Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Lattice nodes in reciprocal space can be evaluated from primitive vectors and associated Muller indexes h,k,l. Lattice nodes ordered by ascending R(h,k,l) - distance between (h,k,l) and (0,0,0) points, is presented in table

Code Block
2-d case                3-d case
( h, k) R(h,k)[1/A]     ( h, k, l) R(h,k,l)[1/A]
___________________     ________________________
( 0, 0) 0.0000          ( 0, 0, 0) 0.0000
( 0, 1) 0.0385          ( 0, 1, 0) 0.0385
( 1, 0) 0.0559          ( 1, 0, 0) 0.0559
(-1, 1) 0.0604          (-1, 1, 0) 0.0604
( 1, 1) 0.0745          ( 1, 1, 0) 0.0745
( 0, 2) 0.0770          ( 0, 2, 0) 0.0770
(-1, 2) 0.0845          (-1, 2, 0) 0.0845
( 1, 2) 0.1047          ( 1, 2, 0) 0.1047
(-2, 1) 0.1098          (-2, 1, 0) 0.1098
( 2, 0) 0.1117          ( 2, 0, 0) 0.1117
( 0, 3) 0.1155          ( 0, 3, 0) 0.1155
(-1, 3) 0.1166          (-1, 3, 0) 0.1166
(-2, 2) 0.1208          (-2, 2, 0) 0.1208
( 2, 1) 0.1260          ( 2, 1, 0) 0.1260
( 1, 3) 0.1390          ( 1, 3, 0) 0.1390
(-2, 3) 0.1417          (-2, 3, 0) 0.1417
( 2, 2) 0.1491          ( 2, 2, 0) 0.1491
(-1, 4) 0.1517          (-1, 4, 0) 0.1517
( 0, 4) 0.1539          ( 0, 4, 0) 0.1539
(-3, 1) 0.1634          (-3, 1, 0) 0.1634
( 3, 0) 0.1676          ( 3, 0, 0) 0.1676
(-3, 2) 0.1682          (-3, 2, 0) 0.1682
(-2, 4) 0.1689          (-2, 4, 0) 0.1689
( 1, 4) 0.1750          ( 1, 4, 0) 0.1750
( 2, 3) 0.1776          ( 2, 3, 0) 0.1776
( 3, 1) 0.1801          ( 3, 1, 0) 0.1801
(-3, 3) 0.1812          (-3, 3, 0) 0.1812
(-1, 5) 0.1881          (-1, 5, 0) 0.1881
( 0, 5) 0.1924          ( 0, 5, 0) 0.1924
( 3, 2) 0.1993          ( 3, 2, 0) 0.1993
(-2, 5) 0.1999          (-2, 5, 0) 0.1999
(-3, 4) 0.2008          (-3, 4, 0) 0.2008
( 2, 4) 0.2093          ( 0, 0, 1) 0.2079 1st contributing index with l=1
( 1, 5) 0.2119          ( 2, 4, 0) 0.2093
(-4, 1) 0.2181          ( 0, 1, 1) 0.2114
(-4, 2) 0.2196          ( 1, 5, 0) 0.2119
( 4, 0) 0.2234          ( 1, 0, 1) 0.2153
( 3, 3) 0.2236          (-1, 1, 1) 0.2165
(-3, 5) 0.2254          (-4, 1, 0) 0.2181
(-4, 3) 0.2276          (-4, 2, 0) 0.2196
( 4, 1) 0.2350          ( 1, 1, 1) 0.2209
(-4, 4) 0.2416          ( 0, 2, 1) 0.2217
( 2, 5) 0.2430          ( 4, 0, 0) 0.2234
( 3, 4) 0.2515          ( 3, 3, 0) 0.2236
( 4, 2) 0.2520          (-1, 2, 1) 0.2244
(-4, 5) 0.2605          (-3, 5, 0) 0.2254
(-5, 2) 0.2727          (-4, 3, 0) 0.2276
( 4, 3) 0.2733          ( 1, 2, 1) 0.2328
(-5, 1) 0.2733          ( 4, 1, 0) 0.2350
(-5, 3) 0.2775          (-2, 1, 1) 0.2351
( 5, 0) 0.2793          ( 2, 0, 1) 0.2360
( 3, 5) 0.2818          ( 0, 3, 1) 0.2378
(-5, 4) 0.2874          (-1, 3, 1) 0.2383
( 5, 1) 0.2903          (-2, 2, 1) 0.2404
( 4, 4) 0.2982          (-4, 4, 0) 0.2416
(-5, 5) 0.3019          ( 2, 5, 0) 0.2430
( 5, 2) 0.3057          ( 2, 1, 1) 0.2431
( 5, 3) 0.3251          ( 1, 3, 1) 0.2501
( 4, 5) 0.3257          ( 3, 4, 0) 0.2515
( 5, 4) 0.3476          (-2, 3, 1) 0.2516
( 5, 5) 0.3727          ( 4, 2, 0) 0.2520

...