Landau Theory. Many phase transitions exhibit similar behaviors: critical temperature, order parameter
|
|
|
- Silvester Patterson
- 5 years ago
- Views:
Transcription
1 Lndu ery Intrdutin Mny pse trnsitins exibit simir bevirs: riti temperture, rder prmeter n ne find rter simpe unifying tery tt gives gener penmengi verview f pse trnsitins? Sever ppres : Meur fied (Weiss ~95: sve te Srödinger equtin fr ne prtie system but wit n effetive intertin ptenti : Ĥ p V m Mirspi mde (Ising 9: sve te Srödinger equtin fr pseud spins n ttie wit effetive intertin Hmitnin restrited t first neigbrs Ĥ Ĥ J óió j i, j eff
2 Lndu ery Intrdutin Lndu ery : Express term dynmi ptenti s funtin f te rder prmeter (, its njugted extern fied ( nd temperture. Keep se t stbe stte minimum f energy pwer series expnsin, eg. ike: ( Find nd disuss minim f versus temperture nd extern fied. Lk t termdynmis prperties (tent et, speifi et, suseptibiity, et. in rder t ssify pse trnsitins
3 Lndu ery rken symmetry simpe D meni iustrtin : d E pt k ( k ( d x x et g wit d > : equiibrium psitin (minimum energy x =
4 Lndu ery rken symmetry simpe D meni iustrtin : d E pt k ( k ( d x x et g wit d < : equiibrium psitin (minimum energy x = x Order riti vue d = spntneus symmetry breking Ony irreversibe mirspi events wi mke te system sette t +x r x wen te system swy exnges energy wit extern wrd x d d
5 rken symmetry Lndu ery simpe D meni iustrtin : d x pt d E x ( k ( k yr expnsin f ptenti (esti energy d d d d x x d (d ( x d d (d (d ( E pt x k x k k k
6 rken symmetry Lndu ery simpe D meni iustrtin : d x pt d E x ( k ( k yr expnsin f ptenti (esti energy ( E E pt x O x x d (d d (d k nge sign t d=d!!! Des nt nge sign
7 Lndu ery Send Order Pse rnsitins = >> ( = ( << = stbe bve, unstbe bew
8 Lndu ery Send Order Pse rnsitins Sttinry sutin : & ( ( ( -
9 Lndu ery Send Order Pse rnsitins Free energy : ( - ( S( - S ( Entrpy : S N Ltent Het: S =
10 Lndu ery Send Order Pse rnsitins Speifi et : p S p -
11 Send Order Pse rnsitins Lndu ery Suseptibiity : ( ( ( eq ( ( - ( 3 urie w -
12 Lndu ery Send Order Pse rnsitins fied ysteresis : ( 3
13 Lndu ery Send Order Pse rnsitins SUMMRY One riti temperture N disntinuity f,, S (n tent et t Jump f p t Divergene f nd t Fied ysteresis
14 Lndu ery First Order Pse rnsitins: ( ( ( t frm nd rder > : = stbe >> = >> > > : = stbe metstbe > > : = metstbe stbe > : stbe
15 Lndu ery First Order Pse rnsitins: ( ( > : = stbe equ. > > : = stbe metstbe > > : = metstbe stbe > : stbe erm ysteresis
16 Lndu ery First Order Pse rnsitins: ( ( Stedy stte : +? imit wen ( (
17 ( First Order Pse rnsitins: Lndu ery ( 3 Stedy stte : = 3 3 (
18 ( First Order Pse rnsitins: Lndu ery ( Entrpy : = S S nd depend n! S -S = 8 3 S et Ltent
19 ( First Order Pse rnsitins: Lndu ery ( Speifi et : S S p = p p
20 ( First Order Pse rnsitins: Lndu ery ( Suseptibiity : 5 3 : = stbe unti dwn t 5 3 : - -
21 Lndu ery First Order Pse rnsitins SUMMRY Existene f metstbe pses emperture dmin ( fr existene f ig nd w temperture pses t ( < < bt ig nd w teperture pses re stbe emperture ysteresis Disntinuity f,, S (tent et, p, t
22 ririti pint Lndu ery In te frmism f first rder pse trnsitins, it n ppen tt prmeter nges sign under te effet f n extern fied. en tere is pint, wi is ed tririti pint, were =. e Lndu expnsin ten tkes te fwing frm: ( Equiibrium nditins : pur pur pur pur
23 Lndu ery ririti pint Ptenti : >: = >:
24 Lndu ery Entrpy : S S nd depend n! S-S S ririti pint >: = S >: S 3 S S
25 Lndu ery Speifi et : S p ririti pint >: = p >: p p 3 - p p
26 Lndu ery ririti pint Suseptibiity : 5 - >: = - >: -
MAT 1275: Introduction to Mathematical Analysis
1 MT 1275: Intrdutin t Mtemtil nlysis Dr Rzenlyum Slving Olique Tringles Lw f Sines Olique tringles tringles tt re nt neessry rigt tringles We re ging t slve tem It mens t find its si elements sides nd
7. SOLVING OBLIQUE TRIANGLES: THE LAW OF SINES
7 SOLVING OLIQUE TRINGLES: THE LW OF SINES n ique tringe is ne withut n nge f mesure 90 When either tw nges nd side re knwn (S) in the tringe r tw sides nd the nge ppsite ne f them (SS) is given, then
The Laws of Sines and Cosines
The Lws f Sines nd sines I The Lw f Sines We hve redy seen tht with the ute nge hs re: re sin In se is tuse, then we hve re h where sin 80 h 0 h sin 80 S re Thus, the frmu: 0 h sin y the Suppementry nge
Statistical modeling with stochastic processes. Alexandre Bouchard-Côté Lecture 11, Monday April 4
Sttistil mdeling with sthsti presses Alexndre Buhrd-Côté Leture 11, Mndy April 4 1 Prgrm fr tdy Bet, Pissn nd Gmm presses DDP nd sequene memizer 2 Pitmn-Yr press Pitmn-Yr press: Strt with the CRP, nd bst
Chapter 4 The debroglie hypothesis
Capter 4 Te debrglie yptesis In 194, te Frenc pysicist Luis de Brglie after lking deeply int te special tery f relatiity and ptn yptesis,suggested tat tere was a mre fundamental relatin between waes and
Math 124B January 24, 2012
Mth 24B Jnury 24, 22 Viktor Grigoryn 5 Convergence of Fourier series Strting from the method of seprtion of vribes for the homogeneous Dirichet nd Neumnn boundry vue probems, we studied the eigenvue probem
MAGIC058 & MATH64062: Partial Differential Equations 1
MAGIC58 & MATH646: Prti Differenti Equtions 1 Section 4 Fourier series 4.1 Preiminry definitions Definition: Periodic function A function f( is sid to be periodic, with period p if, for, f( + p = f( where
(4.2) -Richardson Extrapolation
(.) -Ricardson Extrapolation. Small-O Notation: Recall tat te big-o notation used to define te rate of convergence in Section.: Suppose tat lim G 0 and lim F L. Te function F is said to converge to L as
INDUCTANCE Self Inductance
DUCTCE 3. Sef nductance Cnsider the circuit shwn in the Figure. S R When the switch is csed the current, and s the magnetic fied, thrugh the circuit increases frm zer t a specific vaue. The increasing
Fundamental concept of metal rolling
Fundamental cncept metal rlling Assumptins 1) Te arc cntact between te rlls and te metal is a part a circle. v x x α L p y y R v 2) Te ceicient rictin, µ, is cnstant in tery, but in reality µ varies alng
4.2 - Richardson Extrapolation
. - Ricardson Extrapolation. Small-O Notation: Recall tat te big-o notation used to define te rate of convergence in Section.: Definition Let x n n converge to a number x. Suppose tat n n is a sequence
As we have already discussed, all the objects have the same absolute value of
Lecture 3 Prjectile Mtin Lst time we were tlkin but tw-dimensinl mtin nd intrduced ll imprtnt chrcteristics f this mtin, such s psitin, displcement, elcit nd ccelertin Nw let us see hw ll these thins re
On-Line Construction. of Suffix Trees. Overview. Suffix Trees. Notations. goo. Suffix tries
On-Line Cnstrutin Overview Suffix tries f Suffix Trees E. Ukknen On-line nstrutin f suffix tries in qudrti time Suffix trees On-line nstrutin f suffix trees in liner time Applitins 1 2 Suffix Trees A suffix
Lecture 17. Dielectric Materials
Lecture 17 Dielectric Materials 3/ 3 3 3/ 3/ 4 4 exp = = = e R R B B e B v c B g v c e k k k k E π π π Dielectric aterials play a large rle in electrnics. One exaple was te xide in te MOS structures. Als
Chapter Summary. Mathematical Induction Strong Induction Recursive Definitions Structural Induction Recursive Algorithms
Chapter 5 1 Chapter Summary Mathematical Inductin Strng Inductin Recursive Definitins Structural Inductin Recursive Algrithms Sectin 5.1 3 Sectin Summary Mathematical Inductin Examples f Prf by Mathematical
F Fou n even has domain o. Domain. TE t. Fire Co I. integer. Logarithmic Ty. Exponential Functions. Things. range. Trigonometric Functions.
Cve Functins Midterm 1 Review Plnmils Rtinl Functins Pwer Functins rignmetric Functins nverse rignmetric Functins Expnentil Functins Functins Dmin Lgrithmic Review Definitins nd bsic prperties Dmin f f
Function notation & composite functions Factoring Dividing polynomials Remainder theorem & factor property
Functin ntatin & cmpsite functins Factring Dividing plynmials Remainder therem & factr prperty Can d s by gruping r by: Always lk fr a cmmn factr first 2 numbers that ADD t give yu middle term and MULTIPLY
6-5. H 2 O 200 kpa 200 C Q. Entropy Changes of Pure Substances
Canges f ure Substances 6-0C Yes, because an ternally reversible, adiabatic prcess vlves n irreversibilities r eat transfer. 6- e radiatr f a steam eatg system is itially filled wit supereated steam. e
ALGEBRA 2/TRIGONMETRY TOPIC REVIEW QUARTER 3 LOGS
ALGEBRA /TRIGONMETRY TOPIC REVIEW QUARTER LOGS Cnverting frm Epnentil frm t Lgrithmic frm: E B N Lg BN E Americn Ben t French Lg Ben-n Lg Prperties: Lg Prperties lg (y) lg + lg y lg y lg lg y lg () lg
Analytical analysis and optimisation of the Rayleigh step slider bearing
Lougboroug University Institution Repository Anyti nysis nd optimistion of te Ryeig step sider bering Tis item ws submitted to Lougboroug University's Institution Repository by te/n utor. Cittion: RAHMANI,
Stage 6 PROMPT sheet. 2 > -2 We say 2 is bigger than -2-2 < 2 We say -2 is less than 2. 6/2 Negative numbers. l l l l l l l
Stage 6 PROMPT sheet 6/ Place value in numbers t 0millin The psitin f the digit gives its size Ten millins Millins Hundred thusands Ten thusands thusands hundreds tens units 4 5 6 7 8 Example The value
Special Vector Calculus Session For Engineering Electromagnetics I. by Professor Robert A. Schill Jr.
pecil Vect Clculus essin Engineeing Electmgnetics I Pfess et. cill J. pecil Vect Clculus essin f Engineeing Electmgnetics I. imple cmputtin f cul diegence nd gdient f ect. [peicl Cdinte stem] Cul Diegence
Math 9 Year End Review Package. (b) = (a) Side length = 15.5 cm ( area ) (b) Perimeter = 4xside = 62 m
Math Year End Review Package Chapter Square Rts and Surface Area KEY. Methd #: cunt the number f squares alng the side ( units) Methd #: take the square rt f the area. (a) 4 = 0.7. = 0.. _Perfect square
Fluid Flow through a Tube
. Theory through Tube In this experiment we wi determine how we physic retionship (so ced w ), nmey Poiseue s eqution, ppies. In the suppementry reding mteri this eqution ws derived s p Q 8 where Q is
( ) ( ) Pre-Calculus Team Florida Regional Competition March Pre-Calculus Team Florida Regional Competition March α = for 0 < α <, and
Flrida Reginal Cmpetitin March 08 Given: sin ( ) sin π α = fr 0 < α
SSM9435. P-Channel Enhancement Mode MOSFET FEATURES. Product Summary SO-8. ABSOLUTE MAXIMUM RATINGS (TA = 25 C unless otherwise noted)
Phnnel Enhncement Mde MOSFET Prduct Summry SO DS () ID () RDS(ON) (mω) Mx 7. @GS = 9 @GS =. D (,, 7, ) FETURES Super high density cell design fr lw RDS(ON). Rugged nd relible. SO pckge. Pb free. G () S(,,
PC1142 Introduction to Thermodynamics and Optics
NATIONAL UNIVERSITY OF SINGAPORE PC4 Intrductin t Thermdynmics nd Optics (Semester I: AY 06 7) Time Allwed: Hurs INSTRUCTIONS TO CANDIDATES Plese write yur mtricultin number in the nswer bklet D nt write
Copyright Paul Tobin 63
DT, Kevin t. lectric Circuit Thery DT87/ Tw-Prt netwrk parameters ummary We have seen previusly that a tw-prt netwrk has a pair f input terminals and a pair f utput terminals figure. These circuits were
Appendix I: Derivation of the Toy Model
SPEA ET AL.: DYNAMICS AND THEMODYNAMICS OF MAGMA HYBIDIZATION Thermdynamic Parameters Appendix I: Derivatin f the Ty Mdel The ty mdel is based upn the thermdynamics f an isbaric twcmpnent (A and B) phase
EF 152 Exam #3, Spring 2016 Page 1 of 6
EF 5 Exam #3, Spring 06 Page of 6 Name: Setion: Instrutions Do not open te exam until instruted to do so. Do not leave if tere is less tan 5 minutes to go in te exam. Wen time is alled, immediately stop
. Compute the following limits.
Today: Tangent Lines and te Derivative at a Point Warmup:. Let f(x) =x. Compute te following limits. f( + ) f() (a) lim f( +) f( ) (b) lim. Let g(x) = x. Compute te following limits. g(3 + ) g(3) (a) lim
2/5/13. y H. Assume propagation in the positive z-direction: β β x
/5/3 Retangular Waveguides Mawell s Equatins: = t jω assumed E = jωµ H E E = jωµ H E E = jωµ H E E = jωµ H H = jωε E H H = jωε E H H = jωε E H H = jωε E /5/3 Assume prpagatin in the psitive -diretin: e
(Preliminary version) Operating Junction and Storage Temperature Range SSP4060NL. N-Channel Enhancement Mode MOSFET FEATURES TO-220.
Nhnnel Enhncement Mde MOFET D () 6 FETURE Prduct ummry TO ID () RD(ON) (mω) Mx @ = 5 @ = 5 D uper high density cell design fr lw RD(ON). Rugged nd relible. TO pckge. Pb free. BOLUTE MXIMUM RTIN (T = 5
Quantum transport (Read Kittel, 8th ed., pp )
Quntum trnsport (Red Kittel, 8t ed., pp. 533-554) Wen we ve structure in wic mny collisions tke plce s crriers trnsport cross it, te quntum mecnicl pse of te electron wvefunctions is essentilly rndomized,
Drought damaged area
ESTIMATE OF THE AMOUNT OF GRAVEL CO~TENT IN THE SOIL BY A I R B O'RN EMS S D A T A Y. GOMI, H. YAMAMOTO, AND S. SATO ASIA AIR SURVEY CO., l d. KANAGAWA,JAPAN S.ISHIGURO HOKKAIDO TOKACHI UBPREFECTRAl OffICE
I I I I. NOBLm NOBLE NOBLE S1 JAMES CLAIMS MINING CORPORATION LTD GRID TOPOGRAPHY GEOLOGY 9 MINERAL CLAIMS LEGEND SYMBOL. 00 i. lo 0f 0 Iv SO.
j R m F me km P NDY R j MGNET DEN TN P v Q c P ME 8 c RBNTE d c PERMN ND PENNYVNN HE REEK GR P GEG EGEND e HGHY FTED RBNEU RGTE d GREY TE GREEN N EERVED FRM N T E FW TERED GREENTNE G v NBE NBE NBm c REEK
JEE-Main. Practice Test-3 Solution. Physics
JEE-Main Practice Test- Sutin Phsics. (d) Differentia area d = rdr b b q = d 0 rdr g 0 e r a a. (d) s per Gauss aw eectric fu f eectric fied is reated with net charge encsed within Gaussian surface. Which
The Second Law implies:
e Send Law ilie: ) Heat Engine η W in H H L H L H, H H ) Ablute eerature H H L L Sale, L L W ) Fr a yle H H L L H 4) Fr an Ideal Ga Cyle H H L L L δ reerible ree d Claiu Inequality δ eerible Cyle fr a
CW-ESR Spectral Fitting and Simulation. Zhichun Liang ACERT, Ithaca November 16, 2007
W-ES Spetra Fitting and Simatin Zhihn Liang AET thaa Nvember 16 007 Thery NLSL.OD fitting fr OD EPBS and LBS prning fr SLS NLSL.SLS fitting fr SLS NLSL_SLS_EXH fitting fr SLS with dynami exhange 1. THEOY
Statistical Physics. Solutions Sheet 5.
Sttistic Physics. Soutions Sheet 5. Exercise. HS 04 Prof. Mnfred Sigrist Ide fermionic quntum gs in hrmonic trp In this exercise we study the fermionic spiness ide gs confined in three-dimension hrmonic
Phys. 344 Ch 7 Lecture 8 Fri., April. 10 th,
Phys. 344 Ch 7 Lecture 8 Fri., April. 0 th, 009 Fri. 4/0 8. Ising Mdel f Ferrmagnets HW30 66, 74 Mn. 4/3 Review Sat. 4/8 3pm Exam 3 HW Mnday: Review fr est 3. See n-line practice test lecture-prep is t
Logarithms and Exponential Functions. Gerda de Vries & John S. Macnab. match as necessary, or to work these results into other lessons.
Logritms nd Eponentil Functions Gerd de Vries & Jon S. Mcn It is epected tt students re lred fmilir wit tis mteril. We include it ere for completeness. Te tree lessons given ere re ver sort. Te tecer is
qwertyuiopasdfghjklzxcvbnmqwerty uiopasdfghjklzxcvbnmqwertyuiopasd fghjklzxcvbnmqwertyuiopasdfghjklzx cvbnmqwertyuiopasdfghjklzxcvbnmq
qwertyuiopasdfgjklzxcbnmqwerty uiopasdfgjklzxcbnmqwertyuiopasd fgjklzxcbnmqwertyuiopasdfgjklzx cbnmqwertyuiopasdfgjklzxcbnmq Projectile Motion Quick concepts regarding Projectile Motion wertyuiopasdfgjklzxcbnmqwertyui
k BZ . Optical absorption due to interband transition therefore involves mostly vertical transitions :
Interband transitins (1 Optial Absrptin Spetra a Diret Transitins We had already seen that phtn BZ. Optial absrptin due t interband transitin therefre inles mstly ertial transitins : C V Use first-rder
u t = k 2 u x 2 (1) a n sin nπx sin 2 L e k(nπ/l) t f(x) = sin nπx f(x) sin nπx dx (6) 2 L f(x 0 ) sin nπx 0 2 L sin nπx 0 nπx
Chpter 9: Green s functions for time-independent problems Introductory emples One-dimensionl het eqution Consider the one-dimensionl het eqution with boundry conditions nd initil condition We lredy know
The Effect of Vapor Bubbles on the Stability of a Liquid Sheet
ILASS Americs, 19 th Annu Cnference n Liquid Atmiztin nd Spry Systems, Trnt, Cnd, My 006 The Effect f pr Bubbes n the Stbiity f Liquid Sheet L. Hdji 1, W. Schreiber *, P. Puzinuss, nd. Drmwr Deprtment
Compressibility Effects
Definitin f Cmpressibility All real substances are cmpressible t sme greater r lesser extent; that is, when yu squeeze r press n them, their density will change The amunt by which a substance can be cmpressed
REVIEW SHEET 1 SOLUTIONS ( ) ( ) ( ) x 2 ( ) t + 2. t x +1. ( x 2 + x +1 + x 2 # x ) 2 +1 x ( 1 +1 x +1 x #1 x ) = 2 2 = 1
REVIEW SHEET SOLUTIONS Limit Concepts and Problems + + + e sin t + t t + + + + + e sin t + t t e cos t + + t + + + + + + + + + + + + + t + + t + t t t + + + + + + + + + + + + + + + + t + + a b c - d DNE
GUC (Dr. Hany Hammad) 9/19/2016
UC (Dr. Hny Hmmd) 9/9/6 ecture # ignl flw grph: Defitin. Rule f Reductin. Mn Rule. ignl-flw grph repreenttin f : ltge urce. ive gle-prt device. ignl Flw rph A ignl-flw grph i grphicl men f prtryg the reltinhip
Chapter 8 Predicting Molecular Geometries
Chapter 8 Predicting Mlecular Gemetries 8-1 Mlecular shape The Lewis diagram we learned t make in the last chapter are a way t find bnds between atms and lne pais f electrns n atms, but are nt intended
PRE-BOARD MATHEMATICS-1st (Held on 26 December 2017)
P-B M 7-8 PRE-BOARD MATHEMATICS-st (Held n 6 Decemer 07) ANSWER KEY (FULL SYLLABUS) M.M : 80 Generl Instructins:. The questin pper cmprises f fur sectins, A, B, C & D.. All questins re cmpulsry.. Sectin
**YOU ARE NOT ALLOWED TO TAKE SPARE COPIES OF THIS EXAM FROM THE TESTING ROOM**
EM 24, Spring 2017 Midterm #2 Ian R. Gould MPLETE TIS SETIN : Up to TW PINTS will be removed for incorrect/missing information! PRINTED FIRST Answer Key Person on your LEFT (or Empty or Aisle) Person on
List... Package outline... Features Mechanical data... Maximum ratings... Electrical characteristics Rating and characteristic curves...
List List... Package utline... Features... Mechanical data... Maximum ratings... Electrical characteristics... 3 Rating and characteristic curves... 4~ Pinning infrmatin... 6 Suggested slder pad layut...
Math 20C Multivariable Calculus Lecture 5 1. Lines and planes. Equations of lines (Vector, parametric, and symmetric eqs.). Equations of lines
Mt 2C Multivrible Clculus Lecture 5 1 Lines nd plnes Slide 1 Equtions of lines (Vector, prmetric, nd symmetric eqs.). Equtions of plnes. Distnce from point to plne. Equtions of lines Slide 2 Definition
(2) Even if such a value of k was possible, the neutrons multiply
CHANGE OF REACTOR Nuclear Thery - Curse 227 POWER WTH REACTVTY CHANGE n this lessn, we will cnsider hw neutrn density, neutrn flux and reactr pwer change when the multiplicatin factr, k, r the reactivity,
Introduction: A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem
A Generalized apprach fr cmputing the trajectries assciated with the Newtnian N Bdy Prblem AbuBar Mehmd, Syed Umer Abbas Shah and Ghulam Shabbir Faculty f Engineering Sciences, GIK Institute f Engineering
Psychrometrics. 1) Ideal Mixing 2) Ideal Gas Air 3) Ideal Gas Water Vapor 4) Adiabatic Saturation
Psycretrics Idel Mixing Idel Gs Air Idel Gs Wter Vr 4 Adibtic Sturtin Idel Gs L IDEAL (PERFEC GAS LAW One( lef ny gs.4 liters. 6.0 0 SP AVOGADRO' S (t nd 0 BOLYES LAW CHARLES LAW lecules/le f C LAW gs
Section P.1 Notes Page 1 Section P.1 Precalculus and Trigonometry Review
Secion P Noe Pge Secion P Preclculu nd Trigonomer Review ALGEBRA AND PRECALCULUS Eponen Lw: Emple: 8 Emple: Emple: Emple: b b Emple: 9 EXAMPLE: Simplif: nd wrie wi poiive eponen Fir I will flip e frcion
Measurement and Instrumentation Lecture Note: Strain Measurement
0-60 Meurement nd Intrumenttin Lecture Nte: Strin Meurement eview f Stre nd Strin Figure : Structure under tenin Frm Fig., xil tre σ, xil trin, trnvere trin t, Pin' rti ν, nd Yung mdulu E re σ F A, dl
NUMERICAL DIFFERENTIATION
NUMERICAL IFFERENTIATION FIRST ERIVATIVES Te simplest difference formulas are based on using a straigt line to interpolate te given data; tey use two data pints to estimate te derivative. We assume tat
The evaluation of P, and T from these formulae indeed requires that the energy E be expressed as a function of the quantities N, V and S.
d dq, dq d d d, d d d d, e evlutio of, d from tese formule ideed requires tt te eerg be epressed s fuctio of te qutities, d. f (,,) is sould, i priciple, be possible oce is kow s fuctio of, d. f (,, )
Symmetry Labeling of Molecular Energies
Capter 7. Symmetry Labeling of Molecular Energies Notes: Most of te material presented in tis capter is taken from Bunker and Jensen 1998, Cap. 6, and Bunker and Jensen 2005, Cap. 7. 7.1 Hamiltonian Symmetry
MATHEMATICS SYLLABUS SECONDARY 5th YEAR
Eurpean Schls Office f the Secretary-General Pedaggical Develpment Unit Ref. : 011-01-D-8-en- Orig. : EN MATHEMATICS SYLLABUS SECONDARY 5th YEAR 6 perid/week curse APPROVED BY THE JOINT TEACHING COMMITTEE
OVERVIEW Using Similarity and Proving Triangle Theorems G.SRT.4
OVRVIW Using Similrity nd Prving Tringle Therems G.SRT.4 G.SRT.4 Prve therems ut tringles. Therems include: line prllel t ne side f tringle divides the ther tw prprtinlly, nd cnversely; the Pythgren Therem
EF 152 Exam #3, Fall, 2012 Page 1 of 6
EF 5 Exam #3, Fall, 0 Page of 6 Name: Setion: Guidelines: ssume 3 signifiant figures for all given numbers. Sow all of your work no work, no redit Write your final answer in te box provided - inlude units
Instructions: Show all work for complete credit. Work in symbols first, plugging in numbers and performing calculations last. / 26.
CM ROSE-HULMAN INSTITUTE OF TECHNOLOGY Name Circle sectin: 01 [4 th Lui] 02 [5 th Lui] 03 [4 th Thm] 04 [5 th Thm] 05 [4 th Mech] ME301 Applicatins f Thermdynamics Exam 1 Sep 29, 2017 Rules: Clsed bk/ntes
5 th grade Common Core Standards
5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin
Accelerated Chemistry POGIL: Half-life
Name: Date: Perid: Accelerated Chemistry POGIL: Half-life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng as
Chapter 3 Basic Crystallography and Electron Diffraction from Crystals. Lecture 9. CHEM 793, 2008 Fall
Cpte 3 Bsic Cystopy nd Eecton Diffction fom Cysts Lectue 9 Top of tin foi Cyst pne () Bottom of tin foi B Lw d sinθ n Equtions connectin te Cyst metes (,, ) nd d-spcin wit bem pmetes () ( ) ne B Lw d (nm)
SSD3030P. P-Channel Enhancement Mode MOSFET FEATURES. Product Summary TO-252. ABSOLUTE MAXIMUM RATINGS (TA = 25 C unless otherwise noted)
PChnnel Enhncement Mde MOFET Prduct ummry TO () I () R(ON) (mω) Mx @ = 3 3 5 @ = 5 55 @ =.5 FETURE uper high density cell design fr lw R(ON). Rugged nd relible. TO pckge. Pb free. BOLUTE MXIMUM RTIN (T
Solution to HW14 Fall-2002
Slutin t HW14 Fall-2002 CJ5 10.CQ.003. REASONING AND SOLUTION Figures 10.11 and 10.14 shw the velcity and the acceleratin, respectively, the shadw a ball that underges unirm circular mtin. The shadw underges
MAT 1275: Introduction to Mathematical Analysis
MAT 75: Intrdutin t Mthemtil Anlysis Dr. A. Rzenlyum Trignmetri Funtins fr Aute Angles Definitin f six trignmetri funtins Cnsider the fllwing girffe prlem: A girffe s shdw is 8 meters. Hw tll is the girffe
Content 1. Introduction 2. The Field s Configuration 3. The Lorentz Force 4. The Ampere Force 5. Discussion References
Khmelnik. I. Lrentz Fre, Ampere Fre and Mmentum Cnservatin Law Quantitative. Analysis and Crllaries. Abstrat It is knwn that Lrentz Fre and Ampere fre ntradits the Third Newtn Law, but it des nt ntradit
We name Functions f (x) or g(x) etc.
Section 2 1B: Function Notation Bot of te equations y 2x +1 and y 3x 2 are functions. It is common to ave two or more functions in terms of x in te same problem. If I ask you wat is te value for y if x
SCHMIDT THEORY FOR STIRLING ENGINES
SHMIDT THOY FO STILING NGINS KOIHI HIATA Musashin-jjutaku 6-10, Gakuen -6-1, Musashimurayama, Tky 08, Japan Phne & Fax: +81-45-67-0086 e-mail: khirata@gem.bekkame.ne.jp url: http://www.bekkame.ne.jp/~khirata
Death of a Salesman. 20 formative points. 20 formative points (pg 3-5) 25 formative points (pg 6)
Death f a Salesman Essential Questins: What is the American Dream? What des it mean t be successful? Wh defines what it means t be successful? Yu? Yur family? Sciety? Tasks/Expectatins Pints Yu will be
Electrochemical Cells
Electrchemistry invlves redx rectins. Terminlgy: Electrchemicl Cells Red-x rectin chemicl rectin where ne species underges lss f electrns nther species gins electrns. e - Cu(II)+ Cu(II) + (II) xidnt reductnt
Computational modeling techniques
Cmputatinal mdeling techniques Lecture 2: Mdeling change. In Petre Department f IT, Åb Akademi http://users.ab.fi/ipetre/cmpmd/ Cntent f the lecture Basic paradigm f mdeling change Examples Linear dynamical
Instructional Objectives:
Instructiona Objectives: At te end of tis esson, te students soud be abe to understand: Ways in wic eccentric oads appear in a weded joint. Genera procedure of designing a weded joint for eccentric oading.
PRINCE SULTAN UNIVERSITY Department of Mathematical Sciences Final Examination First Semester ( ) STAT 271.
PRINCE SULTAN UNIVERSITY Deprtment f Mthemticl Sciences Finl Exmintin First Semester (007 008) STAT 71 Student Nme: Mrk Student Number: Sectin Number: Techer Nme: Time llwed is ½ hurs. Attendnce Number:
18. (a) S(t) = sin(0.5080t- 2.07) (b) ~oo. (c)
Review Exercises fr Chapter P 5 1. (a) T =.985 x 10-p - 0.01p + 5.8p + 1.1 50 18. (a) S(t) = 5.7 + 5.7 sin(0.5080t-.07) ~ 0 110 150 (c) Fr T = 00 F, p,~ 8.9 lb/in.. (d) The mdel is based n data up t 100
Entropy, Free Energy, and Equilibrium
Nv. 26 Chapter 19 Chemical Thermdynamics Entrpy, Free Energy, and Equilibrium Nv. 26 Spntaneus Physical and Chemical Prcesses Thermdynamics: cncerned with the questin: can a reactin ccur? A waterfall runs
GEOMETRY Transformation Project
GEOMETRY Transfrmatin Prject T bring tgether the unit f transfrmatins, yu will be making a Gemetry Transfrmatins Prject based n yur interest. This prject is meant t give yu an pprtunity t explre hw transfrmatins
5.1 Properties of Inverse Trigonometric Functions.
Inverse Trignmetricl Functins The inverse f functin f( ) f ( ) f : A B eists if f is ne-ne nt ie, ijectin nd is given Cnsider the e functin with dmin R nd rnge [, ] Clerl this functin is nt ijectin nd
Chapter 2. Numerical Integration also called quadrature. 2.2 Trapezoidal Rule. 2.1 A basic principle Extending the Trapezoidal Rule DRAWINGS
S Cpter Numericl Integrtion lso clled qudrture Te gol of numericl integrtion is to pproximte numericlly. f(x)dx Tis is useful for difficult integrls like sin(x) ; sin(x ); x + x 4 Or worse still for multiple-dimensionl
Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems.
Building t Transfrmatins n Crdinate Axis Grade 5: Gemetry Graph pints n the crdinate plane t slve real-wrld and mathematical prblems. 5.G.1. Use a pair f perpendicular number lines, called axes, t define
A 2 ab bc ca. Surface areas of basic solids Cube of side a. Sphere of radius r. Cuboid. Torus, with a circular cross section of radius r
Sufce e f ic lid Cue f ide R See f diu 6 Cuid c c Elliticl cectin c Cylinde, wit diu nd eigt Tu, wit cicul c ectin f diu R R Futum, ( tuncted ymid) f e eimete, t e eimete nd lnt eigt. nd e te eective e
Objective of curve fitting is to represent a set of discrete data by a function (curve). Consider a set of discrete data as given in table.
CURVE FITTING Obectve curve ttg s t represet set dscrete dt b uct curve. Csder set dscrete dt s gve tble. 3 3 = T use the dt eectvel, curve epress s tted t the gve dt set, s = + = + + = e b ler uct plml
Statistical Physics. Solutions Sheet 11.
Statistical Physics. Solutions Sheet. Exercise. HS 0 Prof. Manfred Sigrist Condensation and crystallization in the lattice gas model. The lattice gas model is obtained by dividing the volume V into microscopic
Titelmaster. Geometrical and Kinematical Precise Orbit Determination of GOCE
Titelmaster Gemetrical and Kinematical Precise Orbit Determinatin f GOCE Akbar Shabanlui Institute f Gedesy and Geinfrmatin, University f Bnn 7th Octber 2010 Clgne, Germany Outline Precise Orbit Determinatin
Guide to Using the Rubric to Score the Myc/Max ON-SITE Build Model for Science Olympiad 2011 NATIONAL Tournament
Guide t Using the Rubric t Scre the Myc/Max ON-SITE Build Mdel fr Science Olympiad 2011 NATIONAL Turnament These instructins are t help the event supervisr and scring judges t use the rubric develped by
Journal of Theoretics
Jurnal f Teretis Vlue 6-1, Feb-Mar 00 Te Pssibility f Neutrins Deteted as Tayns Takaaki Musa usa@jda-trdi.g.j usa@jg.ejnet.ne.j M.R.I., 3-11-7-601, Naiki, Kanazawa-ku Ykaa, 36-0005, Jaan Abstrat: Reent
Beginning and Ending Cash and Investment Balances for the month of January 2016
ADIISTRATIVE STAFF REPRT T yr nd Tn uncil rch 15 216 SBJET Jnury 216 nth End Tresurer s Reprt BAKGRD The lifrni Gvernment de nd the Tn f Dnville s Investment Plicy require tht reprt specifying the investment
PH2200 Practice Exam I Summer 2003
PH00 Prctice Exm I Summer 003 INSTRUCTIONS. Write yur nme nd student identifictin number n the nswer sheet.. Plese cver yur nswer sheet t ll times. 3. This is clsed bk exm. Yu my use the PH00 frmul sheet
Guide to Using the Rubric to Score the Klf4 PREBUILD Model for Science Olympiad National Competitions
Guide t Using the Rubric t Scre the Klf4 PREBUILD Mdel fr Science Olympiad 2010-2011 Natinal Cmpetitins These instructins are t help the event supervisr and scring judges use the rubric develped by the
Introduction to statically indeterminate structures
Sttics of Buiding Structures I., EASUS Introduction to stticy indeterminte structures Deprtment of Structur echnics Fcuty of Civi Engineering, VŠB-Technic University of Ostrv Outine of Lecture Stticy indeterminte
Math 0310 Final Exam Review Problems
Math 0310 Final Exam Review Prblems Slve the fllwing equatins. 1. 4dd + 2 = 6 2. 2 3 h 5 = 7 3. 2 + (18 xx) + 2(xx 1) = 4(xx + 2) 8 4. 1 4 yy 3 4 = 1 2 yy + 1 5. 5.74aa + 9.28 = 2.24aa 5.42 Slve the fllwing
[COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t o m a k e s u r e y o u a r e r e a d y )
![[COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t o m a k e s u r e y o u a r e r e a d y )](/thumbs/96/127971145.jpg "[COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t o m a k e s u r e y o u a r e r e a d y )")
(Abut the final) [COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t m a k e s u r e y u a r e r e a d y ) The department writes the final exam s I dn't really knw what's n it and I can't very well
ECE 5318/6352 Antenna Engineering. Spring 2006 Dr. Stuart Long. Chapter 6. Part 7 Schelkunoff s Polynomial
ECE 538/635 Antenna Engineering Spring 006 Dr. Stuart Lng Chapter 6 Part 7 Schelkunff s Plynmial 7 Schelkunff s Plynmial Representatin (fr discrete arrays) AF( ψ ) N n 0 A n e jnψ N number f elements in
1) What is the reflected angle 3 measured WITH RESPECT TO THE BOUNDRY as shown? a) 0 b) 11 c) 16 d) 50 e) 42
Light in ne medium (n =.) enunters a bundary t a send medium (with n =. 8) where part f the light is transmitted int the send media and part is refleted bak int the first media. The inident angle is =