National Instruments SCXI-1121 Manual

National Instruments™, NI™, ni.com™, NI-DAQ™, and SCXI™ are trademarks of National Instruments Corporation. Product and company names
mentioned herein are trademarks or trade names of their respective companies.
370258B-01 ©2000, 2001 National Instruments Corp. All rights reserved. September 2001
CALIBRATION PROCEDURE
SCXI -1121
Introduction
This document contains information and step-by-step instructions for
calibrating the National Instruments (NI) SCXI-1121 module.
What Is Calibration?
Calibration consists of verifying the measurement accuracy of a module
and adjusting for any measurement error. Verification is measuring the
performance of the module and comparing these measurements to the
factory specifications. During calibration, you supply and read voltage
levels using external standards, then you adjust the module calibration
constants. This circuitry compensates for any inaccuracies in the module,
and returns the accuracy of the module to the factory specifications.
Why Should You Calibrate?
The accuracy of electronic components drifts with time and temperature,
which can affect measurement accuracy as a module ages. Calibration
restores these components to their specified accuracy and ensures that the
module still meets NI standards.
How Often Should You Calibrate?
The measurement requirements of your application determine how often
the SCXI-1121 module needs to be calibrated to maintain accuracy.
NI recommends that you perform a complete calibration at least once every
year. You can shorten this interval to 90 days or six months based on the
demands of your application.
™

SCXI-1121 Calibration Procedure 2 ni.com
Equipment and Other Test Requirements
This section describes the test equipment, software, documentation, and
test conditions required for calibrating the SCXI-1121 module.
Test Equipment
Calibration requires a high-precision voltage source with at least 50 ppm
accuracy, a multiranging 5 1/2 digit digital multimeter (DMM) with
15 ppm accuracy, and 120 and 800 Ω±10% precision resistors.
Instruments
NI recommends the following instruments for calibrating the SCXI-1121
module:
• Calibrator—Fluke 5700A
• DMM—NI 4060 or HP 34401A
If these instruments are not available, use the accuracy requirements listed
previously to select substitute calibration instruments.
Connectors
If you do not have custom connection hardware, you need the following
connectors:
• Terminal block, such as the SCXI-1320
• Shielded 68-pin connector cable
• 50-pin ribbon cable
• 50-pin breakout box
• SCXI-1349 adapter
These components give easy access to the individual pins on the
SCXI-1121 front and rear connectors.
Software and Documentation
You do not need any special software or documentation to calibrate the
SCXI-1121 module. This calibration document contains all the information
you need to complete the verification and adjustment procedures. If you
would like more information on the module, refer to the SCXI-1121 User
Manual.

©National Instruments Corporation 3 SCXI-1121 Calibration Procedure
Test Conditions
Follow these guidelines to optimize the connections and environment
during calibration:
• Keep connections to the SCXI-1121 module short. Long cables and
wires act as antennae, picking up extra noise and thermal offsets that
can affect measurements.
• Use shielded copper wire for all cable connections to the device.
Use twisted-pair wire to eliminate noise and thermal offsets.
• Maintain the temperature between 18–28 °C.
• Keep relative humidity below 80%.
• Allow a warm-up time of at least 15 minutes for the SCXI-1121
module to ensure the measurement circuitry is at a stable operating
temperature.
Calibration
The calibration procedure for the SCXI-1121 module consists of the
following steps:
1. Setting up the module for testing.
2. Verifying the existing operation of the module to determine whether it
is operating within its specifications.
3. Adjusting the module with respect to a known voltage source.
4. Verifying that the module is operating within its specifications after
adjustments.

SCXI-1121 Calibration Procedure 4 ni.com
Setting Up the Module
Complete the following steps to set up the SCXI-1121 module for
verification:
1. Remove the grounding screw from the module.
2. Remove the cover on the module to access the potentiometers.
Refer to Figure 1 for an illustration of steps 1 and 2.
Figure 1. Grounding Screw and Cover Removal
3. Remove the side plate of the SCXI chassis.
4. Install the module into slot 4 of the SCXI chassis.
1 Grounding Screw 2 Module Cover
1
2

©National Instruments Corporation 5 SCXI-1121 Calibration Procedure
Refer to Figure 2 for an illustration of steps 3 and 4.
Figure 2. Side Plate Removal and Module Installation
The SCXI-1121 module does not need to be connected to a data acquisition
(DAQ) device. Leave the configuration of the digital jumpers W41–W45
and W46 unchanged because they do not affect this procedure.
Configuring the Half-Bridge Completion Jumpers
Verify that the half-bridge completion network is disabled prior to
calibrating the module. Refer to Figure 3 for the location of the jumpers and
Table 1 for the correct jumper settings to disable the network.
1 Thumbscrews 2Slot4 3 Side Plate
®
23
MAINFRAME
SCXI
NATIONAL
INSTRUMENTS
1

SCXI-1121 Calibration Procedure 6 ni.com
Figure 3. SCXI-1121 Parts Locator Diagram
1 Thumbscrews
2 Voltage and Current Adjust
3 Front Connector
4 Serial Number
5 Output Null Adjust Potentiometers
6 Second-Stage Filter Jumpers
7 Rear Signal Connector
8 Product Name, Assembly Number, Revision Letter
9 SCXIbus Connector
10 Terminal Block Mounting Hole
11 Excitation Level Jumpers
12 First-Stage Filter Jumpers
13 Second-Stage Gain Jumpers
14 First-Stage Gain Jumpers
15 Half-Bridge Completion Jumpers
16 Input Null Adjust Potentiometers
17 Excitation Mode Jumpers
18 Grounding Screw
Q2
U4
U7
R3
W33
R2
W32
R6
R7
R12
R13
R16
R17
R26
C2 C3
W1
W3
W14
W15
W16
W17
W18
W19
W27
W28
W29
W36
Q3
Q5
Q6
Q9
Q14
D1
D2
D3 D4
D11
D14
D15 D16
U18
U24
U28
U31
U39
W26
R33
U35
R10
U15
C14
C30
Q13
R277
C24
C25
D9
U6
C18
C424
U38
R275
R276
U2
Q1 U1
U19
U20
C125
W31
W30
Q4
W21
U3
C42
U22
L1 L2
C22
C21
J2
R274
R1 R15 R25
R8
R35
W20
U17
W4
W5
R21
C19
D6
U14
D5
C26
W38
C85
R5
R4
C70
R28
R27
W35
R30
D23
C29
D29
D38
R29
D22
D37
D28
U36
R32
R31
W34
Q20D34
W49
J1
R22
W24
R18
U25
W23
W22
Q7
R20
R19
D10
C36
W6
W8
W9
W10
W11
W12
W13
U40
D7
D21
D17
Q18
D39
C37
D30
Q16 Q17
C423
C15
C39
C38
R45
C33
D13
W25
C20
R46 C143
U51
D40
R281
W45
U61
R99
U27
U33
U9U8
R11
U21
C27
D41
U37
Q21
U48
U60
U50
C34
D19 D20
C425
U5
C16
D18
D26
D27
D36
D35
U47
U46
C32
R23
U11
C105
D12 Q8
U30
U42
D25 Q12
D24 Q11
U41
U34
U16
R9
U10
U23
U29
Q10
W2
W7
U44
U32
W37
U26
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HCT08 HCT00 HC05
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GAINDIP
PRIMARY
PRIMARY
GAINDIP
RES
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RES
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RES
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DG409
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34072
MC
GAINDIP
34072 MC
AD705
34072
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RES
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HCT03
HCT240
HCT273
ASSY181505F-01
SCXI-1121
HCT165
9
1
3
1
5
R42
R43
W41
Q19
R40
W42
W43
D32
D31
D33
R41
R38
R37
U43
W48W47
R39
U45
AD705
GAINDIP
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R36
W39
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W40
W41
W42
W43
BAEDCBADCBABA
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R36 Q15
W46
R273
W48W47
W39
16
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Front Rear
15
18

©National Instruments Corporation 7 SCXI-1121 Calibration Procedure
Configuring the Gain Jumpers
Each input channel has two user-configurable gain stages. The first-stage
gain provides gains of 1, 10, 50, and 100. The second-stage gain provides
gains of 1, 2, 5, 10, and 20. The device ships with the first-stage gain set to
100 (position A) and the second-stage gain set to 10 (position D).
To change the gain setting of a specified channel on the module, refer to
Table 2 for the jumper reference designator of the channel gain stage you
want to change, and Figure 3 for the location of this jumper. Move the
jumper to the position indicated in Table 3.
Table 1. Completion Network Jumpers
Channel Jumpers
Enable
Completion
Disable Network
(Factory Setting)
0W1 and W2
1W17 and
W18
2W27 and
W28
3W39 and
W40
A B
W2
W1
1 2 3
A B
W2
W1
1 2 3
W18
A B
W17
1 2 3
W18
A B
W17
1 2 3
W28
A B
W27
1 2 3
W28
A B
W27
1 2 3
W40
A B
W39
1 2 3
W40
A B
W39
1 2 3

SCXI-1121 Calibration Procedure 8 ni.com
The order of the settings for the first- and second-stage gain does not matter
as long as the first-stage gain multiplied by the second-stage gain equals the
desired final gain value.
Configuring the Filter Jumpers
Each input channel also has two user-configurable filter stages.
The SCXI-1121 module ships in the 4 Hz position. Refer to Table 4 to find
the correct jumper setting for the desired cutoff frequency. Figure 3 shows
the locations of the jumper blocks on the SCXI-1121 module. Verify that
both filter stages are set to the same filter setting to ensure that you achieve
the desired bandwidth.
Table 2. Gain Jumper Reference Designators
Input Channel
Number
First-Stage
Gain Jumper
Second-Stage
Gain Jumper
0W3 W4
1W19 W20
2W29 W30
3W41 W42
Table 3. Gain Jumper Positions
Gain Setting Jumper Position
First-Stage 1 D
10 C
50 B
100 A (factory setting)
Second-Stage 1 A
2 B
5 C
10 D (factory setting)
20 E

©National Instruments Corporation 9 SCXI-1121 Calibration Procedure
Configuring the Excitation Jumpers
You can configure each excitation channel of the SCXI-1121 module to
either a voltage or current excitation mode. Each channel has two jumpers
for this purpose. Set both jumpers in the same mode for correct operation
of the excitation channel. Refer to Table 5 to determine how to set up the
module in the mode you want. The SCXI-1121 module ships to you in the
voltage mode.
Table 4. Filter Jumper Settings
Input
Channel
Number
First Filter Jumper Second Filter Jumper
4 Hz
(Factory
Setting) 4 kHz
4 Hz
(Factory
Setting) 4 kHz
0W5-A W5-B W6 W7
1W21-A W21-B W8 W9
2W31-A W31-B W10 W11
3W43-A W43-B W12 W13
Table 5. Voltage and Current Mode Excitation Jumper Settings
Excitation
Channel Jumpers
Voltage Mode
(Factory Setting) Current Mode
0W14 and
W15
1W22 and
W23
2W34 and
W35
3W46 and
W47
W14
1 2 3
W15
1 2 3
W14
1 2 3
W15
1 2 3
W22
1 2 3
W23
1 2 3
W22
1 2 3
W23
1 2 3
W34
1 2 3
W35
1 2 3
W34
1 2 3
W35
1 2 3
W46
1 2 3
W47
1 2 3
W46
1 2 3
W47
1 2 3

SCXI-1121 Calibration Procedure 10 ni.com
Configuring the Excitation Level
Each excitation channel of the SCXI-1121 module has two different current
or voltage levels. You can set a given channel to one of the following level
modes:
• In the current mode—0.150 or 0.450 mA
• In the voltage mode—3.333 or 10 V
After selecting the excitation mode of operation desired—voltage or
current—as described in the previous section, refer to Table 6 to set the
SCXI-1121 module for the level of operation. The SCXI-1121 module
ships with the voltage mode set to 3.333 V.
Table 6. Excitation Level Jumper Settings
Excitation
Channel Jumpers
3.333 V or
0.150 mA
(Factory Setting) 10 V or 0.450 mA
0W16 and
W26
1W24 and
W25
2W36 and
W37
3W48 and
W49
W16
1 2 3
1
2
3
W26 W16
1 2 3
1
2
3
W26
W24
1 2 3
W25
1 2 3
W24
1 2 3
W25
1 2 3
W36
1 2 3
W37
1 2 3
W36
1 2 3
W37
1 2 3
W48
1 2 3
W49
1 2 3
W48
1 2 3
W49
1 2 3

©National Instruments Corporation 11 SCXI-1121 Calibration Procedure
Verifying the Operation of the Module
The verification procedure determines how well the SCXI-1121 module
is meeting its specifications. You can use this information to select the
appropriate calibration interval for your application. Refer to the Setting Up
the Module section for information on how to configure the channel gain,
channel filter, and excitation level.
Verifying Analog Input Offsets
Complete the following steps to verify the analog input offsets:
1. Read the Test Conditions section in this document.
2. Refer to Table 12 in the Specifications section for all acceptable
settings for the module. NI recommends verifying all ranges and gains,
but you can save time by checking only those ranges used in your
application.
3. Set the channel gain on all channels to the gain you want to test,
starting with the smallest gain available for the module. Table 12
shows available gains.
4. Set the channel filter for all channels on the module to 10 kHz.
5. Connect the calibrator to the analog input channel you are testing,
starting with channel 0. If you do not have an SCXI terminal block
such as the SCXI-1320, refer to Table 7 to determine the pins on the
96-pin front connector that correspond to the positive and negative
inputs of the specified channel. For example, the positive input for
channel 0 is pin A32, which is labeled CH0+. The negative input for
channel 0 is pin C32, which is labeled CH0–.
Table 7. SCXI-1121 Front Connector Pin Assignments
Pin Number Column A Column B Column C
32 CH0+ NC CH0–
31 NC NC NC
30 EX0+ NC EX0–
29 NC NC NC
28 EGND0 NC NC
27 NC NC NC
26 CH1+ NC CH1–
25 NC NC NC
24 EX1+ NC EX1–

SCXI-1121 Calibration Procedure 12 ni.com
23 NC NC NC
22 EGND1 NC NC
21 NC NC NC
20 CH2+ NC CH2–
19 NC NC NC
18 EX2+ NC EX2–
17 NC NC NC
16 EGND2 NC NC
15 NC NC NC
14 CH3+ NC CH3–
13 NC NC NC
12 EX3+ NC EX3–
11 NC NC NC
10 EGND3 NC NC
9NC NC NC
8NC NC RSVD
7NC NC NC
6SCAL NC RSVD
5NC NC NC
4+5V NC MTEMP
3NC NC NC
2CGND NC DTEMP
1NC NC NC
NC—No connect
Table 7. SCXI-1121 Front Connector Pin Assignments (Continued)
Pin Number Column A Column B Column C

©National Instruments Corporation 13 SCXI-1121 Calibration Procedure
6. Set the DMM to voltage mode, and connect it to the output of the same
channel to which the calibrator was connected in step 5. Refer to
Figure 4 to determine the pins on the 50-pin rear connector that
correspond to the positive and negative outputs for the specified
channel. For example, the positive output for channel 0 is pin 3, which
is labeled MCH0+. The negative output for channel 0 is pin 4, which
is labeled MCH0–.
Figure 4. SCXI-1121 Rear Connector Pin Assignments
7. Set the calibrator voltage to the value specified by the Test Point entry
listed in Table 12.
8. Read the resulting output voltage on the DMM. If the output voltage
result falls between the Upper Limit and the Lower Limit values, the
module passed the test.
9. Repeat steps 5 through 8 for the remaining test points.
10. Repeat steps 5 through 9 for the remaining analog input channels.
RSVD
SERCLK
DIG GND
SLOT0SEL*
DAQD*/A
SERDATIN
OUTREF
MCH4+
MCH3+
MCH2+
MCH1+
MCH0+
AOGND
SCANCLK
SERDATOUT
DIG GND
MCH4–
MCH3–
MCH2–
MCH1–
MCH0–
AOGND
49 50
47 48
45 46
43 44
41 42
39 40
37 38
35 36
33 34
31 32
29 30
27 28
25 26
23 24
21 22
19 20
17 18
15 16
13 14
11 12
910
78
56
34
12

SCXI-1121 Calibration Procedure 14 ni.com
11. Repeat steps 3 through 10 for the remaining gain and filter values
specified in Table 12.
You have completed verifying the analog input offsets. If any of your
measurements fall outside the specifications listed in Table 12, adjust the
module as described in the Adjusting Analog Input Offsets section.
Verifying Voltage Excitation Limits
Complete the following steps to verify the voltage excitation limits:
1. Connect a 120 Ω resistor to the output of the excitation channel you are
testing, starting with excitation channel 0.
If you have a terminal block such as the SCXI-1320, the excitation
channel connections are marked on the terminal block. If you do not
have a terminal block, refer to Table 7 for connection information.
2. Configure the excitation channel to the 3.333 V level.
3. Connect the DMM leads to the excitation output as closely as possible
to the resistor body.
4. Compare the DMM reading to the limits for excitation shown in
Table 8. If the reading falls between the Upper Limit and the Lower
Limit values, the module passed the test.
5. Configure the excitation channel to the 10 V level, replace the 120 Ω
resistor with the 800 Ωresistor, and repeat steps 3 and 4.
6. Repeat steps 2 through 5 for all remaining channels.
You have completed verifying the voltage excitation limits. If any of your
measurements fall outside the specifications listed in Table 8, adjust the
module as described in the Adjusting Voltage Excitation section.
Verifying Current Excitation Limits
Complete the following steps to verify current excitation limits:
1. Remove the resistor from the excitation channel if you have not already
done so.
2. Configure the channel to the 0.150 mA excitation level.
3. Set the DMM to current mode, and connect it to the excitation channel
output, starting with excitation channel 0.
Table 8. SCXI-1121 Voltage Excitation Limits
Test Point (V) Upper Limit (V) Lower Limit (V)
3.333 3.337000 3.329000
10 10.020000 9.980000

©National Instruments Corporation 15 SCXI-1121 Calibration Procedure
If you do not have a terminal block, refer to Figure 3 for connection
information.
4. Compare the DMM reading to the limits for excitation shown in
Table 9. If the reading falls between the Upper Limit and Lower Limit
values, the module passed the test.
5. Configure the channel for 0.450 mA excitation level and repeat
steps 2 and 4.
6. Repeat steps 2 through 5 for all remaining channels.
You have completed verifying the current excitation limits. If any of your
measurements fall outside the specifications listed in Table 9, adjust the
module as described in the Adjusting Current Excitation section.
Adjusting the Module
This section contains adjustment procedures for the analog input offsets,
the voltage excitation limits, and the current excitation limits. Refer to the
Setting Up the Module section for information on how to configure the
channel gain, channel filter, and excitation level.
Adjusting Analog Input Offsets
Complete the following steps to adjust the offset null value:
1. Set the channel gain on the channel you are adjusting to a gain of 1.
Set the filter value to 4 Hz.
2. Connect the calibrator to the analog input channel you want to adjust.
Refer to Table 7 to determine the pins on the 96-pin front connector
that correspond to the positive and negative inputs of the specified
channel. For example, the positive input for channel 0 is pin A32,
which is labeled CH0+. The negative input for channel 0 is pin C32,
which is labeled CH0–.
3. Set the DMM to voltage mode, and connect it to the output of the same
channel to which the calibrator was connected in step 2. Refer to
Figure 4 to determine the pins on the 50-pin rear connector that
corresponds to the positive and negative outputs for the specified
channel. For example, the positive output for channel 0 is pin 3, which
is labeled MCH0+. The negative output for channel 0 is pin 4, which
is labeled MCH0–.
Table 9. SCXI-1121 Current Excitation Limits
Test Poin t (m A) Upper Limit (mA) Lower Limit (mA)
0.150 0.150060 0.149940
0.450 0.450900 0.449100

SCXI-1121 Calibration Procedure 16 ni.com
4. Set the calibrator to output 0.0 V.
5. Adjust the output null potentiometer of the channel until the DMM
reading is 0.0 ±3.0 mV. Refer to Figure 3 for the potentiometer
location and Table 10 for the potentiometer reference designator.
6. Set the channel gain to a gain of 1000.0 on the channel you are
adjusting. Refer to Tables 2, 3, and 4 for more information.
7. Adjust the input null potentiometer of channel 0 until the DMM
reading is 0.0 ±6.0 mV. Refer to Figure 3 for the potentiometer
location and Table 10 for the potentiometer reference designator.
8. Repeat steps 1 through 7 for the remaining analog inputs.
You have completed adjusting the analog input offsets.
Adjusting Voltage Excitation
When you adjust the excitation channels, you should always start with the
voltage excitation and then proceed to the current excitation. Use the
voltage excitation reference as the voltage reference for the current
excitation.
Complete the following steps to adjust the voltage excitation:
1. Connect the 120 Ω resistor across the output of the excitation channel
you are adjusting.
2. Configure the excitation channel to 3.333 V excitation level.
3. Connect the DMM leads to the excitation outputs as closely as possible
to the resistor body.
4. Adjust the excitation voltage potentiometer until the voltage reading
falls between 3.337 and 3.329 V. Refer to Figure 3 for the
potentiometer location and Table 11 for the potentiometer reference
designator.
Table 10. Calibration Potentiometers Reference Designators
Input Channel Number Input Null Output Null
0R02 R03
1R16 R04
2R26 R05
3R36 R06

©National Instruments Corporation 17 SCXI-1121 Calibration Procedure
5. Configure the excitation channel for the 10 V excitation level.
6. Remove the 120 Ω resistor and connect the 800 Ω resistor across the
output of the excitation channel.
7. Adjust the excitation voltage potentiometer until the voltage reading
falls between 10.02 and 9.98 V.
8. Repeat steps 1 through 7 for all remaining channels.
You have completed adjusting the voltage excitation channels.
Adjusting Current Excitation
Complete the following steps to adjust the current excitation:
1. Remove the resistor from the excitation channel if you have not already
done so.
2. Configure the channel for 0.150 mA current excitation level.
3. Set the DMM to current mode and connect it to the excitation channel
output you want to adjust. Adjust the excitation current potentiometer
until the current reading falls between 0.150060–0.149940 mA. Refer
to Figure 3 for the potentiometer location and Table 11 for the
potentiometer reference designator.
4. Configure the channel for 0.450 mA current excitation level.
5. Adjust the excitation current potentiometer until the current reading
falls between 0.450900–0.449100 mA. Refer to Figure 3 for the
potentiometer location and Table 11 for the potentiometer reference
designator.
6. Repeat steps 1 through 5 for all remaining channels.
You have completed adjusting the current excitation channels.
Table 11. Excitation Calibration Potentiometer Reference Designators
Input Channel
Number
Excitation Channel
Voltage Mode Current Mode
0R10 R7
1R20 R17
2R30 R27
3R40 R37

SCXI-1121 Calibration Procedure 18 ni.com
Verifying Adjusted Values
After completing the adjustments, it is important to verify the analog
input operation, the voltage excitation, and the current excitation again by
repeating the steps listed in the Verifying the Operation of the Module
section. Verifying the adjusted values ensures that the SCXI-1121 module
is operating within its specifications after adjustments.
Note If the SCXI-1121 module fails after calibration, return it to NI for repair or
replacement.

©National Instruments Corporation 19 SCXI-1121 Calibration Procedure
Specifications
Table 12 contains test specifications for the SCXI-1121 module. If the
device was calibrated within the last year, the output from the module
should fall between the Upper Limit and Lower Limit values.
Table 12. SCXI-1121 Specifications
Gain Test Point (V)
4Hz filter setting 10kHz filter setting
Upper
Limit (V)
Lower
Limit (V)
Upper
Limit (V)
Lower
Limit (V)
0.011225.0000 2.269765 2.230236 2.346618 2.303382
0.0110.0000 0.005144 –0.05144 0.006510 –0.006510
0.011–225.0000 –2.230236 –2.269765 –2.303382 –2.346618
0.021225.0000 4.534387 4.465613 3.750713 3.689287
0.0210.0000 0.005146 –0.005146 0.006540 –0.006540
0.021–225.0000 –4.465613 –4.534387 –3.689287 –3.750713
0.05190.0000 4.534387 4.465614 4.686836 4.613164
0.0510.0000 0.005146 –0.005146 0.006620 –0.006620
0.051–90.0000 –4.465614 –4.534387 –4.613164 –4.686836
0.01145.0000 4.534387 4.465613 4.686936 4.613064
0.0110.0000 0.005146 –0.005146 0.006720 –0.006720
0.011–45.0000 –4.465613 –4.534387 –4.613064 –4.686936
0.02122.5000 4.534387 4.465613 4.687516 4.612484
0.0210.0000 0.005146 –0.005146 –0.007300 –0.007300
0.021–22.5000 –4.465613 –4.534387 –4.612484 –4.687516
0.0519.0000 4.534388 4.465613 4.686911 4.613089
0.0510.0000 0.005147 –0.005147 0.006695 –0.006695
0.051–9.0000 –4.465613 –4.534388 –4.613089 –4.686911
14.5000 4.534295 4.465705 4.535671 4.464329
10.0000 0.005144 –0.005144 0.006520 –0.006520
1–4.5000 –4.465705 –4.534295 –4.464329 –4.535671
22.2500 4.534292 4.465708 4.535693 4.464307