Neeraj completed his Ph.D. at the University of Sydney then moved to the Bragg Institute at Australian Nuclear Science and Technology Organisation (ANSTO) for a post-doc. He started at the School of Chemistry, UNSW on a Australian Institute of Nuclear Science and Engineering (AINSE) Research Fellowship followed by an Australian Research Council (ARC) Discovery Early Career Research Award (DECRA). He is currently an Associate Professor and...view more
Neeraj completed his Ph.D. at the University of Sydney then moved to the Bragg Institute at Australian Nuclear Science and Technology Organisation (ANSTO) for a post-doc. He started at the School of Chemistry, UNSW on a Australian Institute of Nuclear Science and Engineering (AINSE) Research Fellowship followed by an Australian Research Council (ARC) Discovery Early Career Research Award (DECRA). He is currently an Associate Professor and ARC Future Fellow. Neeraj has been the Royal Australian Chemical Institute (RACI) Nyholm Youth Lecturer (2013/2014) and has won the NSW Premiers Prize for Science and Engineering (Early Career Researcher in Physical Sciences, 2019), Australian Synchrotron Research Award (2018), RACI Rennie Memorial Medal for Chemical Science (2018), UNSW Postgraduate Supervisor Award (2017) and a NSW Young Tall Poppy Award (2014). Neeraj has over 165 publications and has been invited to present his work at over 30 conferences. Neeraj’s research interests are based on solid state chemistry, designing new materials and investigating their structure-property relationships. He loves to undertake in situ or operando experiments of materials inside full devices, especially batteries, in order to elucidate the structural subtleties that lead to superior performance parameters. Neeraj’s projects are typically highly collaborative working with colleagues from all over the world with a range of skillsets.
Please visit our research group webpage: https://www.chemistry.unsw.edu.au/our-research/our-research-groups/solid-state-and-materials-chemistry-group
An introduction to the group can be found here: https://youtu.be/TyM716GbDfA
My Grants
2022-2024: Australian Research Council (ARC) Linkage Program, Advanced Molecular Frameworks for Sodium Battery Electrode Applications, Rux Energy, Sydney University, UNSW
2021-: Cooperative Research Centre (CRC) – Project, Advanced Nanoporous MOF Materials for high efficiency Hydrogen storage, Rux Energy, Sydney University, UNSW
2021-2024: Australian Research Council (ARC) Future Fellowship, Electrochemically activated solid state chemistry: A new synthetic avenue
2020-2022: ARC Discovery Project, All-solid-state: new hybrid materials for next-generation lithium batteries
2020-2022: ARC Linkage Program, Engineering Nanoionic Interfaces towards High Performance Cathode Coatings with AOTOL PTY LTD, QI-AO New Material Technology Development Co., LTD.
2020: ARC Linkage Infrastructure, Equipment and Facilities (LIEF) for High Performance Solid State NMR Spectroscopy for Materials Research
2019: ARC Industrial Transformation Research Hubs, ARC Research Hub for Microrecycling of Battery and Consumer Wastes
2019-2023: NEXTGENNA – next generation sodium-ion batteries, Faraday Institution, Australian collaborator lead by Dr. Robert Armstong, Prof. John Irvine (St Andrews) & Dr. Nuria Tapaz-Ruiz (Lancaster)
2019-2021: Le Projet International de Coopération Scientifique (PICS), CNRS, Primary collaborator lead by Dr. Marie Guignard, ICMCB, France
2018: ARC LIEF for a Thermo-gravimetric Infra-red Imaging System
2017-2019: ARC Discovery Project, Scaffolding layered structures to improve insertion electrodes
2017: ARC LIEF grant for Powder X-ray Diffraction under Extreme Conditions
2016-2018: ARC Discovery Early Career Research Award (DECRA), A new method to realise zero thermal expansion materials
2016: International Synchrotron Access Program
2016: Royal Society of Chemistry Researcher Mobility Grant
2015: Australian Academy of Science France-Australia Science Innovation Collaboration (FASIC) Program Early Career Fellowships
2013-2015: UNSW Early Career Researcher / Faculty Grants
2012-2016: AINSE Research Fellowship
My Qualifications
Doctor of Philosophy, University of Sydney
Bachelor of Science (Advanced) Honours 1A, University of Sydney
Graduate Certificate in University Learning and Teaching, UNSW Sydney
Graduate Diploma in Innovation and Enterprise, University of Sydney
My Awards
2019: New South Wales (NSW) Premier’s Prize for Science and Engineering – Early Career Researcher (Physical Sciences)
2018: Australian Synchrotron Research Award
2018: Royal Australian Chemical Institute (RACI) Rennie Memorial Medal for Excellence in Chemical Science
2017: Postgraduate Research Supervisor Award, Postgraduate Council UNSW
2016: Featured as one of UNSW’s “20 rising stars who will change our world” (http://www.20risingstars.unsw.edu.au/)
2014: UNSW Faculty of Science Staff Excellence Award, Excellence in Early Career Research
2013: New South Wales Young Tall Poppy Award
2013-2014: Royal Australian Chemical Institute (RACI) Nyholm Lectureship
My Research Activities
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We chemically tune the atomic arrangement (crystal structure) of solid state materials to enhance their physical properties such as energy storage capacity, ionic conductivity or thermal expansion.
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We use a combination of techniques to characterise our materials, including but not limited to X-ray and neutron diffraction (at the Australian Synchrotron and ANSTO), solid state NMR, electrochemical and impedance analysis, and electron microscopy.
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Our goal is to fully characterise materials, place them into real-world devices such as batteries and solid oxide fuel cells, and then characterise how they work in these devices.
Solid state and Materials Chemistry
Energy-related devices such as batteries and fuel cells are essential in our lives. In order to develop the next generation of technologies we need more power, or better performance, at a lower environmental cost. Research into understanding the interplay between the crystal structure of new materials and their physical properties will allow us to revolutionise how we obtain and store energy.
My research approach encompasses exploratory synthesis, structural determination, physical property measurements and in situ structure and property characterisation of batteries and other devices.
Towards the next generation of batteries: Sodium-ion batteries
Lithium-ion batteries are ubiquitous in our daily lives, e.g. mobile phones and laptop computers, but their limitations have restricted wide-scale use in applications requiring higher power, e.g. electric vehicles and energy storage of renewable energy. This project will target new battery chemistries, in particular sodium-ion batteries, by developing and characterizing new electrode and electrolyte materials. We will work to develop a reliable and affordable room-temperature sodium-ion battery to provide sufficient power for large-scale energy storage from intermittent renewable power sources. Students will work on one of the following parts of a battery and test their component in idealized batteries.
- Positive electrode materials
These electrodes provide the source of the sodium-ions and represent the largest cost and energy limitations for lithium-ion batteries. Here, new sodium-containing transition metal oxides, phosphates or sulfates are be synthesized and characterized to determine the relationship between crystal structure and battery performance.
Sodium-ion conducting ceramics or glassy-ceramics are known to be excellent electrolytes at high temperatures (>300°C). We work towards making materials with sufficient sodium-ion conduction at room temperature.
- Negative electrode materials
Negative electrodes are the least investigated component in a sodium-ion battery and the compounds used for lithium-ion batteries show poor performance in sodium-ion batteries. By developing new negative electrodes and understanding their limitations towards reversible sodium insertion/extraction we will be enable the next generation of devices. The focus of these projects are carbon based materials and the use of solid state 23Na NMR to characterise the insertion/extraction processes.
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)
Tuning negative thermal expansion to produce zero thermal expansion materials
The majority of materials expand during heating via thermal expansion and this process is responsible for billions of dollars per year in maintenance, re-manufacture and replacement costs due to wear and tear on both moving parts (e.g. in aircraft gas turbines), and components that are designed to be static (e.g. in optics, coatings, electronics). If a zero thermal expansion (ZTE) material can be made, a material that neither expands nor contracts upon heating, this could dramatically reduce industrial costs. In order to achieve this, the opposite extreme of materials are considered in this project - negative thermal expansion (NTE) is a property exhibited by a small group of materials predominantly due to transverse vibrations of atom groups or cooperative rotations of units (e.g. –CN- or WO4). These materials typically feature large crystallographic voids and cations with variable oxidation states. So why not use a battery as a synthesis tool? In this project we will controllably insert Li and Na into the voids of the NTE materials, via a battery, in order to tune the cooperative rotations to produce ZTE materials.
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)
In situ studies of materials
Investigating materials functioning in actual devices, i.e. in situ, allows the direct comparison of device performance to the atomic-level changes in the material. By manipulating the atomic-scale crystal structure of components, using a variety of synthetic techniques, improvements in device performance can be achieved, e.g. better lithium-ion batteries can be made.
Development of new ionic conductors
Full solid-state devices are more advantageous than liquid-containing devices as they are generally safer and more robust under harsh conditions however limitations arise particularly due to the lower ionic conductivity in solids. Exploring the mechanism of ionic conduction in solids, and its relationship to factors such as temperature and dopant concentration is a method to significantly improve solid-state devices.
Structural investigations using neutron and X-ray scattering
Single crystal, solid-state and electrochemical synthetic techniques can be used to tailor-make new materials for specific applications, but critical to this process is the characterisation tools employed to elucidate the arrangement of atoms. Our use of the Australian Synchrotron and the neutron scattering facilities at ANSTO provide unparalleled insight into these materials.
An introduction to the group can be found here: https://youtu.be/TyM716GbDfA
My Research Supervision
Areas of supervision
See my research interests - solid state and materials chemistry.
Currently supervising
PhD
Matthew Teusner
Michael Fenech
Jimmy Wu
Lisa Djuandhi
Conrad Gillard
Jennifer Stansby
Emily Cheung
My Teaching
I currently teach at various levels in the School of Chemistry. I also coordinator the Honours programs and the undergraduate research programs. I run the Faculty of Science Talented Students Program.
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