Design of a diffusion cell for use with a Rayleigh interferometer in membrane-transport studies

Peter H. Bollenbeck; W. Fred Ramirez

doi:10.1364/JOSA.65.000131

Journal of the Optical Society of America
Vol. 65,
Issue 2,
pp. 131-138
(1975)
•https://doi.org/10.1364/JOSA.65.000131

Design of a diffusion cell for use with a Rayleigh interferometer in membrane-transport studies

Peter H. Bollenbeck and W. Fred Ramirez

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Peter H. Bollenbeck and W. Fred Ramirez, "Design of a diffusion cell for use with a Rayleigh interferometer in membrane-transport studies," J. Opt. Soc. Am. 65, 131-138 (1975)

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Abstract

Basic criteria are given for the design and use of a diffusion cell for a Rayleigh interferometer for membrane-transport studies. The effect of wave-front deflection on the fringe pattern is presented, as well as a numerical technique that allows the data to be corrected for deflection effects. A completely new type of diffusion cell is discussed that allows transport through membranes to be observed.

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Time (s)	Deflection (cm)		Location of plane (cm)
Time (s)	arc	st. line	arc	st. line
60	−0.0256	−0.0258	0.9631	0.9661
120	−0.0182	−0.0183	0.9653	0.9660
180	−0.0149	−0.0149	0.9656	0.9660
240	−0.0129	−0.0129	0.9658	0.9659
300	−0.0116	−0.0116	0.9658	0.9659
600	−0.0082	−0.0082	0.9659	0.9659
900	−0.0067	−0.0067	0.9659	0.9659
1200	−0.0058	−0.0058	0.9659	0.9659
1500	−0.0052	−0.0052	0.9659	0.9659
1800	−0.0047	−0.0047	0.9659	0.9659
2100	−0.0044	−0.0044	0.9659	0.9659
2400	−0.0041	−0.0041	0.9659	0.9659
2700	−0.0039	−0.0039	0.9659	0.9659
3000	−0.0037	−0.0037	0.9659	0.9659
3300	−0.0035	−0.0035	0.9659	0.9659
3600	−0.0033	−0.0033	0.9659	0.9659
7200	−0.0024	−0.0024	0.9659	0.9659
14400	−0.0017	−0.0017	0.9659	0.9659

Fringe position relative to membrane (cm)	Actual dn/dx × 10³	At back of cell		At focal plane
Fringe position relative to membrane (cm)	Actual dn/dx × 10³	$\frac{d n}{d x} \times 10^{3}$	Percent error	$\frac{d n}{d x} \times 10^{3}$	Percent error
−0.0020	−6.061	−5.863	−3.27	−6.010	−0.839
−0.0130	−6.008	−5.810	−3.28	−5.957	−0.873
−0.0240	−5.879	−5.684	−3.31	−5.830	−0.833
−0.0350	−5.678	−5.488	−3.35	−5.631	−0.826
−0.0470	−5.387	−5.204	−3.40	−5.343	−0.815
−0.0600	−5.002	−4.827	−3.49	−4.962	−0.800
−0.0740	−4.525	−4.362	−3.60	−4.489	−0.780
−0.0900	−3.933	−3.785	−3.75	−3.903	−0.751
−0.1080	−3.251	−3.122	−3.96	−3.228	−0.712
−0.1310	−2.423	−2.320	−4.28	−2.408	−0.652
−0.1660	−1.391	−1.323	−4.89	−1.383	−0.539

Position in cell (cm)	Percent error in derivative of refractive index remaining after indicated iteration
Position in cell (cm)	0	1	2	3
−0.0010	−3.512	0.103	−0.041	0.000
−0.0080	−3.509	0.104	−0.041	0.000
−0.0170	−3.496	0.105	−0.042	0.000
−0.0260	−3.473	0.106	−0.043	0.000
−0.0350	−3.441	0.108	−0.044	0.001
−0.0450	−3.394	0.112	−0.045	0.001
−0.0550	−3.335	0.116	−0.047	0.002
−0.0660	−3.257	0.121	−0.049	0.002
−0.0770	−3.165	0.128	−0.052	0.003
−0.0900	−3.037	0.137	−0.056	0.004
−0.1040	−2.877	0.148	−0.061	0.005
−0.1210	−2.652	0.164	−0.068	0.007
−0.1430	−2.308	0.188	−0.079	0.009
−0.1750	−1.704	0.230	−0.098	0.013

Time (s)	Deflection (cm)		Location of plane (cm)
Time (s)	arc	st. line	arc	st. line
60	−0.0256	−0.0258	0.9631	0.9661
120	−0.0182	−0.0183	0.9653	0.9660
180	−0.0149	−0.0149	0.9656	0.9660
240	−0.0129	−0.0129	0.9658	0.9659
300	−0.0116	−0.0116	0.9658	0.9659
600	−0.0082	−0.0082	0.9659	0.9659
900	−0.0067	−0.0067	0.9659	0.9659
1200	−0.0058	−0.0058	0.9659	0.9659
1500	−0.0052	−0.0052	0.9659	0.9659
1800	−0.0047	−0.0047	0.9659	0.9659
2100	−0.0044	−0.0044	0.9659	0.9659
2400	−0.0041	−0.0041	0.9659	0.9659
2700	−0.0039	−0.0039	0.9659	0.9659
3000	−0.0037	−0.0037	0.9659	0.9659
3300	−0.0035	−0.0035	0.9659	0.9659
3600	−0.0033	−0.0033	0.9659	0.9659
7200	−0.0024	−0.0024	0.9659	0.9659
14400	−0.0017	−0.0017	0.9659	0.9659

Fringe position relative to membrane (cm)	Actual dn/dx × 10³	At back of cell		At focal plane
Fringe position relative to membrane (cm)	Actual dn/dx × 10³	$\frac{d n}{d x} \times 10^{3}$	Percent error	$\frac{d n}{d x} \times 10^{3}$	Percent error
−0.0020	−6.061	−5.863	−3.27	−6.010	−0.839
−0.0130	−6.008	−5.810	−3.28	−5.957	−0.873
−0.0240	−5.879	−5.684	−3.31	−5.830	−0.833
−0.0350	−5.678	−5.488	−3.35	−5.631	−0.826
−0.0470	−5.387	−5.204	−3.40	−5.343	−0.815
−0.0600	−5.002	−4.827	−3.49	−4.962	−0.800
−0.0740	−4.525	−4.362	−3.60	−4.489	−0.780
−0.0900	−3.933	−3.785	−3.75	−3.903	−0.751
−0.1080	−3.251	−3.122	−3.96	−3.228	−0.712
−0.1310	−2.423	−2.320	−4.28	−2.408	−0.652
−0.1660	−1.391	−1.323	−4.89	−1.383	−0.539

Abstract

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Figures (6)

Tables (3)

Equations (41)

Journal of the Optical Society of America