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Table 7: LTE and non-LTE silicon abundances due to different model assumptions for the Sun for the Si I lines used in the abundance determination.
model assumption   $\lambda 5645.6$ $\lambda 5665.6$ $\lambda 5684.5$ $\lambda 5690.4$ $\lambda 5701.1$ $\lambda 5708.4$ $\lambda 5772.1$ $\lambda 5780.4$ $\lambda 5793.1$
                     
standard model LTE 7.539 7.536 7.492 7.569 7.519 7.561 7.607 7.581 7.628
  NLTE 7.535 7.532 7.485 7.563 7.514 7.550 7.599 7.577 7.623
                     
Non-LTE calculations:  
reference LTE 7.539 7.536 7.492 7.569 7.519 7.561 7.607 7.581 7.628
no line transitions NLTE 7.543 7.541 7.497 7.573 7.523 7.567 7.612 7.585 7.633
no Stark broadening NLTE 7.535 7.532 7.485 7.563 7.514 7.550 7.599 7.577 7.623
$\Delta\log C_6=-1.0$ NLTE 7.535 7.532 7.485 7.563 7.515 7.552 7.599 7.577 7.623
$\Delta\log C_6=+0.5$ NLTE 7.534 7.531 7.485 7.562 7.514 7.550 7.598 7.577 7.623
all $\gamma_{\rm rad} \times 5$ NLTE 7.534 7.531 7.484 7.562 7.513 7.550 7.597 7.576 7.622
all $\sigma_{\rm PI} \times 0.75$ NLTE 7.534 7.531 7.484 7.562 7.514 7.550 7.598 7.576 7.622
all $\sigma_{\rm PI} \times 1.25$ NLTE 7.535 7.532 7.486 7.563 7.515 7.553 7.600 7.578 7.624
all $\sigma_{\rm e} \times 0.1$ NLTE 7.530 7.527 7.479 7.558 7.510 7.545 7.593 7.573 7.618
all $\sigma_{\rm e} \times 10$ NLTE 7.538 7.536 7.490 7.568 7.518 7.559 7.605 7.581 7.627
all $\sigma_{\rm H}: S_{\rm H} = 0.01$ NLTE 7.532 7.529 7.481 7.560 7.512 7.546 7.591 7.575 7.619
all $\sigma_{\rm H}: S_{\rm H} = 10$ NLTE 7.538 7.535 7.490 7.567 7.518 7.559 7.605 7.580 7.627
Abundance analysis:  
$\Delta\log \gamma_{\rm rad} = -1.0$ LTE 7.539 7.537 7.493 7.569 7.519 7.563 7.608 7.581 7.629
  NLTE 7.535 7.532 7.486 7.563 7.515 7.554 7.599 7.577 7.623
$\Delta\log \gamma_{\rm rad} = +1.0$ LTE 7.536 7.532 7.481 7.563 7.515 7.545 7.600 7.573 7.623
  NLTE 7.531 7.527 7.475 7.557 7.511 7.537 7.592 7.569 7.618
$\Delta\log C_4=-0.5$ LTE 7.544 7.542 7.503 7.578 7.524 7.584 7.619 7.583 7.635
  NLTE 7.539 7.538 7.497 7.572 7.520 7.572 7.611 7.579 7.630
$\Delta\log C_4=+0.5$ LTE 7.530 7.526 7.459 7.552 7.509 7.523 7.577 7.569 7.616
  NLTE 7.526 7.521 7.453 7.545 7.505 7.515 7.575 7.565 7.611
no Stark broadening LTE 7.556 7.548 7.517 7.588 7.530 7.607 7.632 7.585 7.642
  NLTE 7.550 7.544 7.509 7.581 7.525 7.596 7.623 7.581 7.636
$\Delta\log C_6=0.6$ LTE 7.527 7.521 7.448 7.543 7.505 7.507 7.569 7.567 7.610
  NLTE 7.523 7.516 7.442 7.538 7.500 7.498 7.562 7.563 7.605
$\Delta\log C_6=1.0$ LTE 7.517 7.508 7.420 7.512 7.493 7.460 7.543 7.561 7.594
  NLTE 7.513 7.504 7.414 7.508 7.489 7.452 7.537 7.557 7.589
$\xi= 0.8\,{\rm km}\,{\rm }s^{-1}$ LTE 7.545 7.545 7.507 7.582 7.527 7.584 7.621 7.586 7.639
  NLTE 7.542 7.541 7.500 7.576 7.523 7.573 7.612 7.582 7.634
                     
ATLAS LTE 7.449 7.441 7.382 7.466 7.426 7.436 7.502 7.490 7.532
  NLTE 7.443 7.437 7.376 7.460 7.421 7.429 7.495 7.486 7.527



 

 
Table 7: continued.
model assumption   $\lambda 5797.9$ $\lambda 5948.5$ $\lambda 6976.5$ $\lambda 7034.9$ $\lambda 7226.2$ $\lambda 7680.3$ $\lambda 7918.4$ $\lambda 7932.3$ $\lambda 7970.3$
                     
standard model LTE 7.572 7.523 7.532 7.494 7.503 7.629 7.565 7.451 7.663
  NLTE 7.567 7.508 7.532 7.493 7.498 7.626 7.565 7.451 7.663
Non-LTE calculations:  
reference LTE 7.572 7.523 7.532 7.494 7.503 7.629 7.565 7.451 7.663
no line transitions NLTE 7.576 7.532 7.536 7.500 7.508 7.641 7.574 7.461 7.668
no Stark broadening NLTE 7.567 7.508 7.532 7.493 7.498 7.626 7.565 7.451 7.663
$\Delta\log C_6=-1.0$ NLTE 7.568 7.509 7.532 7.493 7.499 7.626 7.565 7.451 7.663
$\Delta\log C_6=+0.5$ NLTE 7.567 7.507 7.532 7.492 7.498 7.626 7.565 7.451 7.663
all $\gamma_{\rm rad} \times 5$ NLTE 7.566 7.506 7.531 7.491 7.497 7.624 7.564 7.450 7.662
all $\sigma_{\rm PI} \times 0.75$ NLTE 7.566 7.507 7.531 7.491 7.497 7.624 7.563 7.449 7.662
all $\sigma_{\rm PI} \times 1.25$ NLTE 7.568 7.509 7.532 7.494 7.499 7.627 7.567 7.453 7.664
all $\sigma_{\rm e} \times 0.1$ NLTE 7.562 7.500 7.529 7.489 7.493 7.621 7.561 7.447 7.660
all $\sigma_{\rm e} \times 10$ NLTE 7.571 7.519 7.532 7.494 7.502 7.629 7.566 7.452 7.664
all $\sigma_{\rm H}: S_{\rm H} = 0.01$ NLTE 7.564 7.494 7.532 7.491 7.496 7.618 7.564 7.450 7.663
all $\sigma_{\rm H}: S_{\rm H} = 10$ NLTE 7.571 7.520 7.532 7.494 7.502 7.629 7.565 7.452 7.663
                     
Abundance analysis:  
$\Delta\log \gamma_{\rm rad} = -1.0$ LTE 7.573 7.525 7.532 7.494 7.503 7.630 7.566 7.452 7.663
  NLTE 7.568 7.510 7.532 7.493 7.498 7.627 7.566 7.452 7.663
$\Delta\log \gamma_{\rm rad} = +1.0$ LTE 7.568 7.505 7.530 7.489 7.501 7.620 7.557 7.443 7.663
  NLTE 7.563 7.491 7.530 7.488 7.496 7.616 7.557 7.443 7.663
$\Delta\log C_4=-0.5$ LTE 7.578 7.550 7.550 7.529 7.511 7.691 7.618 7.499 7.671
  NLTE 7.573 7.536 7.552 7.527 7.506 7.687 7.617 7.499 7.672
$\Delta\log C_4=+0.5$ LTE 7.561 7.476 7.510 7.438 7.491 7.559 7.495 7.381 7.639
  NLTE 7.557 7.463 7.510 7.437 7.486 7.556 7.497 7.381 7.639
no Stark broadening LTE 7.584 7.578 7.592 7.573 7.519 7.741 7.678 7.569 7.681
  NLTE 7.579 7.559 7.592 7.572 7.514 7.736 7.678 7.569 7.681
$\Delta\log C_6=0.6$ LTE 7.557 7.456 7.514 7.456 7.490 7.555 7.495 7.381 7.639
  NLTE 7.553 7.443 7.514 7.455 7.486 7.552 7.495 7.381 7.639
$\Delta\log C_6=1.0$ LTE 7.543 7.403 7.503 7.415 7.468 7.499 7.444 7.328 7.628
  NLTE 7.539 7.392 7.503 7.414 7.464 7.496 7.444 7.328 7.629
$\xi= 0.8\,{\rm km}\,{\rm }s^{-1}$ LTE 7.582 7.547 7.535 7.503 7.510 7.646 7.578 7.464 7.668
  NLTE 7.576 7.533 7.536 7.502 7.505 7.642 7.578 7.464 7.668
                     
ATLAS LTE 7.479 7.395 7.448 7.391 7.424 7.516 7.457 7.342 7.579
  NLTE 7.475 7.382 7.448 7.390 7.419 7.513 7.456 7.341 7.579



 

 
Table 8: LTE and non-LTE silicon abundances due to different model assumptions for the Sun for the Si II lines used in the abundance determination.
model assumption   $\lambda 6347.1$ $\lambda 6371.4$   model assumption   $\lambda 6347.1$ $\lambda 6371.4$
                 
standard model LTE 7.736 7.585          
  NLTE 7.639 7.521          
                 
Non-LTE calculations:
reference LTE 7.736 7.585          
no line transitions NLTE 7.736 7.585   no Stark broadening NLTE 7.640 7.521
$\Delta\log C_6=-1.0$ NLTE 7.639 7.521   $\Delta\log C_6=+0.5$ NLTE 7.640 7.522
all $\gamma_{\rm rad} \times 5$ NLTE 7.641 7.522          
all $\sigma_{\rm PI} \times 0.75$ NLTE 7.640 7.521   all $\sigma_{\rm PI} \times 1.25$ NLTE 7.640 7.521
all $\sigma_{\rm e} \times 0.1$ NLTE 7.605 7.491   all $\sigma_{\rm e} \times 10$ NLTE 7.697 7.563
all $\sigma_{\rm H}: S_{\rm H} = 0.01$ NLTE 7.624 7.510   all $\sigma_{\rm H}: S_{\rm H} = 10$ NLTE 7.686 7.554
                 
Abundance analysis:
$\Delta\log \gamma_{\rm rad} = -1.0$ LTE 7.738 7.586   $\Delta\log \gamma_{\rm rad} = +1.0$ LTE 7.702 7.575
  NLTE 7.641 7.522     NLTE 7.622 7.513
$\Delta\log C_6=0.6$ LTE 7.684 7.566   $\Delta\log C_6=1.0$ LTE 7.647 7.548
  NLTE 7.597 7.505     NLTE 7.567 7.490
$\Delta\log C_4=-0.5$ LTE 7.745 7.592   $\Delta\log C_4=+0.5$ LTE 7.697 7.573
  NLTE 7.649 7.527     NLTE 7.618 7.509
no Stark broadening LTE 7.757 7.599   $\xi= 0.8\,{\rm km}\,{\rm }s^{-1}$ LTE 7.762 7.602
  NLTE 7.660 7.533     NLTE 7.664 7.536
                 
ATLAS LTE 7.571 7.440          
  NLTE 7.506 7.399          



 

 
Table 9: LTE and non-LTE silicon abundances due to different model assumptions for Vega for the Si II lines used in the abundance determination.
model assumption   $\lambda 3862.595$ $\lambda 4128.054$ $\lambda 4130.872$ $\lambda 5041.024$ $\lambda 5055.984$
        $\lambda 4130.894$   $\lambda 5056.317$
             
standard model LTE 6.930 7.004 7.034 7.042 7.032
  NLTE 6.980 6.911 6.928 6.980 6.970
             
Abundance analysis:
$\Delta\log \gamma_{\rm rad} = -1.0$ LTE 6.933 7.005 7.035 7.043 7.033
  NLTE 6.984 6.911 6.930 6.980 6.971
$\Delta\log \gamma_{\rm rad} = +1.0$ LTE 6.900 6.993 7.020 7.025 7.026
  NLTE 6.936 6.902 6.918 6.976 6.963
$\Delta\log C_4=-0.5$ LTE 6.976 7.092 7.149 7.080 7.087
  NLTE 7.037 6.981 7.022 7.011 7.016
$\Delta\log C_4=+0.5$ LTE 6.838 6.892 6.888 6.970 6.970
  NLTE 6.879 6.817 6.808 6.917 6.914
no Stark broadening LTE 7.031 7.226 7.347 7.122 7.139
  NLTE 7.105 7.080 7.160 7.048 7.061
$\Delta\log C_6=1.5$ LTE 6.930 7.004 7.033 7.042 7.032
  NLTE 6.980 6.910 6.928 6.980 6.970
$\xi= 1.5\,{\rm km}\,{\rm s}^{-1}$ LTE 7.162 7.309 7.463 7.167 7.189
  NLTE 7.257 7.146 7.251 7.088 7.109



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