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Solid State Solutions, Phase Diagrams, and

Phase Transitions

Matt Highland

Synthesis away from equilibrium

Metastable Materials

Reactive Synthesis

Second Workshop on Photocathodes: 300nm-500nm

June 29-30 at the University of Chicago

Synthesis away from Equilibrium

Typical thermodynamics gives us guide posts on synthesis near equilibrium

Engineering materials with specific properties often requires synthesis away from equilibrium

“Metastable” materials that demand non-equilibrium and kinetically controlled synthesis path ways

Metastable synthesis requires additional stabilization during growth:

Strain Epitaxy Energetic ions Sputtering Chemical Activity Reactive Synthesis

SrRuO

3 and Co

3

O

4

2

Reactive Synthesis of Metastable Materials

Reactive synthesis utilizes activity of chemical precursors to stabilize desired phases

Practical example: (In,Ga)N solid solutions

Band-gap tunable across solar spectrum by varying solid solution content

LEDs for solid state lighting

3

InGaN: The promise and truth

The promise

• Solid-state lighting has the potential reduce U.S. energy consumption from 3.1 to 2.1 petawatt-hours/year *

• Roughly the output of 250 coal fired power plants

The truth

• External quantum efficiency drops as InN content increases

• Driven by problems with crystal quality and the metastable nature of InN

High-power (>1 Watt input) visible-spectrum

LEDs

70%

60%

50%

In x

Ga

1-x

N

(Al x

Ga

1-x

)

0.52

In

0.48

P

V( l

)

V( l

)

40%

30%

20%

10%

0%

350

Tj =

25

C

450 550

Peak Wavelength (nm)

Peak wavelength, l p

(nm)

650

*“Energy Savings Potential of Solid State

Lighting in General Illumination Applications”, http://www.netl.doe.gov/ssl



The Fundamental Problem

At desirable growth temperatures required nitrogen activity is equivalent to kilobars (~10 4 psi) of

N

2

During MOCVD growth nitrogen activity provided by cracking ammonia

 

3

NH

3

InN

3

CH

4

Reaction we want to avoid:

InN

In

1 2 N

2



Ambacher et al., JVST B 14 , 3532 (1996)

5 5



Intermediate Chemical Species

We know the overall reaction desired for growth

 

3

NH

3

InN

3

CH

4

However what are the intermediate chemical species that drive this growth

?

• All we know is the precursors crack somehow interact

 

3

NH

3

In

?

?

NH

X

?

H

2



6 6

Attacking a Problem on Multiply Fronts

We’re employing multiply in-situ probes and computational techniques to understand the details of reactive synthesis

In-situ IR spectroscopy

In-situ X-ray Analysis

Theory & modeling

7 7

Probing the Growth Environment

Synchrotron x-rays are capable to penetrating the MOCVD environment and yield structural and elemental details in real time

• In-situ MOCVD reactor at sector 12ID-D of the

Advanced Photon Source

Diffraction from GaN surfaces and InN crystals

X-ray Fluorescence from deposited Indium

Scattering

Detector

Movie camera

Measurements reveal a very complex growth behavior

Fluorescence

Detector

Visible illumination

Synchrotron x-rays

8

8 8

In-InN Phase Boundaries

By monitoring InN and In liquid formation we can map out an indium condensation phase diagram

Upon increasing TMI flow

• At higher temp, elemental In liquid condenses

• At lower T, relaxed InN solid particles grow

In liquid droplets

Bare GaN surface pNH

3

= 27 Torr

InN crystals

F. Jiang, et al. PRL 101, 086102 (2008)

Oscillatory Growth and Decomposition

Near phase boundaries system can spontaneously oscillate

• Inter-conversion between InN and liquid In

AFM of quenched samples shows microstructure of distinct surface species

Epitaxial InN islands Elemental In droplets

F. Jiang, et al. PRL 101, 086102 (2008)

10

Chemical Wave Patterns

Spatial variation between

InN and In can be resolved optically

• Dark regions: InN

• White regions: In liquid

Waves of InN or In liquid

• Sweep across the sample

• Form concentric rings

• Spiral patterns

F. Jiang, et al. PRL 101, 086102 (2008)

What Drives the Oscillatory Behavior ?

The key to this complex growth behavior is local nitrogen activity

NH

3 impinges on the hot sample surface, cracks and forms some highly active chemical species (NH x

)

These active species either interact with In and form InN or react to

‣ eventually form N

2 and leave the surface.

The efficiency with which NH

3 is cracked and the residence time of the intermediate species determines which material grows

Oscillatory Growth Mechanism

NH

3 cracks on the GaN of InN surface and forms the intermediate species that allow InN to grow

Critical amount of liquid In metal condenses which accelerates conversion of NH

3 to N

2 and InN starts to decompose

Liquid In metal evaporates to expose

GaN surface and InN growth starts again

Intermediate Chemical Species

The local intermediate chemical species dictate growth behavior

Different surfaces catalytically crack NH residence time of intermediate species

3 differently and possibly change

If we can understand which intermediate species enable InN growth, then we can better stabilize and encourage its formation

What are the intermediate nitrogen species?

• First principle calculations

• Additional in-situ probes

First-principle Calculations

We can calculate the lowest energy configurations of NH

3 a GaN and InN surface

, NH

2

, NH, N, and H on

We can then create a phase diagram predicting the equilibrium coverage species for given conditions

• “We” = Peter Zapol, Weronika Walkosz, and Xin

Tan

(2x2) surface unit cell

- 4 H3 “hollow” sites

- 4 T1 “on top” Ga sites

- 4 T4 “on top” N sites

- 12 br “bridge” site fixed

Predicted Phase Diagram

Lowest energy surface species differ depending temperature and nitrogen activity

One of these configuration maybe be what enable InN growth

Can we find these phases experimentally ?

Predicted structures on GaN surface

N-rich Ga-rich

W. Walkosz, et al. PRB 85, 033308 (2012)

Surface and Crystal Truncation Rods

An abrupt crystalline surface in realspace creates an extended rod of scattering in reciprocal space

Scattering that occurs along this Crystal

Truncation Rod (CTR) away from the

Bragg peaks is very sensitive to surface changes

(10L) CTR

(00L) CTR

Predicted CTRs

First Principle can be used to predict

CTRs for each phase

Can we see these changes with in-situ x-rays ?

Predicted structures on GaN surface

W. Walkosz, et al. PRB 85, 033308 (2012) N-rich Ga-rich

Experimentally measured CTRs

With different amounts of NH

3

, N

2

, and H

2 see large changes at anti-Bragg conditions in the sample environment we

Modeling shows that CTR changes are consistent with a number of predicted surface structures

• Uniqueness problem: Modeling generates a number of structures that fit equally well.

Surface studies of GaN at 450 ° C as a function of chemical environment

20L Rod

In-situ Surface Chemistry

How can we get information about the intermediate chemical species on the surface ?

• X-rays are great at looking at the In phases (the heavy stuff), but how about highly reactive surface species (the light stuff)?

Photons of a different length: in-situ Reflection-Absorption IR Spectroscopy

(RAIRS)

• Can distinguish between NH

3

, NH

2

, and NH

• Can penetrate MOCVD environment

RAIRS: Challenges to Overcome

Heater is IR Source

• Solution: Bandpass filtering to mask black body radiation

Surface vs. Gas species

• Solution: Polarize emitted spectrum

• Gas species are isotropic

• Surface species show polarization dependence

Metallic Surface:

• Solution: ZrN

• 10% lattice mismatch to InN

• 0.6% lattice mismatch to GaN

• Stable in MOCVD

Environment

01L rod of ZrN

Future Plans

By combining Reflection-Absorption IR Spectroscopy with grazing incidence surface x-ray scattering we correlate InN structure, surface chemical species, and theoretical surface structure predictions we will understand what are the intermediate chemical process the allow InN to form and grow

In-situ IR spectroscopy

In-situ X-ray Analysis

Theory & modeling

We hope to use this knowledge to design new synthesis pathways and improve the quality of InN and InGaN alloys

Summary

Synthesis of Metastable Materials requires we exploit kinetically limited and non-equilibrium pathways.

We’ve shown that the synthesis of InN with highly reactive chemical species is a complex interplay of surface chemistry and structure

Through a fundamental understanding of these metastable path ways we may be able to push the boundaries of the materials we synthesis and properties we can engineer

Acknowledgment

Edith Perret, Materials Science Division, Argonne National Laboratory

Weronika Walkosz, Chemical Sciences and Engineering Division, Argonne National Laboratory

Xin Tan, Chemical Sciences and Engineering Division, Argonne National Laboratory

Kedar Manandhar , Department of Physics, University of Illinois at Chicago

Paul Fuoss, Materials Science Division, Argonne National Laboratory

Carol Thompson, Department of Physics, Northern Illinois University

Peter Zapol, Chemical Sciences and Engineering Division, Argonne National Laboratory

Stephen Streiffer, Physical Sciences & Engineering, Argonne National Laboratory

Mike Trenary , Department of Physics, University of Illinois at Chicago

Brian Stephenson, Advanced Photon Source, Argonne National Laboratory

Work supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy

Sciences, under contract No. DE-AC02-06CH11357

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