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Reactor Theory
Seabrook Reactor Theory
100
Engineering
Professional
02/27/2008

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Cards

Term
State the characteristics of the following atomic particles including relative mass, charge, and location within the atom of a Proton
Definition

Relative Mass- Relatively Large

Charge- +1

Location- Nucleus

Term
State the characteristics of the following atomic particles including relative mass, charge, and location within the atom of an electron
Definition

Mass extremely small

charge -1

orbital rings

Term
State the characteristics of the following atomic particles including relative mass, charge, and location within the atom of a Neutron
Definition

Mass equal to proton.

no charge

In nucleus

Term
What is an Atomic Mass Unit
Definition

Equal to 1/12th of a carbon 12 atom

 

1.666 X 10^-27 Kg

Term
What is a Nucleon?
Definition
Neutron and Proton
Term
What is an isotope?
Definition
Isotopes are any of the different forms of an element each having different atomic mass (mass number).
Term
State the two terms that represent the method by which atoms and subatomic particles are measured.
Definition

Atoms and their subatomic particles are measured on the atomic scale that is based on mass and energy. Energy measurements are in units of eV, as discussed previously. The unit of measure for mass is the atomic mass unit (AMU).

Term

 Describe the characteristics of the following, including relative effective distance, change with distance, and nucleons involved with 

 Electrostatic Force
Definition
Electrostatic forces acts over relatively long distances and are cumulative and involve protons and electrons.
Term

Describe the characteristics of the following, including relative effective distance, change with distance, and nucleons involved with

Nuclear Force.

Definition
Act over short distances and decrease dramatically as distance increases. Nuclear forces act on adjacent nucleons.
Term
State the role that Neutrons have regarding stability of a nucleus.
Definition
Because of no electrostic force between protons and neutrons, the neutrons contribute binding nuclear forces to hold the neutron together. As the size of the nucleus increases, there is a point where the addition of neutrons no longer results in a balance of the repulsive and attractive forces within a nucleus.
Term
Define Binding Energy
Definition

Binding Energy represents the amounts of energy released when protons, neutrons, and electrons combine to form an atom.

Binding energy may also be considered as the amount of energy that must be supplied to an atom to seperate the atom.

Term

Define Binding Energy Per Nucleon

Definition
The average energy required to remove a nucleon from the nucleus.
Term

Define Fission

Definition

The splitting of a nucleus.

Occurs when excitation energy is sufficient in magnitude to overcome the the nuclear forces holding the nucleus together.

Term
Define Mass Defect
Definition
The difference between a nucleus and the sum of the sum of the masses of the individual protons and neutrons in the nucleus.
Term
Devfine Mass-energy equivilance.
Definition
The conversion factor equating mass to energy (931.5 MeV/AMU)
Term
Define Nuclear Stability
Definition

The inherent ability of an atom to resist changing its atomic structure or energy level.

Term
State the purpose of radioactive decay
Definition
The process by which an unstable nucleus spontaneously transmutes from one form to another to reach a more stable state.
Term

Identify the four basic types of radiation.

Definition
Alpha, Beta, Gama and Neutron
Term

For each of the basic types of radiation, disscuss the following:

Relative ability to penetrate substances when compared to the other three types of radiation.

Size or mass

Electrical Charge

 

Definition

Alpha Particle- Large mass with double positive charge. Low penetrating ability.

Beta Particle- Positive charge and has the mass of an electron more penetration than an alpha but less than a gama.

Neutrons- No charge high mass high penetration.

Gamma Rays- No Mass and No charge high penetration.

Term

[image]

Explain the shape of the BE / Nucleon chart above.

Definition

Initially the amount of energy required to remove a nucleon rises sharpely until about 60 as the binding energy increases. After that the electrostatic forces overcome the nuclear forces thereby reducing the amount of energy required to remove a nucleon.

Term

Given an atom with multiple electron shells,

compare allowed number of electrons in the outer shell to the allowed number of the inner shell.

Definition
The number of electrons per shell increases as with the distance from the nucleus.
Term
Given an atom with multiple electron shells, compare the energy carried by an electron in an outer shell to the energy carried by an electron in an inner shell.
Definition
Electrons with the lowest kinetic energy reside in the innershell. Electrons with the highest energy leve reside in the outer shells.
Term
Given and atom with multiple electron shells, describe the response of electrons in the outher shells to the ejection of an electron in an inner shell.
Definition
If an electron in ejected from an inner shell, an electron from an outer shell will fill the vacancy.
Term
Define Ground State Energy
Definition

The normal energy of an atom when its electrically neutral and not influenced by any outside energy inputs.

Term
Define excited state energy
Definition

Any condition that results in an atom being electrically charged or at an energy level above its ground state.

Term
Define Ion
Definition

An atom or a group of atoms that has aquired a net electric charge by gaining or losing an one or more electrons.

Term

Define Ionization

Definition
Any process that results in an atom or group of atoms to have a net electric charge by gaining or losing one or more electrons.
Term
Define Gamma Ray
Definition
A type of electromagnetic radiation emitted from an unstable nucleus allowing the nucleus to give off energy and return to a stable ground state.
Term
Define X-Ray
Definition
A bundle of energy (photon) emitted from the electron shell of an excited atom
Term
Define Radioactive Decay
Definition
The process by which an unstable nucleus spontaneously transmutes from one form to another to reach a more stable state
Term
 Define Decay Chain
Definition
A process involving the decay of a daughter producy of radioactive decay, which may result in transformation to another daughter product that decays. It is termed decay chain because a single decay event results in several orders of decays before reaching a stabile nuclide.
Term
Define spontaneous fission
Definition
Any fission that occurs independent of neutron induced fission. Generally occurs with radioisotopes with atomic numbers of 92 and above.
Term
Define Half-life
Definition
The time required for a radioactive sample to decay to one half of its original value.
Term
Explain how Alpha radiation interacts with the surrounding environment and lose energy.
Definition

An alpha particle deposits a large amount of energy in a short distance of travel due to its large mass and charge.

Term
Explain how Beta Radiation interact with the surrounding environment and loose energy.
Definition
Beta-minus particles interact with the electrons orbiting the nucleus of atoms, causing ionization by displacing the electrons. The Beta particle looses energy with each interaction. After the beta particle loses enough energy, it is captured in the orbital shells of an atom.
Term
Explain how gamma radiation interacts with the surrounding environment and loses energy
Definition
Gammas can undergo three interactions, Photoelectric effect, compton scattering, and pair production. In photoelectric a photon is absorbed and an electron is ejected. In compton scattering the photon is not fully absorbed. An electron is released and a lower energy photon is released. In pair production produces a positron-electron pair.
Term
Explain how Alpha Decay process occurs.
Definition
Alpha decay is the emission of an alpha particle (2 protons and 2 neutrons) from an unstable nucleus. The daughter nuclide has an atomic number 2 less than the parent nuclide and a mass number 4 less than the parent nuclide. The daughter nucleus commonly releases its excitation energy by gamma emission.
Term
Explain how Beta Minus decay processes occur.
Definition
Beta-Minus effectively changes a neutron into a proton and an electron which is immediately ejected from the nucleus. The daughter nuclide has its atomic number decreased by one and has the same mass number as the parent.
Term
Explain how electron capture decay process occurs.
Definition
In electron capture the nucleus absorbs an electron from the inermost orbit. This electron combines with a proton to form a neutron.
Term
Explain how photon decay takes place
Definition

When a parent nucleus emits an α or a β particle, the resulting daughter product formed may still be in an excited state.  The energy difference between the excited state and the ground state is released almost instantaneously as a gamma.

Term
Explain how neutron emission occurs
Definition
In reactor operations, a small fraction of the fission fragments has the necessary excitation energy to emit a neutron from the first excited daughter of the decay chain. The emission occurs shortly after the formation of the excited nucleus.
Term
Compare elastic and inelastic scattering processes.
Definition

Elastic scattering occurs when a neutron is deflected by a nucleus without being absorbed. Elastic scattering conserves kinetic energy.

Inelastic scattering is similar to elastic scattering, except that kinetic energy is not conserved.

Term

Compare radiative capture and fission processes

Definition
In radiative capture, a neutron is absorbed by the target nucleus, resulting in an excited compound nucleus. Neutron induced fission is similar to radiative capture, except that sufficient energy is added to the target causing the target nucleus to split.
Term

Explain the half life method of determining radiocative decay.

Definition

N(T) = N0e^-(decay constant)(t)

decay constant=.693/halflife

Term
State the difference between "microscopic cross section" and "macroscopic cross section"
Definition

Microscopic relates to the probability of an individual interaction between a neutron and a nucleus.

Macroscopic relates to the probability of an event to happen within a given volume. Takes into account atomic densit and microscopic cross section.

Term
Define Mean Free Path
Definition
The inverse of this cross section describes how far the average neutron travels before an interaction takes place.
Term
Define Critical Energy
Definition
The minimum amount of energy required for fission to occur.
Term
Define Fissile Material
Definition
Fuel types that fission due to the neutron binding energy.
Term
Define Fissionable Material
Definition
Fuel types that require additional energy (above the binding energy of the neutron, in the form of neutron kinetic energy) to cause fission.
Term
Define Fission
Definition
The splitting of an atoms nucleus to a lower energy state.
Term
Define Prompt Neutron
Definition
Neutrons emitted within 10–14 seconds of the fission event that are a direct result of the fission process are defined as prompt neutrons.
Term
Define Fast Neutron
Definition
Fast neutrons are neutrons with a kinetic energy greater than 0.1 MeV (105 eV).
Term
Define Intermediate Neutron
Definition
Intermediate neutrons (also, epithermal neutrons) are neutrons with kinetic energies between 1 eV and 0.1 MeV.
Term
Define Slow Neutron
Definition
Neutrons having kinetic energies less than 1 eV are termed slow neutrons.
Term
Define Thermal Neutron
Definition

Thermal neutrons are neutrons in thermal equilibrium with their surroundings. Depending on their surroundings, thermal neutrons can be fast, intermediate, or slow.

Term
Define Delayed Neutron
Definition
Neutrons born more than 10–14 seconds after the fission event are defined as delayed neutrons.
Term
Source Neutron
Definition
Neutrons produced independently of fission are termed source neutrons. Source neutrons consist of neutrons produced by installed neutron sources and intrinsic neutron sources.Intrinsic neutron sources include neutrons produced by spontaneous fission and by alpha and gamma-neutron reactions.
Term
Describe Neutron Induced Fission using the liquid drop model method.
Definition

When an incident neutron strikes a target fuel nucleus and undergoes an absorption interaction, excitation of the target occurs by an amount equal to the neutron binding energy plus the neutron’s kinetic energy. The addition of this excitation energy causes the target nucleus to vibrate and deform into a dumbbell shape.If the combined binding energy and kinetic energy added by the neutron is not sufficient to overcome the nuclear forces of the target nucleus, the target nucleus returns to its original shape.If the added energy is sufficient to overcome the nuclear forces, fission is likely to occur.

Term
Explain the reason for the shape of the Fission Product Yield Curve.
Definition
A brief inspection of the experimental data depicted by this curve shows that one of these fission fragments is lighter (A»95) while the other is heavier (A»139).
Term
List the components and energy breakdown resulting from the fission of U-235.
Definition
[image]
Term
Explain how the fission process results in heat with the reactor.
Definition
Fission results in fragments with high kinetic energy. The kinetic energy transfers via scattering to raise the kinetic energy of the target nuclei. Thereby transferring heat.
Term
State the meeting of the term "decay heat" and explain why it is a concern in the nuclear power plant.
Definition
Decay heat is the heat generated from fisson fragments (daughters) and is a concern because it is there after core is shutdown.
Term
Explain why decay heat is present following reator operation.
Definition
Fisson fragments (daughters) radioactively decay releasing energy.
Term
List three variables that will affect the amount of decay heat present following reactor shutdown.
Definition

Power

Time after shutdown

Time at Power

 

Term
Estimate the approximate amount of decay heat that will exist one hour after a shutdown from steady stat conditions.
Definition

Closer to 7% approx 5%

1% after 2 and 3/4 hours.

Term
Define effective multiplication factor (Keff) and discuss its relationship to the state of the reactor.
Definition
The number of neutrons that begin one generation compared to the number of neutrons that begin the next generation. The reactor is criticallity is determined by this.
Term
Define fast fission factor.  (E)
Definition

Fast neutrons produced by ALL fission events/

fast neutrons produced by THERMAL fission events

 

>1

Term
Define Fast non-leakage probability factor  Lf
Definition

Fast neutrons that start to slowdown/

fast neutrons produced from all fission events

Term
Define resonance escape prob factor. P
Definition

Fast neutrons that become thermal/

fast neutrons that start to slowdown

 

<1

Term
Define thermal non-leakage prob factor. LH
Definition

Thermal neutrons absorbed in core/

fast neutrons that become thermal

Term
Define thermal utilization factor (f)
Definition

Thermal neutrons absorbed in fuel/

thermal neutrons absorbed in core

 

<1

Term
Define reproduction factor. n
Definition

Fast neutrons produced by thermal fission events/

thermal neutrons absorbed in fuel

 

>1

Term
Define Neutron generation time.
Definition
Time from birth of one generation of neutrons to the time of birth of the next generation
Term
Define critical.
Definition
Neutron pop is stable Keff=1
Term
Define subcritical.
Definition

Neutron pop is lowering Keff<1

Term
Define Supercritical
Definition
Neutron pop is increasing Keff>1
Term
Define reactivity
Definition

Keff-1/Keff 

Departure from criticallity

Term
State the relationship between reactivity and effective multiplication factor (Keff)
Definition

If Keff=1 reactivity =0

Keff<1 reactivity - (neg)

Keff>1 reactivity - (pos)

Term
Describe the production of delayed neutrons.
Definition

Some fission fragments decay to a new element (Fission Daughter Product) that immediately releases neutron

These fission fragments are a called “Delayed Neutron Precursors” (DNP)

The released neutron is called a “Delayed Neutron

The decay time of DNP determines how long it takes for the Delayed Neutron to be released

Term
Explain the effect of delayed neutrons on reactor control.
Definition

Even though the delayed neutrons constitute a very small fraction of the neutron population, they significantly increase the average neutron generation lifetime. 

With a longer generation time, fewer generations occur per unit time

The longer generation time makes it possible to control the fission process (i.e. reactor power)

Term
Define reactor period
Definition
The time in seconds for power to change by a factor of "e" (2.718)
Term
Define Startup Rate
Definition
The time in Minutes for for power to change one decade.
Term
Describe the factors affecting reactor period and time.
Definition

Prompt neutron time.

Prompt neutron fraction

Delayed neutron generation time

Delayed neutron fraction

Reactivity.

Term
Define delayed neutron fraction.
Definition
Fraction of all fissions neutrons in a generation that were born delayed.
Term
Define core delayed neutron fraction.
Definition
The average fraction of neutrons born delayed from fission of all fuels in the reactor core.
Term
Define effective delayed neutron fraction
Definition
Delayed neutron fraciton X importance factor.
Term
State the reasons for the variations between delayed neutron fraction, core delayed neutron fraction, and the effective delayed neutron fraction.
Definition

Core delayed neutron fraction takes in account the different types of fuel in the core. The effective delayed neutron fraction is the core delayed neutron fraction corrected for the lack of contribution to the fast fission factor.

Term
Define doubling time
Definition
The time in seconds for the neutron level to change a factor of 2.
Term
Explain prompt critical
Definition
When reactivity is greater than the effective delayed neutron fraction the multiplication of prompt neutrons alone will sustain the power increase.
Term
Explain prompt jump
Definition

The initial instantaneous increase (“jump”) in reactor power when positive reactive is added to the reactor. This increase is due to the immediate production of prompt neutrons vs. the lagging production of delayed neutrons. The prompt neutrons initially dominate the fission production and power rises very rapidly. This power increase on prompt neutrons alone is short lived due the reactor’s designed dependence on delayed neutrons 

Term
Explain prompt drop
Definition
The quick drop in power while prompt neutron changes are outweighing the slower change in delayed neutron population. This results is a dramatic change in fission rate.
Term
Explain why a startup neutron source may be required for a reactor.
Definition
Without a startup neutron source, the neutron population of a subcritical reactor would decay to zero.
Term
List four variables involved in a reactivity balance.
Definition

(Temperature, pressure, samarium, xenon, rods, core age)

Term
Explain how a reactivity balance may be used to predict conditions under which the reactor will become critical.
Definition
An ECP is a mathmatical calculation that accounts for changes in the variables between shutdown and last criticality.
Term
List three methods used to shape or flatten the core power distributions.
Definition
reflectors, installed poisons, control rods
Term
Describe the concept of power tilt.
Definition
It is a non‑symmetrical variation of core power in one quadrant of the core relative to the others.
Term
Define the concept shut down margin
Definition
Shutdown margin is the instantaneous amount of reactivity by which a reactor is sub-critical or would be sub-critical from its present condition assuming all control rods are fully inserted except for the single rod with the highest integral worth and equilibrium xenon removed. 
Term
Identify the five changes that will occur during and after a reactor shutdown that will affect the reactivity of the core.
Definition

·          Control rod position

·          Soluble neutron poison concentration

·          Temperature of the fuel and coolant

·          Xenon concentration

·          Samarium concentration

Term
Explain why decay heat is present following reactor operation.
Definition
Decay heat is present as a result of the decay of fission fragments.
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