Resolving the Inner Core Nucleation Paradox

Lead Research Organisation: University of Leeds
Department Name: School of Earth and Environment

Abstract

The solid inner core, a ball of iron and nickel over 5000 km below the surface, is the most remote region of our planet and yet plays a crucial role in the Earth system. As the whole planet cools, the inner core grows outwards from Earth's centre by a few millimetres each year. Remarkably, this slow process is the dominant power source that sustains fluid motion in the outer core, which is responsible for generating Earth's magnetic field. The magnetic field emanates from the core and threads through the whole Earth, shielding the surface environment and low-orbiting satellites from potentially harmful solar radiation and enabling continued planetary habitability. Without the power supplied by inner core growth, Earth's magnetic field would probably not still be active today.

The very presence of the inner core fundamentally changes the dynamics of fluid flow in the liquid core, altering the field we observe at Earth's surface in a complex manner that is still debated, and may influence the processes and characteristics of magnetic polarity reversals and excursions. Growth of the inner core also affects the structure and evolution of enigmatic regions at the top and bottom of the outer core observed by seismology, which are important because they apparently do not help to generate magnetic field. However, despite decades of study, recent work has uncovered a significant gap in our understanding of how the inner core formed. Astonishingly, the change is so significant that our most advanced models of Earth's evolution imply that the inner core should not have formed. Given that Earth has a solid inner core, this leads to a significant gap in our understanding of the evolution of our planet.

The inner core nucleation paradox arises from the way that a liquid transforms to a solid as it cools through its melting temperature. Below the melting temperature the energy of the solid is lower than the energy of the same amount of liquid. Although this means formation of the solid from the liquid would be favoured, in the absence of external surfaces (so-called homogeneous nucleation) some energy is required to form a solid-liquid interface; until this energy barrier is overcome the liquid state can persist even below the melting point. The size of the barrier decreases as the system is supercooled further below the melting temperature. We observe this effect in the atmosphere where supercooled water droplets persist in the liquid state until snow forms around dust particles or ice flash-freezes on aircraft wings. These examples also illustrate the importance of heterogeneous nucleation, where a pre-existing solid (e.g. an aircraft wing) reduces the energy barrier and allows rapid freezing. Supercooling is the missing ingredient from current models of inner core formation.

Recent work, including our own pilot study using atomic-scale simulations, suggests that the amount of supercooling required for homogeneous nucleation of iron under core conditions is very large: 700-1000 K is needed for the inner core to nucleate on the billion-year timescale available. This is too large to be compatible with current theories of inner core growth. We thus cannot explain the presence of a solid inner core at the centre of the Earth, even though we know it exists. This is the inner core nucleation paradox.

In this proposal we will resolve the inner core nucleation paradox by a multidisciplinary approach that combines simulation of nucleation at the atomic scale with models of Earth's evolution spanning the last 4.5 billion years. We will determine whether the inner core nucleated homogeneously or heterogeneously and place robust bounds on the inner core age. These results will be incorporated into a new generation of core evolution models that will provide a coherent picture of deep Earth evolution and form the framework for interpreting fundamental magnetic and seismic observations of Earth's deep interior.

Planned Impact

The proposed research tackles fundamental problems with current theories that describe the thermal evolution of the Earth and formation of the solid inner core and so the most immediate beneficiaries of the research will be academics involved in Geosciences. Nevertheless, we expect the outputs of the research project to be of significant interest to the general public, especially those interested in science or scientific education. By engaging with these groups, we hope to drive indirect societal and economic benefit by the increase of technical literacy and the study of STEM subjects. In particular, we have identified three groups who are particularly likely to engage with our work, and who we will target during the impact activities associated with this project. These are:

1. Scientifically inquisitive members of the general public

2. Teachers of STEM subjects in secondary education

3. Primary and secondary students studying science or mathematics

To engage members of the general public we will undertake a range of activities (described in the Pathways to Impact document) that will ensure that our research is disseminated to the widest possible audience. These activities include writing popular articles, presenting public talks on the broader implications of our science, and participating in university-led outreach events. We expect the immediate benefits to this group will probably be cultural (enjoyment and understanding of science) rather than economic. However, we should not understate the longer-term social and economic benefits that may accrue. The timescale for benefits from this activity is probably quite short, similar to the length of the project.

To engage STEM teachers we will piggy-back on an existing programme of collaborative activities, including annual workshops, at the University of Leeds. These workshops are designed to inform teachers of A-level and GCSE science of the range of opportunities for their students in the Earth sciences, and to provide activities that can be delivered by the teachers in a classroom setting. This activity will yield a direct benefit to education (and consequentially to the economy). In addition, many students (many more than we could reach directly) will benefit from this activity. The timescale for the direct benefits to teachers is quite short: material can be delivered imminently after each annual workshop. However, benefits to students reached by these activities may last a lifetime.

Further engagement with students will be via existing activities at UCL and Leeds. These activities reach a very large number of primary students in London and secondary students Yorkshire. In both cases the aim is to drive interest in STEM subjects with consequential benefits to students (who can expect better life-time economic outcome) and society in general. The timescale for the benefits of these activities is long, with benefits probably not accruing until students reach working age.
 
Description We have demonstrated that the detailed atomic-scale freezing behaviour of pure iron is consistent with predictions from theory and therefore this system cannot resolve the "inner core nucleation paradox" . We have also looked at various combinations of iron-carbon-oxygen-silicon alloys, which are plausible compositions for Earth's core. This work has shown that adding silicon increases the required undercooling compared to pure iron, i.e. it makes the situation worse, while adding oxygen and carbon reduce the required undercooling. Carbon is the most promising candidate - adding about 3 mol% to iron almost brings the required undercooling to within bounds set by geophysical observations. This is a crucial result because it suggests that homogeneous nucleation, which has previously been viewed as impossible in Earth's core, may yet be the explanation for the nucleation paradox.
Exploitation Route We have provided a general tool set for investigating nucleation behaviour in planetary cores.
Sectors Environment

 
Description UCL 
Organisation University College London
Department Department of Security and Crime Science
Country United Kingdom 
Sector Academic/University 
PI Contribution Intellectual input relating to geophysical implications of material properties of iron alloys calculated by Prof. Dario Alfe and Dr. Monica Pozzo at University College London (UCL).
Collaborator Contribution Colleagues specialise in calculation of the material properties of iron and iron alloys at the enormous pressures and temperatures of Earth's liquid core. Having swift and direct access to the results of these state-of-the-art calculations is a significant advantage for this fellowship.
Impact 10.1016/j.pepi.2015.04.002, 10.1038/ngeo2492
Start Year 2011