Abstract
If, in some cataclysm, all scientific knowledge were to be destroyed, and only one sentence passed on to the next generation of creatures, what statement would contain the most information in the fewest words? I believe it is the atomic hypothesis (or atomic fact, or whatever you wish to call it) that all things are made of atoms - little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another. In that one sentence you will see an enormous amount of information about the world, if just a little imagination and thinking are applied.
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Notes
- 1.
Neutrons and protons consist of quarks, which are fundamental particles. Interested readers are encouraged to consult the standard model of elementary particle physics.
- 2.
Which usually do not change in a certain environment.
- 3.
One electron-Volt (\(\mathrm{eV}\)) is defined as the energy obtained by a single electron, when placed between two parallel plates with a voltage difference of one Volt between them.
- 4.
This energy exchange may take other forms as well, e.g. phonons (or heat), etc.
- 5.
Interested readers are encouraged to learn more about spinors.
- 6.
In 2D, it gives the probability per unit area, and in 1D, it gives the probability per unit length.
- 7.
The sum of two traveling waves in opposite direction gives a standing wave pattern.
- 8.
The value of the normalization coefficient should be adjusted to make the integral over the probability density equal to unity.
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Appendices
Problems
3.1 Calculate the energy value of \(n=2\) orbital in a hydrogen atom according to Bohr’s model.
3.2 Calculate the energy value of \(n=3\) orbital in a hydrogen atom according to Bohr’s model.
3.3 Calculate the energy value of \(n=4\) orbital in a hydrogen atom according to Bohr’s model.
3.4 Calculate the energy value of \(n=\infty \) orbital in hydrogen atom according to Bohr’s model. What is the physical meaning of this value?
3.5 Calculate the Bohr radius for \(n=2\) orbital.
3.6 Calculate the Bohr radius for \(n=3\) orbital.
3.7 Calculate the Bohr radius for \(n=4\) orbital.
3.8 Calculate the Bohr radius for \(n=\infty \) orbital. What is the physical meaning of this value?
3.9 If an electron makes a transition from \(n=2\) orbital to \(n=1\) orbital, what is the value of the energy exchange?
3.10 (n, l, m) \(=\) (2, 0, 0) corresponds to which orbital?
Research Assignment
R3.1 Explore the automobile applications of nanotechnology. Such applications include electronics, sensors (airbag sensor, oil sensor, tire pressure sensor), fabrics, glass, paint, catalytic converter, etc. Pick a topic of your choice about how nanotechnology is affecting automobile industry, and write a one-page summary.
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Raza, H. (2019). Atomic Matter. In: Freshman Lectures on Nanotechnology. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-11733-7_3
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DOI: https://doi.org/10.1007/978-3-030-11733-7_3
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