Table of Contents
"Exercises of Nuclear and Matter Physics"
INTRODUCTION
PHYSICS OF MATTER
NUCLEAR PHYSICS
PARTICLE PHYSICS
"Exercises of Nuclear and Matter Physics"
SIMONE MALACRIDA
In this book, exercises are carried out regarding the following physics topics:
matter and solid state physics
nuclear and subnuclear physics
physics of particles and fundamental interactions
Simone Malacrida (1977)
Engineer and writer, has worked on research, finance, energy policy and industrial plants.
ANALYTICAL INDEX
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INTRODUCTION
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I – PHYSICS OF MATTER
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercises 12 _
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II – NUCLEAR PHYSICS
Exercise1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Exercise 13
Exercise 14
Exercise 15
Exercise 16
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III - PARTICLE PHYSICS
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Exercise 13
Exercise 14
Exercise 15
Exercise 16
Exercise 17
Exercise 18
INTRODUCTION
In this workbook some exemplary problems about the physics of matter (including solid state physics) and nuclear and particle physics are carried out.
These disciplines are generally addressed at the university level in advanced physics courses.
For this reason, they are aimed only at those who already have an advanced understanding of both university-level mathematical analysis problems and the physical theories necessary to understand the proposed exercises.
I
PHYSICS OF MATTER
Exercise 1
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A beam of light strikes an ampoule containing hydrogen atoms all in the first excited state 2s.
These atoms are totally ionized.
What is the energy of the incident photons if the kinetic energy of the photoemitted electrons is 10.7 eV?
Describe the absorption spectrum observed when the incident radiation has a flat spectrum up to 14.1 eV.
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For the conservation of energy we have that the energy of the incident photons plus the energy of the electron in the 2s state must be equal to the kinetic energy of the emitted electron.
The 2s electron has an energy:
And therefore the energy of the incident photons will be:
The spectrum will have a series of dark lines at the transitions between 2s and subsequent states.
Above 3.4 eV, the threshold for transitions to continuum states, a black band will be seen.
Exercise 2
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The spectrum of the HI molecule has lines separated by 13.1 /cm.
Knowing that the mass is 126.9 amu, what is the length of the molecular bond?
For which energy value is the maximum intensity in the absorption spectrum of the molecule at 300 K?
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In a rotational spectrum the lines are separated by energy intervals of amplitude equal to twice the rotational constant linked to the moment of inertia:
Therefore:
In our case we have:
The absorption maximum occurs in correspondence with the quantum number of the initial state.
The derivative of the state probability is:
The maximum of which is:
In our case it will be x=3.5
Exercise 3
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How many bands are there in the first Brillouin zone of a three-dimensional, monatomic solid made of bivalent atoms, of simple cubic structure and 10 angstrom lattice pitch?
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In such a solid we have:
They are the atomic energies of the two orbitals:
You will have two bands:
And the solid is a metal.
The minimum energy is obtained for:
The best for:
Verlag: BookRix GmbH & Co. KG
Tag der Veröffentlichung: 24.04.2023
ISBN: 978-3-7554-4022-2
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