SlideShare uma empresa Scribd logo
1 de 26
The Wave Nature of Light All forms of NRG/Light have characteristic wavelengths (λ) and frequency (υ). Inversely related  λ υ = c (the speed of light) Light visible to the naked eye exists as a tiny portion of the electromagnetic spectrum
Electromagnetic Spectrum
Max Planck Transfer of energy was not continuous Only came in certain values (quantized) ΔE = hν h = Planck’s constant = 6.626 x 10-34 Js Packets of energy (quantum
Albert Einstein Proposed that electromagnetic radiation was quantized and made up of a stream of particles Photons The dual nature of light λ = h/mv (deBroglie equation)
Electrons as Waves Louis de Broglie ~1924 Louis de Broglie (1924) Applied wave-particle theory to electrons electrons exhibit wave properties QUANTIZED WAVELENGTHS Standing Wave Second Harmonic or First Overtone Fundamental mode  200  150  100    50     0 -  50 -100 -150 -200  200  150  100    50     0 -  50 -100 -150 -200  200  150  100    50     0 -  50 -100 -150 -200 0               50            100           150           200 0               50            100           150           200 0               50            100           150           200 Adapted from work by  Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Electrons as Waves QUANTIZED WAVELENGTHS Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Electrons as Waves ELECTRONS VISIBLE LIGHT Evidence: DIFFRACTION PATTERNS Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem Davis, Frey, Sarquis, Sarquis, Modern Chemistry2006, page 105
Spectrum	 Light is diffracted (bent) through different objects Hydrogen Spectra gave interesting results
Niels Bohr  In the Bohr Model (1913) the neutrons and protons occupy a dense central region called the nucleus, and the electrons orbit the nucleus much like planets orbiting the Sun. They are not confined to a planar orbit like the planets are.
Bohr Model Planetary    model After Rutherford’s discovery, Bohr proposed that electrons travel in definite orbits around the nucleus.
Bohr Cont. When the electrons are in their lowest possible NRG level, they are in their ground state.  Electrons absorb NRG and go to a higher NRG level(Excited State) NRG (Light) is released when the electron jumps from a higher NRG level to a lower NRG level(Fluorescence) Constantly happening
An unsatisfactory model for the hydrogen atom According to classical physics, light should be emitted as the electron  circles the nucleus.  A loss of energy would cause the electron to be drawn closer to the nucleus and eventually spiral into it. Hill, Petrucci, General Chemistry An Integrated Approach 2nd Edition, page 294
Quantum Mechanical Model Niels Bohr & Albert Einstein          Modern atomic theory describes the electronic structure of the atom as the probability of finding electrons within certain regions of space (orbitals).
Modern View The atom is mostly empty space Two regions Nucleus  protons and neutrons Electron cloud region where you might find an electron
Quantum Mechanics Werner Heisenberg ~1926 Heisenberg Uncertainty Principle Impossible to know both the velocity and position of an electron at the same time g Microscope Electron
Quantum Mechanics SchrödingerWave Equation(1926) finite # of solutions quantized energy levels defines probability of finding an electron Erwin Schrodinger ~1926 Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Quantum Mechanics Orbital Orbital (“electron cloud”) Region in space where there is 90% probability of finding an electron 90% probability of finding the electron Electron Probability vs. Distance 40 30 20 Electron Probability (%) 10 0 100 150 200 250 50 0 Distance from the Nucleus (pm) Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Quantum Numbers UPPER LEVEL Four Quantum Numbers: Specify the “address” of each electron in an atom Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Quantum Numbers Principal Quantum Number( n) Angular Momentum Quantum #( l) Magnetic Quantum Number( ml) Spin Quantum Number( ms)
Quantum Numbers 1. Principal Quantum Number( n) Energy level Size of the orbital Integral values  1s 2s 3s Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Quantum Numbers s p d f 2. Angular Momentum Quantum #( l) Energy sublevel Shape of the orbital Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Angular Momentum Quantum #( l ) Has integral values from 0 to n-1 Related to the shape of the orbital l = 0 is called s l = 1 is called p l = 2 is called d l = 3 is called f
Shapes of s, p, and d-Orbitals
Shape of f-orbitals
Quantum Numbers 3. Magnetic Quantum Number( ml) Orientation of orbital Specifies the exact orbital within each sublevel Has values between l and -l Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
Quantum Numbers 4. Spin Quantum Number( ms) Electron spin  +½ or -½ An orbital can hold 2 electrons that spin in opposite directions. Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Mais conteúdo relacionado

Mais procurados

Nuclei And Atoms Class 12
Nuclei And Atoms Class 12Nuclei And Atoms Class 12
Nuclei And Atoms Class 12
Self-employed
 
Planck’s hypothesis
Planck’s  hypothesis  Planck’s  hypothesis
Planck’s hypothesis
Jay Aspero
 
The Atom & Spectra
The Atom & SpectraThe Atom & Spectra
The Atom & Spectra
simonandisa
 
Physics Pp Presentation Ch 11
Physics Pp Presentation Ch 11Physics Pp Presentation Ch 11
Physics Pp Presentation Ch 11
josoborned
 

Mais procurados (20)

Nuclei And Atoms Class 12
Nuclei And Atoms Class 12Nuclei And Atoms Class 12
Nuclei And Atoms Class 12
 
Wave optics
Wave opticsWave optics
Wave optics
 
Topic 6 EM waves
Topic 6 EM wavesTopic 6 EM waves
Topic 6 EM waves
 
Class 12th Physics Photoelectric effect dual nature of matter radiations
Class 12th Physics Photoelectric effect dual nature of matter radiationsClass 12th Physics Photoelectric effect dual nature of matter radiations
Class 12th Physics Photoelectric effect dual nature of matter radiations
 
Ph 101-8
Ph 101-8Ph 101-8
Ph 101-8
 
Black body radiation.
Black body radiation.Black body radiation.
Black body radiation.
 
Light dualism
Light dualismLight dualism
Light dualism
 
Planck’s hypothesis
Planck’s  hypothesis  Planck’s  hypothesis
Planck’s hypothesis
 
Interference and the Wave Nature of Light
Interference and the Wave Nature of LightInterference and the Wave Nature of Light
Interference and the Wave Nature of Light
 
Michelson interfrometer
Michelson interfrometerMichelson interfrometer
Michelson interfrometer
 
Ap2 unit6 open stax notes wave optics
Ap2 unit6 open stax notes wave opticsAp2 unit6 open stax notes wave optics
Ap2 unit6 open stax notes wave optics
 
Wave particle duality
Wave particle dualityWave particle duality
Wave particle duality
 
Chapter 1a
Chapter 1aChapter 1a
Chapter 1a
 
1f properties of light eng
1f properties of light eng1f properties of light eng
1f properties of light eng
 
Energy levels and absorption spectra
Energy levels and absorption spectraEnergy levels and absorption spectra
Energy levels and absorption spectra
 
laser physics
laser physicslaser physics
laser physics
 
The Atom & Spectra
The Atom & SpectraThe Atom & Spectra
The Atom & Spectra
 
Bohr 2
Bohr 2Bohr 2
Bohr 2
 
Physics Pp Presentation Ch 11
Physics Pp Presentation Ch 11Physics Pp Presentation Ch 11
Physics Pp Presentation Ch 11
 
Polarization rotation using polarizers
Polarization rotation using polarizersPolarization rotation using polarizers
Polarization rotation using polarizers
 

Destaque

Ch 27 interference & wave nature of light online
Ch 27 interference & wave nature of light onlineCh 27 interference & wave nature of light online
Ch 27 interference & wave nature of light online
Scott Thomas
 
Photoelectric effect ppt
Photoelectric effect pptPhotoelectric effect ppt
Photoelectric effect ppt
Jason Baughman
 

Destaque (10)

A project on wave nature of light
A project on wave nature of lightA project on wave nature of light
A project on wave nature of light
 
Sharevolution - Cartographie de l'offre et des business models de la conso co...
Sharevolution - Cartographie de l'offre et des business models de la conso co...Sharevolution - Cartographie de l'offre et des business models de la conso co...
Sharevolution - Cartographie de l'offre et des business models de la conso co...
 
Wave nature of_light
Wave nature of_lightWave nature of_light
Wave nature of_light
 
Study material 12th Physics - Wave Theory of Light
Study material 12th Physics -  Wave Theory of LightStudy material 12th Physics -  Wave Theory of Light
Study material 12th Physics - Wave Theory of Light
 
Ch 27 interference & wave nature of light online
Ch 27 interference & wave nature of light onlineCh 27 interference & wave nature of light online
Ch 27 interference & wave nature of light online
 
Polarization of Light and its Application (healthkura.com)
Polarization of Light and its Application (healthkura.com)Polarization of Light and its Application (healthkura.com)
Polarization of Light and its Application (healthkura.com)
 
Photoelectric effect ppt
Photoelectric effect pptPhotoelectric effect ppt
Photoelectric effect ppt
 
Photo electric effect
Photo electric effectPhoto electric effect
Photo electric effect
 
Photoelectric effect ppt
Photoelectric effect pptPhotoelectric effect ppt
Photoelectric effect ppt
 
Je Partage ! Et Vous ? - Résultats de l'enquête Usages et motivations de ShaR...
Je Partage ! Et Vous ? - Résultats de l'enquête Usages et motivations de ShaR...Je Partage ! Et Vous ? - Résultats de l'enquête Usages et motivations de ShaR...
Je Partage ! Et Vous ? - Résultats de l'enquête Usages et motivations de ShaR...
 

Semelhante a Atomic Structure

AP Chemistry Chapter 6 Outline
AP Chemistry Chapter 6 OutlineAP Chemistry Chapter 6 Outline
AP Chemistry Chapter 6 Outline
Jane Hamze
 
Ch06 outline
Ch06 outlineCh06 outline
Ch06 outline
AP_Chem
 
Chapter 4 electrons in atoms
Chapter 4 electrons in atomsChapter 4 electrons in atoms
Chapter 4 electrons in atoms
tanzmanj
 
Unit 6 Presentation.ppt
Unit 6 Presentation.pptUnit 6 Presentation.ppt
Unit 6 Presentation.ppt
ssuser2ac9e9
 
Chapter 2 early quantum theory
Chapter 2 early quantum theoryChapter 2 early quantum theory
Chapter 2 early quantum theory
Miza Kamaruzzaman
 
Chapter 2 early quantum theory
Chapter 2 early quantum theoryChapter 2 early quantum theory
Chapter 2 early quantum theory
Miza Kamaruzzaman
 

Semelhante a Atomic Structure (20)

Quantum Mechanics: Electrons, Transistors, & LASERS.
Quantum Mechanics: Electrons, Transistors, & LASERS. Quantum Mechanics: Electrons, Transistors, & LASERS.
Quantum Mechanics: Electrons, Transistors, & LASERS.
 
Ap chem unit 7
Ap chem unit 7Ap chem unit 7
Ap chem unit 7
 
Apchemunit7 111006100549-phpapp02
Apchemunit7 111006100549-phpapp02Apchemunit7 111006100549-phpapp02
Apchemunit7 111006100549-phpapp02
 
Structure of atom
Structure of atomStructure of atom
Structure of atom
 
AP Chemistry Chapter 6 Outline
AP Chemistry Chapter 6 OutlineAP Chemistry Chapter 6 Outline
AP Chemistry Chapter 6 Outline
 
Ch06 outline
Ch06 outlineCh06 outline
Ch06 outline
 
Light
LightLight
Light
 
Advchemchapt7 101015115641-phpapp02
Advchemchapt7 101015115641-phpapp02Advchemchapt7 101015115641-phpapp02
Advchemchapt7 101015115641-phpapp02
 
C H6
C H6C H6
C H6
 
Limitations OF Classical Physics and Birth Of Quantum Mechanics
Limitations OF Classical Physics and Birth Of Quantum MechanicsLimitations OF Classical Physics and Birth Of Quantum Mechanics
Limitations OF Classical Physics and Birth Of Quantum Mechanics
 
Adv chem chapt 7
Adv chem chapt 7Adv chem chapt 7
Adv chem chapt 7
 
TOP ICSE SCHOOLS IN DELHI NCR
TOP ICSE SCHOOLS IN DELHI NCRTOP ICSE SCHOOLS IN DELHI NCR
TOP ICSE SCHOOLS IN DELHI NCR
 
Chapter 4 electrons in atoms
Chapter 4 electrons in atomsChapter 4 electrons in atoms
Chapter 4 electrons in atoms
 
Wave mechanics
Wave mechanicsWave mechanics
Wave mechanics
 
Unit-IV_22UCH101_Theory-1.pptx
Unit-IV_22UCH101_Theory-1.pptxUnit-IV_22UCH101_Theory-1.pptx
Unit-IV_22UCH101_Theory-1.pptx
 
Chapter4electronsinatoms 111110092817-phpapp02
Chapter4electronsinatoms 111110092817-phpapp02Chapter4electronsinatoms 111110092817-phpapp02
Chapter4electronsinatoms 111110092817-phpapp02
 
Unit 6 Presentation.ppt
Unit 6 Presentation.pptUnit 6 Presentation.ppt
Unit 6 Presentation.ppt
 
Chapter 2 early quantum theory
Chapter 2 early quantum theoryChapter 2 early quantum theory
Chapter 2 early quantum theory
 
Chapter 2 early quantum theory
Chapter 2 early quantum theoryChapter 2 early quantum theory
Chapter 2 early quantum theory
 
lezione_3.ppt
lezione_3.pptlezione_3.ppt
lezione_3.ppt
 

Mais de gbsliebs2002

Mais de gbsliebs2002 (20)

Thermo#2
Thermo#2Thermo#2
Thermo#2
 
Thermo#1
Thermo#1Thermo#1
Thermo#1
 
Gases pt.1
Gases pt.1Gases pt.1
Gases pt.1
 
Stoichiometric calculations
Stoichiometric calculationsStoichiometric calculations
Stoichiometric calculations
 
Balancing equations
Balancing equationsBalancing equations
Balancing equations
 
Periodic table
Periodic tablePeriodic table
Periodic table
 
Atomic strucutre
Atomic strucutreAtomic strucutre
Atomic strucutre
 
Atomic history day #2 1
Atomic history day #2 1Atomic history day #2 1
Atomic history day #2 1
 
Atomic history day #2 1
Atomic history day #2 1Atomic history day #2 1
Atomic history day #2 1
 
Atomic history day #1
Atomic history day #1Atomic history day #1
Atomic history day #1
 
Density
DensityDensity
Density
 
Measurements and sig figs
Measurements and sig figsMeasurements and sig figs
Measurements and sig figs
 
Physical properties
Physical propertiesPhysical properties
Physical properties
 
Representing matter
Representing matterRepresenting matter
Representing matter
 
The concept of equilibrium
The concept of equilibriumThe concept of equilibrium
The concept of equilibrium
 
Le châtelier’s principle
Le châtelier’s principleLe châtelier’s principle
Le châtelier’s principle
 
Collison Theory
Collison TheoryCollison Theory
Collison Theory
 
Thermo#2
Thermo#2Thermo#2
Thermo#2
 
Thermo#1
Thermo#1Thermo#1
Thermo#1
 
Gases Pt.1
Gases Pt.1Gases Pt.1
Gases Pt.1
 

Último

Histor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slideHistor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slide
vu2urc
 
IAC 2024 - IA Fast Track to Search Focused AI Solutions
IAC 2024 - IA Fast Track to Search Focused AI SolutionsIAC 2024 - IA Fast Track to Search Focused AI Solutions
IAC 2024 - IA Fast Track to Search Focused AI Solutions
Enterprise Knowledge
 

Último (20)

From Event to Action: Accelerate Your Decision Making with Real-Time Automation
From Event to Action: Accelerate Your Decision Making with Real-Time AutomationFrom Event to Action: Accelerate Your Decision Making with Real-Time Automation
From Event to Action: Accelerate Your Decision Making with Real-Time Automation
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt Robison
 
Finology Group – Insurtech Innovation Award 2024
Finology Group – Insurtech Innovation Award 2024Finology Group – Insurtech Innovation Award 2024
Finology Group – Insurtech Innovation Award 2024
 
Histor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slideHistor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slide
 
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
 
Handwritten Text Recognition for manuscripts and early printed texts
Handwritten Text Recognition for manuscripts and early printed textsHandwritten Text Recognition for manuscripts and early printed texts
Handwritten Text Recognition for manuscripts and early printed texts
 
GenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day PresentationGenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day Presentation
 
Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...
Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...
Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdf
 
Breaking the Kubernetes Kill Chain: Host Path Mount
Breaking the Kubernetes Kill Chain: Host Path MountBreaking the Kubernetes Kill Chain: Host Path Mount
Breaking the Kubernetes Kill Chain: Host Path Mount
 
IAC 2024 - IA Fast Track to Search Focused AI Solutions
IAC 2024 - IA Fast Track to Search Focused AI SolutionsIAC 2024 - IA Fast Track to Search Focused AI Solutions
IAC 2024 - IA Fast Track to Search Focused AI Solutions
 
2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...
 
The Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdf
The Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdfThe Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdf
The Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdf
 
Scaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organizationScaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organization
 
How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected Worker
 
The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024
 
A Call to Action for Generative AI in 2024
A Call to Action for Generative AI in 2024A Call to Action for Generative AI in 2024
A Call to Action for Generative AI in 2024
 
What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?
 
Exploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone ProcessorsExploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone Processors
 
The Codex of Business Writing Software for Real-World Solutions 2.pptx
The Codex of Business Writing Software for Real-World Solutions 2.pptxThe Codex of Business Writing Software for Real-World Solutions 2.pptx
The Codex of Business Writing Software for Real-World Solutions 2.pptx
 

Atomic Structure

  • 1. The Wave Nature of Light All forms of NRG/Light have characteristic wavelengths (λ) and frequency (υ). Inversely related λ υ = c (the speed of light) Light visible to the naked eye exists as a tiny portion of the electromagnetic spectrum
  • 3. Max Planck Transfer of energy was not continuous Only came in certain values (quantized) ΔE = hν h = Planck’s constant = 6.626 x 10-34 Js Packets of energy (quantum
  • 4. Albert Einstein Proposed that electromagnetic radiation was quantized and made up of a stream of particles Photons The dual nature of light λ = h/mv (deBroglie equation)
  • 5. Electrons as Waves Louis de Broglie ~1924 Louis de Broglie (1924) Applied wave-particle theory to electrons electrons exhibit wave properties QUANTIZED WAVELENGTHS Standing Wave Second Harmonic or First Overtone Fundamental mode 200 150 100 50 0 - 50 -100 -150 -200 200 150 100 50 0 - 50 -100 -150 -200 200 150 100 50 0 - 50 -100 -150 -200 0 50 100 150 200 0 50 100 150 200 0 50 100 150 200 Adapted from work by Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 6. Electrons as Waves QUANTIZED WAVELENGTHS Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 7. Electrons as Waves ELECTRONS VISIBLE LIGHT Evidence: DIFFRACTION PATTERNS Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem Davis, Frey, Sarquis, Sarquis, Modern Chemistry2006, page 105
  • 8. Spectrum Light is diffracted (bent) through different objects Hydrogen Spectra gave interesting results
  • 9. Niels Bohr In the Bohr Model (1913) the neutrons and protons occupy a dense central region called the nucleus, and the electrons orbit the nucleus much like planets orbiting the Sun. They are not confined to a planar orbit like the planets are.
  • 10. Bohr Model Planetary model After Rutherford’s discovery, Bohr proposed that electrons travel in definite orbits around the nucleus.
  • 11. Bohr Cont. When the electrons are in their lowest possible NRG level, they are in their ground state. Electrons absorb NRG and go to a higher NRG level(Excited State) NRG (Light) is released when the electron jumps from a higher NRG level to a lower NRG level(Fluorescence) Constantly happening
  • 12. An unsatisfactory model for the hydrogen atom According to classical physics, light should be emitted as the electron circles the nucleus. A loss of energy would cause the electron to be drawn closer to the nucleus and eventually spiral into it. Hill, Petrucci, General Chemistry An Integrated Approach 2nd Edition, page 294
  • 13. Quantum Mechanical Model Niels Bohr & Albert Einstein Modern atomic theory describes the electronic structure of the atom as the probability of finding electrons within certain regions of space (orbitals).
  • 14. Modern View The atom is mostly empty space Two regions Nucleus protons and neutrons Electron cloud region where you might find an electron
  • 15. Quantum Mechanics Werner Heisenberg ~1926 Heisenberg Uncertainty Principle Impossible to know both the velocity and position of an electron at the same time g Microscope Electron
  • 16. Quantum Mechanics SchrödingerWave Equation(1926) finite # of solutions quantized energy levels defines probability of finding an electron Erwin Schrodinger ~1926 Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 17. Quantum Mechanics Orbital Orbital (“electron cloud”) Region in space where there is 90% probability of finding an electron 90% probability of finding the electron Electron Probability vs. Distance 40 30 20 Electron Probability (%) 10 0 100 150 200 250 50 0 Distance from the Nucleus (pm) Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 18. Quantum Numbers UPPER LEVEL Four Quantum Numbers: Specify the “address” of each electron in an atom Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 19. Quantum Numbers Principal Quantum Number( n) Angular Momentum Quantum #( l) Magnetic Quantum Number( ml) Spin Quantum Number( ms)
  • 20. Quantum Numbers 1. Principal Quantum Number( n) Energy level Size of the orbital Integral values 1s 2s 3s Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 21. Quantum Numbers s p d f 2. Angular Momentum Quantum #( l) Energy sublevel Shape of the orbital Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 22. Angular Momentum Quantum #( l ) Has integral values from 0 to n-1 Related to the shape of the orbital l = 0 is called s l = 1 is called p l = 2 is called d l = 3 is called f
  • 23. Shapes of s, p, and d-Orbitals
  • 25. Quantum Numbers 3. Magnetic Quantum Number( ml) Orientation of orbital Specifies the exact orbital within each sublevel Has values between l and -l Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem
  • 26. Quantum Numbers 4. Spin Quantum Number( ms) Electron spin  +½ or -½ An orbital can hold 2 electrons that spin in opposite directions. Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem