Q value

A given q value (momentum transfer in reciprocal-space) corresponds to a real-space distance (d) of:

$q={\frac {2\pi }{d}}$

Thus, from a peak position in scattering, one can calculate the realspace repeat-structure distance:

$d={\frac {2\pi }{q}}$

One must be careful, however. A peak in reciprocal-space corresponds to a repeating structure in the realspace lattice; i.e. this may or may not correspond directly to particle-particle spacings.

Lookup table

q	d		q	d		q	d		q	d
0.000100 Å−1	0.000100 nm		0.001420 Å−1	0.001420 nm		0.020177 Å−1	0.020177 nm		0.286595 Å−1	0.286595 nm
0.000102 Å−1	0.000102 nm		0.001449 Å−1	0.001449 nm		0.020580 Å−1	0.020580 nm		0.292327 Å−1	0.292327 nm
0.000104 Å−1	0.000104 nm		0.001478 Å−1	0.001478 nm		0.020992 Å−1	0.020992 nm		0.298174 Å−1	0.298174 nm
0.000106 Å−1	0.000106 nm		0.001507 Å−1	0.001507 nm		0.021411 Å−1	0.021411 nm		0.304137 Å−1	0.304137 nm
0.000108 Å−1	0.000108 nm		0.001538 Å−1	0.001538 nm		0.021840 Å−1	0.021840 nm		0.310220 Å−1	0.310220 nm
0.000110 Å−1	0.000110 nm		0.001568 Å−1	0.001568 nm		0.022276 Å−1	0.022276 nm		0.316424 Å−1	0.316424 nm
0.000113 Å−1	0.000113 nm		0.001600 Å−1	0.001600 nm		0.022722 Å−1	0.022722 nm		0.322753 Å−1	0.322753 nm
0.000115 Å−1	0.000115 nm		0.001632 Å−1	0.001632 nm		0.023176 Å−1	0.023176 nm		0.329208 Å−1	0.329208 nm
0.000117 Å−1	0.000117 nm		0.001664 Å−1	0.001664 nm		0.023640 Å−1	0.023640 nm		0.335792 Å−1	0.335792 nm
0.000120 Å−1	0.000120 nm		0.001698 Å−1	0.001698 nm		0.024113 Å−1	0.024113 nm		0.342508 Å−1	0.342508 nm
0.000122 Å−1	0.000122 nm		0.001732 Å−1	0.001732 nm		0.024595 Å−1	0.024595 nm		0.349358 Å−1	0.349358 nm
0.000124 Å−1	0.000124 nm		0.001766 Å−1	0.001766 nm		0.025087 Å−1	0.025087 nm		0.356345 Å−1	0.356345 nm
0.000127 Å−1	0.000127 nm		0.001801 Å−1	0.001801 nm		0.025589 Å−1	0.025589 nm		0.363472 Å−1	0.363472 nm
0.000129 Å−1	0.000129 nm		0.001837 Å−1	0.001837 nm		0.026100 Å−1	0.026100 nm		0.370742 Å−1	0.370742 nm
0.000132 Å−1	0.000132 nm		0.001874 Å−1	0.001874 nm		0.026622 Å−1	0.026622 nm		0.378156 Å−1	0.378156 nm
0.000135 Å−1	0.000135 nm		0.001912 Å−1	0.001912 nm		0.027155 Å−1	0.027155 nm		0.385720 Å−1	0.385720 nm
0.000137 Å−1	0.000137 nm		0.001950 Å−1	0.001950 nm		0.027698 Å−1	0.027698 nm		0.393434 Å−1	0.393434 nm
0.000140 Å−1	0.000140 nm		0.001989 Å−1	0.001989 nm		0.028252 Å−1	0.028252 nm		0.401303 Å−1	0.401303 nm
0.000143 Å−1	0.000143 nm		0.002029 Å−1	0.002029 nm		0.028817 Å−1	0.028817 nm		0.409329 Å−1	0.409329 nm
0.000146 Å−1	0.000146 nm		0.002069 Å−1	0.002069 nm		0.029393 Å−1	0.029393 nm		0.417515 Å−1	0.417515 nm
0.000149 Å−1	0.000149 nm		0.002111 Å−1	0.002111 nm		0.029981 Å−1	0.029981 nm		0.425866 Å−1	0.425866 nm
0.000152 Å−1	0.000152 nm		0.002153 Å−1	0.002153 nm		0.030581 Å−1	0.030581 nm		0.434383 Å−1	0.434383 nm
0.000155 Å−1	0.000155 nm		0.002196 Å−1	0.002196 nm		0.031192 Å−1	0.031192 nm		0.443070 Å−1	0.443070 nm
0.000158 Å−1	0.000158 nm		0.002240 Å−1	0.002240 nm		0.031816 Å−1	0.031816 nm		0.451932 Å−1	0.451932 nm
0.000161 Å−1	0.000161 nm		0.002285 Å−1	0.002285 nm		0.032453 Å−1	0.032453 nm		0.460971 Å−1	0.460971 nm
0.000164 Å−1	0.000164 nm		0.002330 Å−1	0.002330 nm		0.033102 Å−1	0.033102 nm		0.470190 Å−1	0.470190 nm
0.000167 Å−1	0.000167 nm		0.002377 Å−1	0.002377 nm		0.033764 Å−1	0.033764 nm		0.479594 Å−1	0.479594 nm
0.000171 Å−1	0.000171 nm		0.002425 Å−1	0.002425 nm		0.034439 Å−1	0.034439 nm		0.489186 Å−1	0.489186 nm
0.000174 Å−1	0.000174 nm		0.002473 Å−1	0.002473 nm		0.035128 Å−1	0.035128 nm		0.498969 Å−1	0.498969 nm
0.000178 Å−1	0.000178 nm		0.002522 Å−1	0.002522 nm		0.035830 Å−1	0.035830 nm		0.508949 Å−1	0.508949 nm
0.000181 Å−1	0.000181 nm		0.002573 Å−1	0.002573 nm		0.036547 Å−1	0.036547 nm		0.519128 Å−1	0.519128 nm
0.000185 Å−1	0.000185 nm		0.002624 Å−1	0.002624 nm		0.037278 Å−1	0.037278 nm		0.529510 Å−1	0.529510 nm
0.000188 Å−1	0.000188 nm		0.002677 Å−1	0.002677 nm		0.038023 Å−1	0.038023 nm		0.540100 Å−1	0.540100 nm
0.000192 Å−1	0.000192 nm		0.002730 Å−1	0.002730 nm		0.038784 Å−1	0.038784 nm		0.550902 Å−1	0.550902 nm
0.000196 Å−1	0.000196 nm		0.002785 Å−1	0.002785 nm		0.039560 Å−1	0.039560 nm		0.561921 Å−1	0.561921 nm
0.000200 Å−1	0.000200 nm		0.002841 Å−1	0.002841 nm		0.040351 Å−1	0.040351 nm		0.573159 Å−1	0.573159 nm
0.000204 Å−1	0.000204 nm		0.002898 Å−1	0.002898 nm		0.041158 Å−1	0.041158 nm		0.584622 Å−1	0.584622 nm
0.000208 Å−1	0.000208 nm		0.002955 Å−1	0.002955 nm		0.041981 Å−1	0.041981 nm		0.596315 Å−1	0.596315 nm
0.000212 Å−1	0.000212 nm		0.003015 Å−1	0.003015 nm		0.042821 Å−1	0.042821 nm		0.608241 Å−1	0.608241 nm
0.000216 Å−1	0.000216 nm		0.003075 Å−1	0.003075 nm		0.043677 Å−1	0.043677 nm		0.620406 Å−1	0.620406 nm
0.000221 Å−1	0.000221 nm		0.003136 Å−1	0.003136 nm		0.044551 Å−1	0.044551 nm		0.632814 Å−1	0.632814 nm
0.000225 Å−1	0.000225 nm		0.003199 Å−1	0.003199 nm		0.045442 Å−1	0.045442 nm		0.645470 Å−1	0.645470 nm
0.000230 Å−1	0.000230 nm		0.003263 Å−1	0.003263 nm		0.046350 Å−1	0.046350 nm		0.658379 Å−1	0.658379 nm
0.000234 Å−1	0.000234 nm		0.003328 Å−1	0.003328 nm		0.047277 Å−1	0.047277 nm		0.671547 Å−1	0.671547 nm
0.000239 Å−1	0.000239 nm		0.003395 Å−1	0.003395 nm		0.048223 Å−1	0.048223 nm		0.684978 Å−1	0.684978 nm
0.000244 Å−1	0.000244 nm		0.003463 Å−1	0.003463 nm		0.049187 Å−1	0.049187 nm		0.698678 Å−1	0.698678 nm
0.000249 Å−1	0.000249 nm		0.003532 Å−1	0.003532 nm		0.050171 Å−1	0.050171 nm		0.712651 Å−1	0.712651 nm
0.000254 Å−1	0.000254 nm		0.003603 Å−1	0.003603 nm		0.051175 Å−1	0.051175 nm		0.726904 Å−1	0.726904 nm
0.000259 Å−1	0.000259 nm		0.003675 Å−1	0.003675 nm		0.052198 Å−1	0.052198 nm		0.741442 Å−1	0.741442 nm
0.000264 Å−1	0.000264 nm		0.003748 Å−1	0.003748 nm		0.053242 Å−1	0.053242 nm		0.756271 Å−1	0.756271 nm
0.000269 Å−1	0.000269 nm		0.003823 Å−1	0.003823 nm		0.054307 Å−1	0.054307 nm		0.771396 Å−1	0.771396 nm
0.000275 Å−1	0.000275 nm		0.003900 Å−1	0.003900 nm		0.055393 Å−1	0.055393 nm		0.786824 Å−1	0.786824 nm
0.000280 Å−1	0.000280 nm		0.003978 Å−1	0.003978 nm		0.056501 Å−1	0.056501 nm		0.802561 Å−1	0.802561 nm
0.000286 Å−1	0.000286 nm		0.004057 Å−1	0.004057 nm		0.057631 Å−1	0.057631 nm		0.818612 Å−1	0.818612 nm
0.000291 Å−1	0.000291 nm		0.004138 Å−1	0.004138 nm		0.058783 Å−1	0.058783 nm		0.834984 Å−1	0.834984 nm
0.000297 Å−1	0.000297 nm		0.004221 Å−1	0.004221 nm		0.059959 Å−1	0.059959 nm		0.851684 Å−1	0.851684 nm
0.000303 Å−1	0.000303 nm		0.004306 Å−1	0.004306 nm		0.061158 Å−1	0.061158 nm		0.868718 Å−1	0.868718 nm
0.000309 Å−1	0.000309 nm		0.004392 Å−1	0.004392 nm		0.062382 Å−1	0.062382 nm		0.886092 Å−1	0.886092 nm
0.000315 Å−1	0.000315 nm		0.004480 Å−1	0.004480 nm		0.063629 Å−1	0.063629 nm		0.903814 Å−1	0.903814 nm
0.000322 Å−1	0.000322 nm		0.004569 Å−1	0.004569 nm		0.064902 Å−1	0.064902 nm		0.921890 Å−1	0.921890 nm
0.000328 Å−1	0.000328 nm		0.004661 Å−1	0.004661 nm		0.066200 Å−1	0.066200 nm		0.940328 Å−1	0.940328 nm
0.000335 Å−1	0.000335 nm		0.004754 Å−1	0.004754 nm		0.067524 Å−1	0.067524 nm		0.959135 Å−1	0.959135 nm
0.000341 Å−1	0.000341 nm		0.004849 Å−1	0.004849 nm		0.068874 Å−1	0.068874 nm		0.978317 Å−1	0.978317 nm
0.000348 Å−1	0.000348 nm		0.004946 Å−1	0.004946 nm		0.070252 Å−1	0.070252 nm		0.997884 Å−1	0.997884 nm
0.000355 Å−1	0.000355 nm		0.005045 Å−1	0.005045 nm		0.071657 Å−1	0.071657 nm		1.017841 Å−1	1.017841 nm
0.000362 Å−1	0.000362 nm		0.005146 Å−1	0.005146 nm		0.073090 Å−1	0.073090 nm		1.038198 Å−1	1.038198 nm
0.000369 Å−1	0.000369 nm		0.005248 Å−1	0.005248 nm		0.074552 Å−1	0.074552 nm		1.058962 Å−1	1.058962 nm
0.000377 Å−1	0.000377 nm		0.005353 Å−1	0.005353 nm		0.076043 Å−1	0.076043 nm		1.080141 Å−1	1.080141 nm
0.000384 Å−1	0.000384 nm		0.005461 Å−1	0.005461 nm		0.077564 Å−1	0.077564 nm		1.101744 Å−1	1.101744 nm
0.000392 Å−1	0.000392 nm		0.005570 Å−1	0.005570 nm		0.079115 Å−1	0.079115 nm		1.123779 Å−1	1.123779 nm
0.000400 Å−1	0.000400 nm		0.005681 Å−1	0.005681 nm		0.080697 Å−1	0.080697 nm		1.146255 Å−1	1.146255 nm
0.000408 Å−1	0.000408 nm		0.005795 Å−1	0.005795 nm		0.082311 Å−1	0.082311 nm		1.169180 Å−1	1.169180 nm
0.000416 Å−1	0.000416 nm		0.005911 Å−1	0.005911 nm		0.083957 Å−1	0.083957 nm		1.192563 Å−1	1.192563 nm
0.000424 Å−1	0.000424 nm		0.006029 Å−1	0.006029 nm		0.085636 Å−1	0.085636 nm		1.216414 Å−1	1.216414 nm
0.000433 Å−1	0.000433 nm		0.006149 Å−1	0.006149 nm		0.087349 Å−1	0.087349 nm		1.240743 Å−1	1.240743 nm
0.000442 Å−1	0.000442 nm		0.006272 Å−1	0.006272 nm		0.089096 Å−1	0.089096 nm		1.265558 Å−1	1.265558 nm
0.000450 Å−1	0.000450 nm		0.006398 Å−1	0.006398 nm		0.090878 Å−1	0.090878 nm		1.290869 Å−1	1.290869 nm
0.000459 Å−1	0.000459 nm		0.006526 Å−1	0.006526 nm		0.092696 Å−1	0.092696 nm		1.316686 Å−1	1.316686 nm
0.000469 Å−1	0.000469 nm		0.006656 Å−1	0.006656 nm		0.094550 Å−1	0.094550 nm		1.343020 Å−1	1.343020 nm
0.000478 Å−1	0.000478 nm		0.006789 Å−1	0.006789 nm		0.096441 Å−1	0.096441 nm		1.369880 Å−1	1.369880 nm
0.000488 Å−1	0.000488 nm		0.006925 Å−1	0.006925 nm		0.098369 Å−1	0.098369 nm		1.397278 Å−1	1.397278 nm
0.000497 Å−1	0.000497 nm		0.007064 Å−1	0.007064 nm		0.100337 Å−1	0.100337 nm		1.425223 Å−1	1.425223 nm
0.000507 Å−1	0.000507 nm		0.007205 Å−1	0.007205 nm		0.102343 Å−1	0.102343 nm		1.453728 Å−1	1.453728 nm
0.000517 Å−1	0.000517 nm		0.007349 Å−1	0.007349 nm		0.104390 Å−1	0.104390 nm		1.482802 Å−1	1.482802 nm
0.000528 Å−1	0.000528 nm		0.007496 Å−1	0.007496 nm		0.106478 Å−1	0.106478 nm		1.512459 Å−1	1.512459 nm
0.000538 Å−1	0.000538 nm		0.007646 Å−1	0.007646 nm		0.108608 Å−1	0.108608 nm		1.542708 Å−1	1.542708 nm
0.000549 Å−1	0.000549 nm		0.007799 Å−1	0.007799 nm		0.110780 Å−1	0.110780 nm		1.573562 Å−1	1.573562 nm
0.000560 Å−1	0.000560 nm		0.007955 Å−1	0.007955 nm		0.112995 Å−1	0.112995 nm		1.605033 Å−1	1.605033 nm
0.000571 Å−1	0.000571 nm		0.008114 Å−1	0.008114 nm		0.115255 Å−1	0.115255 nm		1.637134 Å−1	1.637134 nm
0.000583 Å−1	0.000583 nm		0.008276 Å−1	0.008276 nm		0.117560 Å−1	0.117560 nm		1.669876 Å−1	1.669876 nm
0.000594 Å−1	0.000594 nm		0.008442 Å−1	0.008442 nm		0.119912 Å−1	0.119912 nm		1.703274 Å−1	1.703274 nm
0.000606 Å−1	0.000606 nm		0.008611 Å−1	0.008611 nm		0.122310 Å−1	0.122310 nm		1.737339 Å−1	1.737339 nm
0.000618 Å−1	0.000618 nm		0.008783 Å−1	0.008783 nm		0.124756 Å−1	0.124756 nm		1.772086 Å−1	1.772086 nm
0.000631 Å−1	0.000631 nm		0.008959 Å−1	0.008959 nm		0.127251 Å−1	0.127251 nm		1.807528 Å−1	1.807528 nm
0.000643 Å−1	0.000643 nm		0.009138 Å−1	0.009138 nm		0.129796 Å−1	0.129796 nm		1.843679 Å−1	1.843679 nm
0.000656 Å−1	0.000656 nm		0.009321 Å−1	0.009321 nm		0.132392 Å−1	0.132392 nm		1.880552 Å−1	1.880552 nm
0.000669 Å−1	0.000669 nm		0.009507 Å−1	0.009507 nm		0.135040 Å−1	0.135040 nm		1.918163 Å−1	1.918163 nm
0.000683 Å−1	0.000683 nm		0.009697 Å−1	0.009697 nm		0.137741 Å−1	0.137741 nm		1.956526 Å−1	1.956526 nm
0.000696 Å−1	0.000696 nm		0.009891 Å−1	0.009891 nm		0.140496 Å−1	0.140496 nm		1.995657 Å−1	1.995657 nm
0.000710 Å−1	0.000710 nm		0.010089 Å−1	0.010089 nm		0.143306 Å−1	0.143306 nm		2.035570 Å−1	2.035570 nm
0.000724 Å−1	0.000724 nm		0.010291 Å−1	0.010291 nm		0.146172 Å−1	0.146172 nm		2.076281 Å−1	2.076281 nm
0.000739 Å−1	0.000739 nm		0.010496 Å−1	0.010496 nm		0.149095 Å−1	0.149095 nm		2.117807 Å−1	2.117807 nm
0.000754 Å−1	0.000754 nm		0.010706 Å−1	0.010706 nm		0.152077 Å−1	0.152077 nm		2.160163 Å−1	2.160163 nm
0.000769 Å−1	0.000769 nm		0.010920 Å−1	0.010920 nm		0.155119 Å−1	0.155119 nm		2.203366 Å−1	2.203366 nm
0.000784 Å−1	0.000784 nm		0.011139 Å−1	0.011139 nm		0.158221 Å−1	0.158221 nm		2.247434 Å−1	2.247434 nm
0.000800 Å−1	0.000800 nm		0.011362 Å−1	0.011362 nm		0.161385 Å−1	0.161385 nm		2.292382 Å−1	2.292382 nm
0.000816 Å−1	0.000816 nm		0.011589 Å−1	0.011589 nm		0.164613 Å−1	0.164613 nm		2.338230 Å−1	2.338230 nm
0.000832 Å−1	0.000832 nm		0.011821 Å−1	0.011821 nm		0.167905 Å−1	0.167905 nm		2.384995 Å−1	2.384995 nm
0.000849 Å−1	0.000849 nm		0.012057 Å−1	0.012057 nm		0.171263 Å−1	0.171263 nm		2.432695 Å−1	2.432695 nm
0.000866 Å−1	0.000866 nm		0.012298 Å−1	0.012298 nm		0.174689 Å−1	0.174689 nm		2.481349 Å−1	2.481349 nm
0.000883 Å−1	0.000883 nm		0.012544 Å−1	0.012544 nm		0.178182 Å−1	0.178182 nm		2.530976 Å−1	2.530976 nm
0.000901 Å−1	0.000901 nm		0.012795 Å−1	0.012795 nm		0.181746 Å−1	0.181746 nm		2.581595 Å−1	2.581595 nm
0.000919 Å−1	0.000919 nm		0.013051 Å−1	0.013051 nm		0.185381 Å−1	0.185381 nm		2.633227 Å−1	2.633227 nm
0.000937 Å−1	0.000937 nm		0.013312 Å−1	0.013312 nm		0.189089 Å−1	0.189089 nm		2.685891 Å−1	2.685891 nm
0.000956 Å−1	0.000956 nm		0.013578 Å−1	0.013578 nm		0.192870 Å−1	0.192870 nm		2.739609 Å−1	2.739609 nm
0.000975 Å−1	0.000975 nm		0.013850 Å−1	0.013850 nm		0.196728 Å−1	0.196728 nm		2.794401 Å−1	2.794401 nm
0.000995 Å−1	0.000995 nm		0.014127 Å−1	0.014127 nm		0.200662 Å−1	0.200662 nm		2.850289 Å−1	2.850289 nm
0.001014 Å−1	0.001014 nm		0.014409 Å−1	0.014409 nm		0.204676 Å−1	0.204676 nm		2.907295 Å−1	2.907295 nm
0.001035 Å−1	0.001035 nm		0.014697 Å−1	0.014697 nm		0.208769 Å−1	0.208769 nm		2.965441 Å−1	2.965441 nm
0.001055 Å−1	0.001055 nm		0.014991 Å−1	0.014991 nm		0.212945 Å−1	0.212945 nm		3.024750 Å−1	3.024750 nm
0.001077 Å−1	0.001077 nm		0.015291 Å−1	0.015291 nm		0.217203 Å−1	0.217203 nm		3.085245 Å−1	3.085245 nm
0.001098 Å−1	0.001098 nm		0.015597 Å−1	0.015597 nm		0.221547 Å−1	0.221547 nm		3.146950 Å−1	3.146950 nm
0.001120 Å−1	0.001120 nm		0.015909 Å−1	0.015909 nm		0.225978 Å−1	0.225978 nm		3.209889 Å−1	3.209889 nm
0.001142 Å−1	0.001142 nm		0.016227 Å−1	0.016227 nm		0.230498 Å−1	0.230498 nm		3.274087 Å−1	3.274087 nm
0.001165 Å−1	0.001165 nm		0.016552 Å−1	0.016552 nm		0.235108 Å−1	0.235108 nm		3.339568 Å−1	3.339568 nm
0.001189 Å−1	0.001189 nm		0.016883 Å−1	0.016883 nm		0.239810 Å−1	0.239810 nm		3.406360 Å−1	3.406360 nm
0.001212 Å−1	0.001212 nm		0.017220 Å−1	0.017220 nm		0.244606 Å−1	0.244606 nm		3.474487 Å−1	3.474487 nm
0.001237 Å−1	0.001237 nm		0.017565 Å−1	0.017565 nm		0.249498 Å−1	0.249498 nm		3.543977 Å−1	3.543977 nm
0.001261 Å−1	0.001261 nm		0.017916 Å−1	0.017916 nm		0.254488 Å−1	0.254488 nm		3.614856 Å−1	3.614856 nm
0.001287 Å−1	0.001287 nm		0.018274 Å−1	0.018274 nm		0.259578 Å−1	0.259578 nm		3.687153 Å−1	3.687153 nm
0.001312 Å−1	0.001312 nm		0.018640 Å−1	0.018640 nm		0.264770 Å−1	0.264770 nm		3.760896 Å−1	3.760896 nm
0.001339 Å−1	0.001339 nm		0.019013 Å−1	0.019013 nm		0.270065 Å−1	0.270065 nm		3.836114 Å−1	3.836114 nm
0.001365 Å−1	0.001365 nm		0.019393 Å−1	0.019393 nm		0.275466 Å−1	0.275466 nm		3.912837 Å−1	3.912837 nm
0.001393 Å−1	0.001393 nm		0.019781 Å−1	0.019781 nm		0.280976 Å−1	0.280976 nm		3.991093 Å−1	3.991093 nm