• Mechanics
    • —
      • M1. Vectors vs. Vector Quantities; Scalars vs. Scalar Quantities
      • M2. Significance of Newton’s First Law
      • M3. Newton’s Third Law: Its Formulation, Its Significance
      • M4. Momentum Conservation; Its Central Role
      • M5. Space Homogeneity And Momentum Conservation
      • M6. Inertial Mass
      • M7. Gravitational Mass
    • —
      • M8. Angular Momentum Characteristics
      • M9. Vanishing Of Total Internal Torque
      • M10. The Isotropy Of Space And Angular-Momentum Conservation
      • M11. Energy, A Central Concept
      • M12. Work And Its Relation To Kinetic And Potential Energy
      • M13. From Kepler’s Laws To Universal Gravitation
      • M14. Error And Uncertainty Distinguished
  • Thermodynamics
    • —
      • T1. What Is Thermodynamics
      • T2. Heat Vs. Internal Energy
      • T3. Equipartition And Degrees Of Freedom
      • T4. Frozen Degrees Of Freedom
      • T5. Six Versions Of The Second Law Of Thermodynamics
    • —
      • T6. Available And Unavailable Energy
      • T7. Entropy On Two Levels
      • T8. Subtleties Of Entropy
      • T9. The Arrow Of Time
  • Electricity & Magnetism
    • —
      • E1. Charge
      • E2. Early Links Between Electricity And Magnetism
      • E3. Monopoles, Not!
      • E4. The Q-ℰ-ℬ Triangle
    • —
      • E5. Inductance
      • E6. The Nature Of Light
      • E7. Why Light Travels At Speed C
      • E8. Notes On The History Of Electromagnetism
  • Relativity
    • —
      • R1. Agreement And Disagreement: Relativistic And Classical
      • R2. Transformations: Galilean And Lorentz
      • R3. “Michelson Airspeed Indicator”
      • R4. c = Constant Means Time Must Be Relative
      • R5. More Relativity And More Invariance
      • R6. E = mc2 As Einstein Derived It
    • —
      • R7. Momentum In Relativity, And Another Approach To E = mc2
      • R8. The Fourth Dimension: Spacetime And Momenergy
      • R9. Versions Of The Twin Paradox
      • R10. The Principle Of Equivalence
      • R11. Geometrodynamics
  • Quantum Physics
    • —
      • Q1. Five Key Ideas Of Quantum Mechanics
      • Q2. Granularity
      • Q3. Probability
      • Q4. Annihilation And Creation
      • Q5. Waves And Particles (The de Broglie Equation)
      • Q6. The Uncertainty Principle
      • Q7. Why Is The Hydrogen Atom As Big As It Is?
      • Q8. Localization Of Waves; Relation To Uncertainty Principle
    • —
      • Q9. Planck’s Quantum Not Yet A Photon
      • Q10. Planck’s Constant As The Particle-Wave Link
      • Q11. The Bohr Atom: Obsolete But Important
      • Q12. Bohr’s Key Atomic Postulates
      • Q13. Bohr’s Triumph: Explaining The Rydberg Constant
      • Q14. H-Atom Wave Functions And Classical Correspondence
      • Q15. The Jovian Task: Building The Atoms
      • Q16. Feynman Diagrams
  • Nuclear Physics
    • —
      • N1. Why Are There No Electrons In The Nucleus?
      • N2. The Line Of Nuclear Stability Bends And Ends
      • N3. The “Miracle” Of Nuclear Stability
      • N4. Pauli Letter Proposing What Came To Be Called The Neutrino
    • —
      • N5. Early History Of Radioactivity And Transmutation
      • N6. Bohr-Wheeler Theory Of Fission
      • N7. Sun’s Proton-Proton Cycle
  • General, Historical, Philosophical
    • —
      • G1. Faith In Simplicity As A Driver Of Science
      • G2. Science: Creation Vs. Discovery
      • G3. Is There A Scientific Method?
      • G4. What Is A Theory?
      • G5. The “Great Theories” Of Physics
      • G6. Natural Units, Dimensionless Physics
      • G7. Three Kinds Of Probability
      • G8. The Forces Of Nature
      • G9. Laws That Permit, Laws That Prohibit
    • —
      • G10. Conservation Laws, Absolute And Partial
      • G11. Math As A Tool And A Toy
      • G12. The “System Of The World”: How The Heavens Drove Mechanics
      • G13. The Astromical World, Then And Now
      • G14. Superposition
      • G15. Physics At The End Of The Nineteenth Century: The Seeds Of Rel & QM
      • G16. The Submicroscopic Frontier: Reductionism
      • G17. Submicroscopic Chaos
      • G18. The Future Path Of Science
  • Supplemental
    • Rainbows: Figuring Their Angles
  • Index
Basic PhysicsBasic Physics
A Resource for Teachers by Ken Ford
  • Mechanics
    • —
      • M1. Vectors vs. Vector Quantities; Scalars vs. Scalar Quantities
      • M2. Significance of Newton’s First Law
      • M3. Newton’s Third Law: Its Formulation, Its Significance
      • M4. Momentum Conservation; Its Central Role
      • M5. Space Homogeneity And Momentum Conservation
      • M6. Inertial Mass
      • M7. Gravitational Mass
    • —
      • M8. Angular Momentum Characteristics
      • M9. Vanishing Of Total Internal Torque
      • M10. The Isotropy Of Space And Angular-Momentum Conservation
      • M11. Energy, A Central Concept
      • M12. Work And Its Relation To Kinetic And Potential Energy
      • M13. From Kepler’s Laws To Universal Gravitation
      • M14. Error And Uncertainty Distinguished
  • Thermodynamics
    • —
      • T1. What Is Thermodynamics
      • T2. Heat Vs. Internal Energy
      • T3. Equipartition And Degrees Of Freedom
      • T4. Frozen Degrees Of Freedom
      • T5. Six Versions Of The Second Law Of Thermodynamics
    • —
      • T6. Available And Unavailable Energy
      • T7. Entropy On Two Levels
      • T8. Subtleties Of Entropy
      • T9. The Arrow Of Time
  • Electricity & Magnetism
    • —
      • E1. Charge
      • E2. Early Links Between Electricity And Magnetism
      • E3. Monopoles, Not!
      • E4. The Q-ℰ-ℬ Triangle
    • —
      • E5. Inductance
      • E6. The Nature Of Light
      • E7. Why Light Travels At Speed C
      • E8. Notes On The History Of Electromagnetism
  • Relativity
    • —
      • R1. Agreement And Disagreement: Relativistic And Classical
      • R2. Transformations: Galilean And Lorentz
      • R3. “Michelson Airspeed Indicator”
      • R4. c = Constant Means Time Must Be Relative
      • R5. More Relativity And More Invariance
      • R6. E = mc2 As Einstein Derived It
    • —
      • R7. Momentum In Relativity, And Another Approach To E = mc2
      • R8. The Fourth Dimension: Spacetime And Momenergy
      • R9. Versions Of The Twin Paradox
      • R10. The Principle Of Equivalence
      • R11. Geometrodynamics
  • Quantum Physics
    • —
      • Q1. Five Key Ideas Of Quantum Mechanics
      • Q2. Granularity
      • Q3. Probability
      • Q4. Annihilation And Creation
      • Q5. Waves And Particles (The de Broglie Equation)
      • Q6. The Uncertainty Principle
      • Q7. Why Is The Hydrogen Atom As Big As It Is?
      • Q8. Localization Of Waves; Relation To Uncertainty Principle
    • —
      • Q9. Planck’s Quantum Not Yet A Photon
      • Q10. Planck’s Constant As The Particle-Wave Link
      • Q11. The Bohr Atom: Obsolete But Important
      • Q12. Bohr’s Key Atomic Postulates
      • Q13. Bohr’s Triumph: Explaining The Rydberg Constant
      • Q14. H-Atom Wave Functions And Classical Correspondence
      • Q15. The Jovian Task: Building The Atoms
      • Q16. Feynman Diagrams
  • Nuclear Physics
    • —
      • N1. Why Are There No Electrons In The Nucleus?
      • N2. The Line Of Nuclear Stability Bends And Ends
      • N3. The “Miracle” Of Nuclear Stability
      • N4. Pauli Letter Proposing What Came To Be Called The Neutrino
    • —
      • N5. Early History Of Radioactivity And Transmutation
      • N6. Bohr-Wheeler Theory Of Fission
      • N7. Sun’s Proton-Proton Cycle
  • General, Historical, Philosophical
    • —
      • G1. Faith In Simplicity As A Driver Of Science
      • G2. Science: Creation Vs. Discovery
      • G3. Is There A Scientific Method?
      • G4. What Is A Theory?
      • G5. The “Great Theories” Of Physics
      • G6. Natural Units, Dimensionless Physics
      • G7. Three Kinds Of Probability
      • G8. The Forces Of Nature
      • G9. Laws That Permit, Laws That Prohibit
    • —
      • G10. Conservation Laws, Absolute And Partial
      • G11. Math As A Tool And A Toy
      • G12. The “System Of The World”: How The Heavens Drove Mechanics
      • G13. The Astromical World, Then And Now
      • G14. Superposition
      • G15. Physics At The End Of The Nineteenth Century: The Seeds Of Rel & QM
      • G16. The Submicroscopic Frontier: Reductionism
      • G17. Submicroscopic Chaos
      • G18. The Future Path Of Science
  • Supplemental
    • Rainbows: Figuring Their Angles
  • Index

Q11. The Bohr Atom: Obsolete But Important

Based on Basic Physics Feature 140

In hundreds of places in the modern world—in books and newspapers, on billboards and on television and army uniforms—we see atoms represented symbolically by a small central nucleus surrounded by the intersecting oval orbits of several electrons. This is a tribute to the impact of Niels Bohr and his 1913 work. At the same time it is an unfortunate distortion of the contemporary scientist’s conception of the atom. Bohr’s planetary model has evolved into what might better be called a nebular model, with electrons spread as waves of probability over the whole volume of the atom. This development notwithstanding, Bohr’s original atom model deserves a place in a survey of the fundamentals of physics, for, apart from its historical importance as a giant step toward quantum mechanics, it contained several basic ideas that have withstood the test of time and which remain as essential aspects of modern atomic theory. I discuss four of Bohr’s innovative—and still valid—postulates in the next Essay (Q12).

With a fresh Ph.D. in his pocket, Niels Bohr journeyed from Denmark to England in 1911 and came under the influence of two of the giants of atomic science, J. J. Thomson in Cambridge, and Ernest Rutherford in Manchester. Back in Copenhagen the following year, Bohr began to work out the details of a quantum mechanical model of the atom. His 1913 paper, describing what we now call the Bohr atom, represented the first successful application of quantum ideas to the structure of matter. (Application to radiation had come earlier.)

Bohr drew upon three main threads of earlier work that, to that time, had not been successfully woven together. First was the basic quantum idea of Planck and Einstein that radiation is emitted and absorbed only in discrete energy packets, with the energy of a single packet and its frequency being related by the equation E = hf. (Interestingly, Bohr accepted Planck’s quantized energy transfer but not Einstein’s quantized radiation.) Second was the highly developed empirical science of spectroscopy, particularly the simple regularities of the hydrogen spectrum and the so-called Ritz combination principle (which revealed simple numerical relationships among the frequencies of radiation from particular atoms). Third was the new physical picture of the atom advanced by Rutherford—a heavy positively charged nucleus of small dimensions surrounded by electrons. Bohr recognized that in some way Planck’s quantum constant had to play a role in the mechanics of the atom, for only then could the motion of the electrons and the processes of emission and absorption of radiation be drawn together in a unified theory. With what one colleague has called daring conservatism, Bohr abandoned only as much of classical mechanics as necessary, holding firm to those classical ideas that still seemed to work within the atom.


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