*AI Summary*
*# Domain Analysis: Experimental Physics & Instrumentation*
*Persona: Senior Research Physicist*
*Target Reviewers:* Experimental Physicists, Vacuum Systems Engineers, and Science Historians.
---
*Abstract:*
This technical assessment recreates the foundational 1897 J.J. Thomson experiment to determine the charge-to-mass ratio ($e/m$) of the electron. The methodology utilizes a cold-cathode vacuum tube accelerated by a high-voltage DC potential (3.2 kV) situated within a uniform magnetic field generated by calibrated Helmholtz coils. By correlating the Lorentz force and centripetal acceleration with the kinetic energy derived from the accelerating potential, a mathematical model for $e/m$ is established. Due to the high energy of the electron beam, the experiment utilizes angular deflection measurements on a phosphorus-coated internal plate to estimate the orbital radius. Quantitative results demonstrate high fidelity to NIST standards, achieving a measured ratio between $1.55 \times 10^{11}$ and $2.16 \times 10^{11}$ C/kg.
---
### *Experimental Summary: Determining the Electron Charge-to-Mass Ratio*
* *0:07 - Historical and Theoretical Objectives:* The project aims to re-verify the $e/m$ ratio, a discovery that historically confirmed the existence of subatomic particles. The experiment relies on the synthesis of Newtonian mechanics and electromagnetism.
* *0:46 - Principles of Electron Manipulation:* Electrons are accelerated through a potential difference ($V$) in a vacuum. Manipulation is achieved via electric or magnetic fields. A magnetic field ($B$) perpendicular to the electron velocity ($v$) exerts a force ($F = evB$).
* *2:07 - Derivation of the Master Equation:* By equating the magnetic Lorentz force to the centripetal force ($mv^2/r$) and integrating the conservation of energy ($eV = 1/2 mv^2$), the ratio is isolated: $e/m = 2V / (B^2 r^2)$.
* *6:00 - Apparatus Specifications:* The system employs Helmholtz coils designed with a radius ($R$) equal to their separation distance to ensure a uniform magnetic field in the center. A vacuum tube is placed at the center of this field.
* *10:21 - Vacuum Tube Mechanics:* Due to the failure of a thermionic emission tube, a cold-cathode tube is utilized. This requires higher potentials (~3,000V) to initiate field emission. Visualization of the beam is achieved by electrons striking a phosphorus-painted internal plate, emitting photons.
* *14:23 - Helmholtz Coil Calibration:* The magnetic flux density ($B$) is verified using a Hall effect sensor and a Gauss meter. The experimental measurement of $7.8 \times 10^{-4}$ Tesla per Ampere aligns with the theoretical equation within a few percentage points of error.
* *21:09 - Data Consistency Checks:* Magnetic field strength is shown to be linear with current (doubling current from 1A to 2A doubles the Tesla reading). Neodymium magnets are used for far-field comparison, showing significantly higher but non-uniform flux density (0.57 Tesla) compared to the coil's uniform field.
* *23:04 - Experimental Deflection Measurement:* The beam is accelerated at 3,200V. Deflection is measured at $\pm 0.5$ Amps of coil current. The beam exhibits an angular deflection of approximately $6.5^\circ$. Observations confirm that increasing voltage (energy) decreases deflection, as predicted by the larger theoretical radius ($r$).
* *27:46 - Quantitative Results and Accuracy:* By converting the $6.5^\circ$ deflection over a 50mm path into an effective radius, the $e/m$ ratio is calculated at approximately $1.75 \times 10^{11}$ C/kg. This result is in direct agreement with the NIST established value.
* *29:52 - Historical Synthesis:* The experiment acknowledges J.J. Thomson’s 1897 discovery of the ratio and Robert Millikan’s subsequent oil-drop experiment (1909). Millikan's determination of the elementary charge ($e \approx 1.6 \times 10^{-19}$ C) allows the calculation of the electron's mass ($m \approx 9.1 \times 10^{-31}$ kg).
* *33:42 - Logistics and Giveaway:* The episode concludes with the announcement of two Siglent SDS1104X HD oscilloscope winners, supported by Patreon and industry donation.
AI-generated summary created with gemini-3-flash-preview for free via RocketRecap-dot-com. (Input: 24,691 tokens, Output: 997 tokens, Est. cost: $0.0153).Below, I will provide input for an example video (comprising of title, description, and transcript, in this order) and the corresponding abstract and summary I expect. Afterward, I will provide a new transcript that I want a summarization in the same format.
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Fluidigm Polaris Part 2- illuminator and camera
mikeselectricstuff
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Fluidigm Polaris part 1 : • Fluidigm Polaris (Part 1) - Biotech g...
Ebay listings: https://www.ebay.co.uk/usr/mikeselect...
Merch https://mikeselectricstuff.creator-sp...
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mikeselectricstuff
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40 Comments
@robertwatsonbath
6 hours ago
Thanks Mike. Ooof! - with the level of bodgery going on around 15:48 I think shame would have made me do a board re spin, out of my own pocket if I had to.
1
Reply
@Muonium1
9 hours ago
The green LED looks different from the others and uses phosphor conversion because of the "green gap" problem where green InGaN emitters suffer efficiency droop at high currents. Phosphide based emitters don't start becoming efficient until around 600nm so also can't be used for high power green emitters. See the paper and plot by Matthias Auf der Maur in his 2015 paper on alloy fluctuations in InGaN as the cause of reduced external quantum efficiency at longer (green) wavelengths.
4
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1 reply
@tafsirnahian669
10 hours ago (edited)
Can this be used as an astrophotography camera?
Reply
mikeselectricstuff
·
1 reply
@mikeselectricstuff
6 hours ago
Yes, but may need a shutter to avoid light during readout
Reply
@2010craggy
11 hours ago
Narrowband filters we use in Astronomy (Astrophotography) are sided- they work best passing light in one direction so I guess the arrows on the filter frames indicate which way round to install them in the filter wheel.
1
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@vitukz
12 hours ago
A mate with Channel @extractions&ire could use it
2
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@RobertGallop
19 hours ago
That LED module says it can go up to 28 amps!!! 21 amps for 100%. You should see what it does at 20 amps!
Reply
@Prophes0r
19 hours ago
I had an "Oh SHIT!" moment when I realized that the weird trapezoidal shape of that light guide was for keystone correction of the light source.
Very clever.
6
Reply
@OneBiOzZ
20 hours ago
given the cost of the CCD you think they could have run another PCB for it
9
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@tekvax01
21 hours ago
$20 thousand dollars per minute of run time!
1
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@tekvax01
22 hours ago
"We spared no expense!" John Hammond Jurassic Park.
*(that's why this thing costs the same as a 50-seat Greyhound Bus coach!)
Reply
@florianf4257
22 hours ago
The smearing on the image could be due to the fact that you don't use a shutter, so you see brighter stripes under bright areas of the image as you still iluminate these pixels while the sensor data ist shifted out towards the top. I experienced this effect back at university with a LN-Cooled CCD for Spectroscopy. The stripes disapeared as soon as you used the shutter instead of disabling it in the open position (but fokussing at 100ms integration time and continuous readout with a focal plane shutter isn't much fun).
12
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mikeselectricstuff
·
1 reply
@mikeselectricstuff
12 hours ago
I didn't think of that, but makes sense
2
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@douro20
22 hours ago (edited)
The red LED reminds me of one from Roithner Lasertechnik. I have a Symbol 2D scanner which uses two very bright LEDs from that company, one red and one red-orange. The red-orange is behind a lens which focuses it into an extremely narrow beam.
1
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@RicoElectrico
23 hours ago
PFG is Pulse Flush Gate according to the datasheet.
Reply
@dcallan812
23 hours ago
Very interesting. 2x
Reply
@littleboot_
1 day ago
Cool interesting device
Reply
@dav1dbone
1 day ago
I've stripped large projectors, looks similar, wonder if some of those castings are a magnesium alloy?
Reply
@kevywevvy8833
1 day ago
ironic that some of those Phlatlight modules are used in some of the cheapest disco lights.
1
Reply
1 reply
@bill6255
1 day ago
Great vid - gets right into subject in title, its packed with information, wraps up quickly. Should get a YT award! imho
3
Reply
@JAKOB1977
1 day ago (edited)
The whole sensor module incl. a 5 grand 50mpix sensor for 49 £.. highest bid atm
Though also a limited CCD sensor, but for the right buyer its a steal at these relative low sums.
Architecture Full Frame CCD (Square Pixels)
Total Number of Pixels 8304 (H) × 6220 (V) = 51.6 Mp
Number of Effective Pixels 8208 (H) × 6164 (V) = 50.5 Mp
Number of Active Pixels 8176 (H) × 6132 (V) = 50.1 Mp
Pixel Size 6.0 m (H) × 6.0 m (V)
Active Image Size 49.1 mm (H) × 36.8 mm (V)
61.3 mm (Diagonal),
645 1.1x Optical Format
Aspect Ratio 4:3
Horizontal Outputs 4
Saturation Signal 40.3 ke−
Output Sensitivity 31 V/e−
Quantum Efficiency
KAF−50100−CAA
KAF−50100−AAA
KAF−50100−ABA (with Lens)
22%, 22%, 16% (Peak R, G, B)
25%
62%
Read Noise (f = 18 MHz) 12.5 e−
Dark Signal (T = 60°C) 42 pA/cm2
Dark Current Doubling Temperature 5.7°C
Dynamic Range (f = 18 MHz) 70.2 dB
Estimated Linear Dynamic Range
(f = 18 MHz)
69.3 dB
Charge Transfer Efficiency
Horizontal
Vertical
0.999995
0.999999
Blooming Protection
(4 ms Exposure Time)
800X Saturation Exposure
Maximum Date Rate 18 MHz
Package Ceramic PGA
Cover Glass MAR Coated, 2 Sides or
Clear Glass
Features
• TRUESENSE Transparent Gate Electrode
for High Sensitivity
• Ultra-High Resolution
• Board Dynamic Range
• Low Noise Architecture
• Large Active Imaging Area
Applications
• Digitization
• Mapping/Aerial
• Photography
• Scientific
Thx for the tear down Mike, always a joy
Reply
@martinalooksatthings
1 day ago
15:49 that is some great bodging on of caps, they really didn't want to respin that PCB huh
8
Reply
@RhythmGamer
1 day ago
Was depressed today and then a new mike video dropped and now I’m genuinely happy to get my tear down fix
1
Reply
@dine9093
1 day ago (edited)
Did you transfrom into Mr Blobby for a moment there?
2
Reply
@NickNorton
1 day ago
Thanks Mike. Your videos are always interesting.
5
Reply
@KeritechElectronics
1 day ago
Heavy optics indeed... Spare no expense, cost no object. Splendid build quality. The CCD is a thing of beauty!
1
Reply
@YSoreil
1 day ago
The pricing on that sensor is about right, I looked in to these many years ago when they were still in production since it's the only large sensor you could actually buy. Really cool to see one in the wild.
2
Reply
@snik2pl
1 day ago
That leds look like from led projector
Reply
@vincei4252
1 day ago
TDI = Time Domain Integration ?
1
Reply
@wolpumba4099
1 day ago (edited)
Maybe the camera should not be illuminated during readout.
From the datasheet of the sensor (Onsemi): saturation 40300 electrons, read noise 12.5 electrons per pixel @ 18MHz (quite bad). quantum efficiency 62% (if it has micro lenses), frame rate 1 Hz. lateral overflow drain to prevent blooming protects against 800x (factor increases linearly with exposure time) saturation exposure (32e6 electrons per pixel at 4ms exposure time), microlens has +/- 20 degree acceptance angle
i guess it would be good for astrophotography
4
Reply
@txm100
1 day ago (edited)
Babe wake up a new mikeselectricstuff has dropped!
9
Reply
@vincei4252
1 day ago
That looks like a finger-lakes filter wheel, however, for astronomy they'd never use such a large stepper.
1
Reply
@MRooodddvvv
1 day ago
yaaaaay ! more overcomplicated optical stuff !
4
Reply
1 reply
@NoPegs
1 day ago
He lives!
11
Reply
1 reply
Transcript
0:00
so I've stripped all the bits of the
0:01
optical system so basically we've got
0:03
the uh the camera
0:05
itself which is mounted on this uh very
0:09
complex
0:10
adjustment thing which obviously to set
0:13
you the various tilt and uh alignment
0:15
stuff then there's two of these massive
0:18
lenses I've taken one of these apart I
0:20
think there's something like about eight
0:22
or nine Optical elements in here these
0:25
don't seem to do a great deal in terms
0:26
of electr magnification they're obiously
0:28
just about getting the image to where it
0:29
uh where it needs to be just so that
0:33
goes like that then this Optical block I
0:36
originally thought this was made of some
0:37
s crazy heavy material but it's just
0:39
really the sum of all these Optical bits
0:41
are just ridiculously heavy those lenses
0:43
are about 4 kilos each and then there's
0:45
this very heavy very solid um piece that
0:47
goes in the middle and this is so this
0:49
is the filter wheel assembly with a
0:51
hilariously oversized steper
0:53
motor driving this wheel with these very
0:57
large narrow band filters so we've got
1:00
various different shades of uh
1:03
filters there five Al together that
1:06
one's actually just showing up a silver
1:07
that's actually a a red but fairly low
1:10
transmission orangey red blue green
1:15
there's an excess cover on this side so
1:16
the filters can be accessed and changed
1:19
without taking anything else apart even
1:21
this is like ridiculous it's like solid
1:23
aluminium this is just basically a cover
1:25
the actual wavelengths of these are um
1:27
488 525 570 630 and 700 NM not sure what
1:32
the suffix on that perhaps that's the uh
1:34
the width of the spectral line say these
1:37
are very narrow band filters most of
1:39
them are you very little light through
1:41
so it's still very tight narrow band to
1:43
match the um fluoresence of the dies
1:45
they're using in the biochemical process
1:48
and obviously to reject the light that's
1:49
being fired at it from that Illuminator
1:51
box and then there's a there's a second
1:53
one of these lenses then the actual sort
1:55
of samples below that so uh very serious
1:58
amount of very uh chunky heavy Optics
2:01
okay let's take a look at this light
2:02
source made by company Lumen Dynamics
2:04
who are now part of
2:06
excelitas self-contained unit power
2:08
connector USB and this which one of the
2:11
Cable Bundle said was a TTL interface
2:14
USB wasn't used in uh the fluid
2:17
application output here and I think this
2:19
is an input for um light feedback I
2:21
don't if it's regulated or just a measur
2:23
measurement facility and the uh fiber
2:27
assembly
2:29
Square Inlet there and then there's two
2:32
outputs which have uh lens assemblies
2:35
and this small one which goes back into
2:37
that small Port just Loops out of here
2:40
straight back in So on this side we've
2:42
got the electronics which look pretty
2:44
straightforward we've got a bit of power
2:45
supply stuff over here and we've got
2:48
separate drivers for each wavelength now
2:50
interesting this is clearly been very
2:52
specifically made for this application
2:54
you I was half expecting like say some
2:56
generic drivers that could be used for a
2:58
number of different things but actually
3:00
literally specified the exact wavelength
3:02
on the PCB there is provision here for
3:04
385 NM which isn't populated but this is
3:07
clearly been designed very specifically
3:09
so these four drivers look the same but
3:10
then there's two higher power ones for
3:12
575 and
3:14
520 a slightly bigger heat sink on this
3:16
575 section there a p 24 which is
3:20
providing USB interface USB isolator the
3:23
USB interface just presents as a comport
3:26
I did have a quick look but I didn't
3:27
actually get anything sensible um I did
3:29
dump the Pi code out and there's a few
3:31
you a few sort of commands that you
3:32
could see in text but I didn't actually
3:34
manage to get it working properly I
3:36
found some software for related version
3:38
but it didn't seem to want to talk to it
3:39
but um I say that wasn't used for the
3:41
original application it might be quite
3:42
interesting to get try and get the Run
3:44
hours count out of it and the TTL
3:46
interface looks fairly straightforward
3:48
we've got positions for six opto
3:50
isolators but only five five are
3:52
installed so that corresponds with the
3:54
unused thing so I think this hopefully
3:56
should be as simple as just providing a
3:57
ttrl signal for each color to uh enable
4:00
it a big heat sink here which is there I
4:03
think there's like a big S of metal
4:04
plate through the middle of this that
4:05
all the leads are mounted on the other
4:07
side so this is heat sinking it with a
4:09
air flow from a uh just a fan in here
4:13
obviously don't have the air flow
4:14
anywhere near the Optics so conduction
4:17
cool through to this plate that's then
4:18
uh air cooled got some pots which are
4:21
presumably power
4:22
adjustments okay let's take a look at
4:24
the other side which is uh much more
4:27
interesting see we've got some uh very
4:31
uh neatly Twisted cable assemblies there
4:35
a bunch of leads so we've got one here
4:37
475 up here 430 NM 630 575 and 520
4:44
filters and dcro mirrors a quick way to
4:48
see what's white is if we just shine
4:49
some white light through
4:51
here not sure how it is is to see on the
4:54
camera but shining white light we do
4:55
actually get a bit of red a bit of blue
4:57
some yellow here so the obstacle path
5:00
575 it goes sort of here bounces off
5:03
this mirror and goes out the 520 goes
5:07
sort of down here across here and up
5:09
there 630 goes basically straight
5:13
through
5:15
430 goes across there down there along
5:17
there and the 475 goes down here and
5:20
left this is the light sensing thing
5:22
think here there's just a um I think
5:24
there a photo diode or other sensor
5:26
haven't actually taken that off and
5:28
everything's fixed down to this chunk of
5:31
aluminium which acts as the heat
5:32
spreader that then conducts the heat to
5:33
the back side for the heat
5:35
sink and the actual lead packages all
5:38
look fairly similar except for this one
5:41
on the 575 which looks quite a bit more
5:44
substantial big spay
5:46
Terminals and the interface for this
5:48
turned out to be extremely simple it's
5:50
literally a 5V TTL level to enable each
5:54
color doesn't seem to be any tensity
5:56
control but there are some additional
5:58
pins on that connector that weren't used
5:59
in the through time thing so maybe
6:01
there's some extra lines that control
6:02
that I couldn't find any data on this uh
6:05
unit and the um their current product
6:07
range is quite significantly different
6:09
so we've got the uh blue these
6:13
might may well be saturating the camera
6:16
so they might look a bit weird so that's
6:17
the 430
6:18
blue the 575
6:24
yellow uh
6:26
475 light blue
6:29
the uh 520
6:31
green and the uh 630 red now one
6:36
interesting thing I noticed for the
6:39
575 it's actually it's actually using a
6:42
white lead and then filtering it rather
6:44
than using all the other ones are using
6:46
leads which are the fundamental colors
6:47
but uh this is actually doing white and
6:50
it's a combination of this filter and
6:52
the dichroic mirrors that are turning to
6:55
Yellow if we take the filter out and a
6:57
lot of the a lot of the um blue content
7:00
is going this way the red is going
7:02
straight through these two mirrors so
7:05
this is clearly not reflecting much of
7:08
that so we end up with the yellow coming
7:10
out of uh out of there which is a fairly
7:14
light yellow color which you don't
7:16
really see from high intensity leads so
7:19
that's clearly why they've used the
7:20
white to uh do this power consumption of
7:23
the white is pretty high so going up to
7:25
about 2 and 1 half amps on that color
7:27
whereas most of the other colors are
7:28
only drawing half an amp or so at 24
7:30
volts the uh the green is up to about
7:32
1.2 but say this thing is uh much
7:35
brighter and if you actually run all the
7:38
colors at the same time you get a fairly
7:41
reasonable um looking white coming out
7:43
of it and one thing you might just be
7:45
out to notice is there is some sort
7:46
color banding around here that's not
7:49
getting uh everything s completely
7:51
concentric and I think that's where this
7:53
fiber optic thing comes
7:58
in I'll
8:00
get a couple of Fairly accurately shaped
8:04
very sort of uniform color and looking
8:06
at What's um inside here we've basically
8:09
just got this Square Rod so this is
8:12
clearly yeah the lights just bouncing
8:13
off all the all the various sides to um
8:16
get a nice uniform illumination uh this
8:19
back bit looks like it's all potted so
8:21
nothing I really do to get in there I
8:24
think this is fiber so I have come
8:26
across um cables like this which are
8:27
liquid fill but just looking through the
8:30
end of this it's probably a bit hard to
8:31
see it does look like there fiber ends
8:34
going going on there and so there's this
8:36
feedback thing which is just obviously
8:39
compensating for the any light losses
8:41
through here to get an accurate
8:43
representation of uh the light that's
8:45
been launched out of these two
8:47
fibers and you see uh
8:49
these have got this sort of trapezium
8:54
shape light guides again it's like a
8:56
sort of acrylic or glass light guide
9:00
guess projected just to make the right
9:03
rectangular
9:04
shape and look at this Center assembly
9:07
um the light output doesn't uh change
9:10
whether you feed this in or not so it's
9:11
clear not doing any internal Clos Loop
9:14
control obviously there may well be some
9:16
facility for it to do that but it's not
9:17
being used in this
9:19
application and so this output just
9:21
produces a voltage on the uh outle
9:24
connector proportional to the amount of
9:26
light that's present so there's a little
9:28
diffuser in the back there
9:30
and then there's just some kind of uh
9:33
Optical sensor looks like a
9:35
chip looking at the lead it's a very
9:37
small package on the PCB with this lens
9:40
assembly over the top and these look
9:43
like they're actually on a copper
9:44
Metalized PCB for maximum thermal
9:47
performance and yeah it's a very small
9:49
package looks like it's a ceramic
9:51
package and there's a thermister there
9:53
for temperature monitoring this is the
9:56
475 blue one this is the 520 need to
9:59
Green which is uh rather different OB
10:02
it's a much bigger D with lots of bond
10:04
wise but also this looks like it's using
10:05
a phosphor if I shine a blue light at it
10:08
lights up green so this is actually a
10:10
phosphor conversion green lead which
10:12
I've I've come across before they want
10:15
that specific wavelength so they may be
10:17
easier to tune a phosphor than tune the
10:20
um semiconductor material to get the uh
10:23
right right wavelength from the lead
10:24
directly uh red 630 similar size to the
10:28
blue one or does seem to have a uh a
10:31
lens on top of it there is a sort of red
10:33
coloring to
10:35
the die but that doesn't appear to be
10:38
fluorescent as far as I can
10:39
tell and the white one again a little
10:41
bit different sort of much higher
10:43
current
10:46
connectors a makeer name on that
10:48
connector flot light not sure if that's
10:52
the connector or the lead
10:54
itself and obviously with the phosphor
10:56
and I'd imagine that phosphor may well
10:58
be tuned to get the maximum to the uh 5
11:01
cenm and actually this white one looks
11:04
like a St fairly standard product I just
11:06
found it in Mouse made by luminous
11:09
devices in fact actually I think all
11:11
these are based on various luminous
11:13
devices modules and they're you take
11:17
looks like they taking the nearest
11:18
wavelength and then just using these
11:19
filters to clean it up to get a precise
11:22
uh spectral line out of it so quite a
11:25
nice neat and um extreme
11:30
bright light source uh sure I've got any
11:33
particular use for it so I think this
11:35
might end up on
11:36
eBay but uh very pretty to look out and
11:40
without the uh risk of burning your eyes
11:43
out like you do with lasers so I thought
11:45
it would be interesting to try and
11:46
figure out the runtime of this things
11:48
like this we usually keep some sort
11:49
record of runtime cuz leads degrade over
11:51
time I couldn't get any software to work
11:52
through the USB face but then had a
11:54
thought probably going to be writing the
11:55
runtime periodically to the e s prom so
11:58
I just just scope up that and noticed it
12:00
was doing right every 5 minutes so I
12:02
just ran it for a while periodically
12:04
reading the E squ I just held the pick
12:05
in in reset and um put clip over to read
12:07
the square prom and found it was writing
12:10
one location per color every 5 minutes
12:12
so if one color was on it would write
12:14
that location every 5 minutes and just
12:16
increment it by one so after doing a few
12:18
tests with different colors of different
12:19
time periods it looked extremely
12:21
straightforward it's like a four bite
12:22
count for each color looking at the
12:24
original data that was in it all the
12:26
colors apart from Green were reading
12:28
zero and the green was reading four
12:30
indicating a total 20 minutes run time
12:32
ever if it was turned on run for a short
12:34
time then turned off that might not have
12:36
been counted but even so indicates this
12:37
thing wasn't used a great deal the whole
12:40
s process of doing a run can be several
12:42
hours but it'll only be doing probably
12:43
the Imaging at the end of that so you
12:46
wouldn't expect to be running for a long
12:47
time but say a single color for 20
12:50
minutes over its whole lifetime does
12:52
seem a little bit on the low side okay
12:55
let's look at the camera un fortunately
12:57
I managed to not record any sound when I
12:58
did this it's also a couple of months
13:00
ago so there's going to be a few details
13:02
that I've forgotten so I'm just going to
13:04
dub this over the original footage so um
13:07
take the lid off see this massive great
13:10
heat sink so this is a pel cool camera
13:12
we've got this blower fan producing a
13:14
fair amount of air flow through
13:16
it the connector here there's the ccds
13:19
mounted on the board on the
13:24
right this unplugs so we've got a bit of
13:27
power supply stuff on here
13:29
USB interface I think that's the Cyprus
13:32
microcontroller High speeded USB
13:34
interface there's a zyink spon fpga some
13:40
RAM and there's a couple of ATD
13:42
converters can't quite read what those
13:45
those are but anal
13:47
devices um little bit of bodgery around
13:51
here extra decoupling obviously they
13:53
have having some noise issues this is
13:55
around the ram chip quite a lot of extra
13:57
capacitors been added there
13:59
uh there's a couple of amplifiers prior
14:01
to the HD converter buffers or Andor
14:05
amplifiers taking the CCD
14:08
signal um bit more power spy stuff here
14:11
this is probably all to do with
14:12
generating the various CCD bias voltages
14:14
they uh need quite a lot of exotic
14:18
voltages next board down is just a
14:20
shield and an interconnect
14:24
boardly shielding the power supply stuff
14:26
from some the more sensitive an log
14:28
stuff
14:31
and this is the bottom board which is
14:32
just all power supply
14:34
stuff as you can see tons of capacitors
14:37
or Transformer in
14:42
there and this is the CCD which is a uh
14:47
very impressive thing this is a kf50 100
14:50
originally by true sense then codec
14:53
there ON
14:54
Semiconductor it's 50 megapixels uh the
14:58
only price I could find was this one
15:00
5,000 bucks and the architecture you can
15:03
see there actually two separate halves
15:04
which explains the Dual AZ converters
15:06
and two amplifiers it's literally split
15:08
down the middle and duplicated so it's
15:10
outputting two streams in parallel just
15:13
to keep the bandwidth sensible and it's
15:15
got this amazing um diffraction effects
15:18
it's got micro lenses over the pixel so
15:20
there's there's a bit more Optics going
15:22
on than on a normal
15:25
sensor few more bodges on the CCD board
15:28
including this wire which isn't really
15:29
tacked down very well which is a bit uh
15:32
bit of a mess quite a few bits around
15:34
this board where they've uh tacked
15:36
various bits on which is not super
15:38
impressive looks like CCD drivers on the
15:40
left with those 3 ohm um damping
15:43
resistors on the
15:47
output get a few more little bodges
15:50
around here some of
15:52
the and there's this separator the
15:54
silica gel to keep the moisture down but
15:56
there's this separator that actually
15:58
appears to be cut from piece of
15:59
antistatic
16:04
bag and this sort of thermal block on
16:06
top of this stack of three pel Cola
16:12
modules so as with any Stacks they get
16:16
um larger as they go back towards the
16:18
heat sink because each P's got to not
16:20
only take the heat from the previous but
16:21
also the waste heat which is quite
16:27
significant you see a little temperature
16:29
sensor here that copper block which
16:32
makes contact with the back of the
16:37
CCD and this's the back of the
16:40
pelas this then contacts the heat sink
16:44
on the uh rear there a few thermal pads
16:46
as well for some of the other power
16:47
components on this
16:51
PCB okay I've connected this uh camera
16:54
up I found some drivers on the disc that
16:56
seem to work under Windows 7 couldn't
16:58
get to install under Windows 11 though
17:01
um in the absence of any sort of lens or
17:03
being bothered to the proper amount I've
17:04
just put some f over it and put a little
17:06
pin in there to make a pinhole lens and
17:08
software gives a few options I'm not
17:11
entirely sure what all these are there's
17:12
obviously a clock frequency 22 MHz low
17:15
gain and with PFG no idea what that is
17:19
something something game programmable
17:20
Something game perhaps ver exposure
17:23
types I think focus is just like a
17:25
continuous grab until you tell it to
17:27
stop not entirely sure all these options
17:30
are obviously exposure time uh triggers
17:33
there ex external hardware trigger inut
17:35
you just trigger using a um thing on
17:37
screen so the resolution is 8176 by
17:40
6132 and you can actually bin those
17:42
where you combine multiple pixels to get
17:46
increased gain at the expense of lower
17:48
resolution down this is a 10sec exposure
17:51
obviously of the pin hole it's very uh
17:53
intensitive so we just stand still now
17:56
downloading it there's the uh exposure
17:59
so when it's
18:01
um there's a little status thing down
18:03
here so that tells you the um exposure
18:07
[Applause]
18:09
time it's this is just it
18:15
downloading um it is quite I'm seeing
18:18
quite a lot like smearing I think that I
18:20
don't know whether that's just due to
18:21
pixels overloading or something else I
18:24
mean yeah it's not it's not um out of
18:26
the question that there's something not
18:27
totally right about this camera
18:28
certainly was bodge wise on there um I
18:31
don't I'd imagine a camera like this
18:32
it's got a fairly narrow range of
18:34
intensities that it's happy with I'm not
18:36
going to spend a great deal of time on
18:38
this if you're interested in this camera
18:40
maybe for astronomy or something and
18:42
happy to sort of take the risk of it may
18:44
not be uh perfect I'll um I think I'll
18:47
stick this on eBay along with the
18:48
Illuminator I'll put a link down in the
18:50
description to the listing take your
18:52
chances to grab a bargain so for example
18:54
here we see this vertical streaking so
18:56
I'm not sure how normal that is this is
18:58
on fairly bright scene looking out the
19:02
window if I cut the exposure time down
19:04
on that it's now 1 second
19:07
exposure again most of the image
19:09
disappears again this is looks like it's
19:11
possibly over still overloading here go
19:14
that go down to say say quarter a
19:16
second so again I think there might be
19:19
some Auto gain control going on here um
19:21
this is with the PFG option let's try
19:23
turning that off and see what
19:25
happens so I'm not sure this is actually
19:27
more streaking or which just it's
19:29
cranked up the gain all the dis display
19:31
gray scale to show what um you know the
19:33
range of things that it's captured
19:36
there's one of one of 12 things in the
19:38
software there's um you can see of you
19:40
can't seem to read out the temperature
19:42
of the pelta cooler but you can set the
19:44
temperature and if you said it's a
19:46
different temperature you see the power
19:48
consumption jump up running the cooler
19:50
to get the temperature you requested but
19:52
I can't see anything anywhere that tells
19:54
you whether the cool is at the at the
19:56
temperature other than the power
19:57
consumption going down and there's no
19:59
temperature read out
20:03
here and just some yeah this is just
20:05
sort of very basic software I'm sure
20:07
there's like an API for more
20:09
sophisticated
20:10
applications but so if you know anything
20:12
more about these cameras please um stick
20:14
in the
20:15
comments um incidentally when I was
20:18
editing I didn't notice there was a bent
20:19
pin on the um CCD but I did fix that
20:22
before doing these tests and also
20:24
reactivated the um silica gel desicant
20:26
cuz I noticed it was uh I was getting
20:28
bit of condensation on the window but um
20:31
yeah so a couple of uh interesting but
20:34
maybe not particularly uh useful pieces
20:37
of Kit except for someone that's got a
20:38
very specific use so um I'll stick a
20:42
I'll stick these on eBay put a link in
20:44
the description and say hopefully
20:45
someone could actually make some uh good
20:47
use of these things
Example Output:
**Abstract:**
This video presents Part 2 of a teardown focusing on the optical components of a Fluidigm Polaris biotechnology instrument, specifically the multi-wavelength illuminator and the high-resolution CCD camera.
The Lumen Dynamics illuminator unit is examined in detail, revealing its construction using multiple high-power LEDs (430nm, 475nm, 520nm, 575nm, 630nm) combined via dichroic mirrors and filters. A square fiber optic rod is used to homogenize the light. A notable finding is the use of a phosphor-converted white LED filtered to achieve the 575nm output. The unit features simple TTL activation for each color, conduction cooling, and internal homogenization optics. Analysis of its EEPROM suggests extremely low operational runtime.
The camera module teardown showcases a 50 Megapixel ON Semiconductor KAF-50100 CCD sensor with micro-lenses, cooled by a multi-stage Peltier stack. The control electronics include an FPGA and a USB interface. Significant post-manufacturing modifications ("bodges") are observed on the camera's circuit boards. Basic functional testing using vendor software and a pinhole lens confirms image capture but reveals prominent vertical streaking artifacts, the cause of which remains uncertain (potential overload, readout artifact, or fault).
**Exploring the Fluidigm Polaris: A Detailed Look at its High-End Optics and Camera System**
* **0:00 High-End Optics:** The system utilizes heavy, high-quality lenses and mirrors for precise imaging, weighing around 4 kilos each.
* **0:49 Narrow Band Filters:** A filter wheel with five narrow band filters (488, 525, 570, 630, and 700 nm) ensures accurate fluorescence detection and rejection of excitation light.
* **2:01 Customizable Illumination:** The Lumen Dynamics light source offers five individually controllable LED wavelengths (430, 475, 520, 575, 630 nm) with varying power outputs. The 575nm yellow LED is uniquely achieved using a white LED with filtering.
* **3:45 TTL Control:** The light source is controlled via a simple TTL interface, enabling easy on/off switching for each LED color.
* **12:55 Sophisticated Camera:** The system includes a 50-megapixel Kodak KAI-50100 CCD camera with a Peltier cooling system for reduced noise.
* **14:54 High-Speed Data Transfer:** The camera features dual analog-to-digital converters to manage the high data throughput of the 50-megapixel sensor, which is effectively two 25-megapixel sensors operating in parallel.
* **18:11 Possible Issues:** The video creator noted some potential issues with the camera, including image smearing.
* **18:11 Limited Dynamic Range:** The camera's sensor has a limited dynamic range, making it potentially challenging to capture scenes with a wide range of brightness levels.
* **11:45 Low Runtime:** Internal data suggests the system has seen minimal usage, with only 20 minutes of recorded runtime for the green LED.
* **20:38 Availability on eBay:** Both the illuminator and camera are expected to be listed for sale on eBay.
Here is the real transcript. What would be a good group of people to review this topic? Please summarize provide a summary like they would:
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TSP #274 - How Heavy Is an Electron? The Experiment That Changed Physics - Scope Giveaway Results
The Signal Path
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In this episode Shahriar re-traces history and measures an important characteristics of a fundamental sub-atomic particle: the charge to mass ratio of an electron.
This experiment, first performed in 1897 by J.J. Thomson, changed physics by showing that atoms are indeed made of further sub-atomic particles through the discovery of electrons. We build a setup using a pair of Helmholtz coils, a cold-cathode vacuum tube driven by a multi-kV DC power supply & careful measurements of the beam deflection angle. The theoretical foundation of the experiment is described in details.
The measured e/m ratio is compared with the NIST established number with great agreement. The historical impact of the work of J.J Thomson & Robert Milikan (measuring the charge of an electron) are also presented.
The two winners of the giveaway are:
@nicolasblomstrand2912 (YouTube)
Robert S. (Patreon)
Each will receive a Siglent SDS1104X HD!
https://www.siglentna.com/product/sds...
Please consider supporting The Signal Path:
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Explore classic physics experiments to measure an electron's mass, using vacuum tubes and Helmholtz coils. The Signal Path meticulously recreates historical techniques, demonstrating the principles of electromagnetism and Newtonian motion. A giveaway of two oscilloscopes adds excitement to this educational journey.
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@BaconbuttywithCheese
45 minutes ago
That must be a fairly robust workbench.
2
Reply
@xDevscom_EE
48 minutes ago (edited)
Interesting fun fact = primary resistance standards using quantum hall effect are using 2DEG (2 dimensional electron gas) to realize universal unit of resistance, Ohm. This is also done currently with strong magnetic field (many Tesla) in hall bar devices running in cryostats at liquid helium temperatures. After all the conditions met, current flowing across the 2D electron gas would generate fixed discrete steps of resistance at h/e^2 or integer ratios of it like 12906.4035 ohms or 6453.20175 Ohms. This values never drift and always stable if everything done properly :) Many NMIs use this phenomena to realize resistance for calibration purposes.
4
Reply
2 replies
@tomteiter7192
50 minutes ago
ah damn, the halo still gets me :(
2
Reply
@PiotrSzarański
1 minute ago
Wow, my brain was fed with a very yumi and accessible knowledge. Thats the science I love: historical background, theory, experiments and conclusion, all with passion and enjoyment. Thank You very much!
Reply
@sourenasaneei
31 minutes ago
1
Reply
@RichardFraser-y9t
53 minutes ago
Heavy man !
Reply
@Mountain-Man-3000
1 hour ago
Are these "electrons" here in the room with us now? Cool stuff man.
4
Reply
@saramanbrudesco
54 minutes ago (edited)
what is mass? before you say "energy", or "energy effect", i say "no". so, what is mass? you say "mass is mass" is not an answer. to consider it just "mass", it is not an explanation, it is a promise and a delay of explanation.
so, what is mass? what remains it to be? caution it can be just one thing. there are no multiple possibilities.
when you understand what mass is, you get close to understanding what a heavy particle is, and what are those other "particles".
it is a missunderstanding that the mass has its equivalent in energy. matter is not that, mass is not that. mass produces the energy effect. it produces, it is not produced! it is not energy producing mass effect, firstly because energy is not something that exists, it is something that happens. it is the mass, that which produces the energy equivalent.
so, can you figure what mass is? :)
we are taught to call them kilograms, and believe me, to call them joule effect is not a better proposal!
what is the ultimate abstract aspect of it all? think about measuring not in kilograms or joules, but in that unit!
did you figure it yet?
Reply
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Transcript
0:07
Hi, welcome to the signal path. In this episode, we're going to retrace some footprints of history and measure the
0:12
mass of an electron, which is a fundamental subatomic particle. It's also incredible that this is possible
0:18
with just some knowledge of electromagnetics as well as Newtonian laws of motion and this apparatus that I
0:24
have here on my left. So I want to go through the detail and how brilliant the people who first did this actually were
0:29
in coming up with these techniques and there's a lot of really interesting physics in there and I'm going to talk about how this apparatus works as well.
0:35
I'm also going to announce the result of the giveaway that I talked about a short while ago. There's some surprises with
0:40
that as well. So we're going to get to that too. Let's get started. So let's start building some concepts and think
0:46
about how we can generate and manipulate electrons in the hope of measuring their mass. Well, one easy way to do that is
0:52
inside of some kind of a vacuum tube. This can be a cold cath tube or it can be a tube with a heater inside and we'll
0:58
get to that. But the fundamental idea is the same. We're basically creating some kind of a potential difference between
1:03
two points. And as that potential difference grows depending on the source of the electrons, you can actually
1:08
capture and fire electrons through the electric field and they fly right through over here. This is a vacuum
1:14
tube. In fact, this is how CRTs work. That's how you can form, for example, an image over here on the other side of
1:19
this by firing electrons in a phosphorous screen which then creates photons. But when the electrons are
1:25
flying through here, we can actually manipulate them. And that's a really important aspect of this experiment. There are two ways we can manipulate
1:31
electrons. We can apply an electric field. By applying an electric field, when the electron is going through it,
1:37
it'll get pulled by the electric field and get deflected. So that that mechanism of moving electrons is using
1:43
an electric field. The other way to do that is using a magnetic field. And we also know that by creating a magnetic
1:49
field across the path of an electron, we can also deflect it and create a force on the electron. So that's the really
1:54
basic idea. Everybody's familiar with this. But of course, at the time when these experiments were done, these were all very new and innovative ideas. So if
2:02
you use this combined with some Newtonian's laws of motion, let's see if we can put some equations together. So
2:07
now let's imagine that we have a very special kind of tube that is spherical in shape and it's going to behave in a
2:14
very interesting way inside of a magnetic field. Imagine that inside of that tube we have an anode and a cathode
2:19
and we place a potential difference between these two and that's going to encourage a flow of electrons. Those
2:25
electrons want to go from let's say right to left. But then at the same time we place this in a magnetic field in
2:31
such a way where it is perfectly perpendicular to the flow of the electrons. That's what this B
2:36
represents. And that circle with an X in it means that the magnetic field is going into the page perpendicular to the
2:42
flow of the electron. Now, if you set things just right, these electrons are going to get trapped in a circular path.
2:48
And that's really helpful because that's going to give us another equation we can work with, which we will see. And these electrons are just going to carry this
2:55
path from one side to the other in the magnetic field is everything is set up right. So now we can apply some rules
3:00
based on what we know about how force acts on electrons in a magnetic field. So that equation is a very well-known
3:07
equation. It basically describes the force a charged particle at a velocity V
3:12
is going to experience in a magnetic field B. Now this is a cross productduct. But in a situation where
3:18
everything is perpendicular, this is going to simplify to this for an electron. This tells us that the force
3:24
an electron is going to experience when it has a velocity V and a charge E inside a magnetic field B is going to be
3:31
this F of M. Now this is nowhere near enough for us to solve because there are multiple unknowns in here. But at the
3:37
same time the clever point is that we have trapped it in a circular path. So now we have another equation that is
3:43
going to tell us the force required to keep a particle in this rotation of circle inside and that equation is also
3:50
very well known. This tells us that the force required the centrifugal force required is a function of the mass of
3:56
that charged particle and its velocity squared and the radius this radius of the circle that is going around. So now
4:03
we have two equations that we can cleverly combine because we know that this force and this force must be equal
4:10
in order for this electron to be trapped in this circular path. And if you do that, we get this really interesting
4:16
ratio that the charge to mass ratio of the electron now is a function of the velocity of the electron as well as the
4:22
magnetic field and the radius that it is trapped in. Now, this still not enough because there are multiple unknowns in
4:28
here. For example, we don't know how fast these electrons are moving. We can measure everything else. So, we need a
4:33
few more equations. Well, there is one more thing that we know. We know the potential that we're applying between
4:40
the anode and the cathode. And that's really important because we can now invoke another fundamental equation. A
4:46
voltage describes the amount of work done when you move a charged particle through it. And that is given by this.
4:52
So basically meaning that if I create a potential difference and a charge E moves through it that is amount of work
4:58
in jewels that is done. At the same time that charged particle that has a mass is now moving is accelerated because of
5:04
that voltage which means that it also has kinetic energy. Now as long as there is conservation of energy the amount of
5:11
work the voltage has done and the kinetic energy the charge has accumulated must be equal. So now we
5:17
have yet another parameter that we can relate. Now the nice thing is that V is the parameter that we can actually apply
5:24
ourself. That's where we getting that equation. So now we combine everything together and we get now something that's
5:30
much more reasonable where every parameter is a parameter that we can control. So this tells us now that we
5:35
can rewrite this. So the charge to the mass ratio of an electron is now a function of the voltage that we apply we
5:42
control that the magnetic field we can also control that and the radius which is what we can measure. This is
5:48
brilliant because all of these parameters can now be measured. Now I realize that this is the charge to mass
5:54
ratio and we'll get to that but this is now fully in our control. And so now we can see the purpose of this apparatus.
6:00
It's going to give us all the elements that we need in a controllable fashion to make the calculation of the electron
6:06
mass. It has a pair of helmets coils, two, one in the front, one in the back, and this is going to give us a nice
6:11
uniform magnetic field. I'm going to talk about that in detail and even do some measurement. And in the middle of
6:17
that is where a source of the electron is going to be. This is a vacuum tube with a heater inside. And that's going
6:23
to give us a stream of electron. Now imagine for a moment that the stream of electrons are starting from left and
6:28
going to right in this direction. We can estimate what happens to the force vector acting on them based on the
6:34
magnetic field. The magnetic field of the helmets called go into or away from them completely perpendicular to the
6:41
line of the electron I described. So you can use the right hand tool to estimate and figure out the direction of the
6:46
force. So if the electrons are going this way, the magnetic field being your thumb going that way, this is the force vector. So if the field is going that
6:52
way, the force is this way. And if the field is coming out, the force is down. So imagine for a second that the
6:58
electrons are coming this way and we turn the coil on. They're going to experience that force and that's going
7:03
to bend them. And that bend continues and that's going to create a circle all around. So we can actually completely
7:09
trap the electrons in a circle inside the tube and measure that radius that we're looking for. That's the clever
7:16
aspect of this design. It encapsulates the electron in here and that radius then goes back to the calculations we
7:22
were talking about. So, I want to take a close look at this tube and see how it works. I also want to do measurements on this. And there's actually a problem
7:28
with this tube. So, we'll have to figure out a way around it. But, there's a lot of really interesting experiments that comes with that. So, let's take a closer
7:35
look at this tube and see what we have. So, here's a socket at the bottom, and you can see all of the different wires
7:40
coming in. Now, the magic is really here at the bottom of the tube. Now, if you zoom in a little bit more on this, you
7:45
can see there's a metal can. Inside of this metal can is a little heater. There are two wires coming out of it and those
7:51
two wires go over there onto the socket. So this either actually works and it glows red when I turn it on. As to be
7:56
expected, it's very similar to a vacuum tube. And the purpose here is to create a high thermal energy area where
8:02
thermionic emissions of electrons can happen very easily and there is in fact a hole in front of it where electrons
8:07
can escape and then there's another hole with a plate that's right in front of it. If you energize that, you can create
8:13
an electric field where the electrons can be pulled out of that hole and then shot out of this hole on the other side.
8:18
There are also two other plates there. These are electrostatic tuners and you can focus the beam using them by
8:24
creating an electric field. You can pinch it and then you can create a really nice well-defined stream of electrons which is what you're trying to
8:30
do because you want to be able to visualize them. Now of course you cannot see the electrons yourself. That's why this tube is filled with low pressure
8:37
mercury gas. And these flow of electrons occasionally they hit one of these atoms of the Mercury elevate its electrons to
8:44
a higher orbit and on the way down it's going to release some photons in the kind of the purple UV range and you can
8:50
actually see that. And then yeah it's a beautiful structure. It's a whole bunch of wires going there. Now the ghetto is
8:55
completely clean. So this tube should not be contaminated though. Although see a little bit of a spot there. You can
9:00
see some white gray spots there. But unfortunately no matter what I did I could not get a stream to show up on
9:06
this tube. I even baked this tube at 100 Celsius for some time to see if I can evaporate and stabilize the pressure of
9:13
the mercury if it's been left around. I just could not get it to do anything. I could also couldn't measure any current
9:19
going through this which would indicate that there is actually some electron coming out with or without the heater turned on. Absolutely nothing. So, I'm
9:25
afraid that either the gas is no longer at the right pressure or something's happened to this tube which is unfortunate because this tube is ideal
9:31
for the experiment that we want to do. And the reason for that is because one of the advantages of having a heater
9:37
inside is that you don't need a lot of voltage on the other side to extract electrons. So this tube would produce a
9:43
nice stream at about 2 to 300 volts kind of like how vacuum tubes would. And that advantage comes from the fact that you
9:49
can easily grab those electrons from that high thermal energy the terrionic emission helps a lot which means that
9:54
those electrons can actually make a complete loop inside of this tube and then you can measure the diameter based
9:59
on the equations that we saw and that's why it is chosen this way. So the low voltage means that you can fully contain
10:05
the loop within the tube. Unfortunately, this one doesn't work, which means we have to find another solution to do
10:10
exactly the same thing. But these tubes are very, very expensive, and I can't don't want to buy another replacement,
10:15
and there's no guarantee that it would work. So, we have to use a cheaper tube. Unfortunately, one without a heater, which is going to have its own
10:21
consequences. Let's see. So, here's a tube that we actually want to use. Now, the first thing to note is that this is
10:27
a cold catheter tube. There is no heater inside of this, and that has an advantage. It means the power consumption of something like this is
10:33
considerably less because those heaters do burn a lot of power. But the disadvantage is that we don't have the thermionic emission. So you're going to
10:40
need a much much higher potential difference between the cathode and the anode to excite and move those electrons
10:46
from one end to the other. So creating an electron stream is a lot harder than this. In the previous tube, we needed
10:52
about 300 volts. In this one, we need over 3,000 volts. But again, the advantage is that we don't have that
10:57
heater. So if you look over here, we if you put a negative voltage in here and a positive voltage in here, we're going to
11:03
create a very very strong electric field and a big difference in potential. And with sufficient voltage, we can rip
11:08
electrons off of this and shoot them towards the other side. This is incidentally very similar to how X-rays
11:14
are made. So if you're not careful with these tubes and have a very very large voltage across them, you will begin to
11:19
reach areas where some X-ray can come out of these. Although this is only at 30,000 volt, so we are really not in the danger of that. So I'm not worried about
11:26
it. Now, electrons leaving this side toward here are going to be fairly chaotic. We want a nice stream, well
11:31
definfined. So, they've placed a little plate in here and that plate has a slit in it. And that slit is going to shape
11:37
the electron flow in the shape of a fan. And that fan is going to sit kind of like this across and it's going to go
11:43
all the way. Now, why would you need a fan? Well, you need to still be able to visualize what those electrons look
11:48
like. And this is not filled with any mercury gas. It just has a low pressure vacuum essentially. So on that plate, if
11:54
you look carefully on the surface of it, they have spray painted some phosphorus paint and it's on an angle like this. So
12:00
as these fan of electrons, fan shaped electrons come across, they're going to partially strike this plate. And
12:06
everywhere where they strike that plate, they're going to excite the phosphorus and it's going to emit photons just the same. And we're going to be able to see
12:12
that. And that's how we can visualize the location of the beam in a tube like this. Similarly to the previous one, we
12:18
do need to see it so we can measure the angle. Now this does have two other electrodes on each side. And this is to
12:23
be able to steer the beam using an electric field. Now remember that we want to steer it using a magnetic field.
12:28
So we are not going to use that. But everything we do can actually be applied here as well with a set different set of
12:34
equations. But you're basically doing the same thing. So we should be able to visualize and and measure exactly where
12:39
that beam is by applying the right voltage. Now I'm going to also attach this right here so we can measure the
12:44
angle very carefully. We can see exactly the deflection both on the positive and the negative side. And now use a
12:50
different calculation. So now there is a disadvantage in using this tube in our experiment because we're using over
12:55
3,000 volts between these two. The energy on those electrons is much much higher. Meaning that the circle or the
13:02
theoretical circle that they would have formed is going to be much larger. In fact much much larger than our setup. So
13:08
we now have to now measure the deflection and from that angle estimate what that circle would have looked like
13:15
if it were to be created. And that way we can relate it back to the other form of equations and then we can finally
13:20
hopefully get the value that is close to reality. That's the disadvantage of this and that's why that other tube with a
13:25
big spherical shape and a fully enclosed circle was helpful in terms of calculation. But here we can still do
13:31
the exact same thing. Yeah. So these tubes are are significantly cheaper and widely available but and they're really
13:36
fun to see. Well, as we'll see once we turn it on, you can really see the the electron beam in there. So let's give it a try.
13:43
So if our tube actually worked, this is what we would have seen with the flow of the electron exciting the mercury gas,
13:49
which is really quite beautiful. And you can see there's a ruler in the back which allows you to measure this radius,
13:54
that radius we talked about when we were talking about the equations. It's unfortunate that this doesn't work, but I showed you what we're going to use as
14:00
a replacement. And our tube looks a little bit more like this. So as I showed you, there is a slit in here.
14:05
Electrons will go through, they will strike this phosphorus plate, and they're going to create a line on it that we should be able to see visually.
14:12
and the magnetic field is going to deflect that. And that's why we can't really make a circle because it's just going to bend. It's not going to go
14:18
around. But that's going to have some additional equations associated with it. Now, for the magnetic field that we
14:23
need, we want to generate that very carefully. We want it to be uniform parallel magnetic field lines and we
14:29
want to be able to control it very carefully. So, the coils that you saw in our setup are no accident. They're
14:34
designed in a very specific way and they're called Helmon's coils. They have a radius R of loops of wires. They're
14:40
also separated by the exactly that radius. And that's a special case because if you imagine each of these
14:46
coils of wires is going to generate a magnetic field. So coil one over here and coil 2 is going to generate a
14:51
magnetic field also. But when they're at a specific distance, the overall magnetic field which is a superp
14:57
position of the two of them is going to be really nice and uniform in between specifically in the center of the two
15:02
coils. And that's where we want to have our tube. Here we are showing the magnetic lines between two of the coils.
15:08
And you can see that how they're overlapping. Obviously, near the edges, it's not going to be perfect, but in the middle where we want to put our tube,
15:15
it's going to be really well behaved. In fact, there's an equation that describes exactly that magnetic field, which you
15:20
can derive if you want to go to the details. But here's the equation. Let's see if that equation actually makes sense. So, the magnetic field B in the
15:28
middle of the coil is given by these parameters. It's a function of current. So, you can see the current is in the
15:33
numerator. So, if the current goes up, the magnetic field gets stronger. That's consistent. n is the number of turns
15:38
each of these scrolls have. That's also consistent because if I increase the number of turns, I'm going to get a
15:43
stronger magnetic field. That also makes sense. And there's a fixed number square root of 125. And r is the distance. So
15:49
if the r grows larger and larger, the magnetic field in the middle gets weaker and weaker and it's not going to be as
15:55
perfectly parallel anymore. That's also consistent because this is in the denominator and the units is in Teslas.
16:00
So we have these coils, but I'm not just convinced I'm wanting to use the equation. I want to measure it. Let's
16:06
see if we can measure the magnetic field and if it's consistent with this equation. So now let's see if we can
16:11
verify the equation that we have that describes the behavior of our helmet scroll. Essentially what we want to do
16:16
is to measure the magnetic flux density ourselves. And that setup is not very difficult. We need some kind of a hall
16:22
effect sensor to place it in an ideal location between the two coils. And that's exactly what I've done. If you
16:28
look over here, I have a probe. In the tip of the probe is a hall effect sensor. And I have positioned it, you
16:33
know, roughly in the middle in an ideal location where the field is best uniform. Now, you have to be careful
16:38
with these probes because depending on the probe, they're measuring magnetic field directions in different
16:43
orientation. This one is measuring it along the axis of the probe, which is exactly what we want because this is the
16:49
direction of the magnetic field either this way or this way depending on the current flow in the coils. Now, some of
16:55
these are going to measure it in a perpendicular fashion. So, then you have to rotate this by 90°. But in this case,
17:00
this is correct. And I have it connected here to a Lexure 410 G meter. Now Lexure makes a whole bunch of different kinds
17:06
of magnetic flux density and magnetic flux measurement instruments for cryogenic and other quantum application.
17:11
This is an older unit but they have more modern version of that. This will work just fine for what we want. Now if you
17:17
also notice that we're measuring some residual value about maybe 0.15 milllas
17:22
and that's just the residual magnetic field in the room. Some of that could be from the Earth's magnetic field depending on the orientation of the
17:28
probe. That's usually maybe in the orders of 10 mill Teslas or so. And the rest of it is just whatever is in the
17:33
room. And we want to subtract that and get rid of that because that's going to interfere with our measurement. Remember, we're also making a DC
17:40
magnetic field measurement. Now, one way to do this is to measure the field this way once and then flip it and measure it
17:45
that way and then average them out because magnetic fields superimpose on top of each other. The other way is to do just a relative measurement, which is
17:52
easier. There you go. Relative. But even though we're making a relative measurement, it is still useful to
17:57
measure the field in both direction. That gives us more confidence that everything is symmetric and linear. And
18:02
for that, we need to energize the actual magnets. I'm going to use a Kitly 2460
18:08
SMU. I've done a full review and tear down a whole bunch of Keithly SMUs. They're really fantastic instruments.
18:13
And we're going to apply 1 amp to the coils. And then we can flip that. And that's the reason I'm using an SMU
18:18
because it's a four quadrant device that allows me to flip the current in both directions without having to rewire things. It's just easier and cleaner. So
18:25
at 1 amp we can measure the field and then at minus 1 amp we can measure it again. We can also change the value of
18:30
the current and see that it scales correctly. So everything should be correct. We should be able to make a measurement. Okay. Let's enable the
18:37
current here. So here's 1 amp. Let's see what happens. All right. So 1 going through it. We can see that we're
18:42
developing a voltage about 3.8 volts across the coal. So we're burning 3.8 watts in this setup. And look at this.
18:48
We're measuring about 0.77 milllas. That's the field in the middle of the two columns. Now I'm going to reverse
18:54
that. Flip the current and see if that flips. If if it's everything ideal and working, we should just only get a negative number here. Everything else
19:00
should stay exactly the same. So let's do a negative over here. Press okay. And look at that. Almost exactly negative.
19:07
So which means that everything is really well behaved. Now we're going to have to compare with the equation still, but at least we can see there's some
19:13
consistency in here. Let's go ahead and double the current. So 2 amp. Let's see if that doubles. The field doubles.
19:18
There you go. Look at that. it doubles almost exactly. So that gives us a lot of confidence that at least we're measuring something that is internally
19:25
consistent. Now we have to go back and compare it with the equations themselves. And if I turn this off, there should be no residual magnetic
19:32
field left because nothing in here can become magnetized. It's by design to ensure that the measurements are
19:37
repeatable. So while we here, let's also adjust our intuition about how strong the magnetic flux density actually was.
19:44
So we measured about 1.55 milllas while we were burning about 15 watts of power
19:49
applying 2 amps to it. So here I have a neodymium magnet right over here. This is a really strong magnet. I want to
19:54
measure its field. Now in farfield the strength of the magnetic field is going to drop by one over cube of the
20:00
distance. That's quite classical. It's the same for EM radiation and other things. But when it gets really really
20:06
close to the surface of the magnet, that relationship actually kind of falls apart and you'll end up with something that is going to depend on the shape of
20:12
the magnet. But nonetheless, that field is going to be the strongest right at the surface. So, first let me hold it
20:17
over here. Right? So, you can see at this distance we are about let's say maybe just over one mill teslas or so.
20:22
If I flip the magnet to the other side, the polarity will change. But if I bring it really really close and basically
20:28
touch the sensor, look at what we're getting. 0.57 Teslas. That's so much
20:33
stronger than the magnetic flux density we had before from the coil. But of course this curl has a clear advantage
20:40
because the field is uniform and very well distributed and well behaved. The magnetic field of this is going to wrap
20:46
around is going to be quite chaotic. If I move it around you can see that the shift is quite huge. But nonetheless
20:52
gives you an idea about how much stronger the field of this magnet is. Which is why these strong neodymium
20:57
magnets can be so dangerous especially when you bring them close together. They can even crush your bones depending on the size of the magnet. But yeah, this
21:03
field is just so much more powerful than the field we have. But this is going to be really nice behaved.
21:09
So let's see how well did our measurement match our actual equation. So here's the original equation that we
21:15
saw over here. In my setup, n is 130. We can get that from the data sheet of the
21:20
coils themselves. And the radius and the separation of the coils is 0.15 m. And
21:26
of course we have this which is a constant value for permeability. And the current that we used it was the one that
21:31
was adjusting using the SMU. And here it is. So the theoretical values over here for the currents half an amp, 1 amp and
21:38
2 amp and this is what I measured and look at that the error is within a few percent even for something that I had
21:44
just manually placed not even perfectly in the middle. So this is really really consistent which means that we can rely
21:51
on this equation. This equation in fact tells us that the magnetic field we can get is about 7.8 * 10us 4 teslas per
21:58
amp. And that's the beauty of the helmet scores because you can very well control exactly the magnetic field in a well-
22:04
behaved BA in the middle of the two of them. Yeah. So this is pretty nice. It actually matches. So we can reliably use
22:10
this equation. So now with the other tube gone, we can see how the cold cath tube is going to affect our experiment.
22:16
Now the flow of the electron direction doesn't change at all. It's still going to go from left to right, which is nice. And the force vector therefore is going
22:23
to be basically the same depending on the direction of the magnetic field. So, this beam is going to either bend this
22:28
way or it's going to bend that way. But because the energy of these electrons is so much higher, the excitation voltage
22:33
is over 3,000 volts, there isn't enough space in here for them to make a nice circle. That circle is going to be
22:39
conceptually huge. It's going to be much larger than the helmet cause themselves. So, we have to estimate the radius of
22:45
that supposed circle based on the angle assuming that the angle is going to give you roughly what the trajectory would be
22:52
if you have a tangent on it. So, that's basically what we're doing. It's a bit of an approximation, but that's the consequence because we can fit that
22:58
circle directly inside of this. So, let's go ahead and turn it on and see how it looks like. I also want to
23:04
clarify that it's not just so much about making a circle neither because at some point if I increase the magnetic field
23:09
enough, I should be able to synthesize any shape. But the problem with that is that at some point, it's just not going to overlap the phosphorus plane and
23:16
therefore looking at the beam is going to be more and more difficult. So there are multiple reasons why we would want to make this angular deflection in a
23:22
controlled way and estimate the radius of the circle because we can also make a much better measurement that way and
23:27
hopefully get a more accurate result. And here is our latest setup. Here on the left side I have a Stanford Research
23:33
5,000 volt power supply. This is a DC power supply. As you can see this set to 3,200 volts, but it is not enabled and
23:40
therefore there is no electron flow in the tube. The positive and the negative terminals of the power supply are
23:45
connected to the anodon cathode of the tube. And I have attached a protractor directly in front of it. So when the
23:50
beam is visible, we can measure the deflection angle from the start of the slit as far as we can go into the tube.
23:57
And the tube is completely within the parallel magnetic field of the helmet's coil. And the coils themselves are being
24:03
driven by Roden Schwarz SMU. This is the NGU 401. And I can do of course positive and negative current. And I have already
24:09
set that up. It's also disabled. So by going positive and negative, we can measure the deflection angle in both
24:15
directions and then average them. And the reason is because when the beam is turned on is not perfectly horizontal
24:20
because of other magnetic fields and other imperfections. By by making it positive and negative we can essentially
24:25
find out the effective deflection since the only thing that changes is the direction of the magnetic field as we
24:30
saw earlier when we measured this thing by itself. And that's it. That's really the entire setup. So if I go ahead and
24:36
enable the power supply and look at that there is a line there. Of course I don't want to bring my hand too close to those
24:41
nodes anymore because it is sitting at 3200 volts but the beam is clearly visible. So, we're going to focus on it
24:46
and see if we can make a nice measurement. And here, I'm going to go from positive half an amp to negative
24:52
half an amp. If I go more than that, the magnetic field is strong and the beam deflects and it dims out and you won't
24:57
be able to see it anymore. But, we should be able to make a good measurement with plus and minus half an amp since we already have a very good
25:03
characterization of the coils themselves. Let's try it out. So, now for the fun part. Let's see if we can
25:09
make this measurement. I've adjusted the camera's exposure so we would be able to see the beam better. There is right now no beam. Let's go and turn it on. And
25:16
there it is. Look at that. Now, if you look carefully, you will notice that it's not perfectly down the middle. As I said, there are imperfections. And it
25:22
looks like it's just under the 90° line. The 90° would be perfectly horizontal. It doesn't really matter because we're
25:28
going to do positive and negative. And if you follow the beam all the way to the end, you can see that it doesn't exactly end up in the middle. So, that's
25:33
consistent. So, first thing, let's apply positive half an amp. And that should move the beam upwards. And we can record
25:40
the deflection angle. Here we go. So here's 100 milliamp, 200, 300, 400, and
25:45
500. And look at that. The beam moves exactly to be expected. If I look over here, I would say that's about maybe
25:52
plus 4° above 90. Okay, so let's record that as one of the values. There's obviously some margin of error. The beam
25:57
is a little bit wide, but if I look at the middle of the beam, I would say 4° is fairly accurate. Now, let's go the
26:03
other way. So if I go back to zero, it should go back to where it was. And you can see that it does go back exactly to
26:09
the original location. Now we go the other way. And here's half an amp the other way. And look at that. That is
26:15
about I would say maybe 9° below 90. Yeah, that sounds about right. So + 4 to
26:22
- 9 average about 13. I would say maybe around 6 and 12 degree of deflection for half an amp of current. Now we can do
26:28
this at different and we can verify to make sure that it is consistent. But all of that sounds about right. So let's use
26:34
those two values with a certain margin of error and see if you're anywhere close to reality. Now there is another
26:40
aspect of this we can quickly check to see if it matches theory. We said that if the energy of the electrons is higher
26:46
and higher the theoretical circle that they would form would be get bigger and bigger. So what we can try is we can
26:52
increase the voltage and see if that beam tends to straighten out more and more. That would be consistent with what
26:57
it's supposed to be doing. So right now we're at 3,200 volts and I'm going to go 3,800 volts. Okay. So I'll tell you when
27:05
I enable it. Now take a close look at the very very end of the beam all the way at the end. Look and see what
27:11
happens when I go to 3,800. Here we go. 3 2 1 there. Now first thing is that
27:16
obviously became brighter because the electrons have now more energy. But look carefully. The beam did straighten out
27:21
just a little bit. Look at the very very end of it. Let's go back to 3200.
27:26
Here's 3200. 3 2 1. You see that the beam actually moved up which means the deflection angle became sharper and the
27:33
circle became smaller when the energy of the electrons dropped. That's exactly what the theory tells us. Now I can't go
27:39
much higher in voltage because it will begin to arc. But that is consistent with what is supposed to happen. That's also a good sign and we can verify that.
27:46
So here's the moment of truth. Was that measurement correct anywhere close to reality? Well, we need one other
27:52
equation. That's because we couldn't make a circle. We only could measure deflection angle. But it turns out that
27:57
you can very easily estimate what circle would have formed based on the deflection angle you're measuring
28:03
depending on the length of the beam. And that's this parameter right over here. So the ruler that I used was 50 mm.
28:09
That's going to be X. And the deflection angle was the angle of the measurement we just did. By using these two
28:14
parameters, we can estimate what circle would have formed. Now if we combine everything, we come up with this master
28:20
equation. And this equation is pretty nice because every parameter we can either measure or we can control. So
28:26
let's take a look. So here's our equation. The charge to mass ratio of an electron is a function of all of these
28:32
parameters. Now we know that r is 0.15 meter. We know that n here in the
28:38
denominator is 130 turns. We know permeability is a universal constant. The coil current that we used was 0.5
28:44
amp. That shows up in this equation as well. Right over here. We know the excitation voltage that we used for our
28:50
tube was 3,200 volts. That shows up here as well. We know the length of the beam we used to measure using our ruler was
28:56
50 mm, which is 0.05 m. That's over here. That's going to show up right there. And lastly, I repeated that
29:03
measurement multiple times. And I think I can safely say that it is somewhere between 5 1/2 to 6 1/2° depending on how
29:10
perfectly I organize and orient the ruler. But I think I'm fairly confident with this value. So if I plug into this
29:16
equation, I get a range for the electron to mass ratio somewhere between 1.55 * 10 11 to 2.16 * 10 11 kum per kilogram.
29:25
Well, is that correct? Well, here's the NIST value, which is 1.75 * 10 11 kum
29:32
per kilogram. It's right in the middle between these two values. This is incredible. I hope that you're at least
29:39
as nearly as excited as I am to be able to measure this using the setup that we have with a ruler that I just roughly
29:45
placed there. We are so close to the value. This is incredible. Now, I know what you're saying. The video says I'm
29:52
going to measure the mass of an electron and I haven't done that. I've only measured the charge to mass ratio. Now,
29:58
as I said earlier in the video, we are recreating history here. The first human being to have ever measured the charge
30:04
to mass ratio of an electron was the Nobel Prize winner JJ Thompson. He did that experiment in 1897 also using
30:11
vacuum tubes in a fairly primitive setup and he got to the actual value far closer than I did which is incredibly
30:17
impressive. He also observed that that charge to mass ratio was about 2,000 times larger than of a hydrogen ion. And
30:25
that was puzzling because it either meant that these particles have very high charge or incredibly small mass.
30:31
But if they have very small mass, it means that they are subatomic and the discovery of electron. And this was a
30:37
huge leap forward in physics. And just like the experiment we did, he couldn't tell us what the mass of the electron
30:43
was because he didn't know what the charge of the electron was. And he had to wait over a decade before somebody
30:49
else came along, Robert Milikin, who then actually measured the charge of the electron. And his experiment was equally
30:56
impressive. So Milikin took a box and inside of the box he placed two electrodes. he could apply a voltage
31:01
between these two electrodes which then would create an electric field and therefore he could either have the electric field or not have it on top of
31:09
the box. He took some spray filled it with oil and sprayed it into the box. This would atomize the oil and create
31:16
really fine mist particles of all droplets. He used oil because oil doesn't evaporate and therefore the
31:21
diameter, size and the mass of these droplets would remain fairly constant throughout his experiment. As these
31:27
things get sprayed out, they would pick up some charge randomly by the process of friction that would happen as they
31:33
get sprayed out and then they would go through one of the holes of the electrodes and just simply fall down because of gravity. He would then look
31:40
at them through this microscope eyepiece and from there he could see how fast they fall, what the diameter of it is,
31:45
and then he could estimate based on how fast they're falling through some equations the exact mass of these
31:51
particles. He then turned on the electric field and by playing with the electric field he could actually create
31:57
an equilibrium where these particles of oil would hover and as soon as they would hover he would then have now two
32:03
equations again. One equation would tell him about the mass. The other one would have this unknown parameter which is the
32:09
charge which is the counter force in the electric field to keep it hovering. Based on that he measured tens of
32:15
thousands of these particles. And to be fair he didn't have Tik Tok so he had a quiet concentration. He looked at these
32:21
and he calculated and he noticed that the amount of charge in these particles was always the integer multiple of
32:28
exactly the same value. And that's a huge observation because it told it that
32:33
the charge was quantized. And by doing this measurement many many times he figured out what the charge of a single
32:40
electron would be that would be inside of one of these oil droplets. And he became multiple decimal digits close to
32:46
where it is. It's incredible that he managed to do this measurement as well. And his measurement essentially told us
32:52
what the charge of a single electron was in kulum. And that's the value. And finally based on that we can now
32:58
calculate based on the electron to mass ratio that we had from before. And 10 years later the charge of the electron.
33:06
And here is the mass of the electron. 9.1 * 10us 31 kilogram. Incredibly small
33:12
because it is a subatomic particle. How cool is that? this journey over history.
33:18
I'm I'm covering a decade of experimentation. I'm not even doing it justice. The amount of patience,
33:24
ingenuity that goes into doing this. But finally, we have the mass of the electron. Absolutely amazing. And there
33:31
you have it. I hope you enjoyed this video and have developed a new appreciation of how clever the physicists have been who come up with
33:37
techniques to measure these fundamental characteristics that make up nature. Now, in terms of the giveaway, I was
33:42
going to give away one Sigen HD oscilloscope, but when Siglet found out that I was doing this, they said, "We'll
33:47
match your donation." So, now we're going to give away two of them. What I did was that I went and I collected all the comments on the YouTube video when
33:54
this was originally announced, and I took all the members of the Patreon, mixed them up together, and drew two random ones out of there. I have put the
34:00
name of the people that have come up directly in the pinned comment below this video, and I'm going to contact them, and if they don't get back to me,
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I'll just do it again and come up with some more names. And I promise you that I'm going to do more of these giveaways in the future. Thanks to the Patreon
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supporters who make all of this possible, as well as the giveaways, your support goes directly back into making more interesting videos on the channel.
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I'll see you next time.