CS 152 Computer Architecture and Engineering

Size: px
Start display at page:

Download "CS 152 Computer Architecture and Engineering"

Transcription

1 CS 152 Computr Architctur and Enginring Lctur 11 VLSI I John Lazzaro ( TAs: Td Hong and David Marquardt www-inst.cs.brkly.du/~cs152/

2 Last Tim: Piplin Hazard Rsolution ADD R4,R3,R2 OR R2,R3,R1 AND R2,R2,R1 Which do w forward from? ID (Dcod) EX IR IR IR MEM IR WE, MmToRg WB Mux,Logic rs1 rs2 ws wd RgFil WE rd1 rd2 From WB A M op A L U 32 Y M Data Mmory Addr Dout Din WE MmToRg R Ext B

3 Today: Stat Storag Tools on Silicon ICs Capacitanc: Holds stat as charg Transistors: How to mov charg Layout: How to fabricat your IC VLSI == Vry Larg Scal Intgration Th tall thin dsignr, with ft on th ground and had in th sky. Th ground: Physics and IC Fabrication Th sky: Architctur and Applications Carvr Mad

4 Capacitanc

5 Rcall: Building a capacitor Dilctric Top Plat Conducts lctricity wll. (mtal, dopd polysilicon) An insulator. Dos not conducts lctricity at all. (air, glass (silicon dioxid)) Bottom Plat Conducts lctricity wll (mtal, dopd polysilicon)

6 Rcall: Capacitors in action Bcaus th dilctric is an insulator, and dos not conduct. I = Aftr circuit sttls... Q = C V = C * 1.5 Volts (D cll) Q: Charg stord on capacitor C: Th capacitanc of th dvic: function of dvic shap and typ of dilctric. Aftr battry is rmovd: Still, Q = C * 1.5 Volts Capacitor rmmbrs charg 1.5V

7 Capacitors and currnt... Q = C V I V Diffrntiat with rspct to tim... if C!= C(t)... dq/dt = C dv/dt I is dfind as dq/dt... I = C dv/dt Obsrvation: If a voltag chang dv occurs in zro tim (dt = 0), th currnt I is infinit (impossibl). Th voltag across a capacitor cannot chang instantanously. And by Q = C V, th charg stord on a capacitor cannot chang instantanously.

8 Storing computational stat as charg Stat is codd as th amount of nrgy stord by a dvic V Stat is rad by snsing th amount of nrgy Problms: nois changs Q (up or down), parasitics lak or sourc Q. Fortunatly, Q cannot chang instantanously, but that only gts us in th ballpark.

9 How do w fight nois and win? Stor mor nrgy than w xpct from th nois. Q = CV. To stor mor charg, us a biggr V or mak a biggr C. Cost: Powr, chip siz. Exampl: 1 bit pr capacitor. Writ 1.5 volts on C. To rad C, masur V. V > 0.75 volts is a 1. V < 0.75 volts is a 0. Cost: Could hav stord many bits on that capacitor. Rprsnt stat as charg in ways that ar robust to nois. Corrct small stat rrors that ar introducd by nois. Cost: Complxity. Ex: rad C vry 1 ms Is V > 0.75 volts? Writ back 1.5V (ys) or 0V (no).

10 MOS Transistors Two diods and a capacitor in an intrsting arrangmnt. So, w bgin with a diod rviw...

11 Diods in action... Rsistor Light mitting diod (LED) Light on? Ys! Light on? No!

12 Diods: Currnt vs Voltag Anod + Diod is off I - Io Diod is on I Io xp(v/vo) I V - Cathod I = Io [xp(v/vo) - 1] Io rang: 1fA to 1nA Vo rang: 25mV to 60 mv

13 Making a diod on a silicon wafr

14 A pur ( intrinsic ) silicon crystal... Conducts lctricity bttr than an insulator, wors than a conductor. Why? Most lctrons (dots) ar in a full valnc band. Moving in th band is difficult. Espcially nar 0 dgrs K. Lots of room, but fw lctrons. Forbiddn band gap Conduction band Valnc band Many lctrons, but packd too tight to mov. l c t r o n n r g y

15 Intrinsic silicon crystal as T riss... Som valnc band lctrons diffus into th conduction band. Ths lctrons lav bhind hols in th valnc band, allowing rmaining lctrons to mov asir. Mor lctrons, bttr conduction Conduction band Valnc band W think of hols as positiv carrirs... l c t r o n n r g y

16 W nginr crystal with impuritis...

17 N-typ silicon: add donor atoms Us diffusion or ion implantation to rplac som of th Si atoms with As Arsnsic has an xtra lctron that is donats to th conduction band. n+ : havy doping. n- : light doping. Elctrons from donor atoms. Improvs conductivy. No chang in th numbr of hols Conduction band Donor nrgy Valnc band l c t r o n n r g y

18 P-typ silicon: add accptor atoms Us diffusion or ion implantation to rplac som of th Si atoms with Boron Boron has on fwr lctron than Si. It can accpt valnc band lctrons, crating hols. p+ : havy doping. p- : light doping. No chang in conduction band lctron count Conduction band Accptor nrgy Valnc band Numbr of hols incrasd, conductivity improvs l c t r o n n r g y

19 How to mak a silicon diod V Cathod: - Anod: + n+ p- Wafr cross-sction Wafr dopd p-typ p- rgion dpltion At V = 0, hill too high for rgion lctrons to diffus up. n+ rgion For hols, going downhill is hard. no carrirs V controls hill. dpltion rgion l c t r o n n r g y

20 Diods: Currnt vs Voltag Anod + Diod is off I - Io Diod is on I Io xp(v/vo) I V - Cathod I = Io [xp(v/vo) - 1] Io rang: 1fA to 1nA Vo rang: 25mV to 60 mv

21 Not: Diods ar biasd off! V1 V2 V1 n+ n+ V2 p- 0 V - ground V1, V2 > 0V. Diods off, only currnt is Io lakag. I = Io [xp(v/vo) - 1] Anods of all diods on wafr connctd to ground.

22 Admin: Tsting and Intrfacs on Friday Homwork 1: du Friday 3/4 Midtrm 1: Thurs 3/17, 6PM to 9PM

23 MOS Transistors Two diods and a capacitor in an intrsting arrangmnt...

24 What w want: th prfct switch. V1 n+ V1 Switch is off. V1 is not connctd to V2. p- Switch is on. V1 is connctd to V2. n+ p- V2 n+ V2 W want to turn a p-typ rgion into an n-typ rgion undr voltag control. W nd lctrons to fill valnc hols and add conduction band lctrons

25 An n-channl MOS transistor (nfet) Vd = 1V Vd = 1V I na n+ I µa n+ Vg = 0V dilctric p- Vg = 1V dilctric p- n+ Vs = 0V n+ Vs = 0V Polysilicon gat, dilctric, and substrat form a capacitor. nft is off (I is lakag ) Vg = 1V, small rgion nar th surfac turns from p-typ to n-typ. nft is on.

26 Drawing an nfet Mask drawings snt to th fabrication facility to mak th chips.

27 Mask st for an n-ft (circa 1986) Vg = 0V Vd = 1V I na n+ dilctric p- Vs = 0V Masks #1: n+ diffusion n+ #2: poly (gat) #3: diff contact #4: mtal Top-down viw: Layrs to do p-ft not shown. Modrn procsss hav mor 6 to 10 mtal layrs (in 1986: 2)

28 Dsign ruls for masks, Poly ovrhang. So that if masks ar misalignd, w still gt --- in channl. Minimum gat lngth. So that th sourc and drain dpltion rgions do not mt! lngth Mtal ruls: Contact sparation from channl, on fixd contact siz, ovrlap ruls with mtal, tc... #1: n+ diffusion #3: diff contact #2: poly (gat) #4: mtal

29 Lssons larnd Capacitors hold stat Smiconductor physics Drawing transistors

30 Lcturs: Coming up nxt... Transistor quations, basic mmory circuits. Mmory array structurs and intrfacs. Th mmory hirarchy

CS 152 Computer Architecture and Engineering. Lecture 11 VLSI

CS 152 Computer Architecture and Engineering. Lecture 11 VLSI CS 152 Computer Architecture and Engineering Lecture 11 VLSI 2005-10-6 John Lazzaro (www.cs.berkeley.edu/~lazzaro) TAs: David Marquardt and Udam Saini www-inst.eecs.berkeley.edu/~cs152/ Today: State Storage

More information

CS 152 Computer Architecture and Engineering

CS 152 Computer Architecture and Engineering CS 152 Computer Architecture and Engineering Lecture 12 VLSI II 2005-2-24 John Lazzaro (www.cs.berkeley.edu/~lazzaro) TAs: Ted Hong and David Marquardt www-inst.eecs.berkeley.edu/~cs152/ Last Time: Device

More information

The pn junction: 2 Current vs Voltage (IV) characteristics

The pn junction: 2 Current vs Voltage (IV) characteristics Th pn junction: Currnt vs Voltag (V) charactristics Considr a pn junction in quilibrium with no applid xtrnal voltag: o th V E F E F V p-typ Dpltion rgion n-typ Elctron movmnt across th junction: 1. n

More information

Solid State Device Fundamentals

Solid State Device Fundamentals Solid Stat vic Fundamntal ES 345 Lctur Cour by landr M. Zaitv alandr.zaitv@ci.cuny.du Tl: 718 98 81 4101b Collg of Statn Iland / CUY p-n Junction p-n junction i a phyical contact of p- and n-typ miconductor.

More information

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator.

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator. Exam N a m : _ S O L U T I O N P U I D : I n s t r u c t i o n s : It is important that you clarly show your work and mark th final answr clarly, closd book, closd nots, no calculator. T i m : h o u r

More information

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes Lctur 1. oltag, Currnt, Powr, Sris sistanc, Paralll sistanc, and Diods Whn you start to dal with lctronics thr ar thr main concpts to start with: Nam Symbol Unit oltag volt Currnt ampr Powr W watt oltag

More information

Last time. Resistors. Circuits. Question. Quick Quiz. Quick Quiz. ( V c. Which bulb is brighter? A. A B. B. C. Both the same

Last time. Resistors. Circuits. Question. Quick Quiz. Quick Quiz. ( V c. Which bulb is brighter? A. A B. B. C. Both the same Last tim Bgin circuits Rsistors Circuits Today Rsistor circuits Start rsistor-capacitor circuits Physical layout Schmatic layout Tu. Oct. 13, 2009 Physics 208 Lctur 12 1 Tu. Oct. 13, 2009 Physics 208 Lctur

More information

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam.

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam. Exam 2 Thursday (7:30-9pm) It will covr matrial through HW 7, but no matrial that was on th 1 st xam. What happns if w bash atoms with lctrons? In atomic discharg lamps, lots of lctrons ar givn kintic

More information

Math 34A. Final Review

Math 34A. Final Review Math A Final Rviw 1) Us th graph of y10 to find approimat valus: a) 50 0. b) y (0.65) solution for part a) first writ an quation: 50 0. now tak th logarithm of both sids: log() log(50 0. ) pand th right

More information

Lecture 18 - Semiconductors - continued

Lecture 18 - Semiconductors - continued Lctur 18 - Smiconductors - continud Lctur 18: Smiconductors - continud (Kittl C. 8) + a - Donors and accptors Outlin Mor on concntrations of lctrons and ols in Smiconductors Control of conductivity by

More information

Electrochemistry L E O

Electrochemistry L E O Rmmbr from CHM151 A rdox raction in on in which lctrons ar transfrrd lctrochmistry L O Rduction os lctrons xidation G R ain lctrons duction W can dtrmin which lmnt is oxidizd or rducd by assigning oxidation

More information

Solid State Theory Physics 545 Band Theory III

Solid State Theory Physics 545 Band Theory III Solid Stat Thory Physics 545 Band Thory III ach atomic orbital lads to a band of allowd stats in th solid Band of allowd stats Gap: no allowd stats Band of allowd stats Gap: no allowd stats Band of allowd

More information

Part 7: Capacitance And Capacitors

Part 7: Capacitance And Capacitors Part 7: apacitanc And apacitors 7. Elctric harg And Elctric Filds onsidr a pair of flat, conducting plats, arrangd paralll to ach othr (as in figur 7.) and sparatd by an insulator, which may simply b air.

More information

Quantitative Model of Unilluminated Diode part II. G.R. Tynan UC San Diego MAE 119 Lecture Notes

Quantitative Model of Unilluminated Diode part II. G.R. Tynan UC San Diego MAE 119 Lecture Notes Quantitativ Modl of Unilluminatd Diod part II G.R. Tynan UC San Digo MAE 119 Lctur Nots Minority Carrir Dnsity at dg of quasinutral rgion incrass EXPONENTIALLY forward bias p nb n pa = p n0 xp qv a kt

More information

Electromagnetism Physics 15b

Electromagnetism Physics 15b lctromagntism Physics 15b Lctur #8 lctric Currnts Purcll 4.1 4.3 Today s Goals Dfin lctric currnt I Rat of lctric charg flow Also dfin lctric currnt dnsity J Charg consrvation in a formula Ohm s Law vryon

More information

Chapter 2 The Well 9/5/2017. E E 480 Introduction to Analog and Digital VLSI Paul M. Furth New Mexico State University

Chapter 2 The Well 9/5/2017. E E 480 Introduction to Analog and Digital VLSI Paul M. Furth New Mexico State University hapter 2 The Well E E 480 Introduction to Analog and Digital VLSI Paul M. Furth New Mexico State University p+ sub ~ 150 m thick, p-epi ~ 30 m thick All transistors go in p- epi layer Typical p- doping

More information

Lecture 0: Introduction

Lecture 0: Introduction Lecture 0: Introduction Introduction q Integrated circuits: many transistors on one chip q Very Large Scale Integration (VLSI): bucketloads! q Complementary Metal Oxide Semiconductor Fast, cheap, low power

More information

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.)

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.) Status of LAr TPC R&D (2) 214/Dc./23 Nutrino frontir workshop 214 Ryosuk Sasaki (Iwat U.) Tabl of Contnts Dvlopmnt of gnrating lctric fild in LAr TPC Introduction - Gnrating strong lctric fild is on of

More information

Chapter 6 Folding. Folding

Chapter 6 Folding. Folding Chaptr 6 Folding Wintr 1 Mokhtar Abolaz Folding Th folding transformation is usd to systmatically dtrmin th control circuits in DSP architctur whr multipl algorithm oprations ar tim-multiplxd to a singl

More information

ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems. Today MOS MOS. Capacitor. Idea

ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems. Today MOS MOS. Capacitor. Idea ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems Day 9: September 26, 2011 MOS Model Today MOS Structure Basic Idea Semiconductor Physics Metals, insulators Silicon lattice

More information

MOS Transistor I-V Characteristics and Parasitics

MOS Transistor I-V Characteristics and Parasitics ECEN454 Digital Integrated Circuit Design MOS Transistor I-V Characteristics and Parasitics ECEN 454 Facts about Transistors So far, we have treated transistors as ideal switches An ON transistor passes

More information

Davisson Germer experiment Announcements:

Davisson Germer experiment Announcements: Davisson Grmr xprimnt Announcmnts: Homwork st 7 is du Wdnsday. Problm solving sssions M3-5, T3-5. Th 2 nd midtrm will b April 7 in MUEN E0046 at 7:30pm. BFFs: Davisson and Grmr. Today w will go ovr th

More information

E hf. hf c. 2 2 h 2 2 m v f ' f 2f ' f cos c

E hf. hf c. 2 2 h 2 2 m v f ' f 2f ' f cos c EXPERIMENT 9: COMPTON EFFECT Rlatd Topics Intractions of photons with lctrons, consrvation of momntum and nrgy, inlastic and lastic scattring, intraction cross sction, Compton wavlngth. Principl Whn photons

More information

Lecture Outline. Skin Depth Power Flow 8/7/2018. EE 4347 Applied Electromagnetics. Topic 3e

Lecture Outline. Skin Depth Power Flow 8/7/2018. EE 4347 Applied Electromagnetics. Topic 3e 8/7/018 Cours Instructor Dr. Raymond C. Rumpf Offic: A 337 Phon: (915) 747 6958 E Mail: rcrumpf@utp.du EE 4347 Applid Elctromagntics Topic 3 Skin Dpth & Powr Flow Skin Dpth Ths & Powr nots Flow may contain

More information

Gradebook & Midterm & Office Hours

Gradebook & Midterm & Office Hours Your commnts So what do w do whn on of th r's is 0 in th quation GmM(1/r-1/r)? Do w nd to driv all of ths potntial nrgy formulas? I don't undrstand springs This was th first lctur I actually larnd somthing

More information

ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems

ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems Lec 6: September 18, 2017 MOS Model You are Here: Transistor Edition! Previously: simple models (0 and 1 st order) " Comfortable

More information

Fundamentals of the Metal Oxide Semiconductor Field-Effect Transistor

Fundamentals of the Metal Oxide Semiconductor Field-Effect Transistor Triode Working FET Fundamentals of the Metal Oxide Semiconductor Field-Effect Transistor The characteristics of energy bands as a function of applied voltage. Surface inversion. The expression for the

More information

ESE 570: Digital Integrated Circuits and VLSI Fundamentals

ESE 570: Digital Integrated Circuits and VLSI Fundamentals ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 4: January 29, 2019 MOS Transistor Theory, MOS Model Penn ESE 570 Spring 2019 Khanna Lecture Outline! CMOS Process Enhancements! Semiconductor

More information

6.1 Integration by Parts and Present Value. Copyright Cengage Learning. All rights reserved.

6.1 Integration by Parts and Present Value. Copyright Cengage Learning. All rights reserved. 6.1 Intgration by Parts and Prsnt Valu Copyright Cngag Larning. All rights rsrvd. Warm-Up: Find f () 1. F() = ln(+1). F() = 3 3. F() =. F() = ln ( 1) 5. F() = 6. F() = - Objctivs, Day #1 Studnts will b

More information

Section 12: Intro to Devices

Section 12: Intro to Devices Section 12: Intro to Devices Extensive reading materials on reserve, including Robert F. Pierret, Semiconductor Device Fundamentals Bond Model of Electrons and Holes Si Si Si Si Si Si Si Si Si Silicon

More information

ELEN0037 Microelectronic IC Design. Prof. Dr. Michael Kraft

ELEN0037 Microelectronic IC Design. Prof. Dr. Michael Kraft ELEN0037 Microelectronic IC Design Prof. Dr. Michael Kraft Lecture 2: Technological Aspects Technology Passive components Active components CMOS Process Basic Layout Scaling CMOS Technology Integrated

More information

Electrochemical Energy Systems Spring 2014 MIT, M. Z. Bazant. Midterm Exam

Electrochemical Energy Systems Spring 2014 MIT, M. Z. Bazant. Midterm Exam 10.66 Elctrochmical Enrgy Systms Spring 014 MIT, M. Z. Bazant Midtrm Exam Instructions. This is a tak-hom, opn-book xam du in Lctur. Lat xams will not b accptd. You may consult any books, handouts, or

More information

u r du = ur+1 r + 1 du = ln u + C u sin u du = cos u + C cos u du = sin u + C sec u tan u du = sec u + C e u du = e u + C

u r du = ur+1 r + 1 du = ln u + C u sin u du = cos u + C cos u du = sin u + C sec u tan u du = sec u + C e u du = e u + C Tchniqus of Intgration c Donald Kridr and Dwight Lahr In this sction w ar going to introduc th first approachs to valuating an indfinit intgral whos intgrand dos not hav an immdiat antidrivativ. W bgin

More information

EEO 401 Digital Signal Processing Prof. Mark Fowler

EEO 401 Digital Signal Processing Prof. Mark Fowler EEO 401 Digital Signal Procssing Prof. Mark Fowlr ot St #18 Introduction to DFT (via th DTFT) Rading Assignmnt: Sct. 7.1 of Proakis & Manolakis 1/24 Discrt Fourir Transform (DFT) W v sn that th DTFT is

More information

ESE 570: Digital Integrated Circuits and VLSI Fundamentals

ESE 570: Digital Integrated Circuits and VLSI Fundamentals ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 4: January 23, 2018 MOS Transistor Theory, MOS Model Penn ESE 570 Spring 2018 Khanna Lecture Outline! CMOS Process Enhancements! Semiconductor

More information

Introduction to CMOS VLSI Design Lecture 1: Introduction

Introduction to CMOS VLSI Design Lecture 1: Introduction Introduction to CMOS VLSI Design Lecture 1: Introduction David Harris, Harvey Mudd College Kartik Mohanram and Steven Levitan University of Pittsburgh Introduction Integrated circuits: many transistors

More information

EECE 301 Signals & Systems Prof. Mark Fowler

EECE 301 Signals & Systems Prof. Mark Fowler EECE 301 Signals & Systms Prof. Mark Fowlr ot St #21 D-T Signals: Rlation btwn DFT, DTFT, & CTFT 1/16 W can us th DFT to implmnt numrical FT procssing This nabls us to numrically analyz a signal to find

More information

Lecture 3: CMOS Transistor Theory

Lecture 3: CMOS Transistor Theory Lecture 3: CMOS Transistor Theory Outline Introduction MOS Capacitor nmos I-V Characteristics pmos I-V Characteristics Gate and Diffusion Capacitance 2 Introduction So far, we have treated transistors

More information

EE 5211 Analog Integrated Circuit Design. Hua Tang Fall 2012

EE 5211 Analog Integrated Circuit Design. Hua Tang Fall 2012 EE 5211 Analog Integrated Circuit Design Hua Tang Fall 2012 Today s topic: 1. Introduction to Analog IC 2. IC Manufacturing (Chapter 2) Introduction What is Integrated Circuit (IC) vs discrete circuits?

More information

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005 PHYS1444-,Fall 5, Trm Exam #1, Oct., 1, 5 Nam: Kys 1. circular ring of charg of raius an a total charg Q lis in th x-y plan with its cntr at th origin. small positiv tst charg q is plac at th origin. What

More information

PH2200 Practice Final Exam Spring 2004

PH2200 Practice Final Exam Spring 2004 PH2200 Practic Final Exam Spring 2004 Instructions 1. Writ your nam and studnt idntification numbr on th answr sht. 2. This a two-hour xam. 3. Plas covr your answr sht at all tims. 4. This is a closd book

More information

The following information relates to Questions 1 to 4:

The following information relates to Questions 1 to 4: Th following information rlats to Qustions 1 to 4: QUESTIN 1 Th lctrolyt usd in this ful cll is D watr carbonat ions hydrogn ions hydroxid ions QUESTIN 2 Th product formd in th ful cll is D hydrogn gas

More information

Pair (and Triplet) Production Effect:

Pair (and Triplet) Production Effect: Pair (and riplt Production Effct: In both Pair and riplt production, a positron (anti-lctron and an lctron (or ngatron ar producd spontanously as a photon intracts with a strong lctric fild from ithr a

More information

Lecture #15. Bipolar Junction Transistors (BJTs)

Lecture #15. Bipolar Junction Transistors (BJTs) ctur #5 OUTN Th iolar Junction Transistor Fundamntals dal Transistor Analysis Rading: hatr 0,. 30 ctur 5, Slid iolar Junction Transistors (JTs Ovr th ast 3 ads, th highr layout dnsity and low-owr advantag

More information

Quantum manipulation and qubits

Quantum manipulation and qubits Quantum manipulation and qubits Qubits Quantum information Quantum tlportation Rsonant manipulation Diabatic and adiabatic manipulation Quantum gats Quantiation of a osphson junction Phas qubit Coulomb

More information

MOSFET: Introduction

MOSFET: Introduction E&CE 437 Integrated VLSI Systems MOS Transistor 1 of 30 MOSFET: Introduction Metal oxide semiconductor field effect transistor (MOSFET) or MOS is widely used for implementing digital designs Its major

More information

General Notes About 2007 AP Physics Scoring Guidelines

General Notes About 2007 AP Physics Scoring Guidelines AP PHYSICS C: ELECTRICITY AND MAGNETISM 2007 SCORING GUIDELINES Gnral Nots About 2007 AP Physics Scoring Guidlins 1. Th solutions contain th most common mthod of solving th fr-rspons qustions and th allocation

More information

Give the letter that represents an atom (6) (b) Atoms of A and D combine to form a compound containing covalent bonds.

Give the letter that represents an atom (6) (b) Atoms of A and D combine to form a compound containing covalent bonds. 1 Th diagram shows th lctronic configurations of six diffrnt atoms. A B C D E F (a) You may us th Priodic Tabl on pag 2 to hlp you answr this qustion. Answr ach part by writing on of th lttrs A, B, C,

More information

! Previously: simple models (0 and 1 st order) " Comfortable with basic functions and circuits. ! This week and next (4 lectures)

! Previously: simple models (0 and 1 st order)  Comfortable with basic functions and circuits. ! This week and next (4 lectures) ESE370: CircuitLevel Modeling, Design, and Optimization for Digital Systems Lec 6: September 18, 2017 MOS Model You are Here: Transistor Edition! Previously: simple models (0 and 1 st order) " Comfortable

More information

Electronics Fets and Mosfets Prof D C Dube Department of Physics Indian Institute of Technology, Delhi

Electronics Fets and Mosfets Prof D C Dube Department of Physics Indian Institute of Technology, Delhi Electronics Fets and Mosfets Prof D C Dube Department of Physics Indian Institute of Technology, Delhi Module No. #05 Lecture No. #02 FETS and MOSFETS (contd.) In the previous lecture, we studied the working

More information

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory Ch. 4 Molcular Raction Dynamics 1. Collision Thory Lctur 16. Diffusion-Controlld Raction 3. Th Matrial Balanc Equation 4. Transition Stat Thory: Th Eyring Equation 5. Transition Stat Thory: Thrmodynamic

More information

On the Hamiltonian of a Multi-Electron Atom

On the Hamiltonian of a Multi-Electron Atom On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making

More information

! CMOS Process Enhancements. ! Semiconductor Physics. " Band gaps. " Field Effects. ! MOS Physics. " Cut-off. " Depletion.

! CMOS Process Enhancements. ! Semiconductor Physics.  Band gaps.  Field Effects. ! MOS Physics.  Cut-off.  Depletion. ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 4: January 9, 019 MOS Transistor Theory, MOS Model Lecture Outline CMOS Process Enhancements Semiconductor Physics Band gaps Field Effects

More information

7.4 Potential Difference and Electric Potential

7.4 Potential Difference and Electric Potential 7.4 Potntial Diffrnc and Elctric Potntial In th prvious sction, you larnd how two paralll chargd surfacs produc a uniform lctric fild. From th dfinition of an lctric fild as a forc acting on a charg, it

More information

Lecture 34: Portable Systems Technology Background Professor Randy H. Katz Computer Science 252 Fall 1995

Lecture 34: Portable Systems Technology Background Professor Randy H. Katz Computer Science 252 Fall 1995 Lecture 34: Portable Systems Technology Background Professor Randy H. Katz Computer Science 252 Fall 1995 RHK.F95 1 Technology Trends: Microprocessor Capacity 100000000 10000000 Pentium Transistors 1000000

More information

Lecture 12: MOS Capacitors, transistors. Context

Lecture 12: MOS Capacitors, transistors. Context Lecture 12: MOS Capacitors, transistors Context In the last lecture, we discussed PN diodes, and the depletion layer into semiconductor surfaces. Small signal models In this lecture, we will apply those

More information

IXBT22N300HV IXBH22N300HV

IXBT22N300HV IXBH22N300HV High Voltag, High Gain BIMOSFT TM Monolithic Bipolar MOS Transistor Advanc Tchnical Information IXBTNHV IXBHNHV V CS = V = A V C(sat). TO-6HV (IXBT) Symbol Tst Conditions Maximum Ratings V CS = 5 C to

More information

CMPEN 411 VLSI Digital Circuits. Lecture 03: MOS Transistor

CMPEN 411 VLSI Digital Circuits. Lecture 03: MOS Transistor CMPEN 411 VLSI Digital Circuits Lecture 03: MOS Transistor Kyusun Choi [Adapted from Rabaey s Digital Integrated Circuits, Second Edition, 2003 J. Rabaey, A. Chandrakasan, B. Nikolic] CMPEN 411 L03 S.1

More information

ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems

ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems Lec 6: September 14, 2015 MOS Model You are Here: Transistor Edition! Previously: simple models (0 and 1 st order) " Comfortable

More information

September 23, Honors Chem Atomic structure.notebook. Atomic Structure

September 23, Honors Chem Atomic structure.notebook. Atomic Structure Atomic Structur Topics covrd Atomic structur Subatomic particls Atomic numbr Mass numbr Charg Cations Anions Isotops Avrag atomic mass Practic qustions atomic structur Sp 27 8:16 PM 1 Powr Standards/ Larning

More information

Fourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation.

Fourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation. Lur 7 Fourir Transforms and th Wav Euation Ovrviw and Motivation: W first discuss a fw faturs of th Fourir transform (FT), and thn w solv th initial-valu problm for th wav uation using th Fourir transform

More information

Lecture 4: CMOS Transistor Theory

Lecture 4: CMOS Transistor Theory Introduction to CMOS VLSI Design Lecture 4: CMOS Transistor Theory David Harris, Harvey Mudd College Kartik Mohanram and Steven Levitan University of Pittsburgh Outline q Introduction q MOS Capacitor q

More information

The Intrinsic Silicon

The Intrinsic Silicon The Intrinsic ilicon Thermally generated electrons and holes Carrier concentration p i =n i ni=1.45x10 10 cm-3 @ room temp Generally: n i = 3.1X10 16 T 3/2 e -1.21/2KT cm -3 T= temperature in K o (egrees

More information

Elements of Statistical Thermodynamics

Elements of Statistical Thermodynamics 24 Elmnts of Statistical Thrmodynamics Statistical thrmodynamics is a branch of knowldg that has its own postulats and tchniqus. W do not attmpt to giv hr vn an introduction to th fild. In this chaptr,

More information

Differential Equations

Differential Equations Prfac Hr ar m onlin nots for m diffrntial quations cours that I tach hr at Lamar Univrsit. Dspit th fact that ths ar m class nots, th should b accssibl to anon wanting to larn how to solv diffrntial quations

More information

ECE 344 Microwave Fundamentals

ECE 344 Microwave Fundamentals ECE 44 Microwav Fundamntals Lctur 08: Powr Dividrs and Couplrs Part Prpard By Dr. hrif Hkal 4/0/08 Microwav Dvics 4/0/08 Microwav Dvics 4/0/08 Powr Dividrs and Couplrs Powr dividrs, combinrs and dirctional

More information

λ = 2L n Electronic structure of metals = 3 = 2a Free electron model Many metals have an unpaired s-electron that is largely free

λ = 2L n Electronic structure of metals = 3 = 2a Free electron model Many metals have an unpaired s-electron that is largely free 5.6 4 Lctur #4-6 pag Elctronic structur of mtals r lctron modl Many mtals av an unpaird s-lctron tat is largly fr Simplst modl: Particl in a box! or a cubic box of lngt L, ψ ( xyz) 8 xπ ny L L L n x π

More information

EE 330 Lecture 12. Devices in Semiconductor Processes. Resistors Diodes

EE 330 Lecture 12. Devices in Semiconductor Processes. Resistors Diodes EE 330 Lecture 12 evices in Semiconductor Processes Resistors iodes Exam 1 Friday Feb 16 Students may bring 1 page of notes HW assignment of week of Feb 11 due on Wed Sfeb 14 at beginning of class No 5:00

More information

Lecture 11: MOS Transistor

Lecture 11: MOS Transistor Lecture 11: MOS Transistor Prof. Niknejad Lecture Outline Review: MOS Capacitors Regions MOS Capacitors (3.8 3.9) CV Curve Threshold Voltage MOS Transistors (4.1 4.3): Overview Cross-section and layout

More information

Junction Diodes. Tim Sumner, Imperial College, Rm: 1009, x /18/2006

Junction Diodes. Tim Sumner, Imperial College, Rm: 1009, x /18/2006 Junction Diodes Most elementary solid state junction electronic devices. They conduct in one direction (almost correct). Useful when one converts from AC to DC (rectifier). But today diodes have a wide

More information

ECE 497 JS Lecture - 12 Device Technologies

ECE 497 JS Lecture - 12 Device Technologies ECE 497 JS Lecture - 12 Device Technologies Spring 2004 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jose@emlab.uiuc.edu 1 NMOS Transistor 2 ρ Source channel charge density

More information

4 x 4, and. where x is Town Square

4 x 4, and. where x is Town Square Accumulation and Population Dnsity E. A city locatd along a straight highway has a population whos dnsity can b approimatd by th function p 5 4 th distanc from th town squar, masurd in mils, whr 4 4, and

More information

LECTURE 23. MOS transistor. 1 We need a smart switch, i.e., an electronically controlled switch. Lecture Digital Circuits, Logic

LECTURE 23. MOS transistor. 1 We need a smart switch, i.e., an electronically controlled switch. Lecture Digital Circuits, Logic LECTURE 23 Lecture 16-20 Digital Circuits, Logic 1 We need a smart switch, i.e., an electronically controlled switch 2 We need a gain element for example, to make comparators. The device of our dreams

More information

MOS transistors (in subthreshold)

MOS transistors (in subthreshold) MOS tanito (in ubthhold) Hitoy o th Tanito Th tm tanito i a gnic nam o a olid-tat dvic with 3 o mo tminal. Th ild-ct tanito tuctu wa it dcibd in a patnt by J. Lilinld in th 193! t took about 4 ya bo MOS

More information

Differentiation of Exponential Functions

Differentiation of Exponential Functions Calculus Modul C Diffrntiation of Eponntial Functions Copyright This publication Th Northrn Albrta Institut of Tchnology 007. All Rights Rsrvd. LAST REVISED March, 009 Introduction to Diffrntiation of

More information

CMOS Digital Integrated Circuits Lec 13 Semiconductor Memories

CMOS Digital Integrated Circuits Lec 13 Semiconductor Memories Lec 13 Semiconductor Memories 1 Semiconductor Memory Types Semiconductor Memories Read/Write (R/W) Memory or Random Access Memory (RAM) Read-Only Memory (ROM) Dynamic RAM (DRAM) Static RAM (SRAM) 1. Mask

More information

Analytical Modelling of conventional DMG-SOI MOSFET using Different Gate Dielectric Material

Analytical Modelling of conventional DMG-SOI MOSFET using Different Gate Dielectric Material Intrnational Journal of Enginring Tchnology, Managmnt and Applid Scincs www.ijtmas.com May 017, olum 5, Issu 5, ISSN 349-4476 Analytical Modlling of convntional DMG-SOI MOSFET using Diffrnt Gat Dilctric

More information

VLSI Design I; A. Milenkovic 1

VLSI Design I; A. Milenkovic 1 Review: implified CMO Inverter Process CPE/EE 7, CPE 7 VLI esign I L: MO Transistor cut line epartment of Electrical and Computer Engineering University of Alabama in Huntsville Aleksandar Milenkovic (

More information

Y 0. Standing Wave Interference between the incident & reflected waves Standing wave. A string with one end fixed on a wall

Y 0. Standing Wave Interference between the incident & reflected waves Standing wave. A string with one end fixed on a wall Staning Wav Intrfrnc btwn th incint & rflct wavs Staning wav A string with on n fix on a wall Incint: y, t) Y cos( t ) 1( Y 1 ( ) Y (St th incint wav s phas to b, i.., Y + ral & positiv.) Rflct: y, t)

More information

A central nucleus. Protons have a positive charge Electrons have a negative charge

A central nucleus. Protons have a positive charge Electrons have a negative charge Atomic Structur Lss than ninty yars ago scintists blivd that atoms wr tiny solid sphrs lik minut snookr balls. Sinc thn it has bn discovrd that atoms ar not compltly solid but hav innr and outr parts.

More information

Derivation of Electron-Electron Interaction Terms in the Multi-Electron Hamiltonian

Derivation of Electron-Electron Interaction Terms in the Multi-Electron Hamiltonian Drivation of Elctron-Elctron Intraction Trms in th Multi-Elctron Hamiltonian Erica Smith Octobr 1, 010 1 Introduction Th Hamiltonian for a multi-lctron atom with n lctrons is drivd by Itoh (1965) by accounting

More information

! CMOS Process Enhancements. ! Semiconductor Physics. " Band gaps. " Field Effects. ! MOS Physics. " Cut-off. " Depletion.

! CMOS Process Enhancements. ! Semiconductor Physics.  Band gaps.  Field Effects. ! MOS Physics.  Cut-off.  Depletion. ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 4: January 3, 018 MOS Transistor Theory, MOS Model Lecture Outline! CMOS Process Enhancements! Semiconductor Physics " Band gaps " Field Effects!

More information

Surface Mount RF Schottky Barrier Diodes. Technical Data. GUx. HSMS-281x Series

Surface Mount RF Schottky Barrier Diodes. Technical Data. GUx. HSMS-281x Series Surface Mount RF Schottky Barrier Diodes Technical Data HSMS-28x Series Features Surface Mount Packages Low Flicker Noise Low FIT (Failure in Time) Rate* Six-sigma Quality Level Single, Dual and Quad Versions

More information

Class 05: Device Physics II

Class 05: Device Physics II Topics: 1. Introduction 2. NFET Model and Cross Section with Parasitics 3. NFET as a Capacitor 4. Capacitance vs. Voltage Curves 5. NFET as a Capacitor - Band Diagrams at V=0 6. NFET as a Capacitor - Accumulation

More information

Chapter 3 Basics Semiconductor Devices and Processing

Chapter 3 Basics Semiconductor Devices and Processing Chapter 3 Basics Semiconductor Devices and Processing Hong Xiao, Ph. D. www2.austin.cc.tx.us/hongxiao/book.htm Hong Xiao, Ph. D. www2.austin.cc.tx.us/hongxiao/book.htm 1 Objectives Identify at least two

More information

Digital Integrated Circuits A Design Perspective

Digital Integrated Circuits A Design Perspective Semiconductor Memories Adapted from Chapter 12 of Digital Integrated Circuits A Design Perspective Jan M. Rabaey et al. Copyright 2003 Prentice Hall/Pearson Outline Memory Classification Memory Architectures

More information

Physics 312 First Pledged Problem Set

Physics 312 First Pledged Problem Set Physics 31 First Pldgd Problm St 1. Th ground stat of hydrogn is dscribd by th wavfunction whr a is th Bohr radius. (a) Comput th charg dnsity à (r) = 1 p ¼ µ 1 a 3 r=a ; ½ (r) = jã (r)j : and plot 4¼r

More information

ESE 570: Digital Integrated Circuits and VLSI Fundamentals

ESE 570: Digital Integrated Circuits and VLSI Fundamentals ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 4: January 24, 2017 MOS Transistor Theory, MOS Model Penn ESE 570 Spring 2017 Khanna Lecture Outline! Semiconductor Physics " Band gaps "

More information

How can I control light? (and rule the world?)

How can I control light? (and rule the world?) How can I control light? (and rul th world?) "You know, I hav on simpl rqust. And that is to hav sharks with frickin' lasr bams attachd to thir hads! - Dr. Evil Phys 230, Day 35 Qustions? Spctra (colors

More information

SPH4U Electric Charges and Electric Fields Mr. LoRusso

SPH4U Electric Charges and Electric Fields Mr. LoRusso SPH4U lctric Chargs an lctric Fils Mr. LoRusso lctricity is th flow of lctric charg. Th Grks first obsrv lctrical forcs whn arly scintists rubb ambr with fur. Th notic thy coul attract small bits of straw

More information

Course Administration. CPE/EE 427, CPE 527 VLSI Design I L04: MOS Transistors. Review: CMOS Process at a Glance

Course Administration. CPE/EE 427, CPE 527 VLSI Design I L04: MOS Transistors. Review: CMOS Process at a Glance Course Administration CPE/EE 7, CPE 7 VLI esign I L: MO Transistors epartment of Electrical and Computer Engineering University of Alabama in Huntsville Aleksandar Milenkovic ( www.ece.uah.edu/~milenka

More information

Model neurons!!the membrane equation!

Model neurons!!the membrane equation! Modl nurons!!th bran quation! Suggstd rading:! Chaptr 5.1-5.3 in Dayan, P. & Abbott, L., Thortical Nuroscinc, MIT Prss, 2001.! Modl nurons: Th bran quation! Contnts:!!!!!! Ion channls Nnst quation Goldan-Hodgkin-Katz

More information

MOS Transistor Properties Review

MOS Transistor Properties Review MOS Transistor Properties Review 1 VLSI Chip Manufacturing Process Photolithography: transfer of mask patterns to the chip Diffusion or ion implantation: selective doping of Si substrate Oxidation: SiO

More information

Lecture 6 Power Zhuo Feng. Z. Feng MTU EE4800 CMOS Digital IC Design & Analysis 2010

Lecture 6 Power Zhuo Feng. Z. Feng MTU EE4800 CMOS Digital IC Design & Analysis 2010 EE4800 CMOS Digital IC Design & Analysis Lecture 6 Power Zhuo Feng 6.1 Outline Power and Energy Dynamic Power Static Power 6.2 Power and Energy Power is drawn from a voltage source attached to the V DD

More information

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches. Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M

More information

Diodes. anode. cathode. cut-off. Can be approximated by a piecewise-linear-like characteristic. Lecture 9-1

Diodes. anode. cathode. cut-off. Can be approximated by a piecewise-linear-like characteristic. Lecture 9-1 Diodes mplest nonlinear circuit element Basic operation sets the foundation for Bipolar Junction Transistors (BJTs) Also present in Field Effect Transistors (FETs) Ideal diode characteristic anode cathode

More information

Chapter 2. Design and Fabrication of VLSI Devices

Chapter 2. Design and Fabrication of VLSI Devices Chapter 2 Design and Fabrication of VLSI Devices Jason Cong 1 Design and Fabrication of VLSI Devices Objectives: To study the materials used in fabrication of VLSI devices. To study the structure of devices

More information

Outline. Why speech processing? Speech signal processing. Advanced Multimedia Signal Processing #5:Speech Signal Processing 2 -Processing-

Outline. Why speech processing? Speech signal processing. Advanced Multimedia Signal Processing #5:Speech Signal Processing 2 -Processing- Outlin Advancd Multimdia Signal Procssing #5:Spch Signal Procssing -Procssing- Intllignt Elctronic Systms Group Dpt. of Elctronic Enginring, UEC Basis of Spch Procssing Nois Rmoval Spctral Subtraction

More information

Quiz #1 Practice Problem Set

Quiz #1 Practice Problem Set Name: Student Number: ELEC 3908 Physical Electronics Quiz #1 Practice Problem Set? Minutes January 22, 2016 - No aids except a non-programmable calculator - All questions must be answered - All questions

More information

Section 12: Intro to Devices

Section 12: Intro to Devices Section 12: Intro to Devices Extensive reading materials on reserve, including Robert F. Pierret, Semiconductor Device Fundamentals EE143 Ali Javey Bond Model of Electrons and Holes Si Si Si Si Si Si Si

More information