X-RAY RADIATION Constants Units of Energy h = 6.626 - 10-3“ J•sec Planck constant e = 1.6- 10-19 C charge of electron c = 3. 10" m/sec speed of light m = 9.11- 10" kg mass of electron 1 ev = 1,602-10-"J 1 kev = 1,602-10-"J 1. Relationship between X-ray frequency and wavelength: K-cathode A- anode here à is wavelength (m), f is frequency (Hz), c is speed of light (m/sec). electrons -X-rays 2. Energy of X-rays photon: E = hfmar = Amin is minimum wavelength of X-ray radiation (m), fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant (I sec), c is speed of light propagation in vacuum (m'sec). 3. In the X-ray tube, firstly, the energy of electric field is transformed into the kinetic energy of electron motion: mv? ela = and then the kinetic energy of electron motion is transferred into energy of X-ray photons: = hfmax fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant (J'sec), c is speed of light propagation in vacuum (m/sec), e is charge of electron (C), m mass of electron (kg), U, is potential difference or voltage between cathode and anode (V), v is speed of electrons motion (msec). 4. Relationship between wavelenth of X-ray radiation and Voltage on the tube: 121 Amin (um) = U, is potential difference or voltage between cathode and anode (V), Amin is minimum wavelength of X-ray radiation (m). 5. Linear attenuation coefficient (1/m): H= k-p-2.z', k = 10-° is coefficient of proportionality (W/VA), p is density of the material (kg/m'), Z is atomic number of the material, i is wavelength of X-ray radiation (m). 6. Mass attenuation coefficient (m/kg): H == ka'za u is lincar attenuation coefficient, k= 10-" is cocfficient of proportionality (W/VA), p is density of the material (kg/m'), Z is atomic number of the material, i is wavelength of X-ray radiation (m). 7. Attenuation of X-ray radiation intensity: I = lge "Hd here I, is the initial intensity of X-rays (W/m); / is the intensity of X-rays after passing a material of thickness d (W/m²), d is thickness of the adsorbing layer (m), u is linear attenuation coefficient (1/m). 8. Half value layer: In(2) 0,693 HVL = u is linear attenuation coefficient (1/m).

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The 10-fold X-ray reduction values for (a) water, (b) concreate, (c) iron and (d) lead are equal 100 cm, 20 cm, 10 cm and 5 cm, respectively. Find corresponding values of linear attenuationcoefficients.

X-RAY RADIATION
Constants
Units of Energy
h = 6.626 - 10-3“ J•sec Planck constant
e = 1.6- 10-19 C charge of electron
c = 3. 10" m/sec speed of light
m = 9.11- 10" kg mass of electron
1 ev = 1,602-10-"J
1 kev = 1,602-10-"J
1. Relationship between X-ray frequency and
wavelength:
K-cathode
A- anode
here à is wavelength (m), f is frequency (Hz), c
is speed of light (m/sec).
electrons
-X-rays
2. Energy of X-rays photon:
E = hfmar =
Amin is minimum wavelength of X-ray radiation (m), fmax is maximum frequency of X-ray radiation
(Hz), h is Planck constant (I sec), c is speed of light propagation in vacuum (m'sec).
3. In the X-ray tube, firstly, the energy of electric field is transformed into the kinetic energy of
electron motion:
mv?
ela =
and then the kinetic energy of electron motion is transferred into energy of X-ray photons:
= hfmax
fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant (J'sec), c is speed of
light propagation in vacuum (m/sec), e is charge of electron (C), m mass of electron (kg), U, is
potential difference or voltage between cathode and anode (V), v is speed of electrons motion
(msec).
4. Relationship between wavelenth of X-ray radiation and Voltage on the tube:
121
Amin (um) =
U, is potential difference or voltage between cathode and anode (V), Amin is minimum wavelength
of X-ray radiation (m).
5. Linear attenuation coefficient (1/m):
H= k-p-2.z',
k = 10-° is coefficient of proportionality (W/VA), p is density of the material (kg/m'), Z is atomic
number of the material, i is wavelength of X-ray radiation (m).
6. Mass attenuation coefficient (m/kg):
H == ka'za
u is lincar attenuation coefficient, k= 10-" is cocfficient of proportionality (W/VA), p is density
of the material (kg/m'), Z is atomic number of the material, i is wavelength of X-ray radiation (m).
7. Attenuation of X-ray radiation intensity:
I = lge "Hd
Transcribed Image Text:X-RAY RADIATION Constants Units of Energy h = 6.626 - 10-3“ J•sec Planck constant e = 1.6- 10-19 C charge of electron c = 3. 10" m/sec speed of light m = 9.11- 10" kg mass of electron 1 ev = 1,602-10-"J 1 kev = 1,602-10-"J 1. Relationship between X-ray frequency and wavelength: K-cathode A- anode here à is wavelength (m), f is frequency (Hz), c is speed of light (m/sec). electrons -X-rays 2. Energy of X-rays photon: E = hfmar = Amin is minimum wavelength of X-ray radiation (m), fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant (I sec), c is speed of light propagation in vacuum (m'sec). 3. In the X-ray tube, firstly, the energy of electric field is transformed into the kinetic energy of electron motion: mv? ela = and then the kinetic energy of electron motion is transferred into energy of X-ray photons: = hfmax fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant (J'sec), c is speed of light propagation in vacuum (m/sec), e is charge of electron (C), m mass of electron (kg), U, is potential difference or voltage between cathode and anode (V), v is speed of electrons motion (msec). 4. Relationship between wavelenth of X-ray radiation and Voltage on the tube: 121 Amin (um) = U, is potential difference or voltage between cathode and anode (V), Amin is minimum wavelength of X-ray radiation (m). 5. Linear attenuation coefficient (1/m): H= k-p-2.z', k = 10-° is coefficient of proportionality (W/VA), p is density of the material (kg/m'), Z is atomic number of the material, i is wavelength of X-ray radiation (m). 6. Mass attenuation coefficient (m/kg): H == ka'za u is lincar attenuation coefficient, k= 10-" is cocfficient of proportionality (W/VA), p is density of the material (kg/m'), Z is atomic number of the material, i is wavelength of X-ray radiation (m). 7. Attenuation of X-ray radiation intensity: I = lge "Hd
here I, is the initial intensity of X-rays (W/m); / is the intensity of X-rays after passing a material of
thickness d (W/m²), d is thickness of the adsorbing layer (m), u is linear attenuation coefficient
(1/m).
8. Half value layer:
In(2) 0,693
HVL =
u is linear attenuation coefficient (1/m).
Transcribed Image Text:here I, is the initial intensity of X-rays (W/m); / is the intensity of X-rays after passing a material of thickness d (W/m²), d is thickness of the adsorbing layer (m), u is linear attenuation coefficient (1/m). 8. Half value layer: In(2) 0,693 HVL = u is linear attenuation coefficient (1/m).
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