1. Introduction
Nuclear radiation has various useful applications in different fields such as industries, agriculture, food irradiation, defects detection in metal casting, nuclear reactors, medical diagnostic, imaging and therapy, nuclear power plants, aerospace, and radiation chemistry of polymers [
1]. Nevertheless, exposure to ionizing radiation can result in radiation sickness, organ damage, cell mutation, cancer, component failure, and other negative effects, depending on the amount of radiation absorbed. Therefore, it is essential to use shielding to protect individuals from these harmful effects.
Radiation shielding is essential for protecting people and equipment from the harmful effects of ionizing radiation. Ionizing radiation can cause damage to living tissue and DNA, leading to an increased risk of cancer, radiation sickness, and other health problems. It can also damage electronic equipment and sensitive instruments, causing malfunctions or complete failure [
2]. Radiation shielding works by absorbing or scattering the radiation, reducing its intensity and protecting the people and equipment behind the shield. Shielding materials can vary depending on the type and energy of the radiation being shielded. For example, bismuth and lead are commonly used for shielding against gamma and X-rays [
3], while concrete or water can be used for shielding against neutron radiation [
4,
5]. Glass composites doped with heavy elements or mixed with cement are also used for gamma and neutron shielding [
6,
7,
8,
9].
Radiation shielding is critical in a variety of settings, including medical facilities, nuclear power plants, and research laboratories. Without adequate shielding, workers and the general public could be exposed to dangerous levels of radiation, leading to serious health consequences. Therefore, proper radiation-shielding design and implementation are crucial to ensure the safety of workers, the public, and the environment.
Polymers and rubber-based composites can also be used for radiation shielding. These composites are typically made by combining rubber with other materials, such as lead or tungsten, to create a material that can effectively block both beta and gamma radiation [
10,
11,
12]. Polymers are an ideal option for radiation shielding because of their lightweight, strong, and flexible properties, as well as their resistance to physical, mechanical, and radiation damage. They are a superior alternative to concrete and lead for radiation shielding. Furthermore, by adding high atomic number materials, polymers can be easily transformed into composites that are more effective as radiation shields [
13,
14,
15].
Silicone rubber doped with high-atomic-number materials such as lead, cadmium, and tungsten can be used in various applications such as medical imaging, nuclear power plants, and aerospace [
16,
17,
18]. The effectiveness of the shielding material depends on the composition and thickness of the material, as well as the energy of the radiation being shielded. It is important to note that while silicone rubber doped with lead or tungsten can be effective for radiation shielding, it may not be the best choice for all applications. Factors such as weight, flexibility, and durability may also need to be considered. Ethylene propylene diene monomer (EPDM) rubber composites have the potential to serve as flexible, durable, and lead-free gamma-ray-shielding materials when metal oxides such as iron (II, III) oxide (Fe
3O
4), tungsten (III) oxide (W
2O
3), or bismuth (III) oxide (Bi
2O
3) are added to them [
19]. Due to its high boron content, EPDM/Hexagonal boron nitride (hBN) samples are able to attenuate thermal neutron radiation up to 61.5% [
20].
Recently, silica fillers have been introduced as a reinforcing filler for rubbers from economic factors as well as their ability to give major benefits, such as low thermal expansion, chemical resistance, hard surface, and high dielectric strength [
21]. exposure to gamma radiation can lead to the creation of point defects in SiO
2, such as oxygen vacancies or oxygen interstitials. These defects can induce structural changes in the material, altering its density, crystallinity, and morphology. Such changes can affect the shielding parameters of the NR/NBR blend. However, it is crucial to consider that the precise nature of this impact is contingent upon several factors, such as the concentrations of SiO
2 and the shielding filler material such as Bi
2O
3, the radiation dosage, and the specific characteristics of the resulting point defects [
22].
Nitrile rubber (NBR) is a synthetic elastomer that is commonly used in automotive applications due to its good resistance to oil and low gas permeability, but its limited ageing resistance may require careful consideration in certain situations [
22]. Its good radiation resistance also makes it useful in certain specialized applications [
23].
The objective of the present study is to create a novel composite material for shielding purposes using a blend of NBR and NR as the matrix. Bismuth oxide will be added to this blend as a filler, and its effect on the mechanical and shielding properties of the composite will be examined. The optimal concentration of bismuth in the blend will also be determined. The new composite material is expected to possess unique physical, mechanical, and attenuation characteristics, as well as being lightweight, affordable, and having reasonable radiation resistance. As a result, it has the potential to be utilized in the production of radiation protection equipment for use by medical, industrial, and military personnel.
3. Theoretical Background
The modified Lambert–Beer Law was employed to compute the linear attenuation coefficients in the following manner [
26]:
where the initial photon intensity (I
0) and the transmitted photon intensity (I) are related to the linear attenuation coefficient (μ) in units of cm
−1, while the buildup factor (B) is dependent on the thickness (x) of the material used and the energy (E) of the incident photon. To calculate the mass attenuation coefficient (μ
m), one can use the linear attenuation coefficient and the mass density (ρ) values with the following equation [
27]:
In the case of a compound or mixture, the following formula can be used to determine μ
m [
28]:
where (μ
m)
i is the mass attenuation coefficient of the examined mixture’s ith element and w
i stands for its weight percentage. The half-value layer (HVL) and the mean free path (MFP) of the prepared composites can be calculated by using the following formulas, respectively [
29,
30,
31]:
In order to determine the mass attenuation coefficients of the prepared samples across a wide range of energies from 0.015 to 15 MeV, the National Institute of Standard and Technology (NIST) developed a photon cross-sections database named XCOM, which includes the attenuation coefficients of all elements in the periodic table at different energies [
32].
The ratio of an object’s electronic cross-section (σ
a) to its effective atomic cross-section (σ
e) is used to define the effective atomic number of a material (Z
eff). The obtained data for the mass attenuation coefficient (μ
m) of the produced prepared samples can be utilized with the following formula to estimate the values of Z
eff [
33]:
where A
i is the atomic weight, Z
i is the atomic number, (µ
m)
i is the mass attenuation coefficient for the ith element, and f
i represents ith element fractional abundance concerning the number of atoms.
In order to determine the buildup factor, we need to obtain the Compton partial attenuation coefficient ((μ
m)
comp) and the total attenuation coefficient ((μ
m)
total) values for the constituent elements and compounds present in the prepared samples being analyzed within the energy range of 0.015–15.0 MeV. Using these values, we can then calculate the equivalent atomic number (Z
eq) for the produced prepared samples by comparing the ratio (μ
m)
comp/(μ
m)
total at a specific energy with comparable ratios of elements at the same energy. The interpolation of the equivalent atomic number was determined through a logarithmic interpolation algorithm [
34], where the ratio (μ
m)
comp/(μ
m)
total falls between two consecutive ratios of elements.
The values of Z
1 and Z
2 are the atomic numbers of the pure elements that correspond to the ratios R
1 and R
2, respectively. R is the ratio for the prepared samples being studied at certain energy [
35]. The exposure buildup factor EBF for the prepared samples was calculated using the general progressive (G-P) interpolation in the energy range of 0.015–15 MeV up to 40 mfp, with the help of the equations provided in Harima et al. (1993) [
36,
37,
38]:
These formulas involve several variables such as photon energy (E), separation (X) between detector and source, exposure buildup factor (EBF) value at 1 mean free path (MFP) denoted by B, dosage multiplicative factor (K), and several fitting parameters (b, c, a, X
K, and d) that are dependent on the attenuating medium and source energy. The fitting parameters for the prepared samples, namely b, c, a, X
K, and d, can be estimated for the energy range of gamma rays from 0.015 MeV to 15 MeV, up to a distance of 40 MFP, using logarithmic interpolation with the help of the following equation-like method [
39,
40].
The values of the G-P fitting parameters at specific energy for atomic numbers Z
1 and Z
2 are denoted by P
1 and P
2, respectively. The criteria for the G-P fit for the elements, as established by the American Nuclear Society study, were applied [
41].