Size, shape and surface properties in realistic models of magnetic nanocrystals

Lead Research Organisation: University of York
Department Name: Physics

Abstract

Magnetic hyperthermia is a promising treatment for brain and prostate cancers due to the localised nature of the treatment compared to chemo or radiotherapy. Brain cancer in particular is difficult to treat with conventional therapies due to the sensitivity of the surrounding tissue with only a 14% survival rate after 10 years in the UK. Magnetic nanoparticles used in magnetic hyperthermia must be biocompatible and provide efficient and reliable heating, yet their physical complexity is limiting progress towards their clinical use. Complexity arises due to the small size of the particles (10-100 nm) leading to a range of physical properties such as surface and bulk atomic defects, finite size and thermal effects, multiple oxide phases and surface functionalization. All of these properties contribute to the overall magnetic properties but are extremely difficult to predict theoretically or with simple model approaches. Previous simulations have considered only simple approaches to the magnetic properties of individual magnetic nanoparticles and give limited insight into the properties of real nanoparticles. Yet there is an urgent need to understand the relative importance of these effects so that experimental effort can be focused on their control and optimisation to accelerate development of this potentially life saving treatment. This proposal will address this challenge by developing a realistic model of magnetic nanoparticles to understand the role of the surface on the particle properties and the resulting magnetization dynamics used to generate heat during magnetic hyperthermia.

The aim of the project is to develop a novel atomic scale magnetic model of magnetite nanocrystals to understand the effects of size, shape and the surface on their equilibrium and dynamic magnetic properties. We will use this information to model and understand how the magnetic particles reverse in an applied magnetic field which is directly related to the amount of heat generated during magnetic hyperthermia. Using atomistic spin dynamics we will be able to simulate the effects of thermal fluctuations at the surface on the effective magnetic properties and their importance in determining the reversal mechanism. The interactions between particles can also play a critical role in the overall magnetic properties, and so we will use our model to simulate the interaction of small clusters of particles with atomic resolution giving new insight into their importance. Finally, we will develop an atomistic model of functional core-shell oxide nanoparticles to determine the optimal magnetic properties for magnetic hyperthermia. The computational methods developed in this project will significantly advance the ability to accurately model magnetic composite materials with wide application in the fields of magnetism and spintronics and made freely available to the community within the open source vampire software package. The results from this project will improve our understanding of the properties of magnetite nanocrystals, guide future research on magnetic hyperthermia and accelerate the development of this critical treatment.

Planned Impact

This project will potentially enable a new approach to magnetic nanoparticle design and optimization guided by predictive numerical simulations rather than trial and error driven methods typically used today. This will come from a stepwise improvement in the quality of the models by taking into account the effects of realistic surface properties and by benchmarking them against the latest state-of-the-art experimental measurements. The improvement in the models will enable much better predictions of the nanoparticle properties.

Due to the early stage nature of the research the immediate impacts from the project will be improved knowledge of the properties of ferrite nanoparticles and a new simulation capability for composite structures. However, there is significant potential for wider societal impacts in future through the successful development of magnetic hyperthermia as a cancer therapy or ferrite based nanoparticles for biosensing or targeted drug delivery. The ability to predictively model the properties of particles could enable industrial optimisation for applications, often needed to satisfy multiple quality and design requirements. If successful, this could lead to significant health and quality of life benefits for people in the UK and beyond. Pharmaceutical companies have a strong presence in the UK and if magnetic hyperthermia is developed in the UK it could lead to economic benefits such as job creation and wealth generation.

The novel feature enhancements in this project will contribute to the worldwide competitiveness of the VAMPIRE software package, the leading tool for atomistic spin dynamics simulations. The improved competiveness of these software packages also has wider benefits in improving the attractiveness of the UK for international and EU research funding, providing direct benefits through training and employment of skilled researchers. The VAMPIRE software package is widely used in industrial research laboratories worldwide (Seagate Technology, Western Digital, Samsung Semiconductor, Mitsubishi Research Laboratories), and the novel feature enhancements developed in this project will be of direct benefit to all current and future producers of nanomagnetic devices. Such technologies could lead to reduced energy usage with direct and far reaching benefits for global energy consumption and reduced reliance on fossil fuels.

The post doctoral research assistant funded by the project will develop code in order to achieve the project aims, a highly transferable skill in high demand in the UK. A combination of excellent problem solving skills and the ability to develop high performance computer code will make them attractive to other employment sectors such as software and games development, financial services, and advanced manufacturing.

Publications

10 25 50
 
Description The SUPERMAN project focused on developing new atomistic models to study the static and dynamic properties of magnetic oxide nanocrystals. The first stage of the project focused on developing a realistic morphological model of the nanocrystals with arbitrary shape and faceting. Here we developed a simple algorithm to generate elongated and faceted particles and also with a core-shell morphology. In the core-shell we can arbitrarily control the concentration of crystal dopants such as Co,Mn within the magnetite crystal. Complex particles including internal defects often have different crystallographic orientations and so we implemented a method to include arbitrary rotations of the magnetic cubic anisotropy. We also developed a new adaptive Monte Carlo sampling algorithm for spin model simulations which is significantly faster than previous methods. Finally we implemented a new method to include anti-symmetric Dzyaloshinskii-Moriya interactions (DMI) to incorporate local symmetry effects in magnetic-oxide nanoparticles. All of these algorithms have been incorporated into the open source VAMPIRE code and are already available to the wider research community.

We applied the new structural models to study the static properties of elongated nanocrystals including the effects of shape anisotropy. Shape anisotropy arises due to the demagnetizing field of a magnetic material which opposes the magnetization and leads to a preference for the magnetization to orientate along particular directions for a sample of a particular shape. In magnetite nanocrystals the shape anisotropy is expected to dominate the cubic magnetocrystalline anisotropy and so we studied the effect of elongation on the effective demagnetizing factor and energy barriers. We found that the shape anisotropy effect deviates significantly from simple analytical approaches for regular ellipsoids, particularly in the case of realistically faceted nanocrystals. In particular the shape anisotropy is weaker than usually expected and shows large oscillations as a function of the particle elongation due to the discrete addition of planes of atoms at the nanoscale.

In the next stage of the project we investigated the role of surface effects on the magnetic anisotropy of small Mn(x)Fe(3-x)O4 nanoparticles. This complex system consists of a magnetite (Fe3O4) core with a thin manganese ferrite shell. The experimental results suggested a local canting of magnetic moments at the atomic scale and we included the effects of Dzyaloshinskii-Moriya interactions in our numerical model of the nanoparticle. We found that these complex interactions can explain the observed spin canting and are a previously unknown feature of spinel-ordered magnetic ferrites.

Finally we considered the dynamic properties of the nanoparticles using atomistic spin dynamics simulations and comparative calculations of the temperature dependent energy barriers. This approach allowed us to determine a unique estimation of the magnetic relaxation attempt frequency f0 by computing effective relaxation times and effective energy barriers. We found a lower value of ~500 MHz compared to the usual assumptions of ~1GHz which is important when considering the interpretation of experimental results and in kinetic Monte Carlo simulations of relaxation processes.
Exploitation Route Our findings will initially be of most benefit to academics and researchers in the field of nanoparticle research for magnetic hyperthermia. The detailed understanding of finite size properties and the role of faceting and particle elongation will lead to improved characterisation of samples and more accurate simulation models of magnetic particle systems. The methodological developments implemented in the VAMPIRE code are translational and can be used for a wide range of atomistic simulations in the field of magnetism and spintronics. Forthcoming academic publications will provide a platform for dissemination of technical knowledge and data from the project to the academic community in the field of magnetism and the wider scientific community in related fields.
Sectors Chemicals,Healthcare,Manufacturing, including Industrial Biotechology,Pharmaceuticals and Medical Biotechnology

URL http://www-users.york.ac.uk/~rfle500/projects/superman/
 
Description Collaboration with Prof. Sara Majetich, CMU, Pittsburgh, USA 
Organisation Carnegie Mellon University
Country United States 
Sector Academic/University 
PI Contribution We simulated the magnetic properties of Mn doped magnetite nanoparticles using an atomistic spin model, and found evidence of spin canting due to DM interactions on the Mn sites.
Collaborator Contribution Prof. Majetich made nanoparticle samples of MnFe2O4/Fe3O4 and performed experimental measurements to investigate their magnetic properties.
Impact The collaboration has lead to a joint publication of results in Scientific Reports.
Start Year 2017
 
Title VAMPIRE 
Description The VAMPIRE package is an open source parallel computer program for simulating the properties of magnetic materials at the atomistic scale. 
Type Of Technology Software 
Year Produced 2017 
Open Source License? Yes  
Impact During this project we added new functionality to enable the simulation of core-shell nanostructures with a complex crystal structure within the VAMPIRE code. This enables a new capability which will give detailed insight into the finite size and scaling properties of magnetic core-shell nanoparticles. This capability has wider application beyond this project to different composite magnetic systems which are common in practical magnets and spintronic materials. 
URL http://vampire.york.ac.uk
 
Description Project website 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact We have published a project website to present the project results and outcomes to the wider scientific community, general public and school children. As the project progresses more information will be uploaded and made available in perpetuity.
Year(s) Of Engagement Activity 2018
URL http://www-users.york.ac.uk/~rfle500/projects/superman/