CIRCULAR 29

UNITED STATES DEPARTMENT QF TKt >'-

INTERIOR J. A. Krug,

. GEOLOGICAL SURVEY W. E. Wrather, Director '31

' ' ' August 1948

TABLES OF d 3PACINGS FOR ANGLE 20 

CuKa, CuKt*!, CuKot2 , FeKa, FeKalt FeKa2

By

George Switzer, Joseph M. Axelrod, Marie L. Lindberg, 

and Esper 8. Larsen 3d

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TABLES OP d SPACINGS FOR ANGLE 20

CuK<* FeKa

CuKa . FeKa

, By

Switzer, Joseph M. Axebrod, Marie L. Lindberg, 

and Esper S. Larsen 3d

These tables differ from previously available 

tables in two ways: (1) d values have been calculated 

as Angstrom units rathe"? than kX units, and (2) d 

values have been calculated for an average Ka wave 

length foi? values of 0 up to 75°.

Calculation in terms of true Angstrom units 

has been made possible by use of the x-ray wave 

lengths agreed upon at the July 1946 conference of the 

X-ray Analysis Group of the Institute of Physics 

(Great Britain). Because the adoption of the revised 

wave lengths has also been recommended by the 

American Society for X-ray and Electron Diffraction, 

it. is desirable that kX units (1A = 1.00202 kX) no longer 

be used for calculations of this sort.

The average values of Ka for copper and iron 

were used in calculating the average d values because 

the lines due to Kai and Ka% are not "resolved until the 

high angle region of a Debye-Scherrer type diffraction 

pattern is reached* It is therefore more convenient to 

have a table calculated for the average wave lengths 

for angles up to 0 « 75°. For high angles (6 r 45° ( 

to 9 = 87.5°) separate tables are given for Kai and Kao 

for copper and iron.

The following wave lengths have been ilsed^ 

for calculating these tables:!/

CuKa « 1.5418A 

= 1.54050A

FeKa 1.9373A 

1.93597& 

CuKa2 = 1.54434& FeKa2 a 1.939S1A., .

The d spacings have been tabulated in terms 

of 20 in order to facilitate their use with powder 

cameras having an effective diameter of 114.59 mm. 

With 114.59 mm. diameter cameras, centerHo-liae N 

measurements on the film in millimeters are equal 

to the angle 20, hence the d spacings may be lookfed . 

up directly from the film measurements. If 

cameras having a diameter of 57.3 mm. are being 

used, the film distance in millimeters must ,be > 

doubled.

As a check on accuracy, each table has been 

calculated completely and independently twice; la - > 

the calculations, seven-place tables of natural trigonometric functions were used, and the calctilafeetl 

values rounded off to five significant figures;

For a complete list of the new x-ray, 

wave lengths, see either the Jqur.-a 

Instr.. Jan. 1947. p. 27; or America 

Mineralogist, vol. 32, p. 292, 1847.
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.91606

.91102

.90611

.90131

.89664

.89207

.88763

.88329

.87906

.87494

, .87093

.86701

.86320

.85948

.85587

.85234

.84891

.84557

.84233

.83917

.83609

.83311

.83020

.82738

.82465

.82199

.81941

.81691

/.81449

.81214

.80987

.80767

.80554

.80349

.80151

.79960
COPPEE - ,Ka£i X = 1.54434 A Continued

29

150

151

152

153

154

155

156

157

158

159

160

161

162

163

164

165

166

167

168

169

170

171

172

173

174

175

.0

.79941

.79757

.79581

.79411

.79248

.79092

- .76942

.78799

.78662

.78532

.78408

.78291

.78180

.78075

.77976

.77883

.77797

.77717

.77642

.77574

.77512

.77456

.77406

.77361

.77323

.77291

,1

.79922

.79739

.79564

.79395

.79232

.79077

.78927

. .78785

.78649

.78519

.78396

.78279

.78169

.78064

.77966

.77874

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.77709

.77635

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.77506 '

.77450

.77401

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.2

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.79722

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.78913

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. .78158 .

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.79885

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.78623

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.78372

.78257

.78147

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. .77772

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.78743

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.78360

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-.79313

.79154

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.78855

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.7

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.79280

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71

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73

74

75

76

77

78

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80

81

82

83

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85

86

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90

91

92

93

94

95

96

, 97

98

99

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101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

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.0

1.9085

1.8807

1.8539

1.827&

1.8028

1.7785

1.7550

1.7322

1.7102

1.6888

1.6680

1.6479

1.6285

1.6095

1.5912

1.5733

1.5560

1.5392

1.5228

1.5069

1.4915

1.4765

1.4618

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1,4338

1.4203

1.4072

1.3944

1.3820

1.3699

1.3581

1.3466

1.3354

1.3244

1.3138

1.3034

1.2933

1.2835

1.2738

1.2645

1.2553

1.2464

1.2377

1.2292

1.2209

1.2129

1.2050

1.1973

1.1898

1.1825

1.1754

1,1684

1.16(16

1.1560

1.1485

1.1422

1.1360

1.1300

1.1242

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1.9057

1.8780,

1.8512

1.8254

1.8003

1.7761

1.7527

1.7300

1.7080

1.6867

1.6660

1.6460

1.6265

1.6077

1.5894

1.5716

1.5543

1.5375

1.5212

1.5054

1.4900

1.4750

1.4604

1.4462

1.4324

1.4190

1.4059

1.3932

1.3808

1.3687

1.3569

1.3454

1.3343

1.3234

1.3128

1.3024

1.2923

1.2825

1.2729

1.2635

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1.2455

1.2368

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1.2201

1.2121

1.2042

1.1965

1.1891

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1.1677

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1.1543

1.1479

1.1416

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1.8753

1.8486

1.8228

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1.7737

1.7504

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1.7058

1.6846

1.6640

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1.5526

1.5359

1.5196

1.5038

1.4884

1.4735

1.4590

1.4448

1.4310

1.4176

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1.3795

1.3675

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1.3443

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1.2360

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1.2193

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1.1883

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1.1670

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1.6040

1.5858

1.5681

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1.5180

1.5023

1.4869

1.4720

1.4575

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1.4297

1.4163

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1.3906

1.3783

1.3663

1.3546

1.3432

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1.2806

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1.2267

1.2185

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1.2027

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1.1876

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1.1883

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1.1466

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* 1.9373 A -Continued

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1.8973 '

1.8699

1.8434

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 1.7930

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1.3310

1.3202

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1.2608

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1.1869

1.1796

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1.1657

1.1589

1.1524

1.1460

1.1397

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1.8672

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1.6381

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1.4839

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1.3409

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1.2420

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1.1935

1.1861

1.1789

1.1719

1.1650

1.1583

1.1517

1.1453

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1.1271

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1.8917 ^

1.8645

1.8382

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1.6559

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1.3288

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1.3076

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1.2682

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1.1928

1.1854

1.1782

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1.1643

1.1576

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1.5612

1.5442

1,5277

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1.4961

1.4809

1.4662

1.4518

1.4379

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1.4111

1.3982

1.3857

1.3735

1.3616

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1.3387

1.3277

1.3170

1.3065

1.2963

1.2864

1.2767

1.2673

1.2580

1.2491

1.2403

1.2317

1.2234

1.2153

1.2073

1.1996

1.1920

1.1847

1.1775

1.1705

1.1636

1.1569

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1.1379

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1.6133

1.5948

1.5769

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1.6261

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