Updated	06/10/2016 Page	1 of	17

Titanium	Cells	Thickness	Memo

Date:		4/19/2016,	revised	1/30/2020

File:	Ti	cell	thickness	memo

By:	John	Barker	and	Cedric	Gagnon

Technique

The	sample	thickness	of 1	mm,	2	mm	and	4	mm	thick	Ti	cells	were determined	by	

measuring	the	transmission	from	de-ionized	water.			Note	the	samples	were	not	

degassed	and	some	small	bubbles	were	seen	on	the	glass	surfaces.		All	large	bubbles	

were	removed.		Measurements	were	made	on	four	separate	occasions	on	both	NG7	

and	NGB 30m	SANS	instruments	using	λ	=	6	Å,	eight	guides	and	sample	detector	

distance	of	at	least	13 m	distance to	enlarge	beam	area	to	allow	higher	count	rates.	

The	thickness	was	determined	using	the	expression:

where	Σtot =	6.539	cm-1 from	water	at	20 ̊	C	and	λ	=	6 Å based	upon	an	ILL	report.		

Note	that	if	the	wavelength	differs	from	nominal	value a	significant	systematic	error	

is	created	by	using	an	incorrect	value	for	Σtot. The	typical	standard	error	from	

counting	statistics	is	0.003	mm.

Results

•	1	mm	thick	cells	having	ID	1-20	had	a	measured	thickness	of	0.97	mm	+/- 0.01	

mm.

•	1	mm	thick	cells	having	ID	50-100	had	an	average	thickness	near	1	mm,	but	varied	

over	a	larger	range	spanning	0.9	to	1.06	mm.

•	2	mm	thick	cells	having	ID	50-90	had	an	average	thickness	near	1.98	mm,	but	

varied	over	a	large	range	spanning	1.91	to	2.05	mm.		One	cell	(#63)	was	unusually	

ds = −ln(T)/ Σtotal
Updated	06/10/2016 Page	2 of	17

thin	at	1.73	mm	(verified	with mechanical	caliper	measurement).		This	cell	should	

be	removed	from	use.

•	4	mm	thick	cells	having	ID	15-35	had	an	average	thickness	near	3.94	mm,	but	

varied	over	a	large	range	spanning	3.82	to	4.01	mm.

•	Seven	1-mm	cells	were	measured	twice:	Jan	5th and	on	May	26th.		The	repeat	cell	

IDs	are:	133,	135-138	and	141.

•	20	more	1-mm	cells	were	measured	on	Sep	14th,	2015.

•	New	USANS	cells	were	measured	on	Sep	14th,	2015.		Cells	#1-10	of	both	2	mm	and	

5	mm	path	length.

•	New	1-mm	cells having ID’s	161	– 261	were	measured	Oct	16th,	2015.

•	New	2-mm	cells having green values	were	measured	in	June,	2019.

•	80	New	1-mm	cells having red values were	measured	Jan 5th,	2020.
Updated	06/10/2016 Page	3 of	17

Figure	1.		Sample	thickness	determined	from	transmission	from	water	for	nominally	1	mm	thick	Ti

cells.		Note	that	the	measured	thickness	of	cells	having	ID	1-20	are	rather	uniform	while	higher	ID	

numbers	are	more	scattered.	 ID	1-20	were	manufactured	separately.		

Figure	2.		Sample	thickness	determined	from	transmission	from	water	for	nominally	2 mm	thick	Ti	

cells.		

0.85

0.9

0.95

1

1.05

1.1

0 50 100 150 200 250 300

sample thickness (mm)

 1 mm ID

Trans Ti Cells 1mm

1.7

1.75

1.8

1.85

1.9

1.95

2

2.05

2.1

0 20 40 60 80 100

sample thickness (mm)

 2 mm ID

Trans Ti Cells 2mm
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Figure	3.		Sample	thickness	determined	from	transmission	from	water	for	nominally	4	mm	thick	Ti	

cells.

Figure	4.		Comparison	of	thickness	of	eight	1	mm	thick	cells	measured	both	by	shops	and	by	water	

transmission.		Shop	measured thicknesses	are	all	slightly	larger	than	that	found	by	neutron	

transmission	from	water.		The	cell	ID	number	is	included	in	graph.

3.75

3.8

3.85

3.9

3.95

4

4.05

0 10 20 30 40 50 60

sample thickness (mm)

 4 mm ID

Trans Ti Cells 4mm

0.97

0.98

0.99

1

1.01

1.02

1.03

1 2 3 4 5 6 7 8

ds (mm) T

ds (mm) shops

Cell thickness (mm)

ID

Ticell thick shops

170

176

196

200

207

252

256

259
Updated	06/10/2016 Page	5 of	17

Table	1.		Measured	transmission	of	water	and	calculated	sample	thickness	for	SANS	

cells.		Measurements in green and red of	new	cells	were	made	in	June	2019	and	Jan,	

2020.		

1	mm 2	mm 4	mm

I.D.# T ds

(mm)

I.D.# T ds	

(mm)

I.D.# T ds

(mm)

1 0.520 0.985 1 0.259 2.066 1 0.0775 3.911

2 0.521 1.016 2 2.073 2 0.0781 3.899

3 0.526 0.983 3 0.271 1.965 3 0.0770 3.921

4 1.015 4 0.287 1.910 4 0.0783 3.896

5 0.525 0.968 5 0.271 1.994,	

2.071n

5

6 0.517 0.971 6 0.276 1.968 6 0.0769 3.922

7 7 0.273 1.986 7 0.0753 3.956

8 0.517 0.993 8 0.278 1.959 8 0.0770 3.922

9 1.010 9 0.264 2.039 9 0.0833 3.801

10 0.529 0.972 10 0.270 1.973 10 0.0750 3.962

11 0.531 0.968 11 0.258 2.041 11 0.0761 3.940

12 0.523 0.977 12 0.273 1.956 12

13 0.529 0.975 13 0.272 1.964 13 0.0790 3.883

14 1.017 14 0.278 1.928 14 0.0756 3.949

15 0.527 0.980 15 0.272 1.962 15

16 0.530 0.970 16 0.277 1.934 16 0.0769 3.922

17 17 0.265 2.002 17 0.0725 4.013

18 18 0.254 2.062 18 0.0773 3.914

19 0.531 0.967 19 0.278 1.926 19 0.0785 3.891

20 1.010 20 0.263 2.011 20 0.0752 3.957

21 0.561 0.872 21 0.256 2.051 21 0.0820 3.824

22 0.507 1.040 22 0.272 1.960 22 0.0734 3.995

23 23 0.278 1.931 23 0.0782 3.898
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24 24 0.266 1.997 24 0.0764 3.934

25 0.517 1.010 25 0.273 1.957 25

26 0.500 1.044 26 2.088 26 0.0759 3.944

27 0.524 0.990 27 0.262 2.020 27 0.0737 3.987

28 0.510 1.029 28 0.276 1.940 28 0.0763 3.934

29 0.523 0.975 29 0.268 1.986 29 0.0807 3.850

30 1.007 30 30 0.0754 3.953

31 0.542 0.921 31 0.279 1.953 31 0.0763 3.936

32 0.524 0.975,	

1.002n

32 0.272 1.989 32 0.0758 3.945

33 0.525 0.971 33 0.275 1.972 33 0.0827 3.812

34 0.507 1.022 34 0.274 1.979 34 0.0808 3.848

35 1.007 35 0.281 1.939 35 0.0766 3.929

36 1.024 36 2.090 36 0.0793 3.877

37 0.512 1.023,

1.020n

37 0.276 1.968 37 0.0749 3.962

38 0.505 1.030 38 38 0.0784 3.894

39 0.531 0.955 39 0.289 1.900 39 0.0772 3.918

40 0.537 0.951 40 0.267 1.989 40 0.0724 4.015

41 0.505 1.030 41 0.266 1.994 41 0.0772 3.917

42 0.508 1.020 42 0.269 1.976 42 0.0757 3.889

43 1.007 43 0.275 1.944 43

44 44 0.267 1.992 44 0.0766 3.928

45 0.501 1.042 45 2.021 45 0.0828 3.809

46 0.512 1.010 46 0.268 1.985 46 0.0788 3.885

47 0.531 0.969 47 47 0.0804 3.797

48 0.503 1.052 48 48 0.0726 4.012

49 49 49

50 1.021 50 0.257 2.045 50

51 1.006 51 0.266 1.992 51 0.0752 3.957
Updated	06/10/2016 Page	7 of	17

52 1.005 52 0.273 1.958 52 0.0778 3.906

53 1.006 53 0.283 1.929 53 0.0781 3.900

54 0.515 1.016 54 0.267 1.992 54 0.0790 3.882

55 0.506 1.042 55 0.259 2.038 55 0.0812 3.839

56 0.5004 1.059 56 0.272 1.961 56

57 1.010 57 0.278 1.927 57

58 0.519 1.004 58 2.096 58

59 0.513 1.021 59 0.267 1.992 59

60 0.519 0.989 60 0.280 1.944 60

61 0.523 0.977 61 0.279 1.952

62 1.000 62 0.274 1.979

63 0.520 0.985 63 0.321 1.736,	

2.080n

64 1.018 64 0.275 1.974

65 0.534 0.945 65 0.286 1.916

66 1.004 66 0.266 2.022

67 1.004 67 0.269 2.010

68 0.981 68 0.279 1.951

69 1.028 69 0.276 1.971

70 0.976 70 0.270 2.004

71 0.972 71 0.278 1.955

72 0.533 0.963 72 0.282 1.933

73 0.521 0.997 73 0.263 2.041

74 0.512 1.024 74 0.275 1.973

75 0.510 1.031 75 0.278 1.956

76 0.988 76 0.270 2.002

77 0.511 1.012 77 0.284 1.927

78 0.494 1.062 78 0.285 1.922

79 0.508 1.037 79 0.267 2.021

80 0.516 1.013 80 0.270 2.003
Updated	06/10/2016 Page	8 of	17

81 1.032 81 0.267 2.017

82 0.517 1.009 82 0.278 1.957

83 0.553 0.905 83 0.274 1.980,	

2.091n

84 0.522 0.995 84 0.258 2.041

85 0.525 0.987 85 0.262 2.047,	

2.094n

86 1.044 86 0.271 1.999

87 0.538 0.949 87 0.270 2.004

88 0.501 1.057 88 0.271 1.999

89 0.535 0.957 89 0.279 1.950

90 0.514 1.019 90 0.268 1.982

91 0.526 0.981 91 0.263 2.012

92 0.508 1.037 92 0.270 1.973

93 0.538 0.947 93 0.269 1.980

94 0.526 0.982 94 0.271 1.969

95 95 0.273 1.955

96 0.526 0.984 96

97 0.532 0.952 97 0.285 1.893

98 0.507 1.023 98 0.271 1.969

99 0.516 1.012 99 0.268 1.986

100 1.014 100 2.097

101 0.508 1.019,

1.015n

101 2.092

102 0.517 0.994,	

1.022n

102 2.071

103 1.001 103 2.048

104 1.014 104 2.069

105 1.003 105 2.103

106 0.995 106 2.046

107 0.960 107 2.060

108 1.003 108 2.077
Updated	06/10/2016 Page	9 of	17

109 0.989 109 2.080

110 0.505 1.046 110 2.080

111 0.514 1.019 111 2.051

112 0.506 1.025 112 2.061

113 0.507 1.023 113 2.064

114 0.513 1.005 114 2.071

115 0.508 1.021,	

1.008n

115 2.044

116 0.508 1.020,	

0.983n

116 2.053

117 117 2.075

118 0.509 1.018 118 2.084

119 119 2.088

120 0.510 1.029,	

0.992n

120 2.080

121 0.516 1.012 121 2.045

122 0.538 0.933,	

0.998n

122 2.034

123 0.546 0.912,	

1.004n

123 2.047

124 1.037 124 2.052

125 0.534 0.945 125 2.050

126 0.533 0.963 126 2.063

127 0.539 0.946 127 2.099

128 0.552 0.895 128 2.052

129 0.550 0.900 129 2.089

130 0.549 0.904 130 2.061

131 0.546 0.913 131 2.060

132 0.544 0.917 132

133 0.552 0.908,	

0.912

133 2.072

134 0.539 0.944 134 2.044

135 0.536 0.953,	

0.954

135 2.065
Updated	06/10/2016 Page	10 of	17

136 0.00 0.880,	

0.888

136 2.054

137 0.560 0.887,	

0.893

137 2.059

138 0.564 0.877,	

0.883

138 2.062

139 0.563 0.879,	

0.872

139 2.053

140 140 2.081

141 0.554 0.902,	

0.923

142 0.553 0.907

143 0.547 0.923

144 0.537 0.952

145 0.556 0.897

146 0.542 0.936

146 0.536 0.941

147 0.548 0.919

147 0.544 0.917

148 0.550 0.914

149 0.551 0.911

149 0.545 0.916

150 0.544 0.931

151 0.541 0.926

152 0.532 0.951

153 0.526 0.968

154 0.514 1.002

155 0.520 0.985

156 0.544 0.918

157

158 0.519 0.988

159 0.529 0.960
Updated	06/10/2016 Page	11 of	17

160 0.516 1.011

161

162 0.533 0.961

163 0.534 0.959

164 0.526 0.984

165 0.537 0.950

166 0.537 0.950

167 0.525 0.985

168 0.534 0.958

169 0.550 0.914

170 0.516 1.010

171 0.534 0.958

172 0.540 0.943

173 0.533 0.963

174 0.551 0.912

175 0.534 0.961

176 0.544 0.932

177 0.543 0.934

178 0.530 0.972

179 0.528 0.977

180 0.534 0.961

181 0.533 0.963

182 0.543 0.934,	

1.017n

183 0.522 0.994

184 0.521 0.996

185 0.529 0.974

186 0.525 0.987

187 0.533 0.963

188 0.535 0.956
Updated	06/10/2016 Page	12 of	17

189 0.532 0.967

190 0.529 0.973,	

1.019n

191 0.530 0.972,	

1.022n

192 0.519 1.002

193 0.530 0.972,	

0.989n

194 0.521 0.997

195 0.521 0.998,	

1.015n

196 0.518 1.006,	

1.035n

197 0.532 0.966

198 0.531 0.967

199 0.532 0.964

200 0.524 0.988

201 0.529 0.973

202 0.523 0.991

203 0.523 0.992

204 0.536 0.953

205 0.541 0.940

206 0.537 0.950

207 0.517 1.009

208 0.523 0.990

209 0.524 0.987

210 0.528 0.976

211 0.519 1.002

212 0.529 0.973

213 0.520 1.000

214 0.529 0.973

215 0.540 0.943

216 0.527 0.979

217 0.527 0.980
Updated	06/10/2016 Page	13 of	17

218 0.524 0.989

219 0.528 0.975

220 0.531 0.967,	

0.983n

221 0.532 0.967

222 0.530 0.972

223 0.514 1.018,	

1.015n

224 0.539 0.946

225 0.529 0.973

226 0.532 0.965

227 0.530 0.970

228 0.529 0.974

229 0.540 0.943

230 0.537 0.950

231 0.524 0.988

232 0.532 0.966

233 0.523 0.990

234 0.537 0.951

235 0.532 0.965

236 0.521 0.997

237 0.527 0.980

238 0.531 0.969

239 0.535 0.955

240 0.529 0.973

241 0.531 0.968

242 0.532 0.966

243 0.525 0.985

244 0.532 0.964

245 0.531 0.967

246 0.537 0.951
Updated	06/10/2016 Page	14 of	17

247 0.520 0.999

248 0.529 0.974

249 0.535 0.957

250 0.531 0.969

251 0.523 0.993

252 0.514 1.018

253 0.534 0.961

254 0.537 0.952

255 0.543 0.935

256 0.521 0.997

257 0.527 0.980

258 0.532 0.966

259 0.517 1.009

260 0.532 0.966

261 0.523 0.990

262 1.031

263 1.017

264 1.000

265 1.000

266 1.009

267 1.020

268 1.006

269 1.010

270 1.013

271 1.009

272 0.978

273

274 1.009

275 1.002
Updated	06/10/2016 Page	15 of	17

276 0.995

277 0.992

278 0.993

279 1.020

280 0.993

281 0.998

282 1.009

283 1.024

284 1.037

285 1.006

286 1.037

287 1.012

288 1.018

289 0.995

290 0.962

291 1.010

292
Updated	06/10/2016 Page	16 of	17

Table	2.		Measured	transmission	of	water	and	calculated	sample	thickness	for	

USANS	cells.

2	mm 5	mm

I.D.# T ds		(mm) I.D.# T ds		(mm)

1 0.2768 1.964 1 0.03937 4.947

2 0.2745 1.977 2 0.03940 4.946

3 0.2744 1.978 3 0.03896 4.963

4 0.2741 1.980 4 0.03930 4.950

5 0.2738 1.981 5 0.03940 4.946

6 0.2721 1.990 6 0.03920 4.954

7 0.2733 1.984 7 0.03985 4.928

8 0.2737 1.981 8 0.03926 4.951

9 0.2732 1.985 9 0.03979 4.931

10 0.2725 1.988 10 0.03950 4.942

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23

24 24

25 25
Updated	06/10/2016 Page	17 of	17

26 26

27 27

28 28

29 29

30 30