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SYSTEMATIC METHODS FOR SOLVENT DESIGN: TOWARDS BETTER REACTIVE PROCESSES Eirini Siougkrou National Technical University of Athens KT Consortium annual meeting, DTU 8 June 2017 Outline Systematic methods for solvent design A


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SLIDE 1

SYSTEMATIC METHODS FOR SOLVENT DESIGN: TOWARDS BETTER REACTIVE PROCESSES

Eirini Siougkrou

National Technical University of Athens

KT Consortium annual meeting, DTU 8 June 2017

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SLIDE 2

Outline

  • Systematic methods for solvent design
  • A methodology for the integrated design of a gas-expanded

liquid and reactive system

  • Ab-Initio Computer-Aided Molecular Design for the Identification
  • f Optimal Solvents for Reactions
  • Semantics and Process Systems Engineering
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SLIDE 3

Outline

  • Systematic methods for solvent design
  • A methodology for the integrated design of a gas-expanded

liquid and reactive system

  • Ab-Initio Computer-Aided Molecular Design for the Identification
  • f Optimal Solvents for Reactions
  • Semantics and Process Systems Engineering
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SLIDE 4

Solvents and chemical reactions

  • The importance of solvents

in chemical reactions is well known:

  • bring reactants together
  • temperature control
  • selectivity/reaction rate
  • transport
  • separation
  • Reaction rate constants

can vary by several orders

  • f magnitude from solvent

to solvent.

0.0 0.1 0.2 0.3 0.4 200 400 600 800 1000 1200 1400 1600 1800 [P] (mol/L) t (s)

nitromethane THF acetonitrile chloroform toluene acetone

The concentration of the product for different solvents for the Menschutkin reaction of phenacyl bromide and pyridine1:

Solvent optimisation very important Need for alternative “green” solvents

  • H. Struebing et al., 2013
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SLIDE 5

Objectives

  • The development of novel methodologies for the design of

solvents for chemical reactions

  • Two aspects considered:

Design of solvent mixture

  • CO2-expanded solvents
  • experimental data needed
  • integration in process design

Ab-initio solvent design

  • no experimental data
  • generic QM-CAMD methodology
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SLIDE 6

Gas-Expanded Liquids (GXLs)

6

  • Why mixed solvents?
  • tuneable properties
  • combination of desirable

properties of co-solvents

  • elimination of undesirable

properties of co-solvents

P.G.Jessop, B.Subramanian, 2007

GXLs1 are mixed solvents composed of:

  • rganic solvent + compressible gas (usually CO2)

100 200 300 400 500 25 50 75 100 g PA / kg solvent mass % water in acetone

Solubility of paracetamol in water+acetone mixture, at T = 23 ◦C.

R.A. Granberg, A.C.Rasmuson, 2000

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SLIDE 7

Gas-Expanded Liquids (GXLs)

6

  • Why mixed solvents?
  • tuneable properties
  • Why GXLs?
  • recovery and recycle of both the organic

solvent and CO2 through depressurisation

  • moderate operating pressures
  • enhanced transport rates and reaction

rates

  • reduced environmental impact

 GXLs meet process and environmental requirements

P.G.Jessop, B.Subramanian, 2007

GXLs1 are mixed solvents composed of:

  • rganic solvent + compressible gas (usually CO2)

100 200 300 400 500 25 50 75 100 g PA / kg solvent mass % water in acetone

Solubility of paracetamol in water+acetone mixture, at T = 23 ◦C.

R.A. Granberg, A.C.Rasmuson, 2000

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SLIDE 8

Objectives

To develop a methodology for the integrated design of a reactive system including a solvent mixture.

Given a reaction and a production rate, find the optimal

  • CO2-expanded solvent
  • equipment size
  • operating conditions

that minimise the total cost of the process. Case study: the Diels-Alder reaction of anthracene with PTAD.

Challenges: high pressure presence of solids effect of solvent composition on reaction rate

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SLIDE 9

Our Model

  • For the process we consider a CSTR, a separator (evaporator), a

condenser and a compressor.

  • 1. Process Systems Enterprise, gPROMS, 1997-2009

CSTR

  • T = 40 oC
  • Neglect

heat effects Separator

  • treated as black box
  • solvent evaporation only
  • 100% recovery

Condenser Compressor The model is implemented in gPROMS1.

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SLIDE 10

Our Model

  • The model can be divided in five sub-models:
  • Reaction rate constant model: Solvatochromic equation1
  • Composition dependence of solvent properties2
  • Phase Equilibrium: Group-contribution VTPR EoS3
  • Process mass balances
  • Cost model
  • Organic co-solvents: acetonitrile,

acetone, methanol.

  • 1. J.W. Ford, J.Lu, C.L.Liotta, C.A.Eckert, 2008

2 . C.Ràfols, M.Rosés, E.Bosch, 1997

  • 3. J.Ahlers, T.Yamaguchi, J.Gmehling, 2004
  • E. Siougkrou, A. Galindo, C.S. Adjiman, 2011
  • E. Siougkrou, A. Galindo, C.S. Adjiman, 2014

β α π b a s k k + + + =

12 12 2 2 1 1

Y x Y x Y x Y

s s s

+ + =

2 2 1 / 12 2 2 1 / 2 2 2 2 2 1 / 12 12 2 2 1 / 2 2 2 2 1

) 1 ( ) ( ) 1 ( ) 1 ( ) ( ) 1 ( x x f x f x x x f Y x f Y x Y Y − + + − − + + − =

  • Fitted to

experimental data.

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SLIDE 11

Reaction Rate Constant Solubility

  • The reaction rate constant

increases with increasing xCO2 in all mixed solvents.

0.5 1 1.5 2 2.5 3 0.2 0.4 0.6 0.8 1

k (s-1) x CO2

acetonitrile + CO2 acetone + CO2 methanol + CO2

J.W. Ford, J.Lu, C.L.Liotta, C.A.Eckert, 2008

E.A.Cepeda, M.Diaz, 1996 L.N. Petrova, 1974 0.001 0.002 0.003 0.004 0.005 0.006 2 4 6 8 10

xanthracene

P (MPa)

 The solubility of anthracene

decreases with increasing xCO2 in all mixed solvents.

  • E. Siougkrou, A. Galindo, C.S. Adjiman, 2014
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SLIDE 12

Volume of the CSTR and Cost of the Process

acetonitrile + CO2 acetone + CO2 

Methanol not shown as it requires very large volumes.

Both acetonitrile and acetone seem to be suitable co-solvents.

Optimum xCO2 = 0.45 in acetone.

Taking into account environmental criteria, the optimum xCO2 is around 0.7.

200000 400000 600000 800000 1000000 1200000 1400000 0.2 0.4 0.6 0.8 1

Total Cost ($/year)

xCO2

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.2 0.4 0.6 0.8 1

Vreactor (m3)

xCO2

  • E. Siougkrou, A. Galindo, C.S. Adjiman, 2014
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SLIDE 13

Volume of the CSTR and Cost of the Process

acetonitrile + CO2 acetone + CO2

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.2 0.4 0.6 0.8 1

Vreactor (m3)

xCO2

50000 150000 250000 350000 450000 550000 0.2 0.4 0.6 0.8 1

Total Cost ($/year)

xCO2

Methanol not shown as it requires very large volumes.

Both acetonitrile and acetone seem to be suitable co-solvents.

Optimum xCO2 = 0.45 in acetone.

Taking into account environmental criteria, the optimum xCO2 is around 0.7.

  • E. Siougkrou, A. Galindo, C.S. Adjiman, 2014
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SLIDE 14

Outline

  • A methodology for the integrated design of a gas-

expanded liquid and reactive system

  • Ab-Initio Computer-Aided Molecular Design for the

Identification of Optimal Solvents for Reactions

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SLIDE 15

Objectives

To develop a methodology for the design of the optimal solvent that maximises the rate constant of a given reaction.

  • Enables solution of more complex problems to be tackled
  • e.g., selectivity maximisation
  • Requirements of the methodology:
  • Consider a large number of candidate solvents and take into

account multiple constraints & objectives ⇒ Computer-Aided Molecular Design (CAMD)

  • Based on reliable prediction of kinetics ⇒

Quantum Mechanics (QM) + Group Contribution (GC)

  • Computational efficiency ⇒ limit number of QM calculations
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SLIDE 16

Solvent design problem

A Computer-Aided Molecular Design optimisation formulation

{ }

u

d g h g h 1 , ) , ( ) , ( ) , ( ) , , ( ) , , (

2 2 1 1 , ,

max

∈ ℜ ∈ ℜ ∈ ≤ ≤ = ≤ =

i y n

y n y n , y n y n y n y n

q m

ξ ξ ξ ξ

ξ

q ,..., 1 = i

) (ξ f

structure-property constraints chemical feasibility and molecular complexity constraints design constraints physical properties number of groups in molecule binary variables

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SLIDE 17

Solvent design problem

{ }

u

d g h g h 1 , ) , ( ) , ( ) , ( ) , , ( ) , , (

2 2 1 1 , ,

max

∈ ∈ ∈ ≤ ≤ = ≤ =

i y n

y n y n , y n y n y n y n

q m

R R ξ ξ ξ ξ

ξ

q ,..., 1 = i

) (ξ f

structure-property constraints reaction rate constant

However, the consideration of reaction kinetics brings significant challenges

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SLIDE 18

Property prediction for solvent design

k

Group Contribution methods1 solute at electronic scale solvent at macroscale

described with bulk properties

solvent at macroscale Continuum Solvation2 Quantum Mechanics Atoms

Α Β ε γ nD φ ψ

  • 1. T. J. Sheldon et al., Fluid Phase Equilibria 231 (2005) 27-37
  • 2. A. V. Marenich et al., J.Phys. Chem. B 113 (2009) 6378-6396
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SLIDE 19

Reaction rate constant from Quantum Mechanics

  • Rate constant from Conventional Transition State Theory

(CTST): R1 + R2 ↔ TS → P

N O Br N O Br

N O Br

solv

G ,

‡ 

∆ ∆

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SLIDE 20

( )

( )

φ,ψ , n γ, B, A, , A ε, G A ε, E G

D i i CDS i i ENP S solv

  • i

i

* , , ,

) ; ( min ) ( r r ξ

r

+ ∆ = ∆

  • Rate constant from Conventional Transition State Theory

(CTST) using the SMD solvation model: R1 + R2 ↔ TS → P

)) ( (

, ‡ TST

φ,ψ , n γ, Β, Α, ε, G f k

D solv 

∆ ∆ =

activation free energy of solvation

Reaction rate constant from Quantum Mechanics Free energy of solvation

electrostatic contribution non-electrostatic contribution

( )

) , ; ( min arg , *

,

A E A

i i ENP i

i

ε ε r r

r

∆ =

Bilevel problem with embedded QM calculations

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SLIDE 21

Step 1. Define the initial solvent set Step 2. Calculate rate constant in specific solvent(s) by QM Step 4. Identify optimal solvent candidate Step 5. New solvent found? Candidate solvent found

No Yes

QM-CAMD solvent design methodology

Step 3. Build a surrogate model for the rate constant

  • H. Struebing et al., 2013
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SLIDE 22

Step 1. Define the initial solvent set Step 2. Calculate rate constant in specific solvent(s) by QM Step 3. Build a surrogate model for the rate constant Step 4. Identify optimal solvent candidate Step 5. New solvent found? Candidate solvent found

No Yes

QM-CAMD-Kriging solvent design methodology

Kriging

  • E. Siougkrou, A. Galindo, C.S. Adjiman, in preparation
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SLIDE 23

Choice of surrogate model

  • Use a “physical” model, e.g. a linear free energy relation
  • solvatochromic equation – a simple model
  • approach successfully demonstrated on a SN2 reaction1
  • inherent mismatch between detailed and surrogate models makes

identification of best solvent challenging

  • Use a response-surface methodology
  • ensure convergence between detailed and surrogate models
  • … at the cost of increased computational complexity
  • 1. H. Struebing et al.,, 2013
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SLIDE 24

Building a Kriging response surface

What makes Kriging special

 Εxact extrapolator with a statistical interpretation  Correlation between two random variables

θ, p: adjustable parameters, - solvent properties

Kriging predictor

kTST : set of rate constants evaluated at Kriging by DFT+SMD

  • D. R. Jones, J. Global Opt. 21 (2001) 345-383

: mean value, R : correlation matrix, r : augmented correlation matrix TST

k ˆ

        − − =

=

l

p l jl S il S l ij

R

7 1 , ,

exp ξ ξ θ

) , , , , , , (

T

ψ φ γ ε

D S

n Β Α = ξ

) ˆ ( ˆ ) (

1 TST TST TST S KR

k k k 1 − ′ + =

− k

R r ξ

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SLIDE 25

Building a Kriging response surface

What makes Kriging special

 Εxact extrapolator with a statistical interpretation  Correlation between two random variables

θ, p: adjustable parameters, - solvent properties

Kriging predictor kKR = kKR (ε, Α, Β, γ, nD, φ, ψ)

) ˆ ( ˆ ) (

1 TST TST TST S KR

k k k 1 − ′ + =

− k

R r ξ

        − − =

=

l

p l jl S il S l ij

R

7 1 , ,

exp ξ ξ θ

) , , , , , , (

T

ψ φ γ ε

D S

n Β Α = ξ

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SLIDE 26

Application to two chemical reactions

Menschutkin reaction

  • Best solvent designed:

dichlromethanol

 A 165% increase in

predicted rate constant

 A 126% increase over best

solvent using linear surrogate model

Cope elimination

  • Best solvent designed:

methylpentane

 A 326% increase in

predicted rate constant

  • E. Siougkrou, A. Galindo, C.S. Adjiman, in preparation
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SLIDE 27

How reliable are the DFT+SMD calculations?

Reaction studied at various levels of theories and basis sets QM calculations for rate constant in good agreement with experiments for aprotic solvents Match between experimental and computational rankings

  • H. Struebing et al. Nature Chem. 5 (2013) 952-957

1.E-05 1.E-04 1.E-03 1.E-02

k (dm3 mol-1 s-1) M05-2X/6-31G(d) experimental

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SLIDE 28

1.0E-05 1.0E-04 1.0E-03 1.0E-02 k (dm3 mol-1 s-1) M05-2X/6-31G(d) experimental

How reliable are the DFT+SMD calculations?

Not very good agreement in protic solvents Best aprotic solvent designed: Cl(CH2)2NO2

kTST = 3.24 x 10-3 dm3 mol-1 s-1

A 35% increase

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SLIDE 29

Summary & Perspectives

  • A model formulation for the integrated design of a CO2-expanded

solvent and a reactive system has been developed

  • Need for new, more predictive models for solvent effects (focused on

kinetics/rate constants)

  • A new computational methodology for the design of solvents
  • Combination of QM, kriging and CAMD
  • QM-CAMD methodology extended to account for solubility of

reactants (H. Struebing, S. Oberhaimer, E. Siougkrou, C. Adjiman, A. Galindo, 2017)

  • Investigation of the effect of the initial set of solvents for the QM-

CAMD algorithm and optimal selection of the initial set (T. Oliyide, E.

Siougkrou, C. Adjiman, in preparation)

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SLIDE 30

Outline

  • Systematic methods for solvent design
  • A methodology for the integrated design of a gas-expanded

liquid and reactive system

  • Ab-Initio Computer-Aided Molecular Design for the Identification
  • f Optimal Solvents for Reactions
  • Semantics and Process Systems Engineering
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SLIDE 31
  • Natural language interpretation

’Would it be profitable to install a bioethanol plant in Greece? ’What product portfolios would be possible? ’For which of these product portfolios are the technologies required existing?

Why semantics

cost/profit estimation cost models for biorefinaries symbiosis info? product info processing technologies processing technologies possible value chains existing technology models experimental data

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SLIDE 32
  • Natural language interpretation
  • Large amount of data
  • Heterogeneous resources
  • mathematical models, flowsheets, experimental data, etc.
  • High-throughput organisation and discovery of information
  • Update of information without the need for redesign

Why semantics

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SLIDE 33

Ontology engineering

“An ontology is an explicit, formal specification of a shared

  • conceptualization. The term is borrowed from philosophy, where

an Ontology is a systematic account of Existence. For Artificial Intelligence systems, what ‘’exists’’ is that which can be represented.”

Thomas R. Gruber (1993)

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SLIDE 34
  • Classes: collection of entities that share a common characteristic
  • Instances / Individuals: entities that belong to a particular class
  • Relations / Object properties (Domain, Range)
  • Data properties: e.g. Age (Peter,15)

Class: Parents Class: Children

Mary John Sara Peter Michael

Individuals Parents (Mary) Parents (John) Children (Peter) Children (Sara) Children (Michael) isParentOf (Mary,Peter) isChildOf isSiblingOf (Michael,Sara) isParentOf

Ontology engineering

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SLIDE 35

An ontology for biorefineries – Synthesis of paths

Feedstock Technology 1 Intermediate 1 Technology 2 Intermediate 2 Product 1 Product 2 Product 3 Technology 3 Technology 4 Intermediate 3 Technology 1 Product 4

Flows Technologies

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SLIDE 36

Flow 1 Technology 1 Flow 2 Technology 2 Flow 3

isProcessedWith isProcessedWith hasInput hasInput hasOutput hasOutput isProducedThrough isProducedThrough

  • hasInput (Technologies,Flows)
  • IsProcessedWith (Flows,Technologies) Inverse of hasInput
  • Automatic connection by reasoner
  • hasOutput (Technologies,Flows)
  • IsProducedThrough (Flows,Technologies) Inverse of hasOutput
  • Automatic connection by reasoner

An ontology for biorefineries – Object properties

  • E. Siougkrou, A.C. Kokossis, 2016
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SLIDE 37
  • produces (Flows,Flows) : IsProcessedWith o hasOutput
  • Automatic connection by reasoner
  • isProducedBy (Flows,Flows) Inverse of produces
  • Automatic connection by reasoner

Flow 1 Technology 1 Flow 2 Technology 2 Flow 3

isProcessedWith hasOutput isProcessedWith hasOutput hasInput isProducedThrough hasInput isProducedThrough produces produces isProducedBy isProducedBy

chain

An ontology for biorefineries – Object properties

Flow 1 Technology 1 Flow 2 Technology 2 Flow 3

isProcessedWith hasOutput isProcessedWith hasOutput hasInput isProducedThrough hasInput isProducedThrough produces produces isProducedBy isProducedBy

  • E. Siougkrou, A.C. Kokossis, 2016
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SLIDE 38

Synthesis of paths / value chains

Algae Dunaliella paste ??? Products Feedstock

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SLIDE 39

Step 1. Select Feedstock F Step 2. Find Intermediates I & Products P where F produces I & P Step 3. Find Technologies T where T hasInput F & T hasOutput I OR P Step 4. Find Technologies T where T hasInput I & T hasOutput I OR P Step 5. Find Technologies T where T hasInput P & T hasOutput I OR P Step 6. Transfer pathways to graph

Algae Dunaliella paste Lipids Carotenes Xanthophylls

Synthesis of paths / value chains

Value chain algorithms

Dry algae Glycerol Algae Carotenoids Mixture 1 Mixture 2 Mixture 3 Mixture 4 Drying

  • Hex. Extraction

S-L

  • Eth. Extraction

S-L Membrane ScCO2 Extraction S-L Centrifuge

  • Hex. Extraction

L-L ScCO2 Extraction L-L HPCCC

  • E. Siougkrou, F. Lykokanellos, A.C. Kokossis, in preparation
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SLIDE 40

Algae Dunaliella paste Membrane Lipids Carotenes Xanthophylls Dry algae Glycerol Algae ScCO2 Extraction S-L Carotenoids Mixture 1 Mixture 2 Mixture 3 Mixture 4 Drying Hex. Extraction S-L

  • Eth. Extraction

S-L Centrifuge Hex. Extraction L-L ScCO2 Extraction L-L HPCCC

Step 6. Transfer pathways to graph

Link with optimisation formulation to find the optimal path

Synthesis of paths / value chains

Value chain algorithms

Available on the web URI: tools.ipsen.ntua.gr

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SLIDE 41

Summary - Perspectives

  • Ontology

engineering is a promising alternative to mathematical programming

  • User-friendly applications
  • Ontology engineering offers the technology for high-throughput
  • rganisation of large data and complex relations
  • Many

possible applications, e.g. industrial symbiosis, integration of technologies/industries (1G + 2G biorefineries), metabolic pathways

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SLIDE 42

Acknowledgements

Collaborators

  • Prof. Claire Adjiman
  • Prof. Amparo Galindo
  • Prof. Antonis Kokossis
  • Dr. Heiko Struebing
  • Dr. Zara Ganase
  • Mr. Fil Lykokanellos
  • Ms. Foteini Barla
  • Mr. Stefan Oberhaimer

Funding

  • EPSRC, Molecular Systems Engineering grant (EP/E016340)
  • Marie Curie European Research Program, RENESENG (FP-607415)

Thank you!