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Explore the various atomic models and delve into the concepts of quantum mechanics. Learn about the movement and behavior of atoms, the formation of molecules, and the probabilistic nature of quantum particles. Discover how these models are essential for understanding and predicting phenomena in science and technology.
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Images of atoms Dick Hoekzema Ed van den Berg Gert Schooten Centre for Physics Didactics University of Utrecht
Atomic models Kinetic theory of gases • Molecules/atoms move randomly at great speeds • Their number is huge • Their proper volume is negligible • Forces only during (elastisc) collisions
Andere modellen • Liquid, solid state • Volume and mutual attraction no longer negligible • Collisions not elastic • Elektricity: • Particles (can) carry charge • Chemistry • There are different kinds of particles
Modellen • For understanding • For prediction (science) • For manipulation (technology) • Reality………?
Historisch (1) Leucippus/Demokrites 450 BC If you think atoms can stop their course, refrain from movement, and by cessation cause new kinds of motion, you are far astray indeed. Since there is void through which they move, all fundamental motes must be impelled, either by their own weight or by some force outside them. When they strike each other, they bounce off; no wonder, either, since they are absolute solid, all compact, with nothing back of them to block their path....
Molecule formation According to Dalton (1810) Historically (2) Thomson model (1897) Rutherford sketch in alpha article (1911) motion???
Bohr model Aim: qualitative understanding of emission and absorption Representation of Quantisation BUT: Particle model UNSUITED AS FIRST STEP TOWARD QUANTUM MECHANICAL MODEL
Example 10: Imagine that we have “magic spectacles” through which we can see the air. Draw the air.
Some air is sucked out from the top, draw the air remaining in the flask
Essential Elements QM Model • Particle / Wave • Probability *
De fuzzy ball Molecule formation by fuzzy and sticky atoms
Visualisations of the wavefunction Electron wavefunctions visualized: the electron smeared out over the atom
Classical probability A pen is somewhere on the chair, f(x) is the probability per cm to find it. Draw f(x).
Solutions Two of many possibilities
Question The pen can be on any of the four chairs
Another solution If the chance is higher that it was left on chair 4
Question Draw the distribution of balls after 10 000 tries
Quantum • Interference: The big difference nr 1 (…, complementariteit, entanglement, identical particles, …) The riddle of the destruction of possibilities
Double slits Particles / waves / quantum’things’ Hit a two-slit diaphragm
Double slits Which of the two images A or B shows interference?
Quantum atoms Solutions of the SE
Simplefied models The particle in a box
The particle in a box Applications, eg: • Estimates of the size of an atom fromthe frequency of a spectral line • Calculation of the colour of organic dyes • Calculations of the strength of materials
Images of atoms Project Modern Physics Dick Hoekzema Ed van den Berg Gert Schooten Centrum voor Betadidactiek Universiteit Utrecht www.phys.uu.nl/~wwwpmn