Proceedings NSRP‐19, Dec. 12‐14, 2012
Mamallapuram, Tamil Nadu, India
35
A Comparative Study of Mass Attenuation Coefficients
for Pharmaceutical Compounds
Manjunath A, Rajeshwari T and B R Kerur*
Department of Physics, Gulbarga University, Gulbarga – 585 106 (India)
*kerurbrk@hotmail.com
ABSTRACT
A non-destructive analytical method was used to analyze the quality assurance of the pharmaceutical drugs by determining
the mass absorption coefficient. The opted pharmaceutical product was a diclofenac sodium of different manufacturers such
as Diclomol, Diclogesic, Dynapar and Voveran Plus at different energies from 13 keV to 33 keV using Am-241 primary
source with Rb, Mo, Ag and Ba are the secondary targets of radioactive sources. The photon intensity is analyzed using a
good geometry HPGe detector system coupled to PC based Multichannel Analyzer (MCA). The qualities of the above said
samples are discussed by the obtained values of mass attenuation coefficient.
Keywords: Attenuation coefficient, X-ray Spectrometric, Diclofenac sodium
Introduction
Analysis is a critical and integral part of the pharma
business. Its only upon clearance of products on the analysis
can the products be even released into the market. Hence,
analytical methods as well as the involved analytical tools
assume prime importance. Several well known analytical
tools viz., HPLC, GC, IR, UV-Vis, atomic absorption
spectrophotometer etc., are available to a pharmaceutical
analyst. This article attempts to depict merits of the mass
absorption spectrometer in estimation of quality assurance of
the pharmaceutical products. Hence, in this approach
Diclofenac Sodium tablets were chosen as the model drug
for the study. The drug chosen for the study has a great
importance due to its large clinical applications especially
for the cases of arthritis, including both osteoarthritis and
rheumatoid arthritis. Many researchers have carried out
studies in determining the composition and concentration
levels of diclofenac sodium in various commercially
available tablets [1, 2].
A great number of experimental investigations have
been performed to determine the mass attenuation coefficient
for various materials such as elements, compounds, tissue
equivalent compounds, mixtures, alloys, building materials,
etc [3-9] at different photon energies. However, in the
literature, there are almost no reports on the study of mass
attenuation
coefficient
measurements
for
present
pharmaceutical samples in the energy range 13 - 33 keV. In
the present work, the mass attenuation coefficient of some
pharmaceutical samples are determined at 13 keV to 33 keV
using 241Am source and Rb, Mo, Ag and Ba secondary
exciter are used to get photons in the above energy range.
Sample Description
The diclofenac sodium tablets are combination of
paracetamol and diclofenac sodium in the proportion of 500
mg and 50 mg respectively. Paracetamol (p-hydroxy
acetanilide) is a compound with analgesic and antipyretic
properties. It is much safer than aspirin in terms of gastric
irritation, ulceration and bleeding [10, 11].
Diclofenac sodium [2-[(2, 6-dichlorophenyl)] amino]
benzene acetic acid monosodium salt] is a compound with
potent anti-inflammatory property and belongs to a class of
drugs called Non-Steroidal Anti-Inflammatory Drugs
(NSAIDs). It affords quick relief of pain and wound edema
[12, 13]. These are commonly used for the reduction of mild
to moderate pain, inflammation, fever and stiffness as well as
for medical conditions related to pain and inflammation.
They work by inhibiting the action of certain hormones that
cause inflammation and pain in the body. Diclofenac in
combination with Paracetamol helps reduce headaches, body
pain, menstrual and dental pain, sports and accident injuries,
rheumatism, arthritis, lumbago, bursitis and sciatica. A few
common side effects include sickness, an unexplained rash,
and stomach pain.
Hypothesis Of Attenuation Coefficient
Low-Z materials are often used or considered for use as
scattered of x-ray beams. These uses may originate from a
desire to reduce the intensity of the x-ray beam, e.g., for
diagnostic purposes, or may be required as a result of
experimental geometry constraints. When radiations are
allowed to pass through any materials its intensity is
progressively decreases as a result of complex series of
interaction between radiation and the atoms in the
attenuating media. It is caused by both the absorption and
scattering of the primary photons. A narrow beam of monoenergetic photons with incident intensity I0, penetrating an
absorbing material with mass thickness x and density ρ,
emerges with an intensity I is given by the exponential law
as:
(1)
⎞ ⎤
I
= exp ⎡⎢ − ⎛⎜ μ
I0
ρ ⎟⎠ x ⎥⎦
⎣ ⎝
This equation can be rewritten as:
μ
−1
⎛ I ⎞
ρ = x ln ⎜⎝ I 0 ⎟⎠
(2)
from which μ/ρ can be obtained from measured values of I,
I0 and x. Note that the mass thickness is defined as the mass
per unit area and is obtained by multiplying the thickness t
by the density ρ i.e., x = ρt
If the absorber consists of a chemical compound or a
homogeneous mixture, the mass attenuation coefficient can
be calculated approximately from the weighted average (by
mass) of the individual mass attenuation coefficients of the
constituent elements in the compounds are usually estimated
by using the Bragg’s additivity law commonly called as the
mixture rule is given as;
Proceedings NSRP‐19, Dec. 12‐14, 2012
Mamallapuram, Tamil Nadu, India
μ
ρ
=
∑
i
⎛ μ ⎞
⎟⎟
⎝ ρ ⎠
ω i ⎜⎜
36
(3)
i
where (μ/ρ)ι is the mass attenuation coefficient for the ith
element and ωi, is its weight fraction of the ith element. The
mass attenuation coefficient can also be expressed as barns
per atom through the expression:
(4)
σ (barns / atom ) = ⎛⎜ A N ⎞⎟ x10 −24 ⎛⎜ μ ρ ⎞⎟(cm 2 / gm )
⎠
⎝
A⎠
⎝
where A is the atomic weight of the absorber material and NA
is the Avogadro's number.
The attenuation coefficient, photon interaction and
related quantities are functions of the photon energy. The
total cross section can be written as the sum over
contributions from the principle photon interactions.
(5)
σ = σ +σ +σ
+σ +σ +σ
pe
coh
incoh
pair
trip
ph.n
where σpe is the atomic photoelectric cross section, σcoh and
σincoh are the coherent (Rayleigh) and incoherent (Compton)
scattering cross sections, respectively σpair and σtrip are the
cross sections for electron – positron pair production in the
fields of the nucleus and of the atomic electrons, respectively
and σ ph.n is the photonuclear cross section. Photonuclear
cross section can contribute as much as 5% to 10% of the
total photon interaction in the energy range of 5 MeV to 40
MeV.
Experimental Procedure
The preferred diclofenac sodium tablets from various
firms (manufacturer) such as Diclomol, Dynapar, Diclogesic
and Voveran plus, across the country (India) were collected
from the medical dispensaries. The drug composes
acetaminophen commonly called as paracetamol and
diclofenac sodium in the proportion of 500 mg & 50 mg
Fig.1 :
respectively. The tablets were grind to a fine powder to
pelletize the samples of variable thickness with an area of
1.327 cm2 using hydraulic pellet machine. The X-ray
spectrometric technique comprising the High Purity
Germanium (HPGe) detector was adopted to determine the
mass attenuation coefficients [8]. Am-241 was used as
primary source and Mo, Ag, Ba and Rb were used as target
to produce the x-rays in the energy range 13 to 33 keV. The
good-geometry experimental arrangement is shown in Fig. 1.
X-rays emitted from the variable energy x-ray source, S
passes through the collimator C1 and are incident on the
absorber A (pellets) of different thickness kept normal to the
photon beam. The transmitted beam passing through
collimator C2 are detected by a high resolution HPGe x-ray
detector system D. To measure the transmitted intensity
(Beer-Lambert’s law) accurately it is important that the
sample is mounted exactly normal to the x-ray beam. The
transmitted x-ray spectrum can be recorded using a PC based
multichannel analyzer and the mass attenuation coefficients
can be measured using equation (1). The obtained mass
attenuation coefficients of the samples were compared with
the theoretical values using WinXcom software at above
energies.
For the compounds the theoretical mass attenuation
coefficients are determined from the additivity law. The
percentage deviations (PD) mentioned in Table 1 indicates
the deviation of experimental values from the corresponding
theoretical values and is given by
(μ ρ )exp − (μ ρ )th
(6)
Percentage Deviation =
x 100
(μ ρ )th
Results And Discussion
The experimental and theoretical results of mass
attenuation coefficient of the diclofenac sodium tablets from
different firms have been tabulated in table 1.
Schematic diagram showing the experimental setup for the measurement of μ/ρ
Proceedings NSRP‐19, Dec. 12‐14, 2012
Mamallapuram, Tamil Nadu, India
37
Table 1: Mass Attenuation Coefficient for the diclofenac
tablets of different firms at different energies
Name of the
sample
Mass attenuation
coefficient in (cm2/g)
Expt
5.0
PD (%)
4.5
4.0
WinXcom
3.5
2.36
-53.88
Diclomol
2.18
Dynapar
2.13
-58.37
Vovaran
Plus
1.81
-64.63
-57.40
2
Diclogesic
μ/ρ in cm /g
13.395 KeV
5.1168
Diclogesic
Diclomol
Dynapar
VoveranPl
WinXcom
5.5
3.0
2.5
2.0
1.5
1.0
0.5
17.481 KeV
Diclogesic
1.60
0.0
-34.17
2.4307
Diclomol
1.41
Dynapar
1.13
-53.51
Vovaran
Plus
0.92
-62.15
20
25
30
35
Energy in Kev
Fig.2 :
Variation of mass attenuation coefficient of
diclofenac sodium tablets of different manufacturer.
Conclusions
Diclogesic
0.78
-39.65
Diclomol
0.46
Dynapar
1.03
-20.30
Vovaran
Plus
0.32
-75.24
-64.41
32.2 KeV
Diclogesic
0.20
Diclomol
0.17
-63.25
Dynapar
0.72
+32.30
Vovaran
Plus
0.66
+21.28
0.5442
15
-41.99
22.16 KeV
1.2924
10
-68.76
It is clearly seen that the mass attenuation coefficient depends
on the photon energy and on the chemical composition of the
composite materials. The μ/ρ values decrease with increasing
photon energies as shown in the fig 2. The total uncertainty
of measured mass attenuation coefficient depends on the
uncertainties in the evaluation of peak area, mass thickness
measurement and counting statistics. The agreement between
the experimental and theory is within the experimental
uncertainty. Photoelectric cross section is the predominant
process in the low energy region, coherent and Compton
scattering are very small. The total cross section is considered
as the function of energy, incoherent scattering process is
predominant to a greater extent and coherent scattering
remains the same for increasing energy. There is a linear
alignment in the value of μ/ρ for Diclomol and Diclogesic
with respect to the theoretical results, while the remaining
two are not, this is because of the manufacturers hidden
additive material added in their drug samples was not
displayed on the packet. The errors involved in the
experimental data are within 2% in each sample. Dynapar
and Voveran plus were showing an increasing μ/ρ values
rather the decreasing at 22.16 KeV and 32.2 KeV
respectively.
The developed X-ray spectrometric method was found to be
simple, inexpensive, non destructive and helpful for precise
accurate relative intensity measurements of the drug samples.
The results of the validated screens were found to be
satisfactory and therefore successfully, in this regard the
work is under progress to analyze or for predicting the quality
of the composite materials in the drug (pharmaceutical)
samples and also this method can be applied for the routine
quality assessment of other pharma compounds.
Acknowledgement
The authors express their immense gratitude to the
University Grants Commission (UGC), New Delhi for
providing the financial assistance to carry out the work.
References
1.
Y. K. Agrawal and K. Shivramchandra, J. Pharm.& Biomed.
Ana. 9(2), pp. 97-100 (1991).
2.
B. V. Kamath and K. Shivram, Analy Letters. 26(5), pp.
903-911 (1993). M. Rettschlag, R. Berndt and P.
Mortreau, Nucl. Instrum. Methods A, 581, pp. 765-771
(2007).
3.
Sharanabasappa, S. B. Kaginelli, B. R. Kerur, S.
Anilkumar and B. Hanumaiah, J. X-Ray Sci. Technol. 17,
pp.75 - 84(2009).
4.
K. Parthasaradhi, A. Esposito and M. Pelliccioni, Int. J.
Appl. Radiat. Isot. 43, pp. 1481-1484 (1992).
5.
D. F. Jackson and D. J. Hawkes, Phys. Report 70, pp.
169-233 (1981).
6.
A. H. El-Kateb, Rizk Ram, and A. M. Abdul-Kader, Ann.
Nucl. Energy, 27, pp. 1333-1343(2000).
7.
L. Demir and I. Han, Ann. Nucl. Energy, 36, pp. 869-873
(2009).
8.
I. Akkurt, H. Akyıldırım, B. Mavi, S. Kilincarslan and C.
Basyigit, Ann. Nucl. Energy, 37, 910-914 (2010).
Proceedings NSRP‐19, Dec. 12‐14, 2012
Mamallapuram, Tamil Nadu, India
9.
Goodman and Gilman, The pharmacological basis of
therapeutics, Eighth ed, Macmillan Publishing Company,
Singapore, I, pp. 656-657 (1992).
10. L. C. Bailey and Remington, The Science and Practice of
Pharmacy, Nineteenth edition, Mack Publishing
Company, Pennsylvania, Volume- II, 1995, 1208.
38
11. British Pharmacopocia HMSO London, II, pp. 582-583
(2003).
12. L. C. Bailey and Remington, The Science and Practice of
Pharmacy, Nineteenth edition, Mack Publishing
Company, Pennsylvania, II, pp. 1211 (1995).