Bài giảng Vật lý điện tử__em-lens | Môn Vật lý điện tử | Trường Đại học Bách Khoa Hà Nội

Bài giảng Vật lý điện tử__em-lens | Môn Vật lý điện tử | Trường Đại học Bách Khoa Hà Nội. Tài liệu gồm 45 trang giúp bạn tham khảo ôn tập đạt kết quả cao trong kỳ thi sắp tới. Mời bạn đọc đón xem.

The Transmission Electron Microscope
Analogous to transmission optical microscopy.
apertures
Also z, tilt, rotation
1 in 10
20
electrons collected <1 in 10
6
photons collected
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Components of TEMs
Source - filament plus anode plates with
applied accelerating voltage.
Condensor Lenses - electromagnetic lenses
adjusted by lens currents not position.
Specimen Stage - allows translations and tilts.
Objective Lens - usually < 50x.
Imaging System multiple electromagnetic
lenses below the objective: set magnification,
focal plane (image vs. diffraction pattern).
Observation - fluorescent screen, plate film or
CCD camera.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
The Scanning Electron Microscope
Uses secondary signals to obtain serial images:
SEMTEM
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Components of SEMs
Scanning Coils - raster the
probe.
Probe Lens - lens forms a
spot at the specimen
surface.
Detector/Processing System
Source and condensor same as for TEM (lower V), but:
-Collects signals (X-rays, electrons etc.) as a
function of time (and thus position since probe
scans with time).
-Gives digital “images” convenient for real-time
viewing, processing, and storage.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Source: Electron Gun
Wehnelt
Cap
Filament
Bias
Heater
Anode
d
o
α
o
Electrons emitted from
filament by thermionic
emission (W or LaB
6
) or
from tip by field emission
(W single crystal).
Accelerated through
potential difference V:
nearly monochromatic
beam of fast electrons.
Focused by grounded
Wehnelt Cap.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Thermionic Emission source
Heat a metal
substantially
(2700K).
Electrons are
excited and
drawn toward
the Anode.
Many electrons
transfer through
a hole in the
anode and down
the beam path.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
(Cold) Field Emission source
Similar basic
design, but now
electrons tunnel
out of a sharp tip
due to strong
electric fields.
Smaller emitting
area so higher
resolution is
possible.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Condensor Lenses
EM lenses focus
light to as small of
a spot as possible,
equivalent to
convex lenses in
optics.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Electron Lenses
Use electrostatic or electromagnetic fields to focus
beams of charged electrons.
Electromagnetic - Most lenses of this type. Cu wire
coils around soft Fe cores. Sometimes use Fe pole-
pieces to “shape” the field.
Diagram in book is not too descriptive
•Electrostatic- Unusual, only common example is
the Wehnelt aperture in the electron gun.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Electrons in magnetic fields
An electron moving through a perpendicular magnetic field
experiences a [different] perpendicular force
“right hand rule”
An electron moving parallel to a magnetic field is unaffected.
An electron moving nearly parallel is slightly deflected out of the
plane, then to the right, then into the plane, then to the left, etc.
Takes helical path around the magnetic field direction (microscope axis).
No Force
nearly
aligned
electron
unaffected
Electron follows
helical path
electron
Magnetic
field
Force on
electron is
out of plane
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Trajectories in Electromagnetic Lenses
When adjusting magnification (and focal length), the lens
strength is modified by adjusting the current in the
electromagnetic lens windings.
Since the magnetic field therefore changes, so do the helical
trajectories.
Ultimately, this leads to image rotation, which needs to be
corrected for, or at least calibrated.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Beam steering
The electron beam can be positioned for fine
measurements (spot modes) or scanning (SEM, STEM)
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Sample stage
Lateral and normal control
Rotation
Tilt in two directions
Also, possibly integrated:
Heaters
Mechanical testing
Electrical testing
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Objective lens
Electromagnetic.
Usually only ~50x.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Objective Aperture
Depending on the aperture position, the bright
field image or the dark field (scattered) image
can be collected.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
STEM (scanning TEM)
By selecting bright or dark field electrons, contrast
varies and provides information about crystallography.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Imaging System (magnification lenses)
Electromagnetic.
Various combinations employed for
increasing magnification.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Electron Wavelengths
Where:
h - Planck’s constant
•m
0
- electron rest mass
e - charge on the electron
V - accelerating voltage (in Volts)
c - speed of light
()
2
00
12 cmeVeVm
h
+
=
λ
V (kV) 5 20 100 200 300 1000
λ (nm)
.017 .008 0.00370 0.00251 0.00197 0.00087
V
or
nm
5.1
=
λ
SEM TEM
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Resolution
As features on the surface separate, they may be resolved.
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
Resolution
Diffraction Limited - Defined by Raleigh criterion:
δ
d
=
0.61
λ
/
µ
sin
α
0.61
λ
/
α
Since λ varies with V, higher voltages give smaller
δ
d
(good)
but at increased cost and beam damage (bummer).
Also,
δ
d
increases as
α
gets smaller.
δ
s
C
s
α
3
Aberration Limited The wavelength is so small that
aberrations become extremely important, particularly
spherical aberration.
Where: C
s
- Spherical aberration coefficient
Smaller α gives smaller
δ
s
(good), but also lower
intensity (bummer).
CuuDuongThanCong.com https://fb.com/tailieudientucntt
cuu duong than cong . com
| 1/45

Preview text:

The Transmission Electron Microscope
Analogous to transmission optical microscopy. apertures Also z, tilt, rotation cuu duong than cong . com
1 in 1020 electrons collected
<1 in 106 photons collected CuuDuongThanCong.com
https://fb.com/tailieudientucntt Components of TEMs
• Source - filament plus anode plates with applied accelerating voltage.
• Condensor Lenses - electromagnetic lenses
adjusted by lens currents not position.
• Specimen Stage - allows translations and tilts.
• Objective Lens - usually < 50x.
• Imaging System – multiple electromagnetic
lenses below the objective: set magnification,
focal plane (image vs. diffraction pattern).
• Observation - fluorescent screen, plate film or cuu duong than cong . com CCD camera. CuuDuongThanCong.com
https://fb.com/tailieudientucntt
The Scanning Electron Microscope
Uses secondary signals to obtain serial images: TEM SEM cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Components of SEMs
Source and condensor same as for TEM (lower V), but:
• Scanning Coils - raster the probe. • Probe Lens - lens forms a spot at the specimen surface. • Detector/Processing System
-Collects signals (X-rays, electrons etc.) as a
function of time (and thus position since probe scans with time).
-Gives digital “images” convenient for real-time cuu duong than cong . com
viewing, processing, and storage. CuuDuongThanCong.com
https://fb.com/tailieudientucntt Source: Electron Gun Electrons emitted from filament by thermionic emission (W or LaB6) or from tip by field emission Heater (W single crystal). Filament Wehnelt Accelerated through Cap potential difference V: Bias nearly monochromatic beam of fast electrons. Focused by grounded do Wehnelt Cap. cuu duong than cong . com Anode αo CuuDuongThanCong.com
https://fb.com/tailieudientucntt Thermionic Emission source • Heat a metal substantially (2700K). • Electrons are excited and drawn toward the Anode. • Many electrons transfer through cuu duong than cong . com a hole in the anode and down the beam path. CuuDuongThanCong.com
https://fb.com/tailieudientucntt (Cold) Field Emission source • Similar basic design, but now electrons tunnel out of a sharp tip due to strong electric fields. • Smaller emitting area so higher resolution is possible. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Condensor Lenses EM lenses focus light to as small of a spot as possible, equivalent to convex lenses in optics. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Electron Lenses
• Use electrostatic or electromagnetic fields to focus beams of charged electrons.
• Electromagnetic - Most lenses of this type. Cu wire
coils around soft Fe cores. Sometimes use Fe pole-
pieces to “shape” the field.
Diagram in book is not too descriptive
• Electrostatic - Unusual, only common example is
the Wehnelt aperture in the electron gun. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Electrons in magnetic fields
• An electron moving through a perpendicular magnetic field
experiences a [different] perpendicular force – “right hand rule”
• An electron moving parallel to a magnetic field is unaffected.
• An electron moving nearly parallel is slightly deflected out of the
plane, then to the right, then into the plane, then to the left, etc.
– Takes helical path around the magnetic field direction (microscope axis). unaffected electron nearly aligned Force on Magnetic electron electron is field out of plane cuu duong than cong . com No Force Electron follows helical path CuuDuongThanCong.com
https://fb.com/tailieudientucntt
Trajectories in Electromagnetic Lenses
• When adjusting magnification (and focal length), the lens
strength is modified by adjusting the current in the
electromagnetic lens windings.
• Since the magnetic field therefore changes, so do the helical trajectories.
• Ultimately, this leads to image rotation, which needs to be
corrected for, or at least calibrated. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Beam steering
• The electron beam can be positioned for fine
measurements (spot modes) or scanning (SEM, STEM) cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Sample stage • Lateral and normal control • Rotation • Tilt in two directions • Also, possibly integrated: – Heaters – Mechanical testing – Electrical testing cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Objective lens • Electromagnetic. • Usually only ~50x. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Objective Aperture
• Depending on the aperture position, the bright
field image or the dark field (scattered) image can be collected. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt STEM (scanning TEM)
• By selecting bright or dark field electrons, contrast
varies and provides information about crystallography. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt
Imaging System (magnification lenses) • Electromagnetic.
• Various combinations employed for increasing magnification. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Electron Wavelengths h λ = . 1 5 or λ = nm 2m eV 1 + eV m c V 0 ( 2 0 ) Where: • h - Planck’s constant • m0 - electron rest mass • e - charge on the electron
• V - accelerating voltage (in Volts) • c - speed of light SEM TEM V (kV) 5 20 100 200 300 1000 cuu duong than cong . com λ (nm) .017 .008
0.00370 0.00251 0.00197 0.00087 CuuDuongThanCong.com
https://fb.com/tailieudientucntt Resolution
• As features on the surface separate, they may be resolved. cuu duong than cong . com CuuDuongThanCong.com
https://fb.com/tailieudientucntt Resolution
Diffraction Limited - Defined by Raleigh criterion:
δ = 0.61λ /µ sin α ≈ 0.61λ /α d
Since λ varies with V, higher voltages give smaller δ (good) d
but at increased cost and beam damage (bummer).
Also, δ increases as α gets smaller. d
Aberration Limited – The wavelength is so small that
aberrations become extremely important, particularly spherical aberration. δ α3 s Cs cuu duong than cong . com
Where: Cs - Spherical aberration coefficient
Smaller α gives smaller δ (good), but also lower s intensity (bummer). CuuDuongThanCong.com
https://fb.com/tailieudientucntt