Physics Chemistry
Polymers and biopolymers in
Polymerscience Nanoscience micro- and nanotechnology
Life Sciences Engineering Sciences
Biomimetisches Optisch Lithographische Strukturdesign Strukturierungstechniken
Selbstorganisation Motivation Softlithographie
Mikrodisperse Surface Design Strukturelemente
Polymers and biopolymers in micro- and nanotechnology
What are micro- and nanotechnology about ?
• Majour goals • Representative examples from microtechnology • Representative examples from nanotechnology
What are the materials used in micro- and nanotechnology?
• Silicon, metals, semiconductors and inorganics • Polymers, organic materials
Polymers and biopolymers in micro- and nanotechnology
What are the technologies used in micro- and nanosciences?
• Structuring technologies • Analytical techniques • Self assembly
What is the biological input to micro- and nanotechnology?
• Biomimetic strategies • Biophysical techniques
What are the visionary goals of nanotechnology ?
Goals of nanotechnology
Nanotechnology focuses on
• preparation • analysis • understanding of physical properties and • technological application
of nano- and mesosized objects
Nanoobjects
Layers Rods Particles
z y x x y y 1-d 2-d 3-d
< 100 nm
History of nanotechnology
Ultrathin gold layers ( 100 nm) History of nanotechnology
Technological applications of nanoobjects
Colloidal colours in glases –Optical properties of nanoparticles
History of nanotechnology
Alchemist Kunckel Johann Kunckel, der am sächsischen Hof diente und sich in der europäischen Glaskunst auskannte, wurde vom Großen Kurfürsten um 1678 nach Brandenburg gerufen. Der wollte nicht nur die Folgen des Dreißigjährigen Krieges mindern, sondern auch günstig zu hochwertigem Glas kommen. Die wichtigsten Rohstoffe wie Holz und Quarzsande waren in der Mark reichlich vorhanden. Unter dem Vorwand des ungestörten Experimentierens wurde Kunckel auf der heutigen Pfaueninsel isoliert. Nicht zuletzt durch seine Arbeit an der Verbesserung des Rubinglases erlangten seine Produkte den Status luxuriöser Exportartikel.
1682 History of nanotechnology
Alchemist Kunckel
Da ihm aber bald auch dort das Gehalt nicht mehr gezahlt wurde, geriet er in wirtschaftliche Schwierigkeiten und er beschwerte sich in Dresden. Die Antwort der kurfürstlichen Minister lautete: “Kann Kunckel Gold machen, so bedarf er kein Geld, kann er solches aber nicht, warum solle man ihm Geld geben?”
1682 History of nanotechnology Die herrliche rote Farbe der kolloiden Goldlösung hat die Technik schon seit vielen Jahrhunderten im Goldrubinglas benutzt, das, wie Zsigmondy und Siedentopf mit Hilfe des Ultramikroskops bewiesen haben, feste Teilchen metallischen Goldes als färbende Substanz enthält (im Ultramikroskop erscheinen diese Goldteilchen als grünglänzende Scheibchen). Man stellt das echte Rubinglas her, indem man zur Glasmasse Chlorgold zufügt. Bei rascherem Abkühlen erhalt man ein farb- loses Glas; erhitzt man von neuem, bis das Glas erweicht, so läuft es plötzlich prachtvoll rubinrot an. Schlechtes Rubinglas dagegen wird beim Wiedererhitzen blau, violett und rosa; das Ultramikroskop zeigt hier viel hellere und viel weiter voneinander entfernte Teilchen, die im blauen Glase kupferrot, im violetten Glase gelb und dort, wo das Glas rosa ist, grün glänzen. Die Bedeutung der Kolloide für die Technik K. Arndt in Kolloid Zeitschrift S. 1 (1909) History of nanotechnology
Justus Liebig: 1843 Preparation of silver mirrors
Michael Farady: 1856 Preparation of ultrathin layers
Observation of red „gold solutions“ as by product
History of nanotechnology
Preparation of nanoobjects
Faraday sols – 1864 Nanoparticle preparation History of nanotechnology
Preparation of nanoobjects
reduction (III) 0 HAu Cl4 Au Citrate Ascobic acid ~5 nm
Faraday sols – 1864 Nanoparticle preparation 20 nm History of nanotechnology
Analysis of nanoobjects
Scattered light
Nanoparticles
Zsigmondy Ultramicroscope – 1900 Single particle observation History of nanotechnology
Faraday’s „solutions“ are no real solutions (Tyndal Faraday effect)
History of nanotechnology
Physical properties of nanoobjects
Zsigmondy 1905 History of nanotechnology
Physical properties of nanoobjects
Einstein - Smoluchowski – 1905 Diffusion of nanoparticles History of nanotechnology
Physical properties of nanoobjects
Diffusion
Einstein - Smoluchowki – 1905 Diffusion of nanoparticles Making money with nanotechnology
Au 1 Oz : 400 €
Au Sol particles (6 nm) : 25 ml , 0.01 % HAuCl4 : 92 € Au 1 Oz : ...... Polymers and nanotechnology
Macromolecules are Nanoobjects
Nanoobjects are not necessarily Macromolecules
Macromolecules
Small Organic Molecules Metallic Clusters
Carbon Nanostructures (Fullerenes, Carbon Nanotubes)
Preparation of Nanostructures
Top Up
Lithography Self assembly
Down Bottom up
Science Fiction ? Lets build a small world Complex structures of a small world
/ 10 7 / 10 8
Polymers and nanotechnology
Conformation and size of single macromolcules
Freely jointed chain (Frei drehbare Kette):
(Valenzwinkelkette)
(Valenzwinkelkette mit gehinderter Rotation)
Mesophases of amphiphilic molecules
A. Mueller, D. O‘Brien, Chem. Rev. 2002, 102, 727
Colloidal particles and their assembly Colloidosomes
A. D. Dinsmore, et al. Science 298, 1006 (2002) Micro- and nanostructures through lithographic approaches
L. Jay Guo,*,† Xing Cheng,† and Chia-Fu Chou*,‡ NANO LETTERS 2004 Vol. 4, No. 1 69-73 Polymers and nanotechnology Single colloidal objects
Softmatter Hard material
5 nm – 20 nm 1 nm – 100 nm
Polymer Polymer Nanoparticle Carbon rod coil nanotube
Size and shape of objects can change are fixed Biopolymer Nanoobjects
Integration of single molecular motors into man-made microstructures
24.01.11 30 Montemagno et. al., Science 290 (2000) 155 Polymers and nanotechnology
Conformation and size of single macromolcules
End-to-end distance (Fadenendenabstand)
Radius of gyration (Trägheitsabstand)
Persistence length (Persistenzlänge)
Polymers and nanotechnology Assemblies of nanoobjects
Ion channels
Functionallity
Self assembly can change are fixed Polymers in micro- and nanotechnology
What are the technologies used in micro- and nanosciences?
• Structuring technologies • Analytical techniques
What is the biological input to micro- and nanotechnology?
• Biomimetic strategies • Biophysical techniques
What are the visionary goals of nanotechnology ?
What can be the positive and negative input on society ? Micro- and nanostructures through self-assembly
Hui Zhang and Mary J. Wirth* Anal. Chem.2005, 77,1237-1242 Micro- and nanostructures through self-assembly
Micro- and nanostructures through lithographic approaches
L. Jay Guo,*,† Xing Cheng,† and Chia-Fu Chou*,‡ NANO LETTERS 2004 Vol. 4, No. 1 69-73 Micro- and nanostructures through self-assembly
Guillaume Tresset† and Shoji Takeuchi*,‡ Anal. Chem.2005, 77,2795-2801
Cell encapsulation in microdroplets
Mingyan He, J. Scott Edgar, Gavin D. M. Jeffries, Robert M. Lorenz, J. Patrick Shelby, and Daniel T. Chiu* Anal. Chem.2005, 77,1539-1544 Micro- and nanotechnology as multidisciplinary fields
Physics Chemistry
Engineering Molecular- / Cell- sciences Biology
Micro- and nanotechnology as multidisciplinary fields
Physics
Fundamentals for structuring technologies
Short wavelength radiation from synchrotons Micro- and nanotechnology as multidisciplinary fields
Physics
Fundamentals for structuring technologies
Optical tweezers Dip pen lithography Micro- and nanotechnology as multidisciplinary fields
Physics
Understanding physical effects on the meso- and nanoscale
Measuring single molecule mechanical properties Micro- and nanotechnology as multidisciplinary fields
Physics
Single molecule physics
Moving single molecules Micro- and nanotechnology as multidisciplinary fields
Physics
Fundamentals for new analytical techniques
SXM (AFM) SXM (SNOM) Micro- and nanotechnology as multidisciplinary fields
Chemistry
Materials for new structuring technologies
Extreme UV resists for 157 nm irradiation
Micro- and nanotechnology as multidisciplinary fields
Chemistry
Materials for new structuring technologies
Control of mesostructure by polymer design
Micro- and nanotechnology as multidisciplinary fields
Chemistry
Chemical tuning of surfaces
Control of Wettability Spatial control of Reactivity
Micro- and nanotechnology as multidisciplinary fields
Chemistry
Design of complex structures (for new high tech applications)
Micro- and nanotechnology as multidisciplinary fields
Chemistry
Design of complex structures (for new high tech applications)
Photonic crystals and foams Colloidal particles and their assembly Colloidosomes
Schematic illustration of the self-assembly process for colloidosomes. (A) Aqueous solution is added to oil containing colloidal particles. Aqueous droplets are formed by gentle continuous shearing for several seconds. (B) Particles adsorb onto the surface of the droplet to reduce the total surface energy. These particles are subsequently locked together by addition of polycations, by van der Waals forces, or by sintering the particles. (C) The structure is transferred to water by centrifugation. The same approach is used to encapsulate oil droplets with a shell of particles from an exterior water phase. Particles adsorbed because of the large oil-water surface energy, which is substantially larger than the difference between the particle-oil and particle-water surface energies; this differs substantially from previous reports, where colloidal particles were adsorbed electrostatically onto oil droplets, which required prior treatment of the droplet’s surface
A. D. Dinsmore, et al. Science 298, 1006 (2002) Colloidal particles and their assembly Colloidosomes
A. D. Dinsmore, et al. Science 298, 1006 (2002) Micro- and nanotechnology as multidisciplinary fields
Chemistry
Nature as lecturer – Biomimetic approach
Micro- and nanostructures through self-assembly
Diatomes – self assembled complex structures
Micro- and nanotechnology as multidisciplinary fields
Molecular- / Cell- Biology
Nature as lecturer – The cell as microsystem with nanofunctional units
Micro- and nanotechnology as multidisciplinary fields
Molecular- / Cell- Biology
Nature as lecturer – Molecular motors in biology (translation & rotation)
Micro- and nanotechnology as multidisciplinary fields
Engineering sciences
Man-machine interfacing Integrating biological function into microsystems
Neuron attached to a microchip (MPI Martinsried- Munich) Micro- and nanotechnology as multidisciplinary fields
Engineering sciences
Creating new microproduction technology
Micro- and nanotechnology as multidisciplinary fields
Engineering sciences
Creating new microdevice technology
Monolitic fabrication:
Integration of different functional units Without assembly process
Microfluidics
2‘ nd lecture 09.11.2009
Lithographical Methods Physical Principles Technologies Materials
Polymers in micro- and nanotechnology
2d structures 3d structures Lateral structures
DNA Chip Microfluidic channel
2d structures 3d structures Lateral structures D
D
D D: lateral resolution D: lateral resolution H: height
Aspect ratio α
α = H/D
Top down technologies for micro-/nanostructure preparation
100 µm 10 µm 1 µm 100 nm 10 nm 1 nm
Sub-micrometer
Optical Lithography
Softlithography
Ebeam Lithography
AFM based Lithography
Top down technologies for micro-/nanostructure preparation
2d,3d Electronbeam & Optical, X-ray Lithography,
2d,3d Soft-Lithography
2d AFM based Lithography (dip pen, SNOM,..)
Ebeam and optical lithography
Substrate
Resist layer
Irradiation
Resist layer Positive resist Negative resist (becomes soluble upon irradiation) (becomes insoluble upon irradiation)
Pattern transfer
Film formation by spin coating
Substrate
Resist layer
Inhomogeneous thickness of resist layer and time evolution of layer thickness Film formation by spin coating
Process and materials parameter influencing film thickness
• Solution viscosity • Solid content • Angular speed • Spin Time
Wetting of (polymer) solutions on solid substrates
ω ~ 0 deg. Spreading
0 < ω < 90 deg. Wetting
ω > 90 deg. Non-wetting
Wetting and dewetting of thin polymer (liquid films) on solid substrates
Stability of thin films on surfaces
1) Stable film , 2) Unstable film 3) Metastable film Φ effective interface potential
R. Seemann, S. Herminghaus, and K. Jacobs, PRL 86 (2001) 5534 Stability of thin films on surfaces
R. Seemann, S. Herminghaus, and K. Jacobs, PRL 86 (2001) 5534 Stability of thin films on surfaces
h Polymerfilm d SiO Si h: thickness of polymer film d: Thickness of SiO layer
R. Seemann, S. Herminghaus, and K. Jacobs, PRL 86 (2001) 5534 Stability of thin films on surfaces on variable SiO interface
R. Seemann, S. Herminghaus, and K. Jacobs, PRL 86 (2001) 5534 Wetting and partial wetting on surfaces
G. Reiter et. Al. Langmuir 15 (1999) 2551 25.10.2010
Optical lithography
Thick layer resist technology : High aspect ratios
Optical lithography
Thick layer resist technology : High aspect ratios
I(d)
H
I(d) = I * exp- ε * d
Inhomogeneous irradiation of polymer due to strong optical absorption (H > 100 µm)
Optical lithography
Thick layer resist technology : Thick layer resist systems (SU-8)
Optical lithography
Chemically amplified negative resist
T-BOC cleavage
Acid catalyst negative resist
Alkaline development
Optical lithography
Chemically amplified negative resist
T-BOC cleavage
Acid catalyst negative resist
Alkaline development
3‘ rd lecture 25.10.2010
Optical lithography Light sources and structure resolution
Hg KrF ArF F2
365 248 193 157 nm nm nm nm
Optical lithography Lenses for KrF laser sources (248 nm)
Structure resolution <180 nm
Lense Material Calziumfluorid
Optical Transmission high above 170 nm
No birefringence
Optical lithography Lenses for ArF laser sources (198 nm)
Increasing na to ~ 1.3
Structure resolution 80 nm
Optical lithography Resist for 157 nm VUV Lithography
Optical lithography Resist for 157 nm VUV Lithography
Optical lithography Two-photon lithography for complex 3d structures
Optical lithography Two-photon lithography for complex 3d structures
Optical lithography Two-photon lithography for complex 3d structures
Optical lithography Two-photon lithography for complex 3d structures
Optical lithography Quantum dots as 2 photon initiators
2 hν
Cd o ( ) S o o o
N.C. Strandwitz JACS 2008, 130(26), 8280-8288
Optical lithography in aqueous solutions
Jhaveri, et. al. Chem. Mater. 2009, 21 (10), 2004 ff. Optical lithography 2 Photon photoabsorption
Optical lithography of complex 3d microstructures Multiphoton fabrication of chemically responsive protein hydrogels for microactuation Bryan Kaehr and Jason B. Shear , PNAS 105 (2008) , 8850 ff.
Dynamic cell enclosures
Optical lithography of complex 3d microstructures Multiphoton fabrication of chemically responsive protein hydrogels Bryan Kaehr et. al. , PNAS 101 (2004) , 16104 ff.
Guiding neurons by crosslinked BSA
Optical lithography in aqueous solutions
Jhaveri, et. al. Chem. Mater. 2009, 21 (10), 2004 ff. Maskless optical lithography - A simple setup
100 µm lines 500 µm pitch
Musgraves et. al. Am. J. Phys. 2005, 73 (10), 980 ff. Maskless optical lithography – 3d stereolithography
Sun et. al. Sensors and Actuators A 121, 2005, 113 ff. Maskless optical lithography – 3d stereolithography
Choi et. al. J. Mat. Process. Tech. 209, 2009, 5494 ff. Maskless optical lithography – 3d stereolithography
Kidney scaffold
Choi et. al. J. Mat. Process. Tech. 209, 2009, 5494 ff. DMD chip element
Monk et. al. Microelectronic Eng., 27, 1995, 489 ff. Optical lithography in microfluidic systems
Lee et. al. Lab Chip 9, 2009, 1670 ff. Optical lithography in microfluidic systems
Chung et. al. Nature Materials 7, 2008, 581 ff. Optical lithography in µ-fluidic systems – Particle assembly
Chung et. al. Nature Materials 7, 2008, 581 ff. Multi-LED array
Grossmann et. al. J. Neural Eng., 11, 2010, 016004 ff. Multi-LED array
Local stimulation of nerve cells
Grossmann et. al. J. Neural Eng., 11, 2010, 016004 ff. Ebeam lithography Penetration depth of electrons with different energies in different materials
Ebeam lithography Penetration depth of electrons with different energies
Ebeam lithography Resolution down to 8 nm (A. Tilke LMU München) – Resist: Calixarene
Ebeam lithography Chemical structure of Calixarene
Ebeam lithography SCALPEL Technique
Ebeam lithography SCALPEL Technique
Synchroton lithography / Synchroton X-rays
Synchroton lithography X-rays
Synchroton lithography / LIGA X-rays
Synchroton lithography / Mask production X-rays
Polymer embossing
Embossing machine Process steps (Jenoptik) Cycle time ~ 7 minutes
Heating of substrate and tools above Tg
Application of pressure (~ kN)
Cooling of substrate and embossing tool below Tg
Removal of tool
Polymer embossing
Silicon master embossing tool Polymer replica made by embossing
Polymer microysystems
Lensarrays Beam splitter
Microdropdeposition
Polydimethylsiloxane (PDMS) - The material
- Me : - CH3
Pt Curing
Crosslinking Linear flexible polymer Flexible crosslinked (liquid @RT) Rubber ( @RT)
Polydimethylsiloxane (PDMS) - The material
Chemical crosslinking by hydrosilylation
Schmid,H. Macromolecules 33, 3042 (2000) Polydimethylsiloxane (PDMS) - The material
Chemical modification by hydrosilylation
(-O-CH2-CH2)- EO
Hydrophilic
Polydimethylsiloxane (PDMS) - The material
Jessamine Ng Lee, Cheolmin Park,† and George M. Whitesides*
Anal. Chem.2003, 75,6544-6554 Polydimethylsiloxane (PDMS) - The material T.R.E. Simpsona, Z. Tabatabaianb, C. Jeynesb, B. Parbhooc, and J.L. Keddiea*
Polydimethylsiloxane (PDMS) - The material Hydrophilization by surface plasma treatment
O. Steinbock, Langmuir 19, 8117 (2003)
Liquid filling of a capillary by Surface interactions
S. Stark,Microelectronic Eng. 67/68, 229 (2003)
Liquid filling of a capillary by Surface interactions
S. Stark,Microelectronic Eng. 67/68, 229 (2003)
Polydimethylsiloxane (PDMS) - The material Hydrophilization by surface plasma treatment
O. Steinbock, Langmuir 19, 8117 (2003)
Polydimethylsiloxane (PDMS) - The material Hydrophilization by surface plasma treatment
Hydrophobic recovery measured by surcface force AFM
M. Meincken, T.A. Berhane, P.E. Mallon, Polymer 46 (2005) 203–208 Polydimethylsiloxane (PDMS) - The material
Compression mold 2 N/mm2
Compression mold 9.7 N/mm2 Schmid,H. Macromolecules 33, 3042 (2000) Permeation induced flow in PDMS channels
P. Silberzan, Europhys. Letters 68, 412 (2004)
Permeation induced flow in PDMS channels
P. Silberzan, Europhys. Letters 68, 412 (2004)
Permeation induced flow in PDMS channels
P. Silberzan, Europhys. Letters 68, 412 (2004)
TIRF measurement of particle velocity near surfaces
K.Breuer 2003 ASME International Mechanical Engineering Congress & Exposition Washington, D.C., November 16-21, 2003
TIRF measurement of particle velocity near surfaces
K.Breuer 2003 ASME International Mechanical Engineering Congress & Exposition Washington, D.C., November 16-21, 2003
Unconventional lithographic techniques
Unconventional lithographic techniques
Softlithographic techniques
Se-Jin Choi,† Pil J. Yoo,‡ Seung J. Baek,† Tae W. Kim,† and Hong H. Lee*,‡ J. AM. CHEM. SOC. 2004, 126, 7744-7745 Softlithographic techniques
UV induced radical polymerisation of polyurethaneacrylates
Se-Jin Choi,† Pil J. Yoo,‡ Seung J. Baek,† Tae W. Kim,† and Hong H. Lee*,‡ J. AM. CHEM. SOC. 2004, 126, 7744-7745 Softlithographic techniques
Se-Jin Choi,† Pil J. Yoo,‡ Seung J. Baek,† Tae W. Kim,† and Hong H. Lee*,‡ J. AM. CHEM. SOC. 2004, 126, 7744-7745 Softlithographic techniques
Se-Jin Choi,† Pil J. Yoo,‡ Seung J. Baek,† Tae W. Kim,† and Hong H. Lee*,‡ J. AM. CHEM. SOC. 2004, 126, 7744-7745 Rigiflex lithography
Se-Jin Choi,† Pil J. Yoo,‡ Seung J. Baek,† Tae W. Kim,† and Hong H. Lee*,‡ J. AM. CHEM. SOC. 2004, 126, 7744-7745 Rigiflex lithography
Se-Jin Choi,† Pil J. Yoo,‡ Seung J. Baek,† Tae W. Kim,† and Hong H. Lee*,‡ J. AM. CHEM. SOC. 2004, 126, 7744-7745 Softlithographic techniques
Zentel , Advanced Materials 14, 588 (2002)
Softlithographic techniques Polymerisable conducting polymer
Zentel , Advanced Materials 14, 588 (2002)
PDMS based complex microfluidic systems
Multilayer µ-fluidic systems a) Fluidic transport layer b) Control layer
S. Quake,Science 298, 580 (2002)
Complex shaped 3d nanoparticles
Larken E. Euliss, Julie A. DuPont, Stephanie Gratton and Joseph DeSimone Chem. Soc. Rev., 2006, 35, 1095–1104 S.E.A. Gratton et al. / Journal of Controlled Release 121 (2007) 10–18 Complex shaped 3d nanoparticles
Larken E. Euliss, Julie A. DuPont, Stephanie Gratton and Joseph DeSimone Chem. Soc. Rev., 2006, 35, 1095–1104 S.E.A. Gratton et al. / Journal of Controlled Release 121 (2007) 10–18 Complex shaped 3d nanoparticles
Complex shaped 3d nanoparticles
Jason P. Rolland,† Benjamin W. Maynor,† Larken E. Euliss,† Ansley E. Exner,† Ginger M. Denison,† and Joseph M. DeSimone J. AM. CHEM. SOC. 9 VOL. 127, NO. 28, 2005 10099 Complex shaped 3d nanoparticles
Larken E. Euliss, Julie A. DuPont, Stephanie Gratton and Joseph DeSimone Chem. Soc. Rev., 2006, 35, 1095–1104
Polymers in micro- and nanotechnology
2d structures 3d structures Lateral structures
DNA Chip Microfluidic channel
„Surface Engineering“
Au, Cu, Ag HS-R
Al2O3 (OH)3-P-O-R
SiO 2 X3Si-O-R
Tailored Surface Chemistry „Surface Engineering“
Surface Polymerized Polypeptides
Poly-γ-benzylglutamate
Orientational Change of α-Helix by solvent Resulting change in layer thickness Poly-γ-benzylglutamate
Orientational Change of α-Helix by solvent Resulting change in layer thickness
„Surface Engineering“
Surface Patterning Surface patterning
Microcontact Printing (Whitesides) 1 µm Electron Beam Lithography of Self-Assembled Monolayers (Craighead) Dip-Pen Lithography 1 nm of Self-Assembled Monolayers (C.A. Mirkin)
Micro-contact printing
Polymer stamp (PDMS)
Siliconmicrostructure or PMMA resist
Micro-contact printing
Polymer stamp (PDMS)
„Ink“
Micro-contact printing
Polymer stamp (PDMS)
„Ink“
Micro-contact printing of solutions
M. Wang, H.-G. Braun, T. Kratzmüller, E. Meyer, Adv. Mater. 13, 1312 (2000) Micro-contact printing of solutions
M. Wang, H.-G. Braun, T. Kratzmüller, E. Meyer, Adv. Mater. 13, 1312 (2000) Micro-contact printing of dispersions
M.M. Sung,Lee B. Chem. Mater. 2007 Micro-contact printing of dispersions
Colloidal particles on the mask M.M. Sung,Lee B. Chem. Mater. 2007 Micro-contact printing of dispersions
Colloidal particles transfered to a surface by micro-contact printing (The particles are chemically attached to the surface) M.M. Sung,Lee B. Chem. Mater. 2007