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EN250: Lecture 2 Radiation Physics X-ray Production Disclaimer: These slides are a compilation of pictures obtained from the WWW and various books, etc, and none is original. For example the flash demos are obtained from http://learntech.uwe.ac.uk/radscience/xray_prod/production_of_xrays03_files/frame.htm

EN250: Lecture 2 Radiation Physics X-ray Production Disclaimer: These slides are a compilation of pictures obtained from the WWW and various books, etc,

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EN250: Lecture 2Radiation Physics

X-ray Production

Disclaimer: These slides are a compilation of pictures obtained from the WWW and various books, etc, and none is original. For example the flash demos are obtained from http://learntech.uwe.ac.uk/radscience/xray_prod/production_of_xrays03_files/frame.htm

Overview

• Review of the structure of the atom

• Electromagnetic Radiation

• Production of X-rays

• Interaction of X-ray with matter

• Properties of X-rays

• Formation of an X-ray image

• Potential for 3D?

History of the Development of Atomic Models

1. Democritus (400 B.C.)– matter is made of atomos.2. John Dalton (1800’s) – proof for atoms. 3. J.J. Thomson (1904) – discovered electrons in

atoms; his model was of a positive sphere with e- embedded in it.

4. Ernest Rutherford (1911) – discovered nucleus; proposed that e- orbited a nucleus that had almost all the mass.

5. Niels Bohr (1913) – said e- orbited in fixed paths.6. James Chadwick (1932) – nucleus contained

protons & neutrons. 7. Erwin Schrodinger (1926) – electron “cloud”

model.

Review of the Structure of the Atom

• Atom is mostly empty space

• Mass is concentrated in its Nucleus

• Nucleus consists of Protons and Neutrons, the Neutrons, the NucleonsNucleons

• Electrons orbiting around the nucleus

ELECTRONS PROTONSNEUTRONS

ELECTRONS PROTONS NEUTRONS

Negative charge Positive charge Zero or neutral charge

# of electrons determines the charge of the atom

# of protons determines type of element the atom is

# of neutrons determines type of isotope the atom is

Much much smaller than protons

Much much bigger than electron

Much much bigger than electron

Contributes little to mass or weight of atom-hardly anything

Contributes significantly to mass or weight of atom

Contributes significantly to mass or weight of atom

Atomic Number

• Atomic Number A: Number of Nucleons

• Mass number Z: number of protons

Characterizing Atoms

• A Nuclide is characterized by A and Z

ORBITAL BASICS

(1) A shell is sometimes called an orbital or energy level.(2) Shells are areas that surround the center of an atom.(3) The center of the atom is called the nucleus.(4) Electrons live in something called shells.

SHELLS ONLY HOLD SOME ELECTRONS

• Not all shells hold the same number of electrons. For the first 18 elements, there are some rules. – The k-shell only holds two electrons. – The l-shell only holds eight electrons. – The m-shell only holds eight electrons (for the first 18

elements). The m-shell can actually hold up to 18 electrons as you move further along the periodic table.

• YOU CAN'T KNOW WHERE AN ELECTRON IS• Niels Bohr came up with all these ideas in

1913.

1IA1A

 18

VIIIA8A

 

11H

1.008

2IIA2A

                   13IIIA3A

14IVA4A

15VA5A

16VIA6A

17VIIA7A

2He4.003

23Li

6.941

4Be 9.012

                   5B

10.81

6C

12.01

7N

14.01

8O

16.00

9F

19.00

10Ne20.18

311Na 22.99

12Mg 24.31

3IIIB3B

4IVB4B

5VB5B

6VIB6B

7VIIB7B

8 9 10 11IB1B

12IIB2B

13Al

26.98

14Si

28.09

15P

30.97

16S

32.07

17Cl

35.45

18Ar

39.95------- VIII -------------- 8 -------

419K

39.10

20Ca40.08

21Sc

44.96

22Ti

47.88

23V

50.94

24Cr

52.00

25Mn54.94

26Fe

55.85

27Co58.47

28Ni

58.69

29Cu63.55

30Zn65.39

31Ga69.72

32Ge72.59

33As74.92

34Se78.96

35Br

79.90

36Kr

83.80

537Rb85.47

38Sr

87.62

39Y

88.91

40

Zr91.22

41

Nb92.91

42

Mo95.94

43

Tc(98)

44

Ru101.1

45

Rh102.9

46

Pd106.4

47

Ag107.9

48

Cd112.4

49

In114.8

50

Sn118.7

51

Sb121.8

52

Te127.6

53

I126.9

54

Xe131.3

655Cs132.9

56Ba137.3

57La*138.9

72

Hf178.5

73

Ta180.9

74

W183.9

75

Re186.2

76

Os190.2

77

Ir190.2

78

Pt195.1

79

Au197.0

80

Hg200.5

81

Tl204.4

82

Pb207.2

83

Bi209.0

84

Po(210)

85

At(210)

86

Rn(222)

787Fr

(223)

88Ra(226)

89Ac~

(227)

104

Rf(257)

105

Db(260)

106

Sg(263)

107

Bh(262)

108

Hs(265)

109

Mt(266)

110

---()

111

---()

112

---()

 114

---()

 116

---()

 118

---()

                          

         

Lanthanide Series*

58

Ce140.1

59

Pr140.9

60

Nd144.2

61

Pm(147)

62

Sm150.4

63

Eu152.0

64

Gd157.3

65

Tb158.9

66

Dy162.5

67

Ho164.9

68

Er167.3

69

Tm 168.9

70

Yb173.0

71

Lu175.0

   

Actinide Series~

90

Th232.0

91

Pa(231)

92

U(238)

93

Np(237)

94

Pu(242)

95

Am(243)

96

Cm(247)

97

Bk(247)

98

Cf(249)

99

Es(254)

100

Fm(253)

101

Md(256)

102

No(254)

103

Lr(257)

   

Valence Shell• The outermost shell is the valence shell• Valence Shell determines chemical, thermal,

optical, and electrical properties of the element• X-rays involves inner shells• Radioactivity and Gamma rays involve the

nucleus• Valence shells have at most 8 electrons• Metals have 1, 2, or 3, one of which can be easily

detached, the “free” electron, responsible for the excellent conduction of heat and electricity

Binding Energy• An atom is ionized when one of is electrons is completely

removed• The Binding Energy E is the energy required to remove this

electron• Usually measured in electronvolts (eV)• Example: Tungsten (W; Z=74)

– EK = 70, EL = 11, EM = 2, All in Kev

• Binding Energy EK for various atoms (usually < 100 kev)– W Z = 74 70 Kev– I Z = 53 33 Kev– Mo Z = 42 20 Kev– Cu Z = 29 9 Kev

• eV is the amount of energy gained by a single unbound electron when it accelerates through an electrostatic potential difference of one volt

Exciting an Atom

• Atom is called excited when an electron is raised from one shell to another further out, as a result of expenditure of energy

• When the electron falls back it emits this energy in a packet of energy, a photon of light (visible or ultraviolet)

• A Photon is an elementary particle, the quantum of the electromagnetic field and the basic unit of light and all other forms of electromagnetic radiation– Developed by Einstein (1905-1917) to explain the non-wave

properties of EM waves

Electromagnetic Radiation

• X-rays and Gamma rays are EM waves• Quantum aspects: Travel in a straight line,

photons: packets or quanta of energy• Wave aspects: Electric and Magnetic Fields at

right angle to each other and to the direction of wave travel of the wave; field strength sinusoidal: frequency f, period T, wavelength

Electromagnetic Specturm• Radio Waves and X-Ray/Gamma rays are

the only E&M Waves that can penetrate the body

Combined View• E = h f, h Plancks constant• E (in Kev)= 1.24 / Lambda (in nm)

– Blue Light lambda = 400nm E = 3ev– X-ray lambda = 0.1 nm E = 140Kev

• Rays travel from source in all directions• A beam is a collimated set of rays• Energy flux: Total energy (total number of

photons ) per unit area• Intensity is inversely proportional to

distance from source

Discovery of X-ray: Wilhelm Conrad

Roentgen (1845-1923)

Physical Institute of the University of Wurzburg

Roentgen’s early tube design

Roentgen’s Laboratory

Nov 1895: Penetrating solids

First X-Ray Picture: 22 Dec 1895

Modern X-ray Tubes

Production of X-raysProduction of X-rays• X-Rays are produced when fast moving

electrons are suddenly stopped by impact on a metal target

• The kinetic energy of the electrons is converted into heat (99%) and X-rays (1%)

• Structure of an X-ray Tube– A Negative Electrode, Cathode, fine Tungsten coil

or filament, heated to incandescence (2200 C) which gives off electrons (thermionic emission)

– A Positive Electrode, Anode, smooth flat metal target, usually Tungsten, collects these electrons which hit it with about half the speed of light

• Filament heating voltage about 10V and using about 10A

• The accelerating voltage in the range 30-150 kV and current of 0.5-1000 mA

Processes underlying X-ray formation– Elastic collision with Atoms– Inelastic collision with electrons in the outer shell

of an atom:• Excitation • Ionization

– Inelastic collision with electrons in the inner shell of an atom (Characteristic Radiation)

– Inelastic collision with the nuclei of the atom (Bremsstrahlung)

Elastic collision with target

The electron is deflected but looses very little kinetic energy because its mass is negligible, and continues in tortuous path because of successive interactions

Interaction between filament Interaction between filament electron and outer shell electron (1)electron and outer shell electron (1)

• Excitation

• i) This results in an outer shell electron gaining energy & being raised to a higher level.

• ii) Heat is produced as the electron falls back into its original path.

• No contribution to x-ray production

Interaction between filament Interaction between filament electron & outer shell electron (2)electron & outer shell electron (2)

• Outer shell electron ejected from target atom results in an outer shell electron being completely removed from the target atom.

• Both the filament & the ejected electrons may interact in either the first or second of these interaction processes with other target atoms

• Ultimately, this type of interaction may cause the target material to heat up

Illustration (2)

Inelastic collisions with electrons in the inner Inelastic collisions with electrons in the inner shell of an atom (characteristic radiation)shell of an atom (characteristic radiation)

• The incoming electron transfers sufficient energy to remove an The incoming electron transfers sufficient energy to remove an inner shell electron from its atom in the target. inner shell electron from its atom in the target.

• In order for this to occur the electron must possess energy at In order for this to occur the electron must possess energy at least as least as greatgreat as the as the binding energybinding energy of the inner shell. of the inner shell.

• Any surplus energy appears as additional kinetic energy in the Any surplus energy appears as additional kinetic energy in the ejected electron ejected electron

• The inner shell vacancy is quickly filled by an electron falling The inner shell vacancy is quickly filled by an electron falling inwards from a shell further out from the nucleus inwards from a shell further out from the nucleus

• This transition is accompanied by a burst of electromagnetic This transition is accompanied by a burst of electromagnetic radiation with energy equal to the difference in binding energies radiation with energy equal to the difference in binding energies of the two shells. of the two shells.

• This type of x-ray production is termed This type of x-ray production is termed characteristiccharacteristic because because the exact photon energy is characteristic of the element of the exact photon energy is characteristic of the element of which the target is made.which the target is made.

Illustration (3)

Energy levelsEnergy levels

• The difference in the binding energies of the K and L shells in tungsten is 70 keV - 11 keV = 59 keV.So a characteristic photon of 59 keV is emitted.

• The difference in the binding energies of the M and K shells in tungsten is 70keV - 2 keV = 68 keV.

• These two electron transitions are the most likely to occur, producing x-ray photons of 68 and 59 keV.

• Characteristic x-rays contribute less than 10% of an x-ray beam. The majority of x-ray production results from inelastic collisions of incoming electrons with the nuclei of the target atoms

Inelastic collisions with the nuclei of the atom Inelastic collisions with the nuclei of the atom (Bremsstrahlung Radiation)(Bremsstrahlung Radiation)

• The incoming electron passes very close to the nucleus of a The incoming electron passes very close to the nucleus of a target atom (1). target atom (1).

• The attraction causes the electron to deviate in its course (2) The attraction causes the electron to deviate in its course (2) • The sudden change of direction stimulates the electron to The sudden change of direction stimulates the electron to

release energy in the form of a photon of electromagnetic release energy in the form of a photon of electromagnetic radiation (3) radiation (3)

• The emission of radiation results in a reduction in the electrons The emission of radiation results in a reduction in the electrons kinetic energy causing it to slow down. kinetic energy causing it to slow down.

• The energy of the radiation depends on the degree of The energy of the radiation depends on the degree of deviation the electron suffers. deviation the electron suffers.

• In an extreme case the electron may actually be brought to In an extreme case the electron may actually be brought to rest. Thus the photon energy can be of any value from rest. Thus the photon energy can be of any value from zerozero up up to a maximum equal to the to a maximum equal to the initial initial kinetic energy of the kinetic energy of the incoming electron. incoming electron.

• This gives rise to a continuous spectrum of x-radiation and is This gives rise to a continuous spectrum of x-radiation and is known as braking (known as braking (BremsstrahlungBremsstrahlung) radiation.) radiation.

Illustration (4)

Interaction of X-Ray with matter

Example X-ray images

End of Lecture 2

Additional Slides

• Collimated vs non-collimated x-ray

• Dose Limits• Occupational Whole Body5,000 mrem per

yearExtremity and Skin of Whole Body 50,000 mrem per year Lens of the Eye 15,000 mrem per year Any single organ (e.g., Thyroid) 50,000 mrem per year Fetus of Declared Pregnant Worker500 mrem per term of pregnancyGeneral Public100 mrem per yearFor additional information see Section 6 of the University of Washington Radiation Safety Manual

http://www.amptek.com/xrf.html