For range of Relative k1 errors, all quads list:(HORIZONTAL)
σ (in µ) of beam centroid change
Fraction of orig σ =
Beam µ / magnet nm
Beam Fract σ / move µ
Projected Emittance (pmrad)
Proj Emitt / (Unperturbed Emitt)
Arc/CELL SA/A SA/B01 SA/B02 SA/B03 SA/B04 SA/B05 SA/D07 SA/E SA/F NA/A NA/B01 NA/B02 NA/B03 NA/B04
Unperturbed σ (µ) 17.522 7.221 7.444 7.791 7.795 7.453 7.850 17.163 8.681 17.510 7.209 7.745 7.879 7.291
Err σ = 100 ppm: beam σ 0.323 0.146 0.164 0.164 0.142 0.113 0.180 0.329 0.198 1.386 0.776 0.615 0.589 0.717
Fraction of orig σ = 0.018 0.020 0.022 0.021 0.018 0.015 0.023 0.019 0.023 0.079 0.108 0.079 0.075 0.098
Beam µ / Per ppm err 3.230 1.457 1.636 1.642 1.420 1.129 1.804 3.294 1.983 13.863 7.758 6.149 5.890 7.169
Beam Fract σ/ err per mil 0.184 0.202 0.220 0.211 0.182 0.152 0.230 0.192 0.228 0.792 1.076 0.794 0.748 0.983
proj emitt (pmrad) = 22.68 22.68 22.69 22.70 22.71 22.71 23.17 22.75 23.10 23.59 23.59 23.61 23.61 23.62
emitt / Unperturbed = 1.003 1.003 1.003 1.003 1.003 1.003 1.007 1.004 1.007 1.033 1.033 1.033 1.033 1.034
Err σ = 200 ppm: beam σ 0.646 0.291 0.327 0.329 0.284 0.226 0.361 0.660 0.397 2.775 1.549 1.226 1.177 1.434
Fraction of orig σ = 0.037 0.040 0.044 0.042 0.036 0.030 0.046 0.038 0.046 0.158 0.215 0.158 0.149 0.197
Beam µ / Per ppm err 3.231 1.457 1.637 1.643 1.421 1.130 1.806 3.299 1.985 13.876 7.747 6.128 5.886 7.168
Beam Fract σ/ err per mil 0.184 0.202 0.220 0.211 0.182 0.152 0.230 0.192 0.229 0.792 1.075 0.791 0.747 0.983
proj emitt (pmrad) = 22.78 22.79 22.81 22.82 22.84 22.84 23.39 22.91 23.32 25.48 25.52 25.53 25.53 25.57
emitt / Unperturbed = 1.007 1.008 1.008 1.008 1.009 1.009 1.017 1.011 1.016 1.116 1.118 1.117 1.117 1.119
Err σ = 500 ppm: beam σ 1.618 0.728 0.819 0.824 0.713 0.567 0.907 1.658 0.996 6.963 3.858 3.036 2.939 3.585
Fraction of orig σ = 0.092 0.101 0.110 0.106 0.091 0.076 0.116 0.097 0.115 0.398 0.535 0.392 0.373 0.492
Beam µ / Per ppm err 3.236 1.457 1.639 1.647 1.426 1.133 1.813 3.316 1.992 13.927 7.716 6.072 5.879 7.170
Beam Fract σ/ err per mil 0.185 0.202 0.220 0.211 0.183 0.152 0.231 0.193 0.230 0.795 1.070 0.784 0.746 0.983
proj emitt (pmrad) = 23.34 23.42 23.46 23.51 23.55 23.57 24.46 23.92 24.42 35.77 35.96 35.94 35.93 36.06
emitt / Unperturbed = 1.032 1.036 1.037 1.039 1.040 1.041 1.063 1.056 1.064 1.566 1.575 1.572 1.572 1.579
Err σ =1000 ppm: beam σ 3.245 1.458 1.643 1.654 1.434 1.140 1.827 3.349 2.006 14.041 7.673 5.991 5.880 7.181
Fraction of orig σ = 0.185 0.202 0.221 0.212 0.184 0.153 0.233 0.195 0.231 0.802 1.064 0.774 0.746 0.985
Beam µ / Per ppm err 3.245 1.458 1.643 1.654 1.434 1.140 1.827 3.349 2.006 14.041 7.673 5.991 5.880 7.181
Beam Fract σ/ err per mil 0.185 0.202 0.221 0.212 0.184 0.153 0.233 0.195 0.231 0.802 1.064 0.774 0.746 0.985
proj emitt (pmrad) = 25.09 25.42 25.54 25.68 25.79 25.87 27.54 27.10 27.69 59.59 60.06 60.02 59.99 60.19
emitt / Unperturbed = 1.109 1.124 1.129 1.135 1.139 1.143 1.197 1.196 1.207 2.609 2.630 2.626 2.625 2.635
Err σ =1500 ppm: beam σ 4.885 2.192 2.472 2.494 2.165 1.721 2.762 5.080 3.034 21.133 11.374 8.857 8.800 10.734
Fraction of orig σ = 0.279 0.304 0.332 0.320 0.278 0.231 0.352 0.296 0.349 1.207 1.578 1.144 1.117 1.472
Beam µ / Per ppm err 3.257 1.461 1.648 1.663 1.444 1.147 1.841 3.387 2.022 14.089 7.582 5.905 5.867 7.156
Beam Fract σ/ err per mil 0.186 0.202 0.221 0.213 0.185 0.154 0.235 0.197 0.233 0.805 1.052 0.762 0.745 0.981
proj emitt (pmrad) = 27.70 28.36 28.59 28.89 29.08 29.22 31.88 31.65 32.33 85.46 86.21 86.29 86.24 86.36
emitt / Unperturbed = 1.225 1.254 1.264 1.276 1.285 1.291 1.386 1.397 1.409 3.741 3.775 3.776 3.773 3.780
Err σ =2000 ppm: beam σ 6.541 2.931 3.308 3.344 2.908 2.313 3.715 6.862 4.080 28.022 14.889 11.582 11.592 14.179
Fraction of orig σ = 0.373 0.406 0.444 0.429 0.373 0.310 0.473 0.400 0.470 1.600 2.065 1.495 1.471 1.945
Beam µ / Per ppm err 3.270 1.466 1.654 1.672 1.454 1.157 1.857 3.431 2.040 14.011 7.444 5.791 5.796 7.090
Beam Fract σ/ err per mil 0.187 0.203 0.222 0.215 0.187 0.155 0.237 0.200 0.235 0.800 1.033 0.748 0.736 0.972
proj emitt (pmrad) = 30.96 32.00 32.34 32.81 33.11 33.32 37.10 37.10 37.90 110.44 111.53 111.88 111.79 111.73
emitt / Unperturbed = 1.369 1.415 1.430 1.450 1.463 1.472 1.613 1.638 1.651 4.835 4.884 4.896 4.891 4.891
Err σ =3000 ppm: beam σ 9.911 4.437 5.009 5.078 4.433 3.539 5.685 10.605 6.245 41.037 21.067 16.413 16.732 20.580
Fraction of orig σ = 0.566 0.614 0.673 0.652 0.569 0.475 0.724 0.618 0.719 2.344 2.922 2.119 2.124 2.823
Beam µ / Per ppm err 3.304 1.479 1.670 1.693 1.478 1.180 1.895 3.535 2.082 13.679 7.022 5.471 5.577 6.860
Beam Fract σ/ err per mil 0.189 0.205 0.224 0.217 0.190 0.158 0.241 0.206 0.240 0.781 0.974 0.706 0.708 0.941
proj emitt (pmrad) = 38.73 40.62 41.18 42.06 42.58 42.91 49.21 49.77 50.90 152.58 156.20 158.01 157.74 156.66
emitt / Unperturbed = 1.712 1.796 1.821 1.859 1.881 1.896 2.139 2.197 2.218 6.679 6.841 6.914 6.902 6.858
For range of Relative k1 errors, all quads list:(VERTICAL)
σ (in µ) of beam centroid change
Fraction of orig σ =
Beam µ / magnet nm
Beam Fract σ / move µ
Projected Emittance (pmrad)
Proj Emitt / (Unperturbed Emitt)
Arc/CELL SA/A SA/B01 SA/B02 SA/B03 SA/B04 SA/B05 SA/D07 SA/E SA/F NA/A NA/B01 NA/B02 NA/B03 NA/B04
Unperturbed σ (µ) 16.564 7.612 7.398 7.135 7.154 7.394 7.651 17.066 8.104 16.750 7.309 7.477 7.590 7.437
Err σ = 100 ppm: beam σ 0.001 0.000 0.001 0.001 0.001 0.001 0.001 0.004 0.001 0.006 0.001 0.004 0.005 0.003
Fraction of orig σ = 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001 0.001 0.000
Beam µ / Per ppm err 0.006 0.003 0.007 0.011 0.013 0.007 0.010 0.045 0.013 0.062 0.014 0.037 0.049 0.034
Beam Fract σ/ err per mil 0.000 0.000 0.001 0.002 0.002 0.001 0.001 0.003 0.002 0.004 0.002 0.005 0.007 0.005
proj emitt (pmrad) = 22.51 22.43 22.52 22.74 22.89 22.85 22.84 22.76 22.81 22.97 23.03 22.99 22.97 22.98
emitt / Unperturbed = 1.000 1.000 1.000 1.001 1.001 1.001 1.001 1.001 1.001 1.002 1.002 1.002 1.002 1.002
Err σ = 200 ppm: beam σ 0.001 0.001 0.001 0.002 0.003 0.001 0.002 0.009 0.003 0.012 0.003 0.007 0.010 0.007
Fraction of orig σ = 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001 0.000 0.001 0.000 0.001 0.001 0.001
Beam µ / Per ppm err 0.006 0.003 0.007 0.011 0.013 0.007 0.010 0.045 0.013 0.062 0.014 0.037 0.049 0.034
Beam Fract σ/ err per mil 0.000 0.000 0.001 0.002 0.002 0.001 0.001 0.003 0.002 0.004 0.002 0.005 0.007 0.005
proj emitt (pmrad) = 22.52 22.43 22.53 22.76 22.92 22.88 22.87 22.80 22.85 23.03 23.09 23.05 23.03 23.05
emitt / Unperturbed = 1.000 1.000 1.000 1.001 1.002 1.003 1.003 1.003 1.003 1.005 1.005 1.005 1.004 1.005
Err σ = 500 ppm: beam σ 0.003 0.001 0.003 0.006 0.007 0.004 0.005 0.023 0.006 0.031 0.008 0.019 0.025 0.017
Fraction of orig σ = 0.000 0.000 0.000 0.001 0.001 0.000 0.001 0.001 0.001 0.002 0.001 0.003 0.003 0.002
Beam µ / Per ppm err 0.006 0.003 0.007 0.012 0.013 0.007 0.010 0.045 0.013 0.061 0.015 0.037 0.049 0.035
Beam Fract σ/ err per mil 0.000 0.000 0.001 0.002 0.002 0.001 0.001 0.003 0.002 0.004 0.002 0.005 0.007 0.005
proj emitt (pmrad) = 22.53 22.43 22.55 22.80 23.00 22.99 23.00 22.92 22.98 23.27 23.36 23.30 23.28 23.35
emitt / Unperturbed = 1.001 1.000 1.001 1.003 1.006 1.008 1.009 1.008 1.009 1.015 1.017 1.016 1.016 1.018
Err σ =1000 ppm: beam σ 0.006 0.003 0.007 0.012 0.013 0.007 0.011 0.046 0.013 0.062 0.017 0.038 0.049 0.035
Fraction of orig σ = 0.000 0.000 0.001 0.002 0.002 0.001 0.001 0.003 0.002 0.004 0.002 0.005 0.007 0.005
Beam µ / Per ppm err 0.006 0.003 0.007 0.012 0.013 0.007 0.011 0.046 0.013 0.062 0.017 0.038 0.049 0.035
Beam Fract σ/ err per mil 0.000 0.000 0.001 0.002 0.002 0.001 0.001 0.003 0.002 0.004 0.002 0.005 0.007 0.005
proj emitt (pmrad) = 22.55 22.45 22.59 22.90 23.18 23.24 23.31 23.22 23.31 23.93 24.11 24.08 24.10 24.27
emitt / Unperturbed = 1.002 1.001 1.003 1.008 1.014 1.019 1.022 1.021 1.023 1.044 1.049 1.050 1.051 1.058
Err σ =1500 ppm: beam σ 0.009 0.004 0.010 0.017 0.020 0.011 0.017 0.070 0.020 0.094 0.029 0.057 0.074 0.055
Fraction of orig σ = 0.001 0.001 0.001 0.002 0.003 0.002 0.002 0.004 0.002 0.006 0.004 0.008 0.010 0.007
Beam µ / Per ppm err 0.006 0.003 0.007 0.012 0.014 0.007 0.011 0.047 0.013 0.063 0.019 0.038 0.050 0.037
Beam Fract σ/ err per mil 0.000 0.000 0.001 0.002 0.002 0.001 0.001 0.003 0.002 0.004 0.003 0.005 0.007 0.005
proj emitt (pmrad) = 22.57 22.48 22.64 23.04 23.44 23.61 23.77 23.69 23.82 25.02 25.37 25.47 25.61 25.94
emitt / Unperturbed = 1.003 1.002 1.006 1.013 1.025 1.035 1.042 1.042 1.046 1.092 1.104 1.110 1.117 1.131
Err σ =2000 ppm: beam σ 0.011 0.006 0.014 0.023 0.027 0.015 0.024 0.095 0.027 0.133 0.043 0.077 0.099 0.077
Fraction of orig σ = 0.001 0.001 0.002 0.003 0.004 0.002 0.003 0.006 0.003 0.008 0.006 0.010 0.013 0.010
Beam µ / Per ppm err 0.006 0.003 0.007 0.012 0.014 0.008 0.012 0.047 0.014 0.067 0.021 0.039 0.049 0.038
Beam Fract σ/ err per mil 0.000 0.000 0.001 0.002 0.002 0.001 0.002 0.003 0.002 0.004 0.003 0.005 0.007 0.005
proj emitt (pmrad) = 22.60 22.51 22.72 23.22 23.80 24.14 24.46 24.39 24.57 26.70 27.32 27.70 28.12 28.77
emitt / Unperturbed = 1.004 1.004 1.009 1.022 1.041 1.058 1.072 1.073 1.079 1.165 1.189 1.207 1.226 1.255
Err σ =3000 ppm: beam σ 0.017 0.009 0.022 0.036 0.042 0.026 0.040 0.148 0.046 0.225 0.081 0.123 0.152 0.129
Fraction of orig σ = 0.001 0.001 0.003 0.005 0.006 0.003 0.005 0.009 0.006 0.013 0.011 0.016 0.020 0.017
Beam µ / Per ppm err 0.006 0.003 0.007 0.012 0.014 0.009 0.013 0.049 0.015 0.075 0.027 0.041 0.051 0.043
Beam Fract σ/ err per mil 0.000 0.000 0.001 0.002 0.002 0.001 0.002 0.003 0.002 0.004 0.004 0.005 0.007 0.006
proj emitt (pmrad) = 22.67 22.64 22.96 23.86 25.01 25.97 26.80 26.82 27.20 32.69 34.24 36.04 37.96 40.37
emitt / Unperturbed = 1.007 1.009 1.020 1.050 1.094 1.138 1.175 1.180 1.194 1.426 1.490 1.571 1.656 1.761