Performance prediction of AlGaAs/GaAs betavoltaic cells irradiated by nickel-63 radioisotope
Introduction
In the recent years, a tremendous development of the information technology has significantly increased the interest for long-life power batteries in improving the human lifestyle. In particular, after numerous theoretical and experimental investigations, significance of the potential of radioisotope batteries has been highlighted for their use in highly sensitive applications, for instance in implantable prosthetic devices, deep-sea explorations, automatic weather stations, space flights, and in all situations where it is inconvenient or impossible to replace batteries.
Radioisotope batteries consist of semiconductor-based devices that uses energy from the decay of a radioactive isotope to generate electricity according to the working principle of photovoltaic cells. The selection criteria for radioactive and absorbing semiconductor materials for radioisotope batteries depend on several factors, specifically half-life of radioisotope limited to the task duration, type of decay, and energy content. Simultaneously, the semiconductor being used must be efficient and resistant to radiation. In particular, beta-particles exhibit few advantages over the alpha-particles such as high penetration ability and less radiation damage. Owing to these characteristics of beta-particles, most of the researchers focused their efforts to develop betavoltaic cells. The idea to develop radioisotope batteries was first suggested by Mosely in 1913 [1], and since 1950s the advances in betavoltaic batteries have seen a rapid progress and significantly drawn the focus of researchers to investigate materials like gallium arsenide (GaAs) [[2], [3], [4], [5], [6], [7]], aluminium gallium arsenide (AlGaAs) [[8], [9], [10]], silicon carbide (SiC) [[11], [12], [13], [14], [15], [16], [17]], gallium nitride (GaN) [[18], [19], [20], [21], [22], [23]], and indium gallium phosphide (InGaP) [24,25]. However, until now, a very limited number of materials have been used to produce nuclear batteries. In fact, different technological issues, such as radioisotopes, converters, shielding, costs, and restrictions on trade and transportation need to be still addressed, and therefore this field remains fertile for researchers.
The design of a betavoltaic cell needs careful selection of radioactive source so that the maximum kinetic energy of β-particles should not exceed the semiconductor radiation damage threshold [26]. Most recently, the interest to investigate GaAs and its related compound has been increased constantly [[2], [3], [4], [5], [6], [7], [8], [9], [10]]. The performance of several GaAs-based betavoltaic cells presented in literature is summarized in Table 1. The advantages of AlxGa1-xAs over other compounds are its good lattice and bandgap matching, radiation damage resistance, and high theoretical conversion efficiency.
Note that the theoretical efficiency limit values for the Al0.1Ga0.9As and GaAs-based structures are 32.02% and 31.66%, respectively. These results were obtained using the following expression describing the conversion efficiency of a semi-infinite semiconductor material [[27], [28], [29], [30]]:where Eg is the band gap energy.
It is clear, therefore, that the driving potential efficiency of these technologies is practically in its infancy and far from the theoretical limits. In this context, future developments and improvements need great efforts in modelling activities (analytical and numerical analysis) that contribute significantly towards cost-effective experimental tests related to hazardous and expensive materials.
The present article studies the optimized use of AlxGa1-xAs/GaAs n/p heterostructures for radioisotope batteries regarding understanding of physical and geometrical device parameters that can affect the cell performance. Moreover, based on the comprehensive analytical model presented in the following, we have compiled a simulation software that investigates the role of various design parameters to determine the performance of an Al0.1Ga0.9As/GaAs betavoltaic cell irradiated by Ni63 beta-particles. These parameters are the doping concentration in the n and p regions, the junction depth, the surface recombination velocity, and the radioactivity density of Ni63. The simulation of the current density-voltage J(V) and power density-voltage P(V) characteristics would help to extract the key figures of merit (FOMs) of the cell, i.e. conversion efficiency (ɳ), maximum output power density (Pmax), open-circuit voltage (Voc), and short-circuit current density (Jsc) as a function of fundamental physical parameters. AlxGa1-xAs/GaAs heterostructures with x ranging from 0.1 to 0.35 have been recently fabricated by the Ioffe Russian Institute and evaluated under a flow of beta-particles emitted by the radioactive isotope H3 [[8], [9], [10]].
This work is supported by authors’ preliminary investigations focused on the exploitation of radiation resistant materials with good reliability [[31], [32], [33], [34], [35], [36], [37]].
Section snippets
Device structure
The schematic cross section (plot not to scale) of the Al0.1Ga0.9As/GaAs betavoltaic cell is shown in Fig. 1.
Here, the n/p heterostructure is coupled with a beta-emitting Ni63 radioisotope source with an active area of 1 cm2. In Fig. 1, y1 is the distance between the Al0.1Ga0.9As surface and the starting point of the depleted region, y2 is the thickness of the Al0.1Ga0.9As layer, y3 is the edge of the depleted region within the GaAs layer, and y4 is the overall cell thickness (~4.2 μm).
Betavoltaic cell electrical circuit
The simulation model employed to describe the operation of the proposed betavoltaic cell presents a single diode with an ideality factor n = 1.7 and a series parasitic resistance Rs = 1.5 Ω. In addition, a shunt resistance contribution Rsh = 52 MΩ was fixed according to the following rough criterion [39]:
The equivalent electrical circuit is shown in Fig. 2.
A betavoltaic cell under irradiation behaves as a solar cell. In fact, when we connect a load resistor RL between the cell
Influence of the doping concentration
The physical and geometrical parameters as listed in Table 3 are taken as reference values to calculate the optimal doping concentrations, Nd and Na, in determining the main FOMs of the cell from different J(V) and P(V) characteristics. During the simulations, the radioactivity density and the beta-particle average energy are 1 mCi/cm2 and 17.1 keV, respectively.
For the sake of simplicity, the penetration depths of beta-particles in Table 3 were estimated by using the following rule of thumb
Conclusion
This study presents a compact analytical model to investigate the electrical characteristics of an Al0.1Ga0.9As/GaAs betavoltaic heterostructure irradiated by a Ni63 radioisotope source. The inevitable ohmic losses in the device modelling have been taken into account. The simulation results show that by adopting a radioactive density of 1 mCi/cm2, a relatively low doping concentration and a low surface recombination velocity in the Al0.1Ga0.9As-emitter (Nd = 2 × 1011 cm−3, Sp = 1 × 103 cm/s),
Credit author statement
Dr Fayçal Bouzid: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Supervision, Visualization, Writing - original draft, Writing - review \& editing. Dr Said Dehimi: Visualization. Dr Moufdi Hadjab: Visualization. Pr Mohammad Alam Saeed: Validation, Writing - review \& editing. Pr Fortunato Pezzimenti: Validation, Writing - review \& editing. Funding acquisition: Algerian Research Center in Industrial Technologies CRTI. Project administration: Algerian Research
Declaration of competing interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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