136 Microsc. Microanal. 27 (Suppl 1), 2021
doi:10.1017/S1431927621001100 © Microscopy Society of America 2021
Advances in Momentum Resolved EELS
Benjamin Plotkin-Swing
1
, George Corbin
2
, Niklas Dellby
1
, Nils Johnson
3
, Petr Hrncrik
3
, Chris Meyer
4
,
Andreas Mittelberger
1
, Dylan Taylor
3
, Ondrej Krivanek
1
and Tracy Lovejoy
1
1
Nion R&D, 11511 NE 118th St, Kirkland, WA, 98034, USA, United States,
2
Nion Co., Kirkland,
Washington, United States,
3
Nion Co., United States,
4
Nion R&D, 11511 NE 118th St, Kirkland, WA,
98034, USA, Washington, United States
Vibrational modes affect conduction of heat and sound in solids, and are altered by local structure such as
defects and interfaces. Angle Resolved Electron Energy Loss Spectroscopy (AR-EELS) within the
Scanning Transmission Electron Microscope (STEM) provides a way to probe the four dimensional
phonon band dispersion relation, S(qx, qy, qz, ω), with nanometer spatial resolution [1]. The technique has
benefited from significant advances in recent years, including increased efficiency by parallel acquisition
using slot-shaped spectrometer entrance apertures and the introduction of low-noise high dynamic range
direct detectors for EELS [2]. Together with high-brightness electron sources, brightness-preserving
monochromators, and next-generation spectrometers, these improvements have reduced the acquisition
time for phonon band dispersion diagrams from hours [3] to minutes [2]. Even with these advances,
phonon band structure measurement in the STEM has been limited to ideal systems containing light
elements with Z=5-7 (e.g. boron nitride, or carbon), where the phonon structure spans roughly 0-200 meV
energy loss. Phonon band structures in materials with heavier atoms, where the energy range can be
significantly smaller, have been elusive until now.
Figure 1 shows a phonon band dispersion diagram acquired from silicon with probe size ~5 nm, the
diffraction limit with 1 mrad illumination half-angle at 30kV. The full width of the pattern is about 65
meV. The transverse acoustic (TA) phonon branch, which rises from the energy origin at the Γ point to
about 14 meV at the L point, is clearly resolved. The dispersion of the longitudinal acoustic (LA) phonon
branch from 0 to ~54 meV is visible. At the L point, the splitting of the longitudinal optical (LO, ~62meV)
and transverse optical (TO, ~54 meV) appears as a wide band at this energy resolution. A less intense
reflection of the pattern is just visible on the gain side, showing that room temperature (kT ~25meV)
thermal excitation of energy gain is significant on this energy scale.
Similar to previous reports [2], the projector lenses were used to rotate and scale the diffraction pattern
from the ~70nm thick Si[110] oriented sample such that a rectangular spectrometer entrance aperture ,
2mm x 125um, spanned the [000] and [-111] diffraction spots (i.e the Γ-L direction in the silicon Brillouin
zone). The total acquisition time was ~13 min. The energy resolution in these conditions was about 8meV
full-width-at-half-maximum for the zero loss peak (ZLP), and the current was ~2pA. High angular
resolution at high current introduces significant and competing demands on the instrumentation, which
tend to degrade the energy resolution. Under typical operating conditions with the Nion UHERMES
system used here, 5 meV energy resolution at 30kV is routine.
Resolving the phonon band dispersion diagram in a variety of materials in the STEM is the first step
toward a larger goal of resolving the effect of local structure on vibrational modes [4]. Adding spatial
dimensions to the acquisition places additional demands on the system, especially increasing the current
so that the signal can be collected in a reasonable time without compromising the energy resolution too
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