Instruments and Equipments

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Magnets

Type 1 Quad (also Quad2A )

Measurement on Magnetic field as a function of current dB/dI

Data File: File:Magnet T1Quad data.txt

ROOTSYS file to analyze this data, create figure and fit: File:Magnet T1Quad cpp.C

Figure and Fit:

T1Quad.png

File:T1Quad.pdf

Type 2 Quad (also Quad2T )

Measurement on Magnetic field as a function of current dB/dI

Length of the pole face of Quad2Tin z direction is 8 cm.

Data File: File:Magnet T2Quad data.txt

ROOTSYS file to analyze this data, create figure and fit: File:Magnet T2Quad cpp.C

Figure and Fit:

T2Quad.png

File:T2Quad.pdf

Magnet Mappings

Dr. Chouffani's Note

File:Magnet Mappings.pdf

Kiwi Dipole Mappings

Mapping of Quadruple Magnets

Second Mapping of Quadruple Magnets

Power supplies

ZUP

User manuals: File:Zup-user-manual.pdf

Other documents:

File:Zup-2.pdf

File:Zup-3.pdf


GENESYS

File:GenesysTM 750W-1500W-manual.pdf


Flag

Light on the flag

5 V. Brown and orange wires are for the light.

Camera on the Flag

12 V. Black and white wires are for the camera.

Air gate on the Flag

Open at 17 V, close at 7 V. Red and green wires are for the air gate.


Red = +17 V and Green = ground?
Green is connected to negative.

Current Camera dimension

Current camera in the flag is placed in the cylindrical tube of the flag. Camera can be slided into the flag, and the distance can be controlled. Camera itself is cylindrical shaped, and placed into a cylindrical tube. The tube has 2 cm of inner diameter and 3 cm of outer diameter. Camera has 2 cm diameter.

Current camera dimension Jul 18th 2010 1.jpg Current camera dimension Jul 18th 2010 2.jpg Current camera dimension Jul 18th 2010 3.jpg Current camera dimension Jul 18th 2010 4.jpg Current camera dimension Jul 18th 2010 5.jpg Current camera dimension Jul 18th 2010 6.jpg

JAI Camera

File:CV-A10GE Manual.pdf

http://www.jai.com/SiteCollectionDocuments/Camera_Solutions_Manuals/Guide_JAI-SFNC-CameraSettings.pdf

software download

http://www.jai.com/EN/CameraSolutions/Download/Pages/JAI_SDK_and_control_tool.aspx

http://www.1stvision.com/cameras/gige-camera-accessories.html


Cable

Part Number: CB-AVT-I/O-xx

Color Coding

PIN#               Color
1..................Brown
2..................Red
3..................Orange
4..................Yellow
5..................Green
6..................Blue
7..................Violet
8..................Gray
9..................White
10.................Pink
11.................Light Green
12.................Black
Shell..............Drain Wire

Rev.3 4/6/10

Hardware Triggering The Camera

Pulse signal need to be send to "TTL IN 1" (pin# 6, Blue), "TTL IN 2" (pin# 7, Violet) or "TTL IN 3" (pin# 10, Pink).

At JAI Camera Control Tool, set

c) Acquisition and Trigger COntrol:
"exposure mode" -> "Pulse-width control"
e) Digital I/O:
"Line Selector" -> "Line Source" -> "Hirose TTL In 1" (or In 2 and In3, depending on wich TTL In signal is being sended.)

JAI Camera Control

JAI Camera Triggering Control.png

Controlling the Camera with Labview

169.254.1.106

134.50.203.196

Third Party Software for JAI GigE Vision Cameras:

[1]

National Instruments - JAI GigE Vision cameras are compatible with NI's Vision Acquisition Software and related image processing modules, including integration with the LabVIEW graphical programming environment.


NI Machine Vision Software

[2]

National Instruments has been a leader in machine vision and image processing for nearly a decade and currently supports thousands of different cameras. To acquire, display, save, and monitor images from cameras, use NI Vision Acquisition software, which is included with all NI frame grabbers and sold separately for FireWire and Gigabit Ethernet image acquisition. To process images, NI Vision software comes in two different packages: the Vision Development Module and NI Vision Builder for Automated Inspection (AI). The Vision Development Module is a collection of hundreds of vision functions for programmers using NI LabVIEW, NI LabWindows/CVI, C/C++ or Visual Basic. Vision Builder AI is an interactive software environment for configuring, benchmarking and deploying machine vision applications without programming. Both software packages work with all NI Vision frame grabbers and the NI Compact Vision System.

Labview error message

LabViewCameErroMes 20101221.png

It looks like the NI software from 2009 was downloaded. There are 2 more recent versions. Perhaps if we use the latest software the error message will go away?


http://joule.ni.com/nidu/cds/view/p/id/2137/lang/en

OTR with Al

File:M.Castellan NIM A357 1995 pp231.pdf


Preferred camera:

http://www.ptgrey.com/products/flea2/flea2.pdf


saves images in ASCI format


6 Way Cross

Diameter of the window: 3 inches.

Distance from the 6-way-cross to the floor (Not from the center, but from the bottom window to the floor.): [math]37\frac{1}{4}[/math] inches = 94.615 cm.

The distance from the Center of HRRL beam pipe to the floor is: 106.3 cm

From the center of the 6-way cross to quartz window: 11.685 cm

The distance from the center of the OTR target (also the center of the 6-way cross) to the closest position we place our first lenses is 13 cm.

Edge to edge OTR cone diameter size ([math]4\theta[/math] angle,[math]\theta=\frac{1}{\gamma} = \frac{1}{\frac{10}{0.511}} [/math] ) at this distance is 2.665 cm.

Optics for Emittance Measurement in Feb 2010

Polarizer

Link: [3]

Features

N-BK7 Protective Window AR Coated for Visible Range (400 - 700 nm) High Polarization Efficiency: >99% (see the Plots Tab for Extinction Ratio Data) 0.3 mm Thick Dichroic Polarizing Film Scratch Dig: 40-20

Iris

SM2D25D - Ring-Activated SM2 Iris Diaphragm: [4]

Item #         Minimum Aperture            Maximum Aperture       Mechanism
SM2D25D        Ø1 mm (Ø0.04")              Ø25 mm (Ø0.98")        Ring

Ring actuated Irises are designed for integration into a 60 mm cage assembly, where the movement of a lever actuated iris would be hampered by the cage rods.

Price: $75.50

Lens

Diameter: 5 cm.


We can use 3 lens system to hold image directly at the sensing area of the CCD camera. Sensing are of the JAI CCD camera is 6.49(h) x 4.83 (v) mm and field of view of our interest has a diameter of 1 inch.

HRRL Emittance Optics OTR.png

Since OTR is placed 45 degree to vertical plane, one of the dimension of the OTR image actually is 1.796 cm. If we put this to vertical dimension of the camera and put the other dimension of image on the horizontal dimension of the camera, the magnifications we need to hold the view of our interest on the 50% of the sensing area of the camera will be:


[math] M_{v} = \frac{d_i}{d_o} = \frac{0.483 \times 0.5}{1.796} = 0.145 [/math]


[math] M_{h} = \frac{d_i}{d_o}= \frac{0.649 \times 0.5 }{2.54} = 0.128 [/math]


HRRL Emittance Optics Lay Out:

HRRL Emittance Optics Lay Out.png

In this telescope system magnification will be:

[math] M = \frac{f_2}{f_1} [/math]

So, we need to pick 2 lenses with optical length satisfy above ration. From the lower port of the 6-way cross the the floor is 94.6 cm. So, we have 90 cm place to place our camera system. So, I suggest we order camera with focal lens of 50 cm, 20, and 6, cm. These pieces can produce magnification that is small enough for experiment.

To avoid delay of experiment due to possible miscalculation, it is prudent to order 2 more lenses. One of them should be focusing and other one should be defocusing. In that case we can extend our optics as shown in following 2 figures;

HRRL Emittance Optics Lay Out Extended 1.png

HRRL Emittance Optics Lay Out Extended 2.png


Lenses for Basic Optical System Design:

Code Quantity Diameter (inches) Focal Length (cm) Coating Price for Each ($) link
LB1723-A - N-BK7 Bi-Convex Lens 1 2 6 ARC: 350-700 nm 30 [5]
LB1630-A - N-BK7 Bi-Convex Lens 1 2 10 ARC: 350-700 nm 29 [6]
LB1909-A - N-BK7 Bi-Convex Lens 1 2 50 ARC: 350-700 nm 29 [7]


Sub Total Price: $88


Lenses for Extended Optical System Design (Only for Extended Part):

Code Quantity Diameter (inches) Focal Length (cm) Price for Each ($) link
LB1199 - N-BK7 Bi-Convex Lens 1 2 20 29 [8]
LD1613-A - N-BK7 Bi-Concave Lens 1 1 -10 25.90 [9]


Sub Total Price: $ 54.9

Optical Test

Code Quantity Diameter Focal Length (mm) Price for Each ($) link
AX76654 1 51 mm 50 12.5 [10]
AX76960 1 51 mm 65 13.5 [11]
AX27361 (6 lens) 1 50 mm +-167,+-200,+500,-333 11.00 [12]
AX937793 1 50 mm 100 4.1 [13]
AX937795 1 50 mm 200 3 [14]


Sub Total: $44.1 ($30.87, if 30% off)

Cage System ($515.7)

Cage Assembly Rod

Code Quantity Length (inches) Length (cm) Price for Each ($) link
ER2 4 2 5.08 5.9 [15]
ER12 4 12 30.48 16.1 [16]
ER18 4 18 45.72 25.1 [17]


Sub Total Price: $188.4

60 mm Cage Plates

Code Quantity Price for Each ($) link
LCP01 3 31.3 [18]
LCP01T 3 35.50 [19]


Sub Total Price: $164.9

Dear Sadiq,
The LCP01T can hold 2" lens.  The maximum thickness for the optics would be 17.8mm (the part in contact with the retaining ring).  
You can find the drawing for the part at http://www.thorlabs.com/Thorcat/21400/21473-E0W.pdf
Please let me know if you have any further questions.
Best Regards
Jeremy Low
Technical Support
Polaris Low drift mirror mount, one of 2000 new products in V20!
Get your catalog at www.thorlabs.com/Catalog 
THORLABS Inc.
T (973) 579-7227 | F (973) 300-3600
www.thorlabs.com
- Show quoted text -

LCP02 - 30 mm to 60 mm Cage Plate Adapter

Code Quantity Price for Each ($) link
LCP02 1 37.8 [20]


Sub Total Price: $37.8


LCP03 - 60 mm Blank Cage Plate

Code Quantity Price for Each ($) link
LCP03 1 32.6 [21]


Sub Total Price: $32.6

Cage Assembly Platforms

Code Quantity Price for Each ($) link
LCPM 1 85.10 [22]


Sub Total Price: $85.1

LCPA1 - 60 mm Cage Alignment Plate

Code Quantity Price for Each ($) link
LCPA1 1 15.3 [23]


Sub Total Price: $15.3


Total for Cage System: $524.1

Imaging System Test

Cage system were constructed, and 3 lenses with focal length of 500 mm, 100 mm, and 65 mm used to take image.

Out most ring on the target has a diameter of 27 mm.

Lights and Laser on

Cage system imaging trials 1.jpg Cage system imaging trials 2.jpg Cage system imaging trials 3.jpg Cage system imaging trials 4.jpg

Following images are taken within distance of 45 cm (from target to CCD sensor).

Cage system imaging trials 5.jpg Cage system imaging trials 6.jpg Cage system imaging trials 7.jpg Cage system imaging trials 8.jpg

Dr. Kim's suggestion:
Dear Sadiq,
Good Job!
If you have some free time, please would you try to improve brightness of the captured image?
As you can see, the captured rings are somewhat dark now.
If it is needed, you may install a small LED illuminator toward the screen and a light-shielding box around the cage.
The bigger lens are also helpful to improve brightness.
Sincerely yours,
Yujong Kim

Following are images in dark, and laser on the target

Cage system imaging trials dark laser on 1.jpg Cage system imaging trials dark laser on 2.jpg Cage system imaging trials dark laser on 3.jpg Cage system imaging trials dark laser on 4.jpg Cage system imaging trials dark laser on 5.jpg Cage system imaging trials dark laser on 6.jpg Cage system imaging trials dark laser on 7.jpg Cage system imaging trials dark laser on 8.jpg Cage system imaging trials dark laser on 9.jpg Cage system imaging trials dark laser on 10.jpg Cage system imaging trials dark laser on 11.jpg Cage system imaging trials dark laser on 12.jpg Cage system imaging trials dark laser on 13.jpg Cage system imaging trials dark laser on 14.jpg Cage system imaging trials dark laser on 15.jpg

Lights on,Laser off

Inner most circle has a diameter of 7 mm.

Cage system imaging trials lightOn laserOff 1.jpg Cage system imaging trials lightOn laserOff 2.jpg Cage system imaging trials lightOn laserOff 3.jpg Cage system imaging trials lightOn laserOff 4.jpg Cage system imaging trials lightOn laserOff 5.jpg Cage system imaging trials lightOn laserOff 6.jpg Cage system imaging trials lightOn laserOff 7.jpg Cage system imaging trials lightOn laserOff 8.jpg Cage system imaging trials lightOn laserOff 9.jpg Cage system imaging trials lightOn laserOff 10.jpg Cage system imaging trials lightOn laserOff 11.jpg Cage system imaging trials lightOn laserOff 12.jpg Cage system imaging trials lightOn laserOff 13.jpg

Lights off,Laser off, Blue LED on

Cage system imaging trials lightoff laserOff Blue LED on1.jpg Cage system imaging trials lightoff laserOff Blue LED on2.jpg Cage system imaging trials lightoff laserOff Blue LED on3.jpg Cage system imaging trials lightoff laserOff Blue LED on4.jpg

Lights on,Laser off, Blue LED on

Cage system imaging trials lightoff laserOff Blue LED on5.jpg Cage system imaging trials lightoff laserOff Blue LED on6.jpg Cage system imaging trials lightoff laserOff Blue LED on7.jpg Cage system imaging trials lightoff laserOff Blue LED on8.jpg

Optics for Alinement

Positron Instruments and Equipments Optics for Alinement Khalids Opitics 1.jpg Positron Instruments and Equipments Optics for Alinement Khalids Opitics 2.jpg Positron Instruments and Equipments Optics for Alinement Khalids Opitics 3.jpg Positron Instruments and Equipments Optics for Alinement Khalids Opitics 4.jpg


4 mirrors (with mounts and stand )

Mount for Ø1" Optics with Visible Laser Quality Mirror

Price: $105.35

http://www.thorlabs.com/thorProduct.cfm?partNumber=KM100-E02

Tot for 4: $421.4

4 (at lest, 6 preferably) Irises (with stand )

Post-Mounted Iris Diaphragm, Ø20.0 mm Max Aperture

Price: $44.00

http://www.thorlabs.com/thorProduct.cfm?partNumber=ID20

Tot for 4: $176

1 focus and 1 defocus lens (with mounts and stand )

N-BK7 Bi-Convex Lenses (AR Coating: 350-700 nm)


http://www.thorlabs.com/thorProduct.cfm?partNumber=LB1945-A


N-BK7 and N-SF11 Bi-Concave Lenses


Price: $29.10

LD1464 - N-BK7 Bi-Concave Lens, Ø25.4 mm, f = -50.0 mm, Uncoated

http://www.thorlabs.com/thorProduct.cfm?partNumber=LD1464

Price: $18.90

Tot: 48


2 Translating Lens Mount for Ø1" Optics

http://www.thorlabs.com/thorProduct.cfm?partNumber=LM1XY

Price: $133.70

For 2: $267.4

1 optical Rail

http://www.thorlabs.com/thorProduct.cfm?partNumber=RLA1200

Price: $69.30

Optical Post

Stainless Steel Optical Posts: Ø1/2", Ø12.7 mm, and Ø12 mm

http://www.thorlabs.com/NewGroupPage9.cfm?ObjectGroup_ID=1266


We Want 4: Ø1/2" x 4" Stainless Steel Optical Post

Price: $5.87

http://www.thorlabs.com/thorProduct.cfm?partNumber=TR4

Tot: 23.48

Ø1/2" Utility Post Holders

http://www.thorlabs.com/NewGroupPage9.cfm?ObjectGroup_ID=1268


We want 10: Post Holder, L = 4.00"

http://www.thorlabs.com/thorProduct.cfm?partNumber=PH4

Price: $9.17

Tot for 8: $91.7

Post Holder Bases

http://www.thorlabs.com/NewGroupPage9.cfm?ObjectGroup_ID=47

2 of BA1 - Mounting Base, 1" x 3" x 3/8" : http://www.thorlabs.com/thorProduct.cfm?partNumber=BA1

Price: $5.60

For 2: $11.2


2 of BA1R - Magnetic Mounting Base, 1" x 3" x 3/8"

Price: $11.20

For 3: $33.6


Total

Element Quantity Price ($) Link
Protected Aluminum Mirror, 3.2 mm Thick 3 $24.90 http://www.thorlabs.us/thorProduct.cfm?partNumber=ME2-G01
Irises 3 $44.00 http://www.thorlabs.com/thorProduct.cfm?partNumber=ID20
Focusing lens 1 29.1 http://www.thorlabs.com/thorProduct.cfm?partNumber=LB1945-A
Defocusing lens 1 18.9 http://www.thorlabs.com/thorProduct.cfm?partNumber=LD1464
Translating Lens Mount 0 133.70 http://www.thorlabs.com/thorProduct.cfm?partNumber=LM1XY
Fixed Ø2" Optical Mount 1 $19.30 http://www.thorlabs.com/thorProduct.cfm?partNumber=FMP2
Optical Rail 1 69.30 http://www.thorlabs.com/thorProduct.cfm?partNumber=RLA1200
Optical Post 7 5.87 http://www.thorlabs.com/thorProduct.cfm?partNumber=TR4
Post Holder 10 9.17 http://www.thorlabs.com/thorProduct.cfm?partNumber=PH4
Post Holder Bases 2 5.60 http://www.thorlabs.com/thorProduct.cfm?partNumber=BA1
Magnetic Mounting Base 4 $11.20 http://www.thorlabs.com/thorProduct.cfm?partNumber=BA1R
Magnetic Base 3 $48.00 http://www.thorlabs.com/thorProduct.cfm?partNumber=MB175


Energy Slit

Danfysik water cooled Slit model 563, document from vendor:

File:DanfysikSlit563 vandor.pdf

Danfysik water cooled Slit model 563:

File:DanfysikSlit563.pdf

Fact Sheet:

File:DanfysikSlit563 FactSheet.pdf


Parts to build control circuit

Parts Quantity Digi Key Part No. Link
Push button Switch with 2 terminal. On-Off, Off-On. DPST (1-NO, 1-NC). 1 [24] [25] [26] [27]
12 V DC 0.6 A power supply 1 Input 85~264VAC, I_{max}=830mA, $15 [28].

Input 90~264VAC, I_{max}=625mA, $50 [29]

0.6~1 Amp fuse 1 [30][31][32][33][34]


IN 404 Diode 2 1N4004FSCT-ND [35] [36]
57 ohm 0.5 w resistor 2 flame redundant coating [37], [38]
11V or 12V 50 mAmp LED light (Only 20 mA available) 2 67-1067-ND [39]
12V DC relay 1 Z2276-ND [40]
Cable A Cable with 13 wire (8 for control, 5 for potentiometer sensor).



Slit-Aperture vs. Potentiometer-Resistance

Slits has two side: Copper and White metal. There are resistors connected the bolts on the copper side. White metal side has smaller aperture. Thus white metal side should face up stream of the beam line, since this side define beam aperture.

Copper side - Downstream side

This copper side, this measurement is useless.

Slit aperture size (mm) Resistance at Potentiometer (k[math] \Omega [/math])
39.78 [math] \pm [/math] 0.1 9.38 [math] \pm [/math] 0.005
37.64 [math] \pm [/math] 0.1 8.97 [math] \pm [/math] 0.005
35.71 [math] \pm [/math] 0.1 8.48 [math] \pm [/math] 0.005
33.76 [math] \pm [/math] 0.1 8.00 [math] \pm [/math] 0.005
31.59 [math] \pm [/math] 0.1 7.49 [math] \pm [/math] 0.005
29.86 [math] \pm [/math] 0.1 7.00 [math] \pm [/math] 0.005
27.62 [math] \pm [/math] 0.1 6.48 [math] \pm [/math] 0.005
25.83 [math] \pm [/math] 0.1 6.00 [math] \pm [/math] 0.005
23.62 [math] \pm [/math] 0.1 5.50 [math] \pm [/math] 0.005
21.57 [math] \pm [/math] 0.1 4.99 [math] \pm [/math] 0.005
19.33 [math] \pm [/math] 0.1 4.50 [math] \pm [/math] 0.005
17.32 [math] \pm [/math] 0.1 3.99 [math] \pm [/math] 0.005
15.22 [math] \pm [/math] 0.1 3.50 [math] \pm [/math] 0.005
12.88 [math] \pm [/math] 0.1 2.99 [math] \pm [/math] 0.005
10.42 [math] \pm [/math] 0.1 2.486 [math] \pm [/math] 0.005
8.66 [math] \pm [/math] 0.1 1.999 [math] \pm [/math] 0.005
This is smallest aperture, yet it is not closed. I don't have tool to measure it. 0.147 [math] \pm [/math] 0.005


White metal side - Upstream side

This side has white metal, has smaller aperture. This aperture closes. This side should face upstream side of the beam line.

Measurement

Slit aperture size (mm) Resistance at Potentiometer (k[math] \Omega [/math])
37.60 [math] \pm [/math] 0.1 9.40 [math] \pm [/math] 0.01
35.80 [math] \pm [/math] 0.1 9.20 [math] \pm [/math] 0.01
34.95 [math] \pm [/math] 0.1 9.00 [math] \pm [/math] 0.01
34.25 [math] \pm [/math] 0.1 8.80 [math] \pm [/math] 0.01
33.38 [math] \pm [/math] 0.1 8.60 [math] \pm [/math] 0.01
32.49 [math] \pm [/math] 0.1 8.40 [math] \pm [/math] 0.01
31.80 [math] \pm [/math] 0.1 8.20 [math] \pm [/math] 0.01
31.03 [math] \pm [/math] 0.1 8.00 [math] \pm [/math] 0.01
30.37 [math] \pm [/math] 0.1 7.80 [math] \pm [/math] 0.01
29.31 [math] \pm [/math] 0.1 7.60 [math] \pm [/math] 0.01
28.55 [math] \pm [/math] 0.1 7.40 [math] \pm [/math] 0.01
27.69 [math] \pm [/math] 0.1 7.20 [math] \pm [/math] 0.01
26.94 [math] \pm [/math] 0.1 7.00 [math] \pm [/math] 0.01
26.10 [math] \pm [/math] 0.1 6.80 [math] \pm [/math] 0.01
25.33 [math] \pm [/math] 0.1 6.60 [math] \pm [/math] 0.01
24.51 [math] \pm [/math] 0.1 6.40 [math] \pm [/math] 0.01
23.48 [math] \pm [/math] 0.1 6.20 [math] \pm [/math] 0.01
22.66 [math] \pm [/math] 0.1 6.00 [math] \pm [/math] 0.01
(21.91+21.86+21.92,21.99+22.01+21.85+21.87+21.94)/8 = 21.92 [math] \pm [/math] 0.1 5.80 [math] \pm [/math] 0.01
21.43 [math] \pm [/math] 0.1 5.70 [math] \pm [/math] 0.01
21.02 [math] \pm [/math] 0.1 5.60 [math] \pm [/math] 0.01
20.56 [math] \pm [/math] 0.1 5.50 [math] \pm [/math] 0.01
20.26 [math] \pm [/math] 0.1 5.40 [math] \pm [/math] 0.01
19.72 [math] \pm [/math] 0.1 5.30 [math] \pm [/math] 0.01
19.35 [math] \pm [/math] 0.1 5.20 [math] \pm [/math] 0.01
18.91 [math] \pm [/math] 0.1 5.10 [math] \pm [/math] 0.01
18.68 [math] \pm [/math] 0.1 5.00 [math] \pm [/math] 0.01
18.09 [math] \pm [/math] 0.1 4.90 [math] \pm [/math] 0.01
17.83 [math] \pm [/math] 0.1 4.80 [math] \pm [/math] 0.01
17.42 [math] \pm [/math] 0.1 4.70 [math] \pm [/math] 0.01
16.93 [math] \pm [/math] 0.1 4.60 [math] \pm [/math] 0.01
16.47 [math] \pm [/math] 0.1 4.50 [math] \pm [/math] 0.01
16.06 [math] \pm [/math] 0.1 4.40 [math] \pm [/math] 0.01
15.60 [math] \pm [/math] 0.1 4.30 [math] \pm [/math] 0.01
15.23 [math] \pm [/math] 0.1 4.20 [math] \pm [/math] 0.01
14.96 [math] \pm [/math] 0.1 4.10 [math] \pm [/math] 0.01
14.47 [math] \pm [/math] 0.1 4.00 [math] \pm [/math] 0.01

Measurement Data

File:Energy Slit Size-vs-PotReistance.txt

Slit aperture  Resistance at 
size (mm) 	Potentiometer (kΩ)
with error     with error
---------------------------
37.60  0.1 	9.40  0.01
35.80 	0.1 	9.20  0.01
34.95 	0.1 	9.00  0.01
34.25 	0.1 	8.80  0.01
33.38 	0.1 	8.60  0.01
32.49 	0.1 	8.40  0.01
31.80 	0.1 	8.20  0.01
31.03 	0.1 	8.00  0.01
30.37 	0.1 	7.80  0.01
29.31 	0.1 	7.60  0.01
28.55  0.1 	7.40  0.01
27.69 	0.1 	7.20  0.01
26.94 	0.1 	7.00  0.01
26.10 	0.1 	6.80  0.01
25.33  0.1 	6.60  0.01
24.51  0.1 	6.40  0.01
23.48  0.1 	6.20  0.01
22.66  0.1 	6.00  0.01
21.92  0.1 	5.80  0.01
21.43  0.1 	5.70  0.01
21.02  0.1 	5.60  0.01
20.56  0.1 	5.50  0.01
20.26  0.1 	5.40  0.01
19.72  0.1 	5.30  0.01
19.35  0.1 	5.20  0.01
18.91  0.1 	5.10  0.01
18.68  0.1 	5.00  0.01
18.09  0.1 	4.90  0.01
17.83  0.1 	4.80  0.01
17.42  0.1 	4.70  0.01
16.93 	0.1 	4.60  0.01
16.47  0.1 	4.50  0.01
16.06  0.1 	4.40  0.01
15.60 	0.1 	4.30  0.01
15.23  0.1 	4.20  0.01
14.96 	0.1 	4.10  0.01
14.47  0.1 	4.00  0.01

Slit aperture   with their 
size (mm) 	 errors
with 
Resistance at
Potentiometer 
(kΩ)
S(mm)  R(kΩ)  er_S(mm) er_R(kΩ) 
----------------------------   
37.6	9.4	0.1	0.01
35.8	9.2	0.1	0.01
34.95	9	0.1	0.01
34.25	8.8	0.1	0.01
33.38	8.6	0.1	0.01
32.49	8.4	0.1	0.01
31.8	8.2	0.1	0.01
31.03	8	0.1	0.01
30.37	7.8	0.1	0.01
29.31	7.6	0.1	0.01
28.55	7.4	0.1	0.01
27.69	7.2	0.1	0.01
26.94	7	0.1	0.01
26.1	6.8	0.1	0.01
25.33	6.6	0.1	0.01
24.51	6.4	0.1	0.01
23.48	6.2	0.1	0.01
22.66	6	0.1	0.01
21.92	5.8	0.1	0.01
21.43	5.7	0.1	0.01
21.02	5.6	0.1	0.01
20.56	5.5	0.1	0.01
20.26	5.4	0.1	0.01
19.72	5.3	0.1	0.01
19.35	5.2	0.1	0.01
18.91	5.1	0.1	0.01
18.68	5	0.1	0.01
18.09	4.9	0.1	0.01
17.83	4.8	0.1	0.01
17.42	4.7	0.1	0.01
16.93	4.6	0.1	0.01
16.47	4.5	0.1	0.01
16.06	4.4	0.1	0.01
15.6	4.3	0.1	0.01
15.23	4.2	0.1	0.01
14.96	4.1	0.1	0.01
14.47	4	0.1	0.01


Linear Fit for Data

Data for 37.6 mm aperture was excluded from fit because it is far off from the straight line (manufacture claims biggest aperture is 35 mm, could be we are exceeded this value).

S(mm)  R(kΩ)  er_S(mm) er_R(kΩ)   
37.6	9.4	0.1	0.01


Pot resistance vs Aperture size

The fit is:

[math] y = (-2.049 \pm 0.034) + (4.1265 \pm 0.0053)x [/math]

When units are mm for Slitize (S), k[math]\Omega [/math] Resistance (R)

[math] S = (-2.049 \pm 0.034) + (4.1265 \pm 0.0053)R [/math]

Hrrl beam parts energy slit Pot Resistance vs Apture size.png


Aperture size vs Pot resistance

The fit is:

[math] y = (0.498 \pm 0.031) + (0.2423 \pm 0.0013)x [/math]

or, when units are mm for Slitize (S), k[math]\Omega [/math] Resistance (R)

[math] R = (0.498 \pm 0.031) + (0.2423 \pm 0.0013)S [/math]


Hrrl beam parts energy slit Apture size vs Pot Resistance.png




Positrons