Interplanar Spacing of Crystal Calculator

Calculate Interplanar Spacing







Formula

The formula to calculate Interplanar Spacing (d) is:

\[ d = \frac{n \cdot \lambda_{X-ray}}{2 \cdot \sin(\theta)} \]

Where:

Definition

Interplanar Spacing is the distance between adjacent and parallel planes of the crystal.

Order of Reflection is an integer representing the order of reflection.

Wavelength of X-ray is the distance between two successive crests or troughs of X-Ray.

Angle of Incidence is the angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence, called the normal.

How to calculate Interplanar Spacing given Order of Reflection, Wavelength of X-ray, and Angle of Incidence

Let's assume the following values:

Using the formula:

\[ d = \frac{n \cdot \lambda_{X-ray}}{2 \cdot \sin(\theta)} \]

Evaluating:

\[ d = \frac{3 \cdot 4.5E-10}{2 \cdot \sin(0.5235987755982)} \]

The Interplanar Spacing is 1.35E-09.

Interplanar Spacing Conversion Chart

Order of Reflection (n) Wavelength of X-ray (λ) Angle of Incidence (θ) Interplanar Spacing (d)
1 4.0E-10 0.5 0.000000000417166
1 4.0E-10 0.51 0.000000000409687
1 4.0E-10 0.52 0.000000000402512
1 4.0E-10 0.53 0.000000000395622
1 4.0E-10 0.54 0.000000000389002
1 4.0E-10 0.55 0.000000000382638
1 4.0E-10 0.56 0.000000000376516
1 4.0E-10 0.57 0.000000000370623
1 4.0E-10 0.58 0.000000000364948
1 4.0E-10 0.59 0.000000000359479
1 4.1E-10 0.5 0.000000000427595
1 4.1E-10 0.51 0.000000000419929
1 4.1E-10 0.52 0.000000000412574
1 4.1E-10 0.53 0.000000000405512
1 4.1E-10 0.54 0.000000000398727
1 4.1E-10 0.55 0.000000000392204
1 4.1E-10 0.56 0.000000000385929
1 4.1E-10 0.57 0.000000000379888
1 4.1E-10 0.58 0.000000000374071
1 4.1E-10 0.59 0.000000000368466
1 4.2E-10 0.5 0.000000000438024
1 4.2E-10 0.51 0.000000000430172
1 4.2E-10 0.52 0.000000000422637
1 4.2E-10 0.53 0.000000000415403
1 4.2E-10 0.54 0.000000000408452
1 4.2E-10 0.55 0.000000000401770
1 4.2E-10 0.56 0.000000000395342
1 4.2E-10 0.57 0.000000000389154
1 4.2E-10 0.58 0.000000000383195
1 4.2E-10 0.59 0.000000000377453
1 4.3E-10 0.5 0.000000000448453
1 4.3E-10 0.51 0.000000000440414
1 4.3E-10 0.52 0.000000000432700
1 4.3E-10 0.53 0.000000000425293
1 4.3E-10 0.54 0.000000000418177
1 4.3E-10 0.55 0.000000000411336
1 4.3E-10 0.56 0.000000000404754
1 4.3E-10 0.57 0.000000000398420
1 4.3E-10 0.58 0.000000000392319
1 4.3E-10 0.59 0.000000000386440
1 4.4E-10 0.5 0.000000000458883
1 4.4E-10 0.51 0.000000000450656
1 4.4E-10 0.52 0.000000000442763
1 4.4E-10 0.53 0.000000000435184
1 4.4E-10 0.54 0.000000000427902
1 4.4E-10 0.55 0.000000000420902
1 4.4E-10 0.56 0.000000000414167
1 4.4E-10 0.57 0.000000000407685
1 4.4E-10 0.58 0.000000000401442
1 4.4E-10 0.59 0.000000000395427
1 4.5E-10 0.5 0.000000000469312
1 4.5E-10 0.51 0.000000000460898
1 4.5E-10 0.52 0.000000000452826
1 4.5E-10 0.53 0.000000000445075
1 4.5E-10 0.54 0.000000000437627
1 4.5E-10 0.55 0.000000000430468
1 4.5E-10 0.56 0.000000000423580
1 4.5E-10 0.57 0.000000000416951
1 4.5E-10 0.58 0.000000000410566
1 4.5E-10 0.59 0.000000000404414
1 4.6E-10 0.5 0.000000000479741
1 4.6E-10 0.51 0.000000000471140
1 4.6E-10 0.52 0.000000000462888
1 4.6E-10 0.53 0.000000000454965
1 4.6E-10 0.54 0.000000000447352
1 4.6E-10 0.55 0.000000000440034
1 4.6E-10 0.56 0.000000000432993
1 4.6E-10 0.57 0.000000000426216
1 4.6E-10 0.58 0.000000000419690
1 4.6E-10 0.59 0.000000000413401
1 4.7E-10 0.5 0.000000000490170
1 4.7E-10 0.51 0.000000000481383
1 4.7E-10 0.52 0.000000000472951
1 4.7E-10 0.53 0.000000000464856
1 4.7E-10 0.54 0.000000000457078
1 4.7E-10 0.55 0.000000000449600
1 4.7E-10 0.56 0.000000000442406
1 4.7E-10 0.57 0.000000000435482
1 4.7E-10 0.58 0.000000000428813
1 4.7E-10 0.59 0.000000000422388
1 4.8E-10 0.5 0.000000000500599
1 4.8E-10 0.51 0.000000000491625
1 4.8E-10 0.52 0.000000000483014
1 4.8E-10 0.53 0.000000000474746
1 4.8E-10 0.54 0.000000000466803
1 4.8E-10 0.55 0.000000000459166
1 4.8E-10 0.56 0.000000000451819
1 4.8E-10 0.57 0.000000000444747
1 4.8E-10 0.58 0.000000000437937
1 4.8E-10 0.59 0.000000000431375
1 4.9E-10 0.5 0.000000000511028
1 4.9E-10 0.51 0.000000000501867
1 4.9E-10 0.52 0.000000000493077
1 4.9E-10 0.53 0.000000000484637
1 4.9E-10 0.54 0.000000000476528
1 4.9E-10 0.55 0.000000000468732
1 4.9E-10 0.56 0.000000000461232
1 4.9E-10 0.57 0.000000000454013
1 4.9E-10 0.58 0.000000000447061
1 4.9E-10 0.59 0.000000000440362
1 5.0E-10 0.5 0.000000000521457
1 5.0E-10 0.51 0.000000000512109
1 5.0E-10 0.52 0.000000000503139
1 5.0E-10 0.53 0.000000000494527
1 5.0E-10 0.54 0.000000000486253
1 5.0E-10 0.55 0.000000000478298
1 5.0E-10 0.56 0.000000000470645
1 5.0E-10 0.57 0.000000000463279
1 5.0E-10 0.58 0.000000000456184
1 5.0E-10 0.59 0.000000000449349
2 4.0E-10 0.5 0.000000000834332
2 4.0E-10 0.51 0.000000000819375
2 4.0E-10 0.52 0.000000000805023
2 4.0E-10 0.53 0.000000000791244
2 4.0E-10 0.54 0.000000000778004
2 4.0E-10 0.55 0.000000000765276
2 4.0E-10 0.56 0.000000000753032
2 4.0E-10 0.57 0.000000000741246
2 4.0E-10 0.58 0.000000000729895
2 4.0E-10 0.59 0.000000000718958
2 4.1E-10 0.5 0.000000000855190
2 4.1E-10 0.51 0.000000000839859
2 4.1E-10 0.52 0.000000000825149
2 4.1E-10 0.53 0.000000000811025
2 4.1E-10 0.54 0.000000000797454
2 4.1E-10 0.55 0.000000000784408
2 4.1E-10 0.56 0.000000000771857
2 4.1E-10 0.57 0.000000000759777
2 4.1E-10 0.58 0.000000000748143
2 4.1E-10 0.59 0.000000000736932
2 4.2E-10 0.5 0.000000000876048
2 4.2E-10 0.51 0.000000000860343
2 4.2E-10 0.52 0.000000000845274
2 4.2E-10 0.53 0.000000000830806
2 4.2E-10 0.54 0.000000000816904
2 4.2E-10 0.55 0.000000000803540
2 4.2E-10 0.56 0.000000000790683
2 4.2E-10 0.57 0.000000000778308
2 4.2E-10 0.58 0.000000000766390
2 4.2E-10 0.59 0.000000000754906
2 4.3E-10 0.5 0.000000000896907
2 4.3E-10 0.51 0.000000000880828
2 4.3E-10 0.52 0.000000000865400
2 4.3E-10 0.53 0.000000000850587
2 4.3E-10 0.54 0.000000000836355
2 4.3E-10 0.55 0.000000000822672
2 4.3E-10 0.56 0.000000000809509
2 4.3E-10 0.57 0.000000000796839
2 4.3E-10 0.58 0.000000000784637
2 4.3E-10 0.59 0.000000000772879
2 4.4E-10 0.5 0.000000000917765
2 4.4E-10 0.51 0.000000000901312
2 4.4E-10 0.52 0.000000000885525
2 4.4E-10 0.53 0.000000000870368
2 4.4E-10 0.54 0.000000000855805
2 4.4E-10 0.55 0.000000000841804
2 4.4E-10 0.56 0.000000000828335
2 4.4E-10 0.57 0.000000000815370
2 4.4E-10 0.58 0.000000000802885
2 4.4E-10 0.59 0.000000000790853
2 4.5E-10 0.5 0.000000000938623
2 4.5E-10 0.51 0.000000000921796
2 4.5E-10 0.52 0.000000000905651
2 4.5E-10 0.53 0.000000000890149
2 4.5E-10 0.54 0.000000000875255
2 4.5E-10 0.55 0.000000000860936
2 4.5E-10 0.56 0.000000000847161
2 4.5E-10 0.57 0.000000000833902
2 4.5E-10 0.58 0.000000000821132
2 4.5E-10 0.59 0.000000000808827
2 4.6E-10 0.5 0.000000000959482
2 4.6E-10 0.51 0.000000000942281
2 4.6E-10 0.52 0.000000000925777
2 4.6E-10 0.53 0.000000000909930
2 4.6E-10 0.54 0.000000000894705
2 4.6E-10 0.55 0.000000000880067
2 4.6E-10 0.56 0.000000000865986
2 4.6E-10 0.57 0.000000000852433
2 4.6E-10 0.58 0.000000000839379
2 4.6E-10 0.59 0.000000000826801
2 4.7E-10 0.5 0.000000000980340
2 4.7E-10 0.51 0.000000000962765
2 4.7E-10 0.52 0.000000000945902
2 4.7E-10 0.53 0.000000000929711
2 4.7E-10 0.54 0.000000000914155
2 4.7E-10 0.55 0.000000000899199
2 4.7E-10 0.56 0.000000000884812
2 4.7E-10 0.57 0.000000000870964
2 4.7E-10 0.58 0.000000000857627
2 4.7E-10 0.59 0.000000000844775
2 4.8E-10 0.5 0.000000001001198
2 4.8E-10 0.51 0.000000000983249
2 4.8E-10 0.52 0.000000000966028
2 4.8E-10 0.53 0.000000000949492
2 4.8E-10 0.54 0.000000000933605
2 4.8E-10 0.55 0.000000000918331
2 4.8E-10 0.56 0.000000000903638
2 4.8E-10 0.57 0.000000000889495
2 4.8E-10 0.58 0.000000000875874
2 4.8E-10 0.59 0.000000000862749
2 4.9E-10 0.5 0.000000001022057
2 4.9E-10 0.51 0.000000001003734
2 4.9E-10 0.52 0.000000000986153
2 4.9E-10 0.53 0.000000000969273
2 4.9E-10 0.54 0.000000000953055
2 4.9E-10 0.55 0.000000000937463
2 4.9E-10 0.56 0.000000000922464
2 4.9E-10 0.57 0.000000000908026
2 4.9E-10 0.58 0.000000000894122
2 4.9E-10 0.59 0.000000000880723
2 5.0E-10 0.5 0.000000001042915
2 5.0E-10 0.51 0.000000001024218
2 5.0E-10 0.52 0.000000001006279
2 5.0E-10 0.53 0.000000000989054
2 5.0E-10 0.54 0.000000000972505
2 5.0E-10 0.55 0.000000000956595
2 5.0E-10 0.56 0.000000000941290
2 5.0E-10 0.57 0.000000000926557
2 5.0E-10 0.58 0.000000000912369
2 5.0E-10 0.59 0.000000000898697
3 4.0E-10 0.5 0.000000001251498
3 4.0E-10 0.51 0.000000001229062
3 4.0E-10 0.52 0.000000001207535
3 4.0E-10 0.53 0.000000001186865
3 4.0E-10 0.54 0.000000001167006
3 4.0E-10 0.55 0.000000001147914
3 4.0E-10 0.56 0.000000001129547
3 4.0E-10 0.57 0.000000001111869
3 4.0E-10 0.58 0.000000001094843
3 4.0E-10 0.59 0.000000001078436
3 4.1E-10 0.5 0.000000001282785
3 4.1E-10 0.51 0.000000001259788
3 4.1E-10 0.52 0.000000001237723
3 4.1E-10 0.53 0.000000001216537
3 4.1E-10 0.54 0.000000001196182
3 4.1E-10 0.55 0.000000001176612
3 4.1E-10 0.56 0.000000001157786
3 4.1E-10 0.57 0.000000001139665
3 4.1E-10 0.58 0.000000001122214
3 4.1E-10 0.59 0.000000001105397
3 4.2E-10 0.5 0.000000001314073
3 4.2E-10 0.51 0.000000001290515
3 4.2E-10 0.52 0.000000001267911
3 4.2E-10 0.53 0.000000001246209
3 4.2E-10 0.54 0.000000001225357
3 4.2E-10 0.55 0.000000001205310
3 4.2E-10 0.56 0.000000001186025
3 4.2E-10 0.57 0.000000001167462
3 4.2E-10 0.58 0.000000001149585
3 4.2E-10 0.59 0.000000001132358
3 4.3E-10 0.5 0.000000001345360
3 4.3E-10 0.51 0.000000001321241
3 4.3E-10 0.52 0.000000001298100
3 4.3E-10 0.53 0.000000001275880
3 4.3E-10 0.54 0.000000001254532
3 4.3E-10 0.55 0.000000001234008
3 4.3E-10 0.56 0.000000001214263
3 4.3E-10 0.57 0.000000001195259
3 4.3E-10 0.58 0.000000001176956
3 4.3E-10 0.59 0.000000001159319
3 4.4E-10 0.5 0.000000001376648
3 4.4E-10 0.51 0.000000001351968
3 4.4E-10 0.52 0.000000001328288
3 4.4E-10 0.53 0.000000001305552
3 4.4E-10 0.54 0.000000001283707
3 4.4E-10 0.55 0.000000001262705
3 4.4E-10 0.56 0.000000001242502
3 4.4E-10 0.57 0.000000001223056
3 4.4E-10 0.58 0.000000001204327
3 4.4E-10 0.59 0.000000001186280
3 4.5E-10 0.5 0.000000001407935
3 4.5E-10 0.51 0.000000001382695
3 4.5E-10 0.52 0.000000001358477
3 4.5E-10 0.53 0.000000001335224
3 4.5E-10 0.54 0.000000001312882
3 4.5E-10 0.55 0.000000001291403
3 4.5E-10 0.56 0.000000001270741
3 4.5E-10 0.57 0.000000001250852
3 4.5E-10 0.58 0.000000001231698
3 4.5E-10 0.59 0.000000001213241
3 4.6E-10 0.5 0.000000001439222
3 4.6E-10 0.51 0.000000001413421
3 4.6E-10 0.52 0.000000001388665
3 4.6E-10 0.53 0.000000001364895
3 4.6E-10 0.54 0.000000001342057
3 4.6E-10 0.55 0.000000001320101
3 4.6E-10 0.56 0.000000001298980
3 4.6E-10 0.57 0.000000001278649
3 4.6E-10 0.58 0.000000001259069
3 4.6E-10 0.59 0.000000001240202
3 4.7E-10 0.5 0.000000001470510
3 4.7E-10 0.51 0.000000001444148
3 4.7E-10 0.52 0.000000001418853
3 4.7E-10 0.53 0.000000001394567
3 4.7E-10 0.54 0.000000001371233
3 4.7E-10 0.55 0.000000001348799
3 4.7E-10 0.56 0.000000001327218
3 4.7E-10 0.57 0.000000001306446
3 4.7E-10 0.58 0.000000001286440
3 4.7E-10 0.59 0.000000001267163
3 4.8E-10 0.5 0.000000001501797
3 4.8E-10 0.51 0.000000001474874
3 4.8E-10 0.52 0.000000001449042
3 4.8E-10 0.53 0.000000001424238
3 4.8E-10 0.54 0.000000001400408
3 4.8E-10 0.55 0.000000001377497
3 4.8E-10 0.56 0.000000001355457
3 4.8E-10 0.57 0.000000001334242
3 4.8E-10 0.58 0.000000001313811
3 4.8E-10 0.59 0.000000001294124
3 4.9E-10 0.5 0.000000001533085
3 4.9E-10 0.51 0.000000001505601
3 4.9E-10 0.52 0.000000001479230
3 4.9E-10 0.53 0.000000001453910
3 4.9E-10 0.54 0.000000001429583
3 4.9E-10 0.55 0.000000001406195
3 4.9E-10 0.56 0.000000001383696
3 4.9E-10 0.57 0.000000001362039
3 4.9E-10 0.58 0.000000001341182
3 4.9E-10 0.59 0.000000001321085
3 5.0E-10 0.5 0.000000001564372
3 5.0E-10 0.51 0.000000001536327
3 5.0E-10 0.52 0.000000001509418
3 5.0E-10 0.53 0.000000001483582
3 5.0E-10 0.54 0.000000001458758
3 5.0E-10 0.55 0.000000001434893
3 5.0E-10 0.56 0.000000001411934
3 5.0E-10 0.57 0.000000001389836
3 5.0E-10 0.58 0.000000001368553
3 5.0E-10 0.59 0.000000001348046
4 4.0E-10 0.5 0.000000001668664
4 4.0E-10 0.51 0.000000001638749
4 4.0E-10 0.52 0.000000001610046
4 4.0E-10 0.53 0.000000001582487
4 4.0E-10 0.54 0.000000001556009
4 4.0E-10 0.55 0.000000001530552
4 4.0E-10 0.56 0.000000001506063
4 4.0E-10 0.57 0.000000001482492
4 4.0E-10 0.58 0.000000001459790
4 4.0E-10 0.59 0.000000001437915
4 4.1E-10 0.5 0.000000001710380
4 4.1E-10 0.51 0.000000001679718
4 4.1E-10 0.52 0.000000001650297
4 4.1E-10 0.53 0.000000001622049
4 4.1E-10 0.54 0.000000001594909
4 4.1E-10 0.55 0.000000001568816
4 4.1E-10 0.56 0.000000001543715
4 4.1E-10 0.57 0.000000001519554
4 4.1E-10 0.58 0.000000001496285
4 4.1E-10 0.59 0.000000001473863
4 4.2E-10 0.5 0.000000001752097
4 4.2E-10 0.51 0.000000001720687
4 4.2E-10 0.52 0.000000001690549
4 4.2E-10 0.53 0.000000001661611
4 4.2E-10 0.54 0.000000001633809
4 4.2E-10 0.55 0.000000001607080
4 4.2E-10 0.56 0.000000001581366
4 4.2E-10 0.57 0.000000001556616
4 4.2E-10 0.58 0.000000001532780
4 4.2E-10 0.59 0.000000001509811
4 4.3E-10 0.5 0.000000001793813
4 4.3E-10 0.51 0.000000001761655
4 4.3E-10 0.52 0.000000001730800
4 4.3E-10 0.53 0.000000001701174
4 4.3E-10 0.54 0.000000001672709
4 4.3E-10 0.55 0.000000001645343
4 4.3E-10 0.56 0.000000001619018
4 4.3E-10 0.57 0.000000001593679
4 4.3E-10 0.58 0.000000001569275
4 4.3E-10 0.59 0.000000001545759
4 4.4E-10 0.5 0.000000001835530
4 4.4E-10 0.51 0.000000001802624
4 4.4E-10 0.52 0.000000001771051
4 4.4E-10 0.53 0.000000001740736
4 4.4E-10 0.54 0.000000001711609
4 4.4E-10 0.55 0.000000001683607
4 4.4E-10 0.56 0.000000001656670
4 4.4E-10 0.57 0.000000001630741
4 4.4E-10 0.58 0.000000001605769
4 4.4E-10 0.59 0.000000001581707
4 4.5E-10 0.5 0.000000001877247
4 4.5E-10 0.51 0.000000001843593
4 4.5E-10 0.52 0.000000001811302
4 4.5E-10 0.53 0.000000001780298
4 4.5E-10 0.54 0.000000001750510
4 4.5E-10 0.55 0.000000001721871
4 4.5E-10 0.56 0.000000001694321
4 4.5E-10 0.57 0.000000001667803
4 4.5E-10 0.58 0.000000001642264
4 4.5E-10 0.59 0.000000001617655
4 4.6E-10 0.5 0.000000001918963
4 4.6E-10 0.51 0.000000001884561
4 4.6E-10 0.52 0.000000001851553
4 4.6E-10 0.53 0.000000001819860
4 4.6E-10 0.54 0.000000001789410
4 4.6E-10 0.55 0.000000001760135
4 4.6E-10 0.56 0.000000001731973
4 4.6E-10 0.57 0.000000001704865
4 4.6E-10 0.58 0.000000001678759
4 4.6E-10 0.59 0.000000001653603
4 4.7E-10 0.5 0.000000001960680
4 4.7E-10 0.51 0.000000001925530
4 4.7E-10 0.52 0.000000001891804
4 4.7E-10 0.53 0.000000001859422
4 4.7E-10 0.54 0.000000001828310
4 4.7E-10 0.55 0.000000001798399
4 4.7E-10 0.56 0.000000001769624
4 4.7E-10 0.57 0.000000001741928
4 4.7E-10 0.58 0.000000001715254
4 4.7E-10 0.59 0.000000001689550
4 4.8E-10 0.5 0.000000002002396
4 4.8E-10 0.51 0.000000001966499
4 4.8E-10 0.52 0.000000001932055
4 4.8E-10 0.53 0.000000001898985
4 4.8E-10 0.54 0.000000001867210
4 4.8E-10 0.55 0.000000001836662
4 4.8E-10 0.56 0.000000001807276
4 4.8E-10 0.57 0.000000001778990
4 4.8E-10 0.58 0.000000001751748
4 4.8E-10 0.59 0.000000001725498
4 4.9E-10 0.5 0.000000002044113
4 4.9E-10 0.51 0.000000002007468
4 4.9E-10 0.52 0.000000001972307
4 4.9E-10 0.53 0.000000001938547
4 4.9E-10 0.54 0.000000001906110
4 4.9E-10 0.55 0.000000001874926
4 4.9E-10 0.56 0.000000001844927
4 4.9E-10 0.57 0.000000001816052
4 4.9E-10 0.58 0.000000001788243
4 4.9E-10 0.59 0.000000001761446
4 5.0E-10 0.5 0.000000002085830
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