591Environmental Control Systems I Department of Architecture | University of Oregon | Winter 2007 Name: GTF:Project #3: Wall Assembly (20 points)Issued: Due: January 23, 2007 January 30, 2007 (at beginning of lecture)Objective: To dev
Oregon - ERICHMO - 2
Math2sI: Midte'ilfr'/TInstructions r This test is worth a total of L00 points and contains 6 pages. Please check that you have all your pagesin your test. o Show all your work in the space provided. No credit will be given to correct answerswith no
Oregon - GEO - 334
Geology 334: HOMEWORK 1Comparing Sediment Discharge and Denudation Rates: Ganges-Brahmaputra and Mississippi Rivers Due Date: Thursday October 9, 2008 As discussed in class, regional erosion and denudation rates can be determined by doing simple cal
Oregon - ECON - 424
1ECONOMETRICS 424/524 SECTION VII HETEROSCEDASTICITY I. Introduction A. recall heteroscedasticity 1. definition: Var(,i)= , i=1,.,n2. disturbances are pairwise uncorrelatedE[,']=F2S = 3. scaling S can usefully be expressed as4. Greene normali
Wyoming - RS - 4111
Field Spectroscopy Measuring Reflectance ManuallyOne way to generate reflectance spectra is to measure them in the lab or outdoors using instruments called field spectrometers, sometimes called radiometers or spectroradiometers. These devices measu
Wyoming - FALLCLINIC - 2007
Pearson Square Ration Formulation Suggested Format for SpreadsheetConcentrate (percent protein) a d Parts of concentrate in rationDesired protein percentcSupplement (percent protein)beParts of supplement in rationf Total parts in rat
Wyoming - FALLCLINIC - 2008
School _ Team members _ _ _ _ Fall Agricultural Mechanics Clinic/CDE 2008 Team ActivityWelcome! There are five parts to this activity. It is advised that your team discuss how you will organize your time and work so that more than one function can
Wyoming - FALLCLINIC - 2008
Name _ Number_ School_ Score_2008 Cowboy Invite Ag Mechanics ClinicEnergy Systems Skill You are a technician at the Wyoming Small Engines Service. A rancher has brought in a small Briggs &amp; Stratton engine from a liquid fertilizer transfer pump. Hi
Wyoming - FALLCLINIC - 2008
Name _ Number_ School_ Score_2008 Cowboy Invite Ag Mechanics ClinicMachinery Systems Skill You are the ranch manager for a 30,000 acre absentee owner ranch in Wyoming. The owner wants to be conservation minded yet make the ranch profitable. You ha
Wyoming - FALLCLINIC - 2007
A 1 2 3 4 5 6 7 Part A Questions 1. Machine Capacity 2. Capacity pounds 3. Tractor sizeB C D E Sample Spreadsheet FormatFGH(answer here) Capacity, (answer here) tons (answer here)(answer here)8 4. Clearance (answer here) 9 10 Part B 1 (
Wyoming - FALLCLINIC - 2008
Name _ Number_ School_ Score_2008 Cowboy Invite Ag Mechanics ClinicIndustry&amp;Marketing/Environment&amp;Natural Resources Skill You are the ranch manager for a 30,000 acre absentee owner ranch in Wyoming. The owner wants to be conservation minded yet ma
Wyoming - FALLCLINIC - 2007
Feedstuff CornCrude Protein TDN (decimel) percent Cost 0.88 0.8TDN/Ton 130 1760CP/Ton
Wyoming - FALLCLINIC - 2007
Name _ Number_ School_ Score_2007 Cowboy Invite Ag Mechanics ClinicIndustry and Marketing Systems Environmental and Natural Resources Systems The Over the Moon Cheese Factory has recently completed the construction of their new cheese gift shop. A
Wyoming - RS - 4111
Thermal Remote SensingDistinguishing materials on the ground using differences in emissivity and temperatureLandsat-based thermal change of Nisyros Island (volcanic)Thermal = Emitted Infrared IR = 0.76 um to 1000 um Reflective IR = 0.7 3.0 um
CSU Northridge - PDF - 589
Immunology and AIDS Human Immunodeciency Virus type 1 (HIV-1) The etiologic agent of acquired immunodeciency syndrome (AIDS) Probably originated in Sub-saharan Africa after crossing species barrier from Chimpanzees Three major groups for HIV-1 M
CSU Northridge - DWM - 3265
SYNCHRONIC ANALYSIS AND AST: UNDERSTANDING HOW TECHNICAL AND SOCIAL STRUCTURES ARE APPROPRIATED IN AN ELECTRONIC MEETINGDavid W. Miller Department of Accounting &amp; Information Systems California State University, Northridge Northridge, CA 91311-8372
CSU Northridge - COMP - 108
4/7/2008Java Programming: From Problem Analysis to Program Design, 3eChapter 4 Control Structures I: SelectionControl Structures Three methods of processing a program In sequence Branching Looping Branch: altering the flow of program execu
CSU Northridge - VCEED - 002
ENZYME QUESTION - 1994L. PETERSON/AP BIOLOGYEnzymes are biological catalysts. a. Relate the chemical structure of an enzyme to its specificity and catalytic activity. b. Design a quantitative experiment to investigate the influence of pH or tempe
Oregon - APP - 2007
Name:511G, 2007: Linguistics 511G, 2007: Applied Phonetics and PhonologyInstruction, Written assignment #1: History of Pronunciation Instruction, and Phomemic and Phonetic TranscriptionWeekend section: Due Saturday, 13 October, in class.Part I:
Oregon - EC - 202
Good A Good B Good CProduction Q1 Q2 4 6 5 3 6 8Prices P1 0.4 0.2 0.6 P2 0.3 0.5 0.8 Q1*P1 1.6 1 3.6 6.2 Q1*P2 1.2 2.5 4.8 8.5 Q2*P1 2.4 0.6 4.8 7.8 Q2*P2 1.8 1.5 6.4 9.7Real GDP Growth Year 1 base 25.80645 Real GDP Growth Year 2 base 14.11765
Oregon - LING - 351
# ! \$ ! ! ! ! . ' ! 0 ! *&amp; 1 #2&amp; #3 ! ' (! &amp; #2&amp; #3 ) )# 6 &amp; ! ! ! ) ! ! # +! ! ) 5 * &amp; ! ! ! ! &quot;# 5 ) ) ) 4 * / &amp; * &amp; ! ( / &amp; ) ! /. ) * ! ) ! ! * * ! ) / ) ! ! #' #% ! ! * &amp; &amp; ( ! #' # +! !!&quot; ! ! )&amp; &amp; ! ) ! * / /1 # ,&amp;&amp; ! ! ,*# ( ! ! #'
Oregon - EC - 202
Powered bySAVE THIS | EMAIL THIS | CloseBehind high gas prices: The refinery crunchWhen gasoline prices surge, a lack of refining capacity is often blamed. What's being done, and is it enough?By Steve Hargreaves, CNNMoney.com staff writer Apri
Oregon - DOC - 07
Oregon - SPAMFILES - 4
From Darin.furrow@msn.com Sun Mar 28 18:35:02 2004Return-Path: &lt;Darin.furrow@msn.com&gt;Received: from 62.68.48.108 ([62.68.48.108])by XXXXXXXX.XXXXXXX.XXX (8.12.11/8.12.11) with SMTP id i2T2Z0Q5005258for &lt;XXX@XXXXXXXX.XXXXXXX.XXX&gt;; Sun, 28 Mar 2
Cal Poly Pomona - PHY - 133
Physics 133Problem Set #4Professor MallinckrodtNote: You should always work though the relevant examples in the text before attempting the homework problems. You may also want to work out some of the odd black end of the chapter problems which
Dallas - SXB - 030200
Economics 4340 Professor McFarlinLabor Economics &amp; Human Resources University of Texas at Dallas Problem Set #1Problem 1: Fundamentals of the Labor Supply Model This problem has roots from your intermediate microeconomic class. Suppose that an in
Oregon - EG - 595
Linguistic Principles of English Grammar, ENG 595G #5 Study Questions #5Due in your first class meeting of week 7: Tuesday, November 13th, or Friday, November 16th. Topic: Tense, Aspect and Modality. Reading: Berk, Chapter 3: pp 130-145, plus three
Oregon - LING - 351
! &quot; \$ !# !# !* \$ + ! , . . . !. / % \$ !# % % !&amp; ' ( % ) % ! % % %! &quot; # \$ # \$ #! \$ # \$+ 2 0 1%3 3 53 34'! &quot; # % &amp; '6 #\$ ' \$( ' \$( ' \$( '%\$(!\$('\$() &quot;! !!!!%!%*+ &amp; \$( ' ('\$( '\$( '! &quot; #\$, . &amp; /
Oregon - LING - 351
! &quot; # % &quot;&amp; &quot;\$ &quot;\$ &quot;* % + , . ' ( ) !&quot; &quot;\$! &quot; + % \$ % \$ % 1 &amp; ( ) ) \$ ' / 0 # 1 % 1 &quot;+ 33 &quot; 22 5 8 + + 5 + + 5 : : 33 &quot; 22 33 &quot; 22 9 &quot; : &quot; 99&quot; 99&quot; &quot; &quot;4+ 4\$ \$ 4+ 4+ 4\$ 4+ 4+ 4\$ 4\$ 67 67 6/1&quot;' 1 &quot;' 67 &quot;' 1 &quot;' &quot;' &quot;' &quot;' &quot;' 1&quot;' &quot;';&quot; &amp; &quot;0 &quot;!&lt;&quot; &quot;
Oregon - MATH - 432
Assignment 8; Due Friday, March 10The previous two exercise sets covered lots of material. Well end the course with two short assignments. This one asks you to visualize an important family of three dimensional manifolds called lens spaces, and comp
Oregon - MATH - 432
Assignment 8; Due Friday, March 10Exercise 1: If p is in the interior of the ball, p is equivalent only to itself, so the interior of the ball automatically has a neighborhood homeomorphic to an open subset of R3 . There are many ways to deal with p
Duke - DSS - 7
Political Science 199 - D The Role of Intelligence in National Security Fall 2006 Duke UniversityJohn F. Cushman 404 Old Perkins Office Hours: 4:30-6:00, Tues. and Thurs. and by appointment Email Cushman@duke.edu Phone: 919-660-4311 Teaching Assist
UNL - D - 1
XIII. Additional Forms used- (if the form you need is not here, please see our web site)Additional Bundles FormPlease fill in the information below and FAX your order. The administrator or authorized person of the school agrees to pay the Americ
UNL - D - 1
XIII. Additional Bundles FormPlease fill in the information below and FAX your order. The administrator or authorized person of the school agrees to pay the American Mathematics Competitions for the following materials:School Name __ Address _ Cit
UNL - D - 1
USAMO 2004 Teacher Man anu USAMO 2004 Teacher ManualUSAMO UBLICA S-IV USAMO PUBLICATIONS ORDER FORMTo: All USAMO Exam Managers and Participants From: Steven Dunbar Congratulations on being selected to participate in the USAMO! If you have not alr
Maryville MO - STAT - 3500
STAT 3500 Name:QUIZ #1T. DeWeesScore:Show ALL work for ALL problems.1. A manager wishes to determine whether the mean times required to complete a certain task dier for the three levels of employee training. He randomly selected 10 employees
Temple - CHAPTERS - 1400
IntroductionIn 1931 George Samuel Schuyler (1895-1977) published the first successful satirical novel in African American literature. Entitled Black No More, the novel centers around Dr. Junius Crookman, an African American doctor who invents an ele
Temple - CHAPTERS - 1100
Western Kentucky University - UNIT - 203
Statistics: Study of Numerical Data I surveyed all of my math major advisees and asked: Including yourself, how many people are there in your immediate family? Everybody responded and here were the responses: 5 10 4 5 5 4 6 3 2 4 7 3Now analyze: Po
Western Kentucky University - UNIT - 203
Dr. Neal, Spring 2009MATH 203Covariance and CorrelationSuppose we have a set of paired measurements ( X , Y ). Eventually we will be testing whether or not the measurements are independent; i.e., whether or not one has absolutely no effect on t
FIU - SEMINAR - 0405
EARTH SCIENCES DEPARTMENT SEMINARDiatom Based Quantitative Reconstructions of Salinity Fluctuations in Florida Bay (Florida, USA) in the last 3000 yrs(Abstract)Anna WachnickaFriday, November 19th, PC 432 3:30 PMABSTRACT Florida Bay is a sh
FIU - STA - 3123
Chapter 13 Categorical Data Analysis 13.1 Categorical Data and the Multinomial ExperimentRecall Variable: _(numerical) variable (i.e. # of students, temperature, height,). _(non-numerical, categorical) variable (i.e. color of hair; brand of car; typ
FIU - STA - 3123
STA-3123: Intro to Statistics II, Sping2009 Section U01Class Schedule: MWF 10:00AM-10:50AM, W 11:00AM-11:50AM, TC140, Instructor: Dongmei An Office: DM-406A Phone: (305) 348-2088 E-mail: and@fiu.edu Office Hours: MWF 12:30PM-1:30PM or by appointment
FIU - STA - 3123
STA-3123: Intro to Statistics II (McClave, 10th Edition) Recommended ExercisesChapter 8: Section 8.1(p375) 8, 9, 11 Section 8.2(p381) 23, 24, 26, 27, 29, 31, Section 8.3(p388) 37, 39, 41, 43, 44, 47, 49, 52 Section 8.4(p394) 57, 59-64, 69 Section 8.
FIU - STA - 2023
Chapter 3 Probability 3.1 Events, sample space, and probability Basic definitions: An _is an act of observation that leads to a single outcome that cannot be predicted with certainty. A _(or simple event) is the most basic outcome of an experiment.
FIU - STA - 2023
STA-2023: Statistics for Business &amp; Economics, Fall 2008 Section U04Class Schedule: MW 7:50PM9:05PM, PC241 Instructor: Dongmei An Office: DM-406B Phone: (305) 348-2741 E-mail: and@fiu.edu Office Hours: MWF 12:30PM-1:30PM or by appointment. Webpage:
FIU - STA - 2023
STA 2023 Statistics for Business &amp; Economics Recommended exercises Chapter1:Homework: p25, 1.14-17, 21, 23,Chapter2:Section2.1: p46, 2.1 2.6 (odd), Section2.2: P57, 2.16, 17, 20, 21, Section2.3: P63, 2.33-36 Section2.4: p70, 2.37, 41, 43, 47 Sec
FIU - STA - 2023
Chapter 2 Methods for describing sets of data 2.1 Describing qualitative dataExample: A survey was conducted to study what kind sports the college students like best. Sport Baseball Basketball Football others frequency 20 20 40 20 Relative frequency
FIU - STA - 3123
STA-3123: Intro to Statistics II ( McClave, 10th Edition) Recommended ExercisesChapter 8: Section 8.2(p381) 18, 19, 23, 24, 26, 27, 29, 31, Section 8.3(p388) 37, 39, 41, 43, 44, 47, 48, 49, 52 Section 8.4(p394) 59-64, 69 Section 8.5(p402) 74, 75, 78
FIU - STA - 3123
Chapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses 9.1 The target parameter_: difference between two population means _: difference between two population proportions _: ratio of two population variances9.2 Co
FIU - STA - 3123
Chapter 10 Analysis of variance (ANOVA) 10.1 Elements of a designed experiment (p514)1. The _(dependent variable) is the variable of interest to be measured in the experiment. 2. _ are those variables whose effect on the response is of interest to t
FIU - STA - 3123
Chapter 11 Simple Linear Regression_: comparing means across groups _: presenting relationships among numeric variables11.1 Probabilistic Model_: The model hypothesizes an _ relationship between the variables. For example, y = 3.99 x , the cost o