Methods and systems for determining the size, density, and morphology of irradiation bubbles produced by metal fuels under irradiation conditions, and computer storage media

Abstract

Embodiments of the present application relate to the technical field of computer materials science, in particular to a method and system for determining the size, density and morphology of irradiation bubbles generated by metal fuel under irradiation conditions, and a computer storage medium. The method comprises: determining the interface energy of U-Zr and U-Pu-Zr alloy in the metal fuel; setting the minimum radius of xenon bubble nucleation of the metal fuel under irradiation conditions; determining the radius of the xenon bubble changing with time according to the minimum radius of the xenon bubble nucleation; determining the Gibbs free energy density of the xenon bubble according to the radius of the xenon bubble and the interface energy; determining the order parameter of the xenon bubble according to the Gibbs free energy density of the xenon bubble; and determining the size, density and morphology of the irradiation bubble according to the order parameter. The method is conducive to making the determined Gibbs free energy density of the xenon bubble more in line with the actual situation by considering the radius of the xenon bubble changing with time, thereby realizing accurate prediction of the size, density and morphology of the irradiation bubble.

Description

Technical Field

[0001] Embodiments of this application relate to the field of computer materials science and technology, specifically to a method and system for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, as well as a computer storage medium. Background Technology

[0002] The statements herein are provided merely as background information in connection with this application and do not necessarily constitute prior art.

[0003] The U-Zr and U-Pu-Zr alloys used in reactors have high heavy metal density and good thermal conductivity, and are compatible with liquid sodium. However, because they operate in the strong neutron irradiation environment of the reactor, the fission products (such as Xe and Kr) generated under irradiation will accumulate in the metal fuel matrix to form irradiation bubbles, causing the metal fuel to swell, decrease its thermal conductivity, or even crack, seriously threatening the integrity of the fuel elements and affecting the safe operation of the reactor.

[0004] Therefore, there is an urgent need for a method that can predict the size, density, and morphology of irradiated bubbles generated by metallic fuels under irradiation conditions, so as to provide a reference for accurately evaluating the comprehensive performance of metallic fuels and predicting the service life of fuel elements. Summary of the Invention

[0005] A brief overview of this application is provided below to offer a basic understanding of certain aspects thereof. It should be understood that this overview is not an exhaustive summary of the application. It is not intended to identify key or essential parts of the application, nor is it intended to limit its scope. Its purpose is merely to present certain concepts in a simplified form as a prelude to the more detailed description that follows.

[0006] In a first aspect, embodiments of this application provide a method for determining the size, density, and morphology of irradiated bubbles generated by a metallic fuel under irradiation conditions, comprising the following steps: S10: determining the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel; S20: setting the minimum radius for xenon bubble nucleation under irradiation conditions; S30: determining the radius of the xenon bubble as a function of time based on the minimum radius for xenon bubble nucleation determined in step S20; S40: determining the Gibbs free energy density of the xenon bubble based on the radius of the xenon bubble determined in step S30 and the interfacial energy determined in step S10; S50: determining the xenon bubble order parameter based on the xenon bubble order parameter; S60: determining the size, density, and morphology of the irradiated bubble based on the xenon bubble order parameter.

[0007] The method provided in this application for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, by considering the time-varying radius of xenon bubbles and combining it with the interfacial energy of U-Zr and U-Pu-Zr alloys in the metallic fuel, comprehensively describes the nucleation and growth evolution process of xenon bubbles produced by irradiation of metallic fuel. This facilitates a more realistic determination of the Gibbs free energy density of xenon bubbles, thereby enabling accurate prediction of the size, density, and morphology of irradiated bubbles. The predicted size, density, and morphology of irradiated bubbles better reflect the actual service conditions of metallic fuel in the reactor, thus facilitating accurate evaluation of the comprehensive performance of metallic fuel and providing a reliable reference for accurately predicting the service life of fuel elements.

[0008] Secondly, embodiments of this application provide a system for determining the size, density, and morphology of irradiated bubbles generated by a metallic fuel under irradiation conditions. The system includes: a data acquisition module configured to determine the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel; a data preset module configured to set the minimum radius for xenon bubble nucleation under irradiation conditions; a data expansion module configured to determine the radius of the xenon bubble changing over time based on the minimum radius for xenon bubble nucleation set by the data preset module; and a determination module configured to determine the Gibbs free energy density of the xenon bubble based on the xenon bubble radius determined by the data expansion module and the interfacial energy determined by the data acquisition module; determine the xenon bubble order parameter based on the xenon bubble Gibbs free energy density; and determine the size, density, and morphology of the irradiated bubble based on the xenon bubble order parameter.

[0009] Thirdly, embodiments of this application provide a computer storage medium having a computer program stored thereon, the computer program being executed by a processor to implement the method provided in any embodiment of the first aspect of this application. Attached Figure Description

[0010] Other objects and advantages of this application will become apparent from the following description of embodiments of this application with reference to the accompanying drawings, and will help to provide a comprehensive understanding of this application.

[0011] Figure 1 This is a schematic diagram of the morphology of irradiated bubbles generated by metallic fuel under irradiation conditions according to an embodiment of this application; Figure 2 This is a comparison diagram of the size distribution of irradiated bubbles generated by metallic fuel under irradiation conditions according to an embodiment of this application and the size distribution of irradiated bubbles generated by metallic fuel determined experimentally. Figure 3This is a schematic diagram showing the change of the average size of irradiated bubbles generated by metallic fuel under irradiation conditions over time, according to an embodiment of this application. Figure 4 This is a schematic diagram illustrating the change in density over time of irradiated bubbles generated by metallic fuel under irradiation conditions, according to an embodiment of this application.

[0012] It should be noted that the accompanying drawings are not necessarily drawn to scale, but are shown only in a schematic manner without affecting the reader's understanding. Detailed Implementation

[0013] Exemplary embodiments of this application will be described below with reference to the accompanying drawings. For clarity and brevity, not all features of actual implementations are described in the specification. However, it should be understood that many implementation-specific decisions must be made in the development of any such actual embodiment to achieve the developer's specific goals, such as complying with constraints related to the system and business, and these constraints may vary depending on the implementation. Furthermore, it should be understood that while development work can be very complex and time-consuming, such development work is merely a routine task for those skilled in the art who benefit from the content of this application.

[0014] It should also be noted that, in order to avoid obscuring this application with unnecessary details, only the equipment structure and / or processing steps closely related to the solution according to this application are shown in the accompanying drawings, while other details that are not closely related to this application are omitted.

[0015] The inventors of this application have discovered that in the prior art, local observation can be achieved through experimental means (such as TEM, SEM, XRD), but it is difficult to know the microstructure evolution of metal fuel over a continuous time range by relying solely on local observation. Currently, the phase-field method is mainly used for the simulation and prediction of the microstructure evolution of materials, but this method has certain limitations. Its description of the nucleation and growth evolution of xenon bubbles, the irradiation products of metal fuel, is incomplete, making it difficult to reproduce the actual service situation of metal fuel in the reactor. The prediction accuracy of the size, density, and morphology of irradiated bubbles generated by metal fuel under irradiation conditions is also low.

[0016] Based on this, embodiments of this application provide a method for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, comprising the following steps: S10: Determine the interfacial energy of U-Zr and U-Pu-Zr alloys in metallic fuels.

[0017] S20: Sets the minimum radius for xenon bubble nucleation of metallic fuel under irradiation conditions.

[0018] S30: Determine the radius of the xenon bubble as it changes over time, based on the minimum radius of the xenon bubble nucleation determined in step S20.

[0019] S40: Determine the Gibbs free energy density of the xenon bubble based on the radius of the xenon bubble determined in step S30 and the interface energy determined in step S10.

[0020] S50: Determine the xenon bubble sequence parameters based on the Gibbs free energy density of the xenon bubble.

[0021] S60: Determine the size, density, and morphology of the irradiated bubbles based on the xenon bubble sequence parameters.

[0022] The method provided in this application for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, by considering the time-varying radius of xenon bubbles and combining it with the interfacial energy of U-Zr and U-Pu-Zr alloys in the metallic fuel, comprehensively describes the nucleation and growth evolution process of xenon bubbles produced by irradiation of metallic fuel. This facilitates a more realistic determination of the Gibbs free energy density of xenon bubbles, thereby enabling accurate prediction of the size, density, and morphology of irradiated bubbles. The predicted size, density, and morphology of irradiated bubbles better reflect the actual service conditions of metallic fuel in the reactor, thus facilitating accurate evaluation of the comprehensive performance of metallic fuel and providing a reliable reference for accurately predicting the service life of fuel elements.

[0023] In some embodiments, in step S10, the relevant physical property parameters of U-Zr and U-Pu-Zr alloys in the metallic fuel can be determined by atomic-scale simulation methods, and the interfacial energy of U-Zr and U-Pu-Zr alloys in the metallic fuel can be determined based on the determined relevant physical property parameters.

[0024] In some embodiments, in step S20, the minimum radius of xenon bubble nucleation of metallic fuel under irradiation conditions can be set based on irradiation condition data.

[0025] In some embodiments, in step S30, the radius of the xenon bubble as a function of time can be determined using the bubble evolution phase field model in the U-Zr and U-Pu-Zr alloys, based on the minimum radius of the xenon bubble nucleation determined in step S20.

[0026] In some embodiments, step S30 may further include the following step: determining U-Zr and U-Pu-Zr alloys using first-principles and molecular dynamics methods. Mutually, phase and Atomic-scale physical parameters related to bubble evolution in the phase are used to form a parameter set classified according to phase regions. Based on this parameter set, bubble evolution phase-field models in U-Zr and U-Pu-Zr alloys are determined. This ensures that the determined bubble evolution phase-field model can accurately reflect the physical influence of multiphase coexisting metallic fuels on the nucleation and growth behavior of xenon bubbles. This makes the time-varying xenon bubble radius determined based on the bubble evolution phase-field model more consistent with reality, thereby improving the accuracy of the Gibbs free energy density of xenon bubbles determined accordingly.

[0027] In some embodiments, step S40 may further include the following steps: S41: Determine the atomic equilibrium concentration of xenon gas based on the radius of the xenon bubble determined in step S30 and the interfacial energy determined in step S10.

[0028] S42: Determine the Gibbs free energy density of the xenon bubble based on the atomic equilibrium concentration of xenon gas.

[0029] In related technologies, the atomic equilibrium concentration of xenon gas is a constant, while the atomic equilibrium concentration of xenon gas in a bubble is related to the radius of the xenon bubble. Based on this, in this embodiment, the atomic equilibrium concentration of xenon gas is determined by the radius of the xenon bubble that changes over time, so as to dynamically correct the atomic equilibrium concentration of xenon gas in each bubble using the radius of the xenon bubble that changes over time, making the atomic equilibrium concentration of xenon gas more in line with the actual situation. Furthermore, the atomic equilibrium concentration of xenon gas corrected by the radius of the xenon bubble is introduced into the Gibbs free energy density of the xenon bubble to improve the degree of conformity between the Gibbs free energy density of the xenon bubble and the actual situation.

[0030] In some embodiments, step S41 may further include the following steps: S411: Determine the volume of uranium vacancies.

[0031] S412: Determine the temperature of the metallic fuel.

[0032] S413: Determine the atomic equilibrium concentration of xenon gas based on the volume determined in step S411, the temperature determined in step S412, the radius of the xenon bubble determined in step S30, and the interfacial energy determined in step S10.

[0033] Since multiple phases are formed during the irradiation of metal fuel, each phase corresponds to different volumes and temperatures of uranium atom vacancies, this embodiment improves the accuracy of xenon gas atomic equilibrium concentration by determining the volume of uranium atom vacancies and the temperature of metal fuel for a specific phase, ensuring that the xenon gas atomic equilibrium concentration is more consistent with the actual situation.

[0034] In some embodiments, the volume determined in step S411, the temperature determined in step S412, the radius of the xenon bubble determined in step S30, the interfacial energy determined in step S10, and the atomic equilibrium concentration of xenon gas conform to the following relationship: .

[0035] in, Indicates the atomic equilibrium concentration of xenon gas. The volume of the uranium vacancy is represented by r, and the radius of the xenon bubble is represented by r. This represents the Boltzmann constant, and T represents the temperature of the metallic fuel. denoted by , where b represents the interfacial energy of U-Zr and U-Pu-Zr alloys in metallic fuels.

[0036] In this embodiment, the relationship between the volume of uranium vacancies, the temperature of metallic fuel, the radius of xenon bubbles, the interfacial energy of U-Zr and U-Pu-Zr alloys, and the equilibrium concentration of xenon gas atoms is established to improve the accuracy of the equilibrium concentration of xenon gas atoms. This, in turn, helps to further improve the consistency between the Gibbs free energy density of xenon bubbles and the actual situation.

[0037] In some embodiments, when determining the Gibbs free energy density of the xenon bubble based on the xenon gas atomic equilibrium concentration in step S42, the xenon gas atomic equilibrium concentration and the xenon bubble Gibbs free energy density conform to the following relationship: .

[0038] in, This represents the Gibbs free energy density of a xenon bubble. Indicates a uranium atom vacancy. This indicates the concentration of uranium atom vacancies in the xenon bubble. Indicates the atomic concentration of xenon gas. Indicates the atomic equilibrium concentration of xenon gas. and This represents a constant that can be determined by someone skilled in the art.

[0039] In this embodiment, by establishing the relationship between the atomic equilibrium concentration of xenon gas and the Gibbs free energy density of xenon bubbles, the Gibbs free energy density of xenon bubbles can be accurately determined under the condition of knowing the atomic equilibrium concentration of xenon gas. This further improves the degree of conformity between the Gibbs free energy density of xenon bubbles and the actual situation, thereby helping to improve the prediction accuracy of the size, density and morphology of irradiated bubbles.

[0040] In some embodiments, step S411 may further include the following steps: S4111: determining the lattice constant of uranium atoms in different phase regions; S4112: determining the morphology of uranium atoms in different phase regions; S4113: determining the volume of uranium vacancies based on the lattice constant and morphology.

[0041] In this embodiment, the lattice constants and morphologies of uranium atoms in different phase regions are determined to take into account the characteristics of different phase regions, making the determined volume of uranium vacancies more accurate. This allows for a more accurate reflection of the influence of different phase regions on the formation behavior of xenon bubbles, thereby helping to further ensure that the xenon gas atom equilibrium concentration determined based on the volume of uranium vacancies matches the actual situation.

[0042] In step S411, the lattice constants and morphologies of uranium atoms in different phase regions are determined by those skilled in the art. The different phase regions of U-Zr and U-Pu-Zr alloys include... Mutually, phase and Mutually.

[0043] In some embodiments, step S412 may further include the following steps: S4121: determining the temperature of the metal fuel in different phase regions; S4122: determining the temperature of the metal fuel based on the temperature of the metal fuel in different phase regions.

[0044] In this embodiment, by considering the characteristics of different phase regions and integrating the temperatures of metal fuels in different phase regions, the determined temperature of the metal fuel is more accurate, which helps to further ensure that the xenon gas atomic equilibrium concentration determined based on the volume of uranium vacancies matches the actual situation.

[0045] In some embodiments, in step S50, the xenon bubble sequence parameters can be determined based on the Gibbs free energy density of xenon bubbles using the bubble evolution phase field model in U-Zr and U-Pu-Zr alloys.

[0046] In step S60, since the xenon bubble sequence parameter can characterize the size, density, and morphology of xenon bubbles, and xenon bubbles are the irradiation products of metallic fuel, the size, density, and morphology of the irradiated bubbles are determined based on the xenon bubble sequence parameter.

[0047] Please see Figure 1 and Figure 2 , Figure 1 This diagram illustrates the morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, according to an embodiment of this application. Figure 2 This diagram shows a comparison between the size distribution of irradiated bubbles generated by metallic fuel under irradiation conditions according to an embodiment of this application and the size distribution of irradiated bubbles generated by metallic fuel determined experimentally. Figure 1The morphology of the irradiated bubbles determined using the method provided in the embodiments of this application. Figure 2 The predicted bubble size distribution is the distribution result of the irradiated bubble size determined by the method provided in the embodiments of this application, and the experimental bubble size distribution is the experimental result of the distribution of the irradiated bubble size obtained by conducting experiments on metal fuel under irradiation conditions. By comparison, it can be seen that the distribution of the irradiated bubble size determined by the method provided in the embodiments of this application is basically consistent with the experimental results, which effectively verifies the reliability of the method provided in this application.

[0048] Please see Figure 3 and Figure 4 , Figure 3 This diagram illustrates the variation of the average size of irradiated bubbles generated by metallic fuel under irradiation conditions over time, according to an embodiment of this application. Figure 4 This diagram illustrates the density of irradiated bubbles generated by metallic fuel under irradiation conditions as a function of time, according to an embodiment of this application. Figure 3 and Figure 4 It is known that, when the method provided in the embodiments of this application is used to determine the size, density, and morphology of irradiated bubbles for up to 200 days, the average bubble size can reach 3.8 micrometers, and the bubble density is approximately 6× / The determined results are close to the data obtained from experimental measurements, further verifying the reliability of the method provided in this application.

[0049] Embodiments of this application also provide a system for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions. The system includes: a data acquisition module, a data preset module, a data expansion module, and a determination module. The data acquisition module is configured to determine the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel. The data preset module is configured to set the minimum radius for xenon bubble nucleation under irradiation conditions. The data expansion module is configured to determine the radius of the xenon bubble as a function of time based on the minimum radius for xenon bubble nucleation set by the data preset module. The determination module is configured to determine the Gibbs free energy density of the xenon bubble based on the xenon bubble radius determined by the data expansion module and the interfacial energy determined by the data acquisition module; determine the xenon bubble order parameter based on the xenon bubble Gibbs free energy density; and determine the size, density, and morphology of the irradiated bubble based on the xenon bubble order parameter.

[0050] The system provided in this application for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, by considering the time-varying radius of xenon bubbles determined by the data expansion module and combining it with the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel determined by the data acquisition module, comprehensively describes the nucleation and growth evolution process of xenon bubbles, the irradiation products of metallic fuel. This facilitates a more accurate prediction of the Gibbs free energy density of xenon bubbles determined by the determination module, thereby enabling precise prediction of the size, density, and morphology of irradiated bubbles. The predicted size, density, and morphology of irradiated bubbles better reflect the actual service conditions of metallic fuel in the reactor, thus facilitating accurate evaluation of the comprehensive performance of metallic fuel and providing a reliable reference for accurately predicting the service life of fuel elements.

[0051] In some embodiments, the determining module may be configured to determine the atomic equilibrium concentration of xenon gas based on the radius of the xenon bubble determined by the data expansion module and the interface energy determined by the data acquisition module when determining the Gibbs free energy density of the xenon bubble; and to determine the Gibbs free energy density of the xenon bubble based on the atomic equilibrium concentration of xenon gas.

[0052] In related technologies, the atomic equilibrium concentration of xenon gas is a constant, while the atomic equilibrium concentration of xenon gas in a bubble is related to the radius of the xenon bubble. Based on this, in this embodiment, the atomic equilibrium concentration of xenon gas is determined according to the radius of the xenon bubble that changes over time, as determined by the data expansion module. This allows for the dynamic correction of the atomic equilibrium concentration of xenon gas in each bubble using the radius of the xenon bubble that changes over time, making the atomic equilibrium concentration of xenon gas more consistent with the actual situation. Furthermore, the atomic equilibrium concentration of xenon gas corrected by the radius of the xenon bubble is introduced into the Gibbs free energy density of the xenon bubble to improve the consistency between the Gibbs free energy density of the xenon bubble and the actual situation.

[0053] In some embodiments, the determining module may also be configured to determine the volume of uranium vacancies and the temperature of the metallic fuel when determining the atomic equilibrium concentration of xenon gas; and to determine the atomic equilibrium concentration of xenon gas based on the volume of uranium vacancies, the temperature of the metallic fuel, the radius of the xenon bubble determined by the data expansion module, and the interface energy determined by the data acquisition module.

[0054] In some embodiments, the volume of uranium vacancies, the temperature of the metallic fuel, the radius of the xenon bubble determined by the data expansion module, the interface energy determined by the data acquisition module, and the atomic equilibrium concentration of xenon gas determined by the determination module conform to the following relationship: .

[0055] in, Indicates the atomic equilibrium concentration of xenon gas. The volume of the uranium vacancy is represented by r, and the radius of the xenon bubble is represented by r. This represents the Boltzmann constant, and T represents the temperature of the metallic fuel. denoted by , where b represents the interfacial energy of U-Zr and U-Pu-Zr alloys in metallic fuels.

[0056] In this embodiment, the relationship between the volume of uranium vacancies, the temperature of metallic fuel, the radius of xenon bubbles, the interfacial energy of U-Zr and U-Pu-Zr alloys, and the equilibrium concentration of xenon gas atoms is established to improve the accuracy of the equilibrium concentration of xenon gas atoms. This, in turn, helps to further improve the consistency between the Gibbs free energy density of xenon bubbles and the actual situation.

[0057] In some embodiments, the determining module may also be configured to determine the lattice constants of uranium atoms in different phase regions and the morphology of uranium atoms in different phase regions when determining the volume of uranium vacancies; and to determine the volume of uranium vacancies based on the lattice constants and morphologies.

[0058] In this embodiment, the lattice constants and morphologies of uranium atoms in different phase regions are determined to take into account the characteristics of different phase regions, making the determined volume of uranium vacancies more accurate. This allows for a more accurate reflection of the influence of different phase regions on the formation behavior of xenon bubbles, thereby helping to further ensure that the xenon gas atom equilibrium concentration determined based on the volume of uranium vacancies matches the actual situation.

[0059] In some embodiments, the determining module may also be configured to determine the temperature of the metal fuel in different phase regions when determining the temperature of the metal fuel; and to determine the temperature of the metal fuel based on the temperature of the metal fuel in different phase regions.

[0060] In this embodiment, by considering the characteristics of different phase regions and integrating the temperatures of metal fuels in different phase regions, the determined temperature of the metal fuel is more accurate, which helps to further ensure that the xenon gas atomic equilibrium concentration determined based on the volume of uranium vacancies matches the actual situation.

[0061] Embodiments of this application also provide a computer storage medium having a computer program stored thereon, the computer program being executed by a processor to implement the method provided in any embodiment of the first aspect of this application.

[0062] Regarding the embodiments of this application, it should also be noted that, without conflict, the embodiments of this application and the features in the embodiments can be combined with each other to obtain new embodiments.

[0063] The above are merely specific embodiments of this application, but the scope of protection of this application is not limited thereto. The scope of protection of this application shall be determined by the scope of the claims.

Claims

1. A method for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, characterized in that, It includes the following steps: S10: Determine the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel; S20: The minimum radius for the xenon bubble nucleation of the metallic fuel under the irradiation conditions; S30: Determine the radius of the xenon bubble as it changes over time, based on the minimum radius of the xenon bubble nucleation determined in step S20. S40: Determine the Gibbs free energy density of the xenon bubble based on the radius of the xenon bubble determined in step S30 and the interface energy determined in step S10. S50: Determine the xenon bubble sequence parameters based on the Gibbs free energy density of the xenon bubble; S60: Determine the size, density, and morphology of the irradiated bubble based on the xenon bubble sequence parameters.

2. The method according to claim 1, characterized in that, Step S40 also includes the following steps: S41: Determine the atomic equilibrium concentration of xenon gas based on the radius of the xenon bubble determined in step S30 and the interfacial energy determined in step S10. S42: Determine the Gibbs free energy density of the xenon bubble based on the atomic equilibrium concentration of the xenon gas.

3. The method according to claim 2, characterized in that, Step S41 also includes the following steps: S411: Determine the volume of uranium vacancies; S412: Determine the temperature of the metallic fuel; S413: Determine the atomic equilibrium concentration of the xenon gas based on the volume determined in step S411, the temperature determined in step S412, the radius of the xenon bubble determined in step S30, and the interfacial energy determined in step S10.

4. The method according to claim 3, characterized in that, The volume determined in step S411, the temperature determined in step S412, the radius of the xenon bubble determined in step S30, the interfacial energy determined in step S10, and the atomic equilibrium concentration of the xenon gas conform to the following relationship: ， in, This indicates the atomic equilibrium concentration of the xenon gas. The volume of the uranium vacancy is represented by r, and the radius of the xenon bubble is represented by r. T represents the Boltzmann constant, and T represents the temperature of the metallic fuel. denoted by , where b represents the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel, and b represents the van der Waals constant.

5. The method according to claim 3, characterized in that, Step S411 also includes the following steps: S4111: Determine the lattice constant of uranium atoms in different phase regions; S4112: Determine the morphology of uranium atoms in different phase regions; S4113: Determine the volume of the uranium vacancy based on the lattice constant and the morphology.

6. The method according to claim 3, characterized in that, Step S412 also includes the following steps: S4121: Determine the temperature of metallic fuels in different phase regions; S4122: Determine the temperature of the metal fuel based on the temperature of the metal fuel in different phase regions.

7. A system for determining the size, density, and morphology of irradiated bubbles generated by metallic fuel under irradiation conditions, characterized in that, It includes: A data acquisition module, configured to determine the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel; The data preset module is configured to set the minimum radius of xenon bubble nucleation of the metal fuel under the irradiation conditions. A data expansion module is configured to determine the radius of the xenon bubble as it changes over time, based on the minimum radius of the xenon bubble nucleation set by the data preset module. The determining module is configured to determine the Gibbs free energy density of the xenon bubble based on the radius of the xenon bubble determined by the data expansion module and the interface energy determined by the data acquisition module; determine the xenon bubble sequence parameters based on the Gibbs free energy density of the xenon bubble; and determine the size, density, and morphology of the irradiated bubble based on the xenon bubble sequence parameters.

8. The system according to claim 7, characterized in that, The determining module is configured to, when determining the Gibbs free energy density of the xenon bubble, The atomic equilibrium concentration of xenon gas is determined based on the radius of the xenon bubble determined by the data expansion module and the interface energy determined by the data acquisition module. The Gibbs free energy density of the xenon bubble is determined based on the atomic equilibrium concentration of the xenon gas.

9. The system according to claim 8, characterized in that, The determining module is further configured to, when determining the atomic equilibrium concentration of xenon gas, Determine the volume of uranium vacancies and the temperature of the metallic fuel; The atomic equilibrium concentration of xenon gas is determined based on the volume of the uranium vacancy, the temperature of the metallic fuel, the radius of the xenon bubble determined by the data expansion module, and the interface energy determined by the data acquisition module.

10. The system according to claim 9, characterized in that, The volume of the uranium vacancy, the temperature of the metallic fuel, the radius of the xenon bubble determined by the data expansion module, the interface energy determined by the data acquisition module, and the atomic equilibrium concentration of xenon gas determined by the determination module conform to the following relationship: ， in, This indicates the atomic equilibrium concentration of the xenon gas. The volume of the uranium vacancy is represented by r, and the radius of the xenon bubble is represented by r. T represents the Boltzmann constant, and T represents the temperature of the metallic fuel. denoted by , where b represents the interfacial energy of the U-Zr and U-Pu-Zr alloys in the metallic fuel, and b represents the van der Waals constant.

11. The system according to claim 9, characterized in that, The determining module is further configured to, when determining the volume of the uranium vacancy, Determine the lattice constants of uranium atoms in different phase regions and the morphology of uranium atoms in different phase regions; The volume of the uranium vacancy is determined based on the lattice constant and the morphology.

12. The system according to claim 9, characterized in that, The determining module is further configured to, when determining the temperature of the metal fuel Determine the temperature of metallic fuels in different phase regions; The temperature of the metal fuel is determined based on the temperature of the metal fuel in different phase regions.

13. A computer storage medium, characterized in that, It stores a computer program thereon, which is executed by a processor to implement the method as described in any one of claims 1-6.

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