Nuclear Physics, Lecture Notes - Engineering - Prof E mastorakos, Study notes of Physics

Basic Principals, Teminology, Radioactive Decay, Basic Decay Equations, Mass of Nuclei, Binding Energy, Nuclear Reaction, fission and Fusion

Typology: Study notes

2010/2011

Uploaded on 09/07/2011

andreasge
andreasge 🇬🇧

4.2

(12)

236 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
1
UNIVERSITY OF CAMBRIDGE
DEPARTMENT OF ENGINEERING
4M16 NUCLEAR POWER COURSE
BASIC PRINCIPLES
Introduction
The objective of this course is to give a basic introduction to nuclear energy and the principles of
physics which underlie the production of power from nuclear sources. Questions of health physics,
safety and waste production will also be discussed.
Terminology
Isotopes denoted by:
Z
AI
often simplified to
IA
eg U235, Pu239
where:
Mass Number A: is total number of heavy particles in the nucleus (nucleons)
Atomic Number Z: is the number of protons
Neutron Number N: is the number of neutrons
A = N + Z
Radioactive Decay
Alpha (α): the release of a helium nucleus, usually accompanied by gamma (γ) rays which
are a form of electromagnetic radiation
Mass number falls by 4, atomic number falls by 2
Beta (β): the emission of a negative particle equivalent to an electron by the transformation
of a neutron into a proton
Neutron = proton + beta (–) particle + neutrino
Mass number is unchanged, atomic number increases by 1
Beta positive decay is possible though less common
Proton = neutron + beta (+) particle + neutrino
Mass number is unchanged, atomic number falls by 1
Beta decay is again usually accompanied by gamma rays
Gamma (γ): emission is electromagnetic radiation and if alone there is no change in mass
atomic or neutron numbers.
Neutron emission also occurs in some nuclear reactions and is critical to the generation of
electricity by nuclear energy.
Basic Decay Equations
N = N0 exp(–λt)
where N is number of nuclei at time t
N0 is number at time 0
λ is the decay constant
pf3
pf4

Partial preview of the text

Download Nuclear Physics, Lecture Notes - Engineering - Prof E mastorakos and more Study notes Physics in PDF only on Docsity!

UNIVERSITY OF CAMBRIDGE

DEPARTMENT OF ENGINEERING

4M16 NUCLEAR POWER COURSE

BASIC PRINCIPLES

Introduction

The objective of this course is to give a basic introduction to nuclear energy and the principles of

physics which underlie the production of power from nuclear sources. Questions of health physics,

safety and waste production will also be discussed.

Terminology

Isotopes denoted by:

Z

A

I

often simplified to

I

A

eg U 235 , Pu 239

where:

Mass Number A : is total number of heavy particles in the nucleus (nucleons)

Atomic Number Z : is the number of protons

Neutron Number N : is the number of neutrons

A = N + Z

Radioactive Decay

Alpha (α): the release of a helium nucleus, usually accompanied by gamma (γ) rays which

are a form of electromagnetic radiation

Mass number falls by 4, atomic number falls by 2

Beta (β): the emission of a negative particle equivalent to an electron by the transformation

of a neutron into a proton

Neutron = proton + beta (–) particle + neutrino

Mass number is unchanged, atomic number increases by 1

Beta positive decay is possible though less common

Proton = neutron + beta (+) particle + neutrino

Mass number is unchanged, atomic number falls by 1

Beta decay is again usually accompanied by gamma rays

Gamma (γ): emission is electromagnetic radiation and if alone there is no change in mass

atomic or neutron numbers.

Neutron emission also occurs in some nuclear reactions and is critical to the generation of

electricity by nuclear energy.

Basic Decay Equations

N = N

0 exp(–λt)

where N is number of nuclei at time t

N

0 is number at time 0

λ is the decay constant

Half-life =

(ln 2 )

Unit of decay: bequerel (Bq) = one disintegration per second

One curie (Ci) = 3.7 x 10

10

Bq

The activity of one kg of material is given by

( λ N

a

( A )

Bq

where N a

is the Avogadro number = 6.022 x 10

26

A is the mass number (in kg)

Mass of Nuclei

Mass = m ± Δm

where m is an integer

Δm is the mass defect or excess

Atomic mass of a proton = 1.007277 u

Atomic mass of a neutron = 1.008665 u

Mass of an electron = 0.000549 u

Atomic mass unit (u) is defined as 1/12 of mass of C 12

One u = 1.66 x

  • 27

kg = 1/N a

Binding Energy

Einstein’s relationship E = mc

2

Binding mass energy (B) (or mass defect) is given by:

B = Nm n

  • Zm H

– M

A

(total mass of separate particles less mass of atom)

where m n

is mass of neutron

m H

is mass of a proton + an electron (mass of light hydrogen)

M

A is mass of the atom in question

Energy of Nuclear Reactions

one electron volt (eV) = 1.602 x 10

  • 19

J

one Atomic mass unit (u) is equivalent to 931 MeV

Nuclear Reactions

Fusion is the combination of two light atoms to produce one heavier atom eg

Lithium 6

  • Deuterium = 2 Helium + energy

It will be many years before fusion is of any commercial (non-military) importance despite intensive

research in many parts of the world, including the UK.