Fundamental Good Practice in Dimensional Metrology

Total Page:16

File Type:pdf, Size:1020Kb

Fundamental Good Practice in Dimensional Metrology Good Practice Guide No. 80 Fundamental Good Practice in Dimensional Metrology David Flack and John Hannaford Measurement Good Practice Guide No. 80 Fundamental Good Practice in Dimensional Metrology David Flack Engineering Measurement Services Team Engineering Measurement Division John Hannaford ABSTRACT This good practice guide is written for those who need to make dimensional measurements but are not necessarily trained metrologists. On reading this guide you should have gained a basic knowledge of fundamental good practice when making dimensional measurements. An introduction to length units and key issues such as traceability and uncertainty is followed by some examples of typical sources of error in length measurement. Checking to specification, accreditation and measurement techniques are also covered along with an introduction to optical measurement techniques. © Queen's Printer and Controller of HMSO First printed July 2005 Reprinted with minor corrections/amendments October 2012 ISSN 1368-6550 National Physical Laboratory Hampton Road, Teddington, Middlesex, TW11 0LW Acknowledgements This document has been produced for the Department for Business, Innovation and Skills; National Measurement System under contract number GBBK/C/08/17. Thanks also to Hexagon Metrology, Romer, Renishaw and Faro UK for providing some of the images and to Dr Richard Leach (NPL), Simon Oldfield (NPL), Dr Anthony Gee (University College London) and Prof Derek Chetwynd (University of Warwick) for suggesting improvements to this guide. i Contents Introduction .............................................................................................................................. 1 Why have you picked up this guide? ................................................................................ 2 Why bother making dimensional measurements at all? ...................................................... 5 Open day at the factory..................................................................................................... 7 Some history of dimensional measurement ...................................................................... 8 Manufacture in the early days – the military ...................................................... 8 The industrial revolution – the beginnings of the modern age and interchangeability ............................................................................................... 8 The 20th century ................................................................................................ 10 So why do we measure things? ...................................................................................... 10 Why make a dimensional measurement? ......................................................... 10 Why do we take so much trouble in making measurements? .......................... 12 How do we ensure consistent measurements throughout the world? ............................. 12 Units of length measurement .......................................................................................... 13 Who defines the metre? .................................................................................... 13 Metres and inches ............................................................................................. 13 A typical transfer standard – the gauge block .................................................. 16 Units of angle ................................................................................................................. 18 Angle gauges .................................................................................................... 24 Resolution, accuracy, tolerance, etc. .............................................................................. 25 Accuracy and precision .................................................................................... 26 Resolution, uncertainty, tolerance and error .................................................... 27 International standards.................................................................................................... 27 Just how well do you have to measure? ............................................................................... 29 Car parts.......................................................................................................................... 30 Introduction to measurement in manufacturing ............................................................. 30 Trend monitoring during production .............................................................................. 31 So your measurement has an uncertainty? ..................................................................... 33 Introduction ...................................................................................................... 33 Expression of uncertainty in measurement ...................................................... 33 The contributions to the uncertainty budget ..................................................... 34 Expanded uncertainty ....................................................................................... 35 The statement of uncertainty ............................................................................ 35 Confidence level ............................................................................................... 36 Type A and Type B contributions .................................................................... 37 Distributions ..................................................................................................... 40 Checking conformance to a specification. How do you know the part meets specification? .................................................................................................................. 42 ii Determining conformance with a specification - ISO 14253 decision rules .... 42 Summary of ISO 14253 .................................................................................... 45 Decision-making rules (production 3:1 versus inspection 10:1) .................................... 45 GO and NOT GO hard gauges (limit gauges) ................................................................ 47 Multiple gauging stations and master parts .................................................................... 48 Future developments ...................................................................................................... 49 Saving money by spending money ........................................................................................ 51 Car parts again ................................................................................................................ 52 Saving money ................................................................................................................. 52 Modern measurement techniques ................................................................................... 55 An overview of co-ordinate metrology ............................................................ 55 Articulated arms ............................................................................................... 56 Laser trackers ................................................................................................... 57 Spending money ............................................................................................................. 58 What happens if things go wrong? ................................................................................. 59 Choosing the right equipment for the job............................................................................ 61 Plane parts ...................................................................................................................... 62 Monday morning .............................................................................................. 62 Later that day .................................................................................................... 63 What bits need measuring .............................................................................................. 66 Choosing the correct tool................................................................................................ 66 Temperature compensation ............................................................................................ 69 Minimising the effects of temperature ............................................................. 69 Correcting for deviations from the reference temperature ............................... 70 Table of errors for typical materials and temperatures .................................... 71 Allowing for temperature effects in uncertainty .............................................. 72 Performance verification - how good is this instrument anyway? .................................... 75 Car parts yet again .......................................................................................................... 76 How do you check out what’s in your toolbox? ............................................................. 76 Visual verification ............................................................................................ 77 Formal verification checks ............................................................................... 77 Formal verification of a CMM ....................................................................................... 78 What happens if the verification fails and the CMM is outside specification? 81 Interim checks .................................................................................................
Recommended publications
  • Check Points for Measuring Instruments
    Catalog No. E12024 Check Points for Measuring Instruments Introduction Measurement… the word can mean many things. In the case of length measurement there are many kinds of measuring instrument and corresponding measuring methods. For efficient and accurate measurement, the proper usage of measuring tools and instruments is vital. Additionally, to ensure the long working life of those instruments, care in use and regular maintenance is important. We have put together this booklet to help anyone get the best use from a Mitutoyo measuring instrument for many years, and sincerely hope it will help you. CONVENTIONS USED IN THIS BOOKLET The following symbols are used in this booklet to help the user obtain reliable measurement data through correct instrument operation. correct incorrect CONTENTS Products Used for Maintenance of Measuring Instruments 1 Micrometers Digimatic Outside Micrometers (Coolant Proof Micrometers) 2 Outside Micrometers 3 Holtest Digimatic Holtest (Three-point Bore Micrometers) 4 Holtest (Two-point/Three-point Bore Micrometers) 5 Bore Gages Bore Gages 6 Bore Gages (Small Holes) 7 Calipers ABSOLUTE Coolant Proof Calipers 8 ABSOLUTE Digimatic Calipers 9 Dial Calipers 10 Vernier Calipers 11 ABSOLUTE Inside Calipers 12 Offset Centerline Calipers 13 Height Gages Digimatic Height Gages 14 ABSOLUTE Digimatic Height Gages 15 Vernier Height Gages 16 Dial Height Gages 17 Indicators Digimatic Indicators 18 Dial Indicators 19 Dial Test Indicators (Lever-operated Dial Indicators) 20 Thickness Gages 21 Gauge Blocks Rectangular Gauge Blocks 22 Products Used for Maintenance of Measuring Instruments Mitutoyo products Micrometer oil Maintenance kit for gauge blocks Lubrication and rust-prevention oil Maintenance kit for gauge Order No.207000 blocks includes all the necessary maintenance tools for removing burrs and contamination, and for applying anti-corrosion treatment after use, etc.
    [Show full text]
  • Safety Hazards Material Processing Laboratory Room 232
    Safety Hazards Material Processing Laboratory Room 232 HAZARD: Rotating Equipment / Machine Tools Be aware of pinch points and possible entanglement Personal Protective Equipment: Safety Goggles; Standing Shields, Sturdy Shoes No: Loose clothing; Neck Ties/Scarves; Jewelry (remove); Long Hair (tie back) HAZARD: Projectiles / Ejected Parts Articles in motion may dislodge and become airborne. Personal Protective Equipment: Safety Goggles; Standing Shields HAZARD: Heating - Burn Be aware of hot surfaces Personal Protective Equipment: Safety Goggles; High Temperature Gloves; Welding Apron, Welding Jacket, Boot Gauntlets, Face Shield HAZARD: Chemical - Burn / Fume Use Adequate Ventilation and/or Rated Fume Hood. Make note of Safety Shower and Eyewash Station Locations. Personal Protective Equipment: Safety Goggles; Chemically Rated Gloves; Chemically Rated Apron HAZARD: Electrical - Burn / Shock Care with electrical connections, particularly with grounding and not Using frayed electrical cords, can reduce hazard. Use GFCI receptacles near water. HAZARD: High Pressure Air-Fluid / Gas Cylinders / Vacuum Inspect before using any pressure / vacuum equipment. Gas cylinders must be secured at all times. Personal Protective Equipment: Safety Goggles; Standing Shields HAZARD: Water / Slip Hazard Clean any spills immediately. R. Dubrovsky Mechanical Engineering Department, NJIT ME 215, Engineering Materials & Processes Experiment # 6 EXPERIMENT # 6: METAL CUTTING PROCESSES AND TOOL GEOMETRY Goal: To familiarize the students with main metal cutting processes, cutting machines and cutting tool geometry. Objectives: To learn principles of machining, chip formation approach, cutting parameters, tool geometry and its influence on cutting process, surface finishing and accuracy. Equipment Lathe, milling machine, optical comparator, protractor, carbide lathe tools, & Tools: high speed steel cutters: spiral-point drill and milling cutter.
    [Show full text]
  • Gauge Blocks and Accessories
    for more than 70 Made in Germany years Gauge Blocks and Accessories Wear resistant Special Steel Ceramic Carbide DAkkS-Calibration Laboratory scope of accreditation according to the current annexe: KOLB & BAUMANN GMBH & CO. KG www.dakks.de PRECISION MEASURING TOOLS MAKERS DE-63741 ASCHAFFENBURG · DAIMLERSTR. 24 GERMANY PHONE +49 (6021) 3463-0 · FAX +49 (6021) 3463-40 www.koba.de · [email protected] Catalogue No. 1000/E/01/2012 Dear Customer, Today you have the documents of KOLB & BAUMANN in your hands. We are glad that you are interested in our products. The foundations of KOBA were laid more than 70 years ago and at the beginning the manufacture of gauge blocks was the major line. At that time gauge blocks were made out of steel. Later carbide and ceramic were added. Furthermore we manufacture accessories in order to extend the application of our gauge blocks. In order to complete the product range we started the manufacture of gauges. It was in 1979 when KOLB & BAUMANN got accredited by the PTB as the 8th DKD-calibration laboratory in Germany. This accreditation comprises the measured value "length” up to 1000 mm. Besides, KOBA is accredited laboratory for gauges and other measuring instruments. KOBA supplies world-wide into more than 70 countries and is also supplier for gauge blocks and calibration masters to various National Physical Laboratories. Our world-wide customers trust in KOBA-gauge blocks and gauges as a high- grade German quality product. Being a German family-based company we will do all efforts to keep the confidence in our products.
    [Show full text]
  • GNBS International System of Units Booklet
    I Table of INTRODUCTION CONTENTS The purpose of this booklet Learn About... 3 is to enable Guyanese to become familiar with • Guyana National Bureau 3 the metric system and, in of Standards (GNBS). particular, the International System of Units or SI Units. With most of the world We Look to the Future using the metric system of 5 measurements, these SI • Why do we need 5 units are now an intrinsic Measurement Standards? part of our lives. • The Role of Measurements 6 The meat, flour, fruit and in our Daily Lives. vegetables we buy; the pills, tablets and capsules doctors prescribe; the distances vehicles cover and boats Learn More On... 7 sail and athletes run, as • What is the SI? 7 well as fabric bought for our garments to be made • Why use the SI? 8 from are all weighed and measured using SI units. Given this trend, Guyana Learn the Units 9 must fully embrace metric • What are the SI Units? 9 measurements. Thus, this booklet intends to promote • The Basics of the Metric 11 a culture in which Guyanese System in use everyday. not only “think metric” but also actively use the SI units - The Kilogram 11 in their everyday lives. II III - The Kilometre 13 Guyana National - The Litre 15 Bureau of learn Standards Using the Basic Units 17 about... • Converting between Units 17 (GNBS) • Temperature 18 The Guyana National Bureau of Standards (GNBS) operates under • Writing Dates 19 the Ministry of Tourism, Industry and commerce as a semi - • Writing Times 19 -autonomous governmental organization responsible for standards and quality in Guyana.
    [Show full text]
  • Investigation of Dynamic Behavior of Aluminum Alloy Armor Materials
    INVESTIGATION OF DYNAMIC BEHAVIOR OF ALUMINUM ALLOY ARMOR MATERIALS A THESIS SUBMITTED TO THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES OF MIDDLE EAST TECHNICAL UNIVERSITY BY MEHMET MACAR IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY IN MECHANICAL ENGINEERING SEPTEMBER 2014 Approval of the thesis: INVESTIGATION OF DYNAMIC BEHAVIOR OF ALUMINUM ALLOY ARMOR MATERIALS submitted by MEHMET MACAR in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mechanical Engineering Department, Middle East Technical University by, Prof.Dr. Canan Özgen _____________ Dean, Graduate School of Natural and Applied Sciences Prof.Dr. Suha Oral _____________ Head of Department, Mechanical Engineering Prof.Dr. R.Orhan Yıldırım _____________ Supervisor, Mechanical Engineering Dept., METU Assoc.Prof.Dr.Murat Vural _____________ Co-supervisor, Mechanical, Materials & Aerospace Eng. Dept., IIT Examining Committee Members: Prof. Dr. Metin Akkök _____________ Mechanical Engineering Dept., METU Prof. Dr. R.Orhan Yıldırım _____________ Mechanical Engineering Dept., METU Prof. Dr. Bilgehan Ögel _____________ Metallurgical and Materials Engineering Dept., METU Prof. Dr. Ömer Anlağan _____________ Mechanical Engineering Dept., Bilkent University Assoc.Prof.Dr. Lütfullah Turanlı _____________ Civil Engineering Dept., METU Date: 04 September 2014 I hereby declare that all information in this document has been obtained and presented in accordance with academic rules and ethical conduct. I also declare that, as required by these rules and conduct, I have fully cited and referenced all material and results that are not original to this work. Name, Last Name: MEHMET MACAR Signature : iv ABSTRACT INVESTIGATION OF DYNAMIC BEHAVIOR OF ALUMINUM ALLOY ARMOR MATERIALS Macar, Mehmet Ph.D., Department of Mechanical Engineering Supervisor :Prof.
    [Show full text]
  • Intro to Measurement Uncertainty 2011
    Measurement Uncertainty and Significant Figures There is no such thing as a perfect measurement. Even doing something as simple as measuring the length of a pencil with a ruler is subject to limitations that can affect how close your measurement is to its true value. For example, you need to consider the clarity and accuracy of the scale on the ruler. What is the smallest subdivision of the ruler scale? How thick are the black lines that indicate centimeters and millimeters? Such ideas are important in understanding the limitations of use of a ruler, just as with any measuring device. The degree to which a measured quantity compares to the true value of the measurement describes the accuracy of the measurement. Most measuring instruments you will use in physics lab are quite accurate when used properly. However, even when an instrument is used properly, it is quite normal for different people to get slightly different values when measuring the same quantity. When using a ruler, perception of when an object is best lined up against the ruler scale may vary from person to person. Sometimes a measurement must be taken under less than ideal conditions, such as at an awkward angle or against a rough surface. As a result, if the measurement is repeated by different people (or even by the same person) the measured value can vary slightly. The degree to which repeated measurements of the same quantity differ describes the precision of the measurement. Because of limitations both in the accuracy and precision of measurements, you can never expect to be able to make an exact measurement.
    [Show full text]
  • Optical Instruments Profile Projectors
    PARTNERS IN PRECISION OPTICAL INSTRUMENTS PROFILE PROJECTORS R14 X10 LENS CONTENTS Page No. Projectors Baty R14 - Profile Projector 3 Baty R400 - Profile Projector 4 Baty R600 - Profile Projector 5 Baty SM300 - Profile Projector 6 Baty SM350 - Profile Projector 7 Baty SM20 - Profile Projector 8 Page 4 Software Baty Readout Options 9 Accessories Baty Options & Accessories - Profile Projector 10 Reprorubber - Metrology Grade Casting Material 11-12 Notes 13-15 Page 7 Page 12 Page 11 Pages 9-10 2 For more information visit www.bowersgroup.co.uk PROJECTORS Baty R14 - Profile Projector The Baty R14 bench mount profile projector with its 340mm screen combines high accuracy non-contact measurement and inspection with a large 175mm x 100mm measuring range. Choice of digital readouts and optional automatic profile edge detection ensures that you can have the projector that fits your requirements. The horizontal light path configuration is ideally suited to turned machined parts that can be secured to the workstage using a range of optional accessories from the Baty fixture family. The compact and robust lightweight chassis makes the R14 ideal for workshop environments. Features • 340mm (14") screen with 90º crosslines and chart clips • Profile illumination with halogen lamp and green filter • Lens magnification choice: 10x, 20x, 25x, 50x and 100x • Surface illumination (fibre optic) • Helix adjustment of light source ± 7º for accurate thread form projection • Workstage with machined slot for holding accessories • Workstage measuring range of 175mm
    [Show full text]
  • The Gage Block Handbook
    AlllQM bSflim PUBUCATIONS NIST Monograph 180 The Gage Block Handbook Ted Doiron and John S. Beers United States Department of Commerce Technology Administration NET National Institute of Standards and Technology The National Institute of Standards and Technology was established in 1988 by Congress to "assist industry in the development of technology . needed to improve product quality, to modernize manufacturing processes, to ensure product reliability . and to facilitate rapid commercialization ... of products based on new scientific discoveries." NIST, originally founded as the National Bureau of Standards in 1901, works to strengthen U.S. industry's competitiveness; advance science and engineering; and improve public health, safety, and the environment. One of the agency's basic functions is to develop, maintain, and retain custody of the national standards of measurement, and provide the means and methods for comparing standards used in science, engineering, manufacturing, commerce, industry, and education with the standards adopted or recognized by the Federal Government. As an agency of the U.S. Commerce Department's Technology Administration, NIST conducts basic and applied research in the physical sciences and engineering, and develops measurement techniques, test methods, standards, and related services. The Institute does generic and precompetitive work on new and advanced technologies. NIST's research facilities are located at Gaithersburg, MD 20899, and at Boulder, CO 80303. Major technical operating units and their principal
    [Show full text]
  • Misura E Strumenti Di Misura
    ® MISURA E STRUMENTI DI MISURA (G) MISURA: g = G : grandezza (numero) U(G) U(G) : unita' di misura di G Come si effettua la misura ? diretta MISURA indiretta confronto diretto con unita' di misura DIRETTA: (Grandezze omogenee) con strumento "tarato" es. : termometro, voltmetro ... INDIRETTA: dalla relazione fisica con altre grandezze es. : P = F/S STRUMENTO DI MISURA: dispositivo per determinare g 30 RIVELATORE: sensibile a grandezza da misurare (sollecitazione) TRASDUTTORE: trasforma sollecitazione STRUMENTO in grandezza facilmente misurabile VISUALIZZATORE: visualizza grandezza trasformata RIVELATORE: Mercurio Es. TERMOMETRO TRASDUTTORE: Mercurio + capillare VISUALIZZATORE: capillare + scala tarata RIVELATORE: bobina mobile in campo magnetico Es. AMPEROMETRO TRASDUTTORE: movimento bobina (rotazione ago) VISUALIZZATORE: posizione ago su scala "tarata" 31 CARATTERISTICHE STRUMENTO INTERVALLO FUNZ. (valore min-max grandezza) PRONTEZZA: tempo necessario per reagire alla sollecitazione τ τ = tempo caratteristico strumento τ (termometro) ~ secondi τ (oscilloscopio) ~ 10 -9 s SENSIBILITA`: ∆R(G) dR R(G): risposta S = = ∆V(G) dV V(G): valore grandezza se R lineare in V(G): S = cost. Altrimenti S funzione di V(G) (Ohmetro) Dimensioni : [G] -1 Es. Bilancia: S in DIV/mg 32 PRECISIONE: capacita' strumento a dare stessa risposta a stessa sollecitazione MISURE RIPETUTE (sensibilit : 1/∆g) N N g(G) g(G) ∆g GIUSTEZZA: assenza di effetti sistematici Difetto strumento (termometro: capillare a sezione variabile) Uso strumento in condizioni errate (regolo
    [Show full text]
  • The Revised SI for the Kilogram
    Out with the Old, in with the New: The Revised SI for the kilogram Aletta Karsten, Thapelo Mametja and Henk Potgieter [email protected] Outline • Background (SI and Revised SI) • What is SI units? • Why change? • How? • When? • South African perspective • Si sphere • Kibble Balance What is a SI unit? • The SI is defined by the SI Brochure, which is published by the BIPM. • The recommended practical system of units of measurement is the International System of Units (Système International d'Unités, with international abbreviation SI). • This SI consists of a set of base units, prefixes and derived units. • The SI is not static but evolves to match the world's increasingly demanding requirements for measurement. History of SI • First milestone • Creation of the decimal metric system at the time of the French Revolution • Deposition of two platinum standards representing the metre and the kilogram, on 22 June 1799, in the Archives de la République in Paris • Signing of the Metre Convention on 20 May 1875 • Created the BIPM and established the CGPM and the CIPM • Work began on the construction of new international prototypes of the metre and kilogram. • In 1889 the 1st CGPM sanctioned the international prototypes for the metre and the kilogram. • Together with the astronomical second as the unit of time, these units constituted a three-dimensional mechanical unit system similar to the CGS system, but with the base units metre, kilogram, and second, the MKS system. Changes in measurement standards (not new) Mass Redefinition of SI • Link to fundamental constants of nature • More accurate over time 1889 https://www.bipm.org/en/measurement-units/rev-si/ Which units will be redefined? Why? • The revision of the SI will ensure that the SI continues to meet the needs of science, technology, and commerce in the 21st century.
    [Show full text]
  • Surftest SJ-400
    Form Measurement Surftest SJ-400 Bulletin No. 2013 Aurora, Illinois (Corporate Headquarters) (630) 978-5385 Westford, Massachusetts (978) 692-8765 Portable Surface Roughness Tester Huntersville, North Carolina (704) 875-8332 Mason, Ohio (513) 754-0709 Plymouth, Michigan (734) 459-2810 City of Industry, California (626) 961-9661 Kirkland, Washington (408) 396-4428 Surftest SJ-400 Series Revolutionary New Portable Surface Roughness Testers Make Their Debut Long-awaited performance and functionality are here: compact design, skidless and high-accuracy roughness measurements, multi-functionality and ease of operation. Requirement Requirement High-accuracy1 measurements with 3 Cylinder surface roughness measurements with a hand-held tester a hand-held tester A wide range, high-resolution detector and an ultra-straight drive The skidless measurement and R-surface compensation functions unit provide class-leading accuracy. make it possible to evaluate cylinder surface roughness. Detector Measuring range: 800µm Resolution: 0.000125µm (on 8µm range) Drive unit Straightness/traverse length SJ-401: 0.3µm/.98"(25mm) SJ-402: 0.5µm/1.96"(50mm) SJ-401 SJ-402 SJ-401 Requirement Requirement Roughness parameters2 that conform to international standards The SJ-400 Series can evaluate 36 kinds of roughness parameters conforming to the latest ISO, DIN, and ANSI standards, as well as to JIS standards (1994/1982). 4 Measurement/evaluation of stepped features and straightness Ultra-fine steps, straightness and waviness are easily measured by switching to skidless measurement mode. The ruler function enables simpler surface feature evaluation on the LCD monitor. 2 3 Requirement Measurement Applications R-surface 5 measurement Advanced data processing with extended analysis The SJ-400 Series allows data processing identical to that in the high-end class.
    [Show full text]
  • UNIT 1 ELECTROMAGNETIC RADIATION Radiation
    Electromagnetic UNIT 1 ELECTROMAGNETIC RADIATION Radiation Structure 1.1 Introduction Objectives 1.2 What is Electromagnetic Radiation? Wave Mechanical Model of Electromagnetic Radiation Quantum Model of Electromagnetic Radiation 1.3 Consequences of Wave Nature of Electromagnetic Radiation Interference Diffraction Transmission Refraction Reflection Scattering Polarisation 1.4 Interaction of EM Radiation with Matter Absorption Emission Raman Scattering 1.5 Summary 1.6 Terminal Questions 1.7 Answers 1.1 INTRODUCTION You would surely have seen a beautiful rainbow showing seven different colours during the rainy season. You know that this colourful spectrum is due to the separation or dispersion of the white light into its constituent parts by the rain drops. The rainbow spectrum is just a minute part of a much larger continuum of the radiations that come from the sun. These are called electromagnetic radiations and the continuum of the electromagnetic radiations is called the electromagnetic spectrum. In the first unit of this course you would learn about the electromagnetic radiation in terms of its nature, characteristics and properties. Spectroscopy is the study of interaction of electromagnetic radiation with matter. We would discuss the ways in which different types of electromagnetic radiation interact with matter and also the types of spectra that result as a consequence of the interaction. In the next unit you would learn about ultraviolet-visible spectroscopy ‒ a consequence of interaction of electromagnetic radiation in the ultraviolet-visible
    [Show full text]